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But despite all her fans, she has sparked controversy at nearly every stage of her career. Critics say she misrepresents research to make her case and her ideas actually impede students. Now, with a new book coming out in May, provocatively titled “MATH-\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">ish\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">,” Boaler is fighting back. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“This is a whole effort to shut me down, my research and my writing,” said Boaler. “I see it as a form of knowledge suppression.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Academic fights usually don’t make it beyond the ivory tower. But Boaler’s popularity and influence have made her a focal point in the current math wars, which also seem to reflect the broader culture wars. In the last few months, \u003c/span>\u003ca href=\"https://nypost.com/2024/03/22/opinion/dei-math-ed-prof-who-helped-get-algebra-banned-in-frisco-is-accused-of-faulty-research/\">\u003cspan style=\"font-weight: 400\">tabloids\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> and \u003c/span>\u003ca href=\"https://www.piratewires.com/p/jo-boaler-misrepresented-citations\">\u003cspan style=\"font-weight: 400\">conservative publications\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> have turned Boaler into something of an education villain who’s captured the attention of \u003c/span>\u003ca href=\"https://twitter.com/elonmusk/status/1770663755149656458\">\u003cspan style=\"font-weight: 400\">Elon Musk\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> and \u003c/span>\u003ca href=\"https://twitter.com/tedcruz/status/1770659605774786758\">\u003cspan style=\"font-weight: 400\">Texas Sen. Ted Cruz\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> on social media. Critics have even questioned Boaler’s association with a \u003c/span>\u003ca href=\"https://www.piratewires.com/p/yolande-beckles-scammer-california-education-system\">\u003cspan style=\"font-weight: 400\">former reality tv star\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“I am the next target,” Boaler said, describing the death threats and abusive email she’s been receiving.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">This controversy matters on a much larger level because there is a legitimate debate about how math should be taught in American schools. Cognitive science research suggests that students need a lot of practice and memorization to master math. And once students achieve success through practice, this success will motivate them to learn and enjoy math. In other words, success increases motivation at least as much as motivation produces success. \u003c/span>\u003c/p>\n\u003cp>[ad fullwidth]\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Yet, from Boaler’s perspective, too many students feel like failures in math class and hate the subject. That leaves us with millions of Americans who are innumerate. Nearly 2 out of every 5 eighth graders don’t even have the most basic math skills, according to the \u003c/span>\u003ca href=\"https://www.nationsreportcard.gov/highlights/mathematics/2022/\">\u003cspan style=\"font-weight: 400\">2022 National Assessment of Educational Progress\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> (NAEP). On the \u003c/span>\u003ca href=\"https://hechingerreport.org/proof-points-there-is-a-worldwide-problem-in-math-and-its-not-just-about-the-pandemic/\">\u003cspan style=\"font-weight: 400\">Program for International Student Assessment (PISA)\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">, American 15-year-olds rank toward the bottom of economically advanced nations in math achievement. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Boaler draws upon a different body of research about student motivation that looks at the root causes of why students don’t like math based on surveys and interviews. Students who are tracked into low-level classes feel discouraged. Struggling math students often describe feelings of anxiety from timed tests. Many students express frustration that math is just a collection of meaningless procedures. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Boaler seeks to fix these root causes. She advocates for ending tracking by ability in math classes, getting rid of timed tests and starting with conceptual understanding before introducing procedures. Most importantly, she wants to elevate the work that students tackle in math classes with more interesting questions that spark genuine curiosity and encourage students to think and wonder. Her goal is to expose students to the beauty of mathematical thinking as mathematicians enjoy the subject. Whether students actually learn more math the Boaler way is where this dispute centers. In other words, how strong is the evidence base?\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">The latest battle over Boaler’s work began with an anonymous complaint published in March by the \u003c/span>\u003ca href=\"https://freebeacon.com/california/san-francisco-cited-this-professor-to-end-8th-grade-algebra-her-research-had-reckless-disregard-for-accuracy-complaint-alleges/\">\u003cspan style=\"font-weight: 400\">Washington Free Beacon\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">, the same conservative website that first surfaced plagiarism accusations against Claudine Gay, the former president of Harvard University. The \u003c/span>\u003ca href=\"https://drive.proton.me/urls/P7BYBG7E6R#VCfOpReAcH9F\">\u003cspan style=\"font-weight: 400\">complaint\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> accuses Boaler of a “reckless disregard for accuracy” by misrepresenting research citations 52 times and asks Stanford to discipline Boaler, a full professor with an endowed chair. Stanford has said it’s reviewing the complaint and hasn’t decided whether to open an investigation, according to news reports. Boaler \u003ca href=\"https://joboaler.people.stanford.edu/\">stands by her research\u003c/a> (other than one citation that she says has been fixed) and calls the anonymous complaint “bogus.” \u003cspan style=\"color: #111111;font-family: Tiempos,Georgia,serif;font-size: medium\">(\u003c/span>\u003cspan style=\"color: #111111;font-family: Tiempos,Georgia,serif;font-size: medium\">\u003ci>UPDATE: The Hechinger Report learned after this article was published that Stanford has decided \u003c/i>\u003c/span>\u003ca href=\"https://url.us.m.mimecastprotect.com/s/7e_rCXDM32FOJLk3SkNtc7?domain=stanforddaily.com\" target=\"_blank\" rel=\"noopener noreferrer\">\u003cspan style=\"font-family: Tiempos,Georgia,serif;font-size: medium\">\u003ci>not to open an investigation\u003c/i>\u003c/span>\u003c/a>\u003cspan style=\"color: #111111;font-family: Tiempos,Georgia,serif;font-size: medium\">\u003ci>.\u003c/i>\u003c/span>\u003cspan style=\"color: #111111;font-family: Tiempos,Georgia,serif;font-size: medium\">)\u003c/span>\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“They haven’t even got the courage to put their name on accusations like this,” Boaler said. “That tells us something.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Boaler first drew fire from critics in 2005, when she presented new \u003c/span>\u003ca href=\"https://nrich.maths.org/content/id/7011/nrich%20paper.pdf\">\u003cspan style=\"font-weight: 400\">research claiming that students at a low-income school\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> who were behind grade level had outperformed students at higher achieving schools when they were taught in classrooms that combined students of different math achievement levels. The supposed secret sauce was an unusual curriculum that emphasized group work and de-emphasized lectures. Critics disparaged the findings and hounded her to release her data. Math professors at Stanford and Cal State University \u003c/span>\u003ca href=\"https://nonpartisaneducation.org/Review/Articles/v8n1.pdf\">\u003cspan style=\"font-weight: 400\">re-crunched the numbers\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> and declared they’d found the opposite result.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Boaler, who is originally from England, retreated to an academic post back in the U.K., but returned to Stanford in 2010 with a fighting spirit. She had written a book, “What’s Math Got to Do with It?: How Parents and Teachers Can Help Children Learn to Love Their Least Favorite Subject,” which explained to a general audience why challenging, open-ended problems would help more children to embrace math and how the current approach of boring drills and formulas was turning too many kids off. Teachers loved it.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Boaler accused her earlier critics of academic \u003c/span>\u003ca href=\"https://www.insidehighered.com/news/2012/10/15/stanford-professor-goes-public-attacks-over-her-math-education-research\">\u003cspan style=\"font-weight: 400\">bullying and harassment\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. But she didn’t address their legitimate research questions. Instead, she focused on changing classrooms. Tens of thousands of teachers and parents flocked to her 2013 online course on how to teach math. Building on this new fan base, she founded a nonprofit organization at Stanford called youcubed to train teachers, conduct research and spread her gospel. Boaler says a half million teachers now visit youcubed’s website each month.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Boaler also saw math as a lever to promote social justice. She lamented that too many low-income Black and Hispanic children were stuck in discouraging, low-level math classes. She advocated for change. In 2014, San Francisco \u003c/span>\u003ca href=\"https://sanfrancisco.granicus.com/player/clip/19433?view_id=47&redirect=true\">\u003cspan style=\"font-weight: 400\">heeded that call\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">, mixing different achievement levels in middle school classrooms and delaying algebra until ninth grade. Parents, especially in the city’s large Asian community, protested that delaying algebra was holding their children back. Without starting algebra in middle school, it was difficult to progress to high school calculus, an important course for college applications. Parents blamed Boaler, who applauded San Francisco for \u003c/span>\u003ca href=\"https://hechingerreport.org/opinion-how-one-city-got-math-right/\">\u003cspan style=\"font-weight: 400\">getting math right\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. Ten years later, the city is slated to \u003c/span>\u003ca href=\"https://www.sfusd.edu/about-sfusd/sfusd-news/press-releases/2024-02-14-sfusd-offer-algebra-1-8th-grade-beginning-2024-25-school-year#:~:text=San%20Francisco%20(February%2014%2C%202024,at%20its%20regular%20meeting%20Tuesday.\">\u003cspan style=\"font-weight: 400\">reinstate algebra for eighth graders\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> this fall. Boaler denies any involvement in the unpopular San Francisco reforms.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Before that math experiment unraveled in San Francisco, California education policymakers tapped Boaler to be one of the lead writers of a new math framework, which would guide math instruction throughout the state. The first draft discouraged tracking children into separate math classes by achievement levels, and proposed delaying algebra until high school. It emphasized “social justice” and suggested that students could take data science instead of advanced algebra in high school. Traditional math proponents worried that the document would water down math instruction in California, hinder advanced students and make it harder to pursue STEM careers. And they were concerned that California’s proposed reforms could spread across the nation. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">In the battle to quash the framework, critics attacked Boaler for trying to institute “\u003c/span>\u003ca href=\"https://blog.independent.org/2023/07/10/californias-flawed-k-12-math-framework/\">\u003cspan style=\"font-weight: 400\">woke\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">” mathematics. The battle became personal, with some criticizing her \u003c/span>\u003ca href=\"https://www.oxnardsd.org/site/default.aspx?PageType=3&ModuleInstanceID=16044&ViewID=DEDCCD34-7C24-4AF2-812A-33C0075398BC&RenderLoc=0&FlexDataID=25705&PageID=10939&Tag=&Comments=true\">\u003cspan style=\"font-weight: 400\">$5,000-an-hour\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> consulting and speaking fees at public schools while sending her own children to private school. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Critics also dug into the weeds of the framework document, which is how this also became a research story. A Stanford mathematics professor catalogued a list of what he saw as \u003c/span>\u003ca href=\"https://sites.google.com/view/publiccommentsonthecmf/\">\u003cspan style=\"font-weight: 400\">research misrepresentations\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. Those citations, together with additional characterizations of research findings throughout Boaler’s writings, eventually grew into the anonymous complaint that’s now at Stanford.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">By the time the most recent complaint against Boaler was lodged, the framework had already been revised in substantial ways. Boaler’s critics had arguably won their main policy battles. College-bound students still need the traditional course sequence and cannot substitute data science for advanced algebra. California’s middle schools will continue to have the option to track children into separate classes and start algebra in eighth grade. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">But the attacks on Boaler continue. In addition to seeking sanctions from Stanford, her anonymous critics have asked academic journals to pull down her papers, according to Boaler. They’ve written to conference organizers to stop Boaler from speaking and, she says, they’ve told her funders to stop giving money to her. At least one, the Valhalla Foundation, the family foundation of billionaire Scott Cook (co-founder of the software giant Intuit), stopped funding youcubed in 2024. In 2022 and 2023, it gave Boaler’s organization more than $560,000. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Boaler sees the continued salvos against her as part of the larger right-wing attack on diversity, equity and inclusion, or DEI. She also sees a misogynistic pattern of taking down women who have power in education, such as Claudine Gay. “You’re basically hung, drawn and quartered by the court of Twitter,” she said.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">From my perch as a journalist who covers education research, I see that Boaler has a tendency to \u003c/span>\u003ca href=\"http://www.danielwillingham.com/daniel-willingham-science-and-education-blog/march-13th-2019\">\u003cspan style=\"font-weight: 400\">overstate the implications\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> of a narrow study. Sometimes she cites a theory that’s been written about in an academic journal but hasn’t been proven and labels it research. While technically true – most academic writing falls under the broad category of research – that’s not the same as evidence from a well-designed classroom experiment. And she tends not to factor in evidence that runs counter to her views or adjust her views as new studies arise. Some of her numerical claims seem grandiose. For example, she says one of her 18-lesson summer courses raised achievement by \u003c/span>\u003ca href=\"https://www.youcubed.org/pd/\">\u003cspan style=\"font-weight: 400\">2.8 years\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“People have raised questions for a long time about the rigor and the care in which Jo makes claims related to both her own research and others,” said Jon Star, a professor of math education at Harvard Graduate School of Education. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">But Star says many other education researchers have done exactly the same, and the “liberties” Boaler takes are common in the field. “That’s not to suggest that taking these liberties is okay,” Star said, “but she is being called out for it.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Boaler is getting more scrutiny than her colleagues, he said, because she’s influential, has a large following of devoted teachers and has been involved in policy changes at schools. Many other scholars of math education share Boaler’s views. But Boaler has become the public face of nontraditional teaching ideas in math. And in today’s polarized political climate, that’s a dangerous public face to be.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">The citation controversy reflects bigger issues with the state of education research. It’s often not as precise as the hard sciences or even social sciences like economics. Academic experts are prone to make wide, sweeping statements. And there are too few studies in real classrooms or randomized controlled trials that could settle some of the big debates. Star argues that \u003c/span>\u003ca href=\"https://pubs.nctm.org/view/journals/jrme/49/1/article-p98.xml\">\u003cspan style=\"font-weight: 400\">more replication studies\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> could improve the quality of evidence for math instruction. We can’t know which teaching methods are most effective unless the method can be reproduced in different settings with different students.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">It’s also possible that more research may never settle these big math debates and we may continue to generate conflicting evidence. There’s the real possibility that traditional methods could be more effective for short-term achievement gains, while nontraditional methods might attract more students to the subject, and potentially lead to more creative problem solvers in the future. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Even if \u003c/span>\u003ca href=\"https://notepad.michaelpershan.com/youcubed-is-more-than-just-sloppy-about-research/\">\u003cspan style=\"font-weight: 400\">Boaler is loose\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> with the details of research studies, she could still be right about the big picture. Maybe advanced students would be better off slowing down on the current racetrack to calculus to learn math with more depth and breadth. Her fun, hands-on approach to math might spark just enough motivation to inspire more kids to do their homework. Might we trade off a bit of short-term math achievement for a greater good of a numerate, civic society?\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">In her new book, “\u003c/span>\u003ca href=\"https://www.harpercollins.com/products/math-ish-jo-boaler?variant=41226038083618\">\u003cspan style=\"font-weight: 400\">MATH-\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">ish\u003c/span>\u003c/i>\u003c/a>\u003cspan style=\"font-weight: 400\">,” Boaler is doubling down on her approach to math with a title that seems to encourage inexactitude. She argues that approaching a problem in a “math-ish” way gives students the freedom to take a guess and make mistakes, to step back and think rather than jumping to numerical calculations. Boaler says she’s hearing from teachers that “ish” is far more fun than making estimates.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“I’m hoping this book is going to be my salvation,” she said, “that I have something exciting to do and focus on and not focus on the thousands of abusive messages I’m getting.”\u003c/span>\u003c/p>\n\u003cp>[ad floatright]\u003c/p>\n\u003cp>\u003ci>\u003cspan style=\"font-weight: 400\">This story about \u003c/span>\u003c/i>\u003ca href=\"https://hechingerreport.org/proof-points-stanfords-jo-boaler-book-math-ish-critics/\">\u003ci>\u003cspan style=\"font-weight: 400\">Jo Boaler\u003c/span>\u003c/i>\u003c/a>\u003ci>\u003cspan style=\"font-weight: 400\"> was written by Jill Barshay and produced by \u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">The Hechinger Report\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">, a nonprofit, independent news organization focused on inequality and innovation in education. Sign up for the \u003c/span>\u003c/i>\u003ca href=\"https://hechingerreport.org/proofpoints/\">\u003ci>\u003cspan style=\"font-weight: 400\">Proof Points newsletter\u003c/span>\u003c/i>\u003c/a>\u003ci>\u003cspan style=\"font-weight: 400\">.\u003c/span>\u003c/i>\u003c/p>\n\n","stats":{"hasVideo":false,"hasChartOrMap":false,"hasAudio":false,"hasPolis":false,"wordCount":2235,"hasGoogleForm":false,"hasGallery":false,"hasHearkenModule":false,"iframeSrcs":[],"paragraphCount":32},"modified":1713883570,"excerpt":"With a new book coming out in May, titled “MATH-ish,” Jo Boaler is fighting back against her critics in the current math wars.","headData":{"twImgId":"","twTitle":"","ogTitle":"","ogImgId":"","twDescription":"","description":"With a new book coming out in May, titled “MATH-ish,” Jo Boaler is fighting back against her critics in the current math wars.","socialDescription":"With a new book coming out in May, titled “MATH-ish,” Jo Boaler is fighting back against her critics in the current math wars.","title":"Stanford’s Jo Boaler Discusses Her New Book ‘MATH-ish’ and Takes On Her Critics | KQED","ogDescription":"","schema":{"@context":"http://schema.org","@type":"Article","headline":"Stanford’s Jo Boaler Discusses Her New Book ‘MATH-ish’ and Takes On Her Critics","datePublished":"2024-04-22T03:00:42-07:00","dateModified":"2024-04-23T07:46:10-07:00","image":"https://cdn.kqed.org/wp-content/uploads/2020/02/KQED-OG-Image@1x.png"}},"guestAuthors":[],"slug":"stanfords-jo-boaler-talks-about-her-new-book-math-ish-and-takes-on-her-critics","status":"publish","nprByline":"Jill Barshay, \u003ca href=\"https://hechingerreport.org/\" target=\"_blank\">The Hechinger Report\u003c/a>","excludeFromSiteSearch":"Include","sticky":false,"showOnAuthorArchivePages":"No","articleAge":"0","path":"/mindshift/63615/stanfords-jo-boaler-talks-about-her-new-book-math-ish-and-takes-on-her-critics","audioTrackLength":null,"parsedContent":[{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003cp>\u003cspan style=\"font-weight: 400\">Jo Boaler is a professor at the Stanford Graduate School of Education with a devoted following of teachers who cheer her call to make math education more exciting. But despite all her fans, she has sparked controversy at nearly every stage of her career. Critics say she misrepresents research to make her case and her ideas actually impede students. Now, with a new book coming out in May, provocatively titled “MATH-\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">ish\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">,” Boaler is fighting back. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“This is a whole effort to shut me down, my research and my writing,” said Boaler. “I see it as a form of knowledge suppression.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Academic fights usually don’t make it beyond the ivory tower. But Boaler’s popularity and influence have made her a focal point in the current math wars, which also seem to reflect the broader culture wars. In the last few months, \u003c/span>\u003ca href=\"https://nypost.com/2024/03/22/opinion/dei-math-ed-prof-who-helped-get-algebra-banned-in-frisco-is-accused-of-faulty-research/\">\u003cspan style=\"font-weight: 400\">tabloids\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> and \u003c/span>\u003ca href=\"https://www.piratewires.com/p/jo-boaler-misrepresented-citations\">\u003cspan style=\"font-weight: 400\">conservative publications\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> have turned Boaler into something of an education villain who’s captured the attention of \u003c/span>\u003ca href=\"https://twitter.com/elonmusk/status/1770663755149656458\">\u003cspan style=\"font-weight: 400\">Elon Musk\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> and \u003c/span>\u003ca href=\"https://twitter.com/tedcruz/status/1770659605774786758\">\u003cspan style=\"font-weight: 400\">Texas Sen. Ted Cruz\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> on social media. Critics have even questioned Boaler’s association with a \u003c/span>\u003ca href=\"https://www.piratewires.com/p/yolande-beckles-scammer-california-education-system\">\u003cspan style=\"font-weight: 400\">former reality tv star\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“I am the next target,” Boaler said, describing the death threats and abusive email she’s been receiving.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">This controversy matters on a much larger level because there is a legitimate debate about how math should be taught in American schools. Cognitive science research suggests that students need a lot of practice and memorization to master math. And once students achieve success through practice, this success will motivate them to learn and enjoy math. In other words, success increases motivation at least as much as motivation produces success. \u003c/span>\u003c/p>\n\u003cp>\u003c/p>\u003c/div>","attributes":{"named":{},"numeric":[]}},{"type":"component","content":"","name":"ad","attributes":{"named":{"label":"fullwidth"},"numeric":["fullwidth"]}},{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Yet, from Boaler’s perspective, too many students feel like failures in math class and hate the subject. That leaves us with millions of Americans who are innumerate. Nearly 2 out of every 5 eighth graders don’t even have the most basic math skills, according to the \u003c/span>\u003ca href=\"https://www.nationsreportcard.gov/highlights/mathematics/2022/\">\u003cspan style=\"font-weight: 400\">2022 National Assessment of Educational Progress\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> (NAEP). On the \u003c/span>\u003ca href=\"https://hechingerreport.org/proof-points-there-is-a-worldwide-problem-in-math-and-its-not-just-about-the-pandemic/\">\u003cspan style=\"font-weight: 400\">Program for International Student Assessment (PISA)\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">, American 15-year-olds rank toward the bottom of economically advanced nations in math achievement. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Boaler draws upon a different body of research about student motivation that looks at the root causes of why students don’t like math based on surveys and interviews. Students who are tracked into low-level classes feel discouraged. Struggling math students often describe feelings of anxiety from timed tests. Many students express frustration that math is just a collection of meaningless procedures. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Boaler seeks to fix these root causes. She advocates for ending tracking by ability in math classes, getting rid of timed tests and starting with conceptual understanding before introducing procedures. Most importantly, she wants to elevate the work that students tackle in math classes with more interesting questions that spark genuine curiosity and encourage students to think and wonder. Her goal is to expose students to the beauty of mathematical thinking as mathematicians enjoy the subject. Whether students actually learn more math the Boaler way is where this dispute centers. In other words, how strong is the evidence base?\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">The latest battle over Boaler’s work began with an anonymous complaint published in March by the \u003c/span>\u003ca href=\"https://freebeacon.com/california/san-francisco-cited-this-professor-to-end-8th-grade-algebra-her-research-had-reckless-disregard-for-accuracy-complaint-alleges/\">\u003cspan style=\"font-weight: 400\">Washington Free Beacon\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">, the same conservative website that first surfaced plagiarism accusations against Claudine Gay, the former president of Harvard University. The \u003c/span>\u003ca href=\"https://drive.proton.me/urls/P7BYBG7E6R#VCfOpReAcH9F\">\u003cspan style=\"font-weight: 400\">complaint\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> accuses Boaler of a “reckless disregard for accuracy” by misrepresenting research citations 52 times and asks Stanford to discipline Boaler, a full professor with an endowed chair. Stanford has said it’s reviewing the complaint and hasn’t decided whether to open an investigation, according to news reports. Boaler \u003ca href=\"https://joboaler.people.stanford.edu/\">stands by her research\u003c/a> (other than one citation that she says has been fixed) and calls the anonymous complaint “bogus.” \u003cspan style=\"color: #111111;font-family: Tiempos,Georgia,serif;font-size: medium\">(\u003c/span>\u003cspan style=\"color: #111111;font-family: Tiempos,Georgia,serif;font-size: medium\">\u003ci>UPDATE: The Hechinger Report learned after this article was published that Stanford has decided \u003c/i>\u003c/span>\u003ca href=\"https://url.us.m.mimecastprotect.com/s/7e_rCXDM32FOJLk3SkNtc7?domain=stanforddaily.com\" target=\"_blank\" rel=\"noopener noreferrer\">\u003cspan style=\"font-family: Tiempos,Georgia,serif;font-size: medium\">\u003ci>not to open an investigation\u003c/i>\u003c/span>\u003c/a>\u003cspan style=\"color: #111111;font-family: Tiempos,Georgia,serif;font-size: medium\">\u003ci>.\u003c/i>\u003c/span>\u003cspan style=\"color: #111111;font-family: Tiempos,Georgia,serif;font-size: medium\">)\u003c/span>\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“They haven’t even got the courage to put their name on accusations like this,” Boaler said. “That tells us something.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Boaler first drew fire from critics in 2005, when she presented new \u003c/span>\u003ca href=\"https://nrich.maths.org/content/id/7011/nrich%20paper.pdf\">\u003cspan style=\"font-weight: 400\">research claiming that students at a low-income school\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> who were behind grade level had outperformed students at higher achieving schools when they were taught in classrooms that combined students of different math achievement levels. The supposed secret sauce was an unusual curriculum that emphasized group work and de-emphasized lectures. Critics disparaged the findings and hounded her to release her data. Math professors at Stanford and Cal State University \u003c/span>\u003ca href=\"https://nonpartisaneducation.org/Review/Articles/v8n1.pdf\">\u003cspan style=\"font-weight: 400\">re-crunched the numbers\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> and declared they’d found the opposite result.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Boaler, who is originally from England, retreated to an academic post back in the U.K., but returned to Stanford in 2010 with a fighting spirit. She had written a book, “What’s Math Got to Do with It?: How Parents and Teachers Can Help Children Learn to Love Their Least Favorite Subject,” which explained to a general audience why challenging, open-ended problems would help more children to embrace math and how the current approach of boring drills and formulas was turning too many kids off. Teachers loved it.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Boaler accused her earlier critics of academic \u003c/span>\u003ca href=\"https://www.insidehighered.com/news/2012/10/15/stanford-professor-goes-public-attacks-over-her-math-education-research\">\u003cspan style=\"font-weight: 400\">bullying and harassment\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. But she didn’t address their legitimate research questions. Instead, she focused on changing classrooms. Tens of thousands of teachers and parents flocked to her 2013 online course on how to teach math. Building on this new fan base, she founded a nonprofit organization at Stanford called youcubed to train teachers, conduct research and spread her gospel. Boaler says a half million teachers now visit youcubed’s website each month.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Boaler also saw math as a lever to promote social justice. She lamented that too many low-income Black and Hispanic children were stuck in discouraging, low-level math classes. She advocated for change. In 2014, San Francisco \u003c/span>\u003ca href=\"https://sanfrancisco.granicus.com/player/clip/19433?view_id=47&redirect=true\">\u003cspan style=\"font-weight: 400\">heeded that call\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">, mixing different achievement levels in middle school classrooms and delaying algebra until ninth grade. Parents, especially in the city’s large Asian community, protested that delaying algebra was holding their children back. Without starting algebra in middle school, it was difficult to progress to high school calculus, an important course for college applications. Parents blamed Boaler, who applauded San Francisco for \u003c/span>\u003ca href=\"https://hechingerreport.org/opinion-how-one-city-got-math-right/\">\u003cspan style=\"font-weight: 400\">getting math right\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. Ten years later, the city is slated to \u003c/span>\u003ca href=\"https://www.sfusd.edu/about-sfusd/sfusd-news/press-releases/2024-02-14-sfusd-offer-algebra-1-8th-grade-beginning-2024-25-school-year#:~:text=San%20Francisco%20(February%2014%2C%202024,at%20its%20regular%20meeting%20Tuesday.\">\u003cspan style=\"font-weight: 400\">reinstate algebra for eighth graders\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> this fall. Boaler denies any involvement in the unpopular San Francisco reforms.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Before that math experiment unraveled in San Francisco, California education policymakers tapped Boaler to be one of the lead writers of a new math framework, which would guide math instruction throughout the state. The first draft discouraged tracking children into separate math classes by achievement levels, and proposed delaying algebra until high school. It emphasized “social justice” and suggested that students could take data science instead of advanced algebra in high school. Traditional math proponents worried that the document would water down math instruction in California, hinder advanced students and make it harder to pursue STEM careers. And they were concerned that California’s proposed reforms could spread across the nation. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">In the battle to quash the framework, critics attacked Boaler for trying to institute “\u003c/span>\u003ca href=\"https://blog.independent.org/2023/07/10/californias-flawed-k-12-math-framework/\">\u003cspan style=\"font-weight: 400\">woke\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">” mathematics. The battle became personal, with some criticizing her \u003c/span>\u003ca href=\"https://www.oxnardsd.org/site/default.aspx?PageType=3&ModuleInstanceID=16044&ViewID=DEDCCD34-7C24-4AF2-812A-33C0075398BC&RenderLoc=0&FlexDataID=25705&PageID=10939&Tag=&Comments=true\">\u003cspan style=\"font-weight: 400\">$5,000-an-hour\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> consulting and speaking fees at public schools while sending her own children to private school. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Critics also dug into the weeds of the framework document, which is how this also became a research story. A Stanford mathematics professor catalogued a list of what he saw as \u003c/span>\u003ca href=\"https://sites.google.com/view/publiccommentsonthecmf/\">\u003cspan style=\"font-weight: 400\">research misrepresentations\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. Those citations, together with additional characterizations of research findings throughout Boaler’s writings, eventually grew into the anonymous complaint that’s now at Stanford.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">By the time the most recent complaint against Boaler was lodged, the framework had already been revised in substantial ways. Boaler’s critics had arguably won their main policy battles. College-bound students still need the traditional course sequence and cannot substitute data science for advanced algebra. California’s middle schools will continue to have the option to track children into separate classes and start algebra in eighth grade. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">But the attacks on Boaler continue. In addition to seeking sanctions from Stanford, her anonymous critics have asked academic journals to pull down her papers, according to Boaler. They’ve written to conference organizers to stop Boaler from speaking and, she says, they’ve told her funders to stop giving money to her. At least one, the Valhalla Foundation, the family foundation of billionaire Scott Cook (co-founder of the software giant Intuit), stopped funding youcubed in 2024. In 2022 and 2023, it gave Boaler’s organization more than $560,000. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Boaler sees the continued salvos against her as part of the larger right-wing attack on diversity, equity and inclusion, or DEI. She also sees a misogynistic pattern of taking down women who have power in education, such as Claudine Gay. “You’re basically hung, drawn and quartered by the court of Twitter,” she said.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">From my perch as a journalist who covers education research, I see that Boaler has a tendency to \u003c/span>\u003ca href=\"http://www.danielwillingham.com/daniel-willingham-science-and-education-blog/march-13th-2019\">\u003cspan style=\"font-weight: 400\">overstate the implications\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> of a narrow study. Sometimes she cites a theory that’s been written about in an academic journal but hasn’t been proven and labels it research. While technically true – most academic writing falls under the broad category of research – that’s not the same as evidence from a well-designed classroom experiment. And she tends not to factor in evidence that runs counter to her views or adjust her views as new studies arise. Some of her numerical claims seem grandiose. For example, she says one of her 18-lesson summer courses raised achievement by \u003c/span>\u003ca href=\"https://www.youcubed.org/pd/\">\u003cspan style=\"font-weight: 400\">2.8 years\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“People have raised questions for a long time about the rigor and the care in which Jo makes claims related to both her own research and others,” said Jon Star, a professor of math education at Harvard Graduate School of Education. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">But Star says many other education researchers have done exactly the same, and the “liberties” Boaler takes are common in the field. “That’s not to suggest that taking these liberties is okay,” Star said, “but she is being called out for it.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Boaler is getting more scrutiny than her colleagues, he said, because she’s influential, has a large following of devoted teachers and has been involved in policy changes at schools. Many other scholars of math education share Boaler’s views. But Boaler has become the public face of nontraditional teaching ideas in math. And in today’s polarized political climate, that’s a dangerous public face to be.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">The citation controversy reflects bigger issues with the state of education research. It’s often not as precise as the hard sciences or even social sciences like economics. Academic experts are prone to make wide, sweeping statements. And there are too few studies in real classrooms or randomized controlled trials that could settle some of the big debates. Star argues that \u003c/span>\u003ca href=\"https://pubs.nctm.org/view/journals/jrme/49/1/article-p98.xml\">\u003cspan style=\"font-weight: 400\">more replication studies\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> could improve the quality of evidence for math instruction. We can’t know which teaching methods are most effective unless the method can be reproduced in different settings with different students.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">It’s also possible that more research may never settle these big math debates and we may continue to generate conflicting evidence. There’s the real possibility that traditional methods could be more effective for short-term achievement gains, while nontraditional methods might attract more students to the subject, and potentially lead to more creative problem solvers in the future. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Even if \u003c/span>\u003ca href=\"https://notepad.michaelpershan.com/youcubed-is-more-than-just-sloppy-about-research/\">\u003cspan style=\"font-weight: 400\">Boaler is loose\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> with the details of research studies, she could still be right about the big picture. Maybe advanced students would be better off slowing down on the current racetrack to calculus to learn math with more depth and breadth. Her fun, hands-on approach to math might spark just enough motivation to inspire more kids to do their homework. Might we trade off a bit of short-term math achievement for a greater good of a numerate, civic society?\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">In her new book, “\u003c/span>\u003ca href=\"https://www.harpercollins.com/products/math-ish-jo-boaler?variant=41226038083618\">\u003cspan style=\"font-weight: 400\">MATH-\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">ish\u003c/span>\u003c/i>\u003c/a>\u003cspan style=\"font-weight: 400\">,” Boaler is doubling down on her approach to math with a title that seems to encourage inexactitude. She argues that approaching a problem in a “math-ish” way gives students the freedom to take a guess and make mistakes, to step back and think rather than jumping to numerical calculations. Boaler says she’s hearing from teachers that “ish” is far more fun than making estimates.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“I’m hoping this book is going to be my salvation,” she said, “that I have something exciting to do and focus on and not focus on the thousands of abusive messages I’m getting.”\u003c/span>\u003c/p>\n\u003cp>\u003c/p>\u003c/div>","attributes":{"named":{},"numeric":[]}},{"type":"component","content":"","name":"ad","attributes":{"named":{"label":"floatright"},"numeric":["floatright"]}},{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003c/p>\n\u003cp>\u003ci>\u003cspan style=\"font-weight: 400\">This story about \u003c/span>\u003c/i>\u003ca href=\"https://hechingerreport.org/proof-points-stanfords-jo-boaler-book-math-ish-critics/\">\u003ci>\u003cspan style=\"font-weight: 400\">Jo Boaler\u003c/span>\u003c/i>\u003c/a>\u003ci>\u003cspan style=\"font-weight: 400\"> was written by Jill Barshay and produced by \u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">The Hechinger Report\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">, a nonprofit, independent news organization focused on inequality and innovation in education. Sign up for the \u003c/span>\u003c/i>\u003ca href=\"https://hechingerreport.org/proofpoints/\">\u003ci>\u003cspan style=\"font-weight: 400\">Proof Points newsletter\u003c/span>\u003c/i>\u003c/a>\u003ci>\u003cspan style=\"font-weight: 400\">.\u003c/span>\u003c/i>\u003c/p>\n\n\u003c/div>\u003c/p>","attributes":{"named":{},"numeric":[]}}],"link":"/mindshift/63615/stanfords-jo-boaler-talks-about-her-new-book-math-ish-and-takes-on-her-critics","authors":["byline_mindshift_63615"],"categories":["mindshift_21504"],"tags":["mindshift_21341","mindshift_20943","mindshift_392","mindshift_20893","mindshift_20841"],"featImg":"mindshift_63616","label":"mindshift"},"mindshift_62436":{"type":"posts","id":"mindshift_62436","meta":{"index":"posts_1716263798","site":"mindshift","id":"62436","score":null,"sort":[1695722443000]},"guestAuthors":[],"slug":"how-listening-to-students-stories-can-improve-math-class","title":"How Listening to Students’ Stories Can Improve Math Class","publishDate":1695722443,"format":"standard","headTitle":"How Listening to Students’ Stories Can Improve Math Class | KQED","labelTerm":{"term":21942,"site":"mindshift"},"content":"\u003cp>\u003ca href=\"#episode-transcript\">\u003cem>View the full episode transcript\u003c/em>\u003c/a>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Walking into her sophomore year math class, Taylor Paris was nervous. She’d had a rocky relationship with the subject ever since long division showed up in elementary school. “I knew I didn’t understand math concepts very well. I knew that it was something that took me a longer time (than classmates),” she recalled.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">So she was pleasantly surprised when one of the first assignments from teacher Sarah Strong required no calculating. Instead, Strong asked the class to write a letter to math – as if it were a person. These \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/60108/using-dear-math-letters-to-overcome-dread-in-math-class\">\u003cspan style=\"font-weight: 400\">“Dear Math” letters\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> are a tool that Strong developed as a way to understand students’ relationship to math, which researchers call \u003c/span>\u003ca href=\"https://journals.library.columbia.edu/index.php/jmetc/article/view/9187/4897\">\u003cspan style=\"font-weight: 400\">mathematical identity\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. What Strong learns from these letters informs how she teaches individual students and whole classes throughout the year. Often that means working to disrupt the negative beliefs that students hold about their math abilities, which tend to revolve around comparisons to classmates, like “fast” vs. “slow” or “math person” vs. “not a math person.”\u003c/span>\u003cspan style=\"font-weight: 400\">\u003cbr>\n\u003c/span>\u003cspan style=\"font-weight: 400\">\u003cbr>\n\u003c/span>\u003cspan style=\"font-weight: 400\">Strong models the Dear Math activity by reading her own letter to math. Then she gives students prompts, such as:\u003c/span>\u003c/p>\n\u003cul>\n\u003cli style=\"font-weight: 400\">\u003cspan style=\"font-weight: 400\">What is one of your greatest mathematical strengths?\u003c/span>\u003c/li>\n\u003cli style=\"font-weight: 400\">\u003cspan style=\"font-weight: 400\">How do you plan to engage with math in the future?\u003c/span>\u003c/li>\n\u003cli style=\"font-weight: 400\">\u003cspan style=\"font-weight: 400\">What would you like more of in math classrooms?\u003c/span>\u003c/li>\n\u003c/ul>\n\u003cp>\u003cspan style=\"font-weight: 400\">Paris, who is now 20, was excited to apply her writing skills in math, but also to unpack some of her deeply rooted emotions about math. “I was finally able to write all of the things that made me sad and things that made me mad, like everything into one letter, addressing math directly,” she said. Here’s what she wrote in 10th grade: \u003c/span>\u003c/p>\n\u003cp style=\"padding-left: 40px\">\u003ci>\u003cspan style=\"font-weight: 400\">Dear Math, \u003c/span>\u003c/i>\u003ci>\u003cspan style=\"font-weight: 400\">Oh, do I have some things to say to you. You’ve followed me through every school year, caused me the worst headaches, and given me numerous counts of anxiety just thinking about you … The memories of my seventh grade math teacher telling me ‘maybe you’re just not a math person’ still ringing in my head and the constant Bs and Cs are still imprinted in my mind. You’ve been a never ending challenge and struggle, and it’s always been hard to understand you. No matter how many times my friends and teachers explain you, I never grasp you completely.\u003c/span>\u003c/i>\u003c/p>\n\u003cp>[ad fullwidth]\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">For Paris, having a teacher acknowledge emotions in math class was \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/54980/why-teachers-want-math-with-more-human-ties\">\u003cspan style=\"font-weight: 400\">humanizing\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. “She recognized my experience as a part of this really big experience that so many other people have. And that was really validating,” Paris said.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Strong devotes a few hours to reading the letters, making notes about broad patterns and individual details. “It’s the beginning of an ongoing story between you and the students and their math experience for that semester or year, and it’s really important to start by listening to them well,” she said.\u003c/span>\u003c/p>\n\u003ch2>\u003cb>Hierarchy in math education\u003c/b>\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400\">Strong teaches at \u003c/span>\u003ca href=\"https://www.hightechhigh.org/about/\">\u003cspan style=\"font-weight: 400\">High Tech High\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> and its Graduate School of Education in San Diego. She developed the Dear Math routine almost a decade ago, and she published a book about it, \u003c/span>\u003ca href=\"https://www.10publications.com/dear-math\">\u003ci>\u003cspan style=\"font-weight: 400\">Dear Math: Why Kids Hate Math And What Teachers Can Do About It\u003c/span>\u003c/i>\u003c/a>\u003cspan style=\"font-weight: 400\">, co-authored by her former\u003c/span> \u003cspan style=\"font-weight: 400\">student Gigi Butterfield. In it, the teacher and former student reflect on the themes across hundreds of letters. One pervasive theme is hierarchy.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“Kids as young as kindergarten and first grade are defining themselves as good at math or not good at math,” said \u003c/span>\u003ca href=\"https://twitter.com/amynoelleparks\">\u003cspan style=\"font-weight: 400\">Amy Parks\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">, an elementary math education researcher at Michigan State University. Much of that definition comes from how they rank among classmates – from timed tests, to ‘high’ and ‘low’ groups, to subtle cues in teachers’ language. “I’ve been in classrooms where teachers have had kids line up by how many questions they answered or how many things they got right,” Parks said. “These hierarchies get reinforced so often and in so many different ways it’s almost overwhelming.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">For many kids, the comparisons add up to a negative self-perception around math. And by the time they reach high school, that mathematical identity can feel immutable. But math class doesn’t have to be this way. “Teachers and parents can affect the way kids think about these things,” said \u003c/span>\u003ca href=\"https://mathematizing4all.com/about-the-author/\">\u003cspan style=\"font-weight: 400\">Rachel Lambert\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">, a professor and researcher at University of California, Santa Barbara.\u003c/span>\u003cspan style=\"font-weight: 400\">\u003cbr>\n\u003c/span>\u003cspan style=\"font-weight: 400\">\u003cbr>\n\u003c/span>\u003cspan style=\"font-weight: 400\">There’s a stubborn cultural \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/54389/3-ways-to-shape-math-into-a-positive-experience\">\u003cspan style=\"font-weight: 400\">myth that some of us are “math people” and some of us aren’t\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. This idea gets repeated explicitly all the time, and often \u003c/span>\u003ca href=\"https://www.science.org/doi/10.1126/science.aah6524\">\u003cspan style=\"font-weight: 400\">implicitly with gendered and racialized associations\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. But neuroscience shows that \u003c/span>\u003ca href=\"https://www.youcubed.org/resources/brain-science/\">\u003cspan style=\"font-weight: 400\">everyone is capable of learning math\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">, and Lambert said \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/57997/how-to-build-students-math-confidence-with-culturally-sustaining-teaching-practices\">\u003cspan style=\"font-weight: 400\">it matters that kids hear that\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. “Students connect subjects to teachers in a pretty intense way that I think as adults we often forget. So if they feel their math teacher believes in them as a human being and believes in their competence in mathematics, that can make a huge difference,” she said.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">In Strong’s classroom, listening to students’ stories is the first step toward disrupting those hierarchies. She also looks for ways to highlight students’ mathematical thinking on a daily basis. One way she does this is by having multiple students write their problem-solving ideas on the whiteboard and asking other students to comment on what they like about the strategies they see. Another routine is an exit ticket that asks students to share something they learned from a classmate that day. She might share the details the next day with a student who was mentioned or with the whole class if there’s a bigger lesson in it.\u003c/span>\u003c/p>\n\u003ch2>\u003cb>Math is for everyone\u003c/b>\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400\">Isabela Avila, another of Strong’s former students, said these kinds of practices created a sense of community: “It was never even like a question of did you get it right or wrong. It just seemed like we were always just all learning together as a class.” She had Strong as a teacher twice and wrote Dear Math letters both times. In her letter as a sophomore, her self-doubts showed up in the first sentence:\u003c/span>\u003c/p>\n\u003cp style=\"padding-left: 40px\">\u003ci>\u003cspan style=\"font-weight: 400\">Dear Math, I really like you, but you don’t come naturally to me. I have to work extra hard to understand and fully conceptualize what you have to offer.\u003c/span>\u003c/i>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">In her letter as a senior, Avila wrote about her math growth over the prior two years:\u003c/span>\u003c/p>\n\u003cp style=\"padding-left: 40px\">\u003ci>\u003cspan style=\"font-weight: 400\">I developed a sense of patience and open mindedness for the first time ever. … I know this will help me a lot in college and beyond, and I look forward to using it in the future.\u003c/span>\u003c/i>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">When Avila got to the highly competitive environment of Johns Hopkins University, however, the usual order of things returned. “I really struggled a lot with comparing myself, especially in math,” she said, discussing her freshman year. “And I just found that to be super, super counterproductive for both my learning and my self esteem.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Strong said her own math story has had a lot of highs and lows, too. Though she can’t protect students from the ways math is taught and talked about beyond her classroom, her hope is that before they leave high school, “they start to see themselves as mathematicians in new ways and that they start to see their peers as mathematically brilliant in new ways.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">For Avila, the persistence she developed in high school did pay off in the long, emotionally tough hours of college calculus. “I feel like how you think about yourself and how fast you are to get back up and keep trying is really, truly so much more important than if you can actually do the math,” she said.\u003c/span>\u003c/p>\n\u003ch2>Fast and slow\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400\">Paris, Strong’s former student who liked expressing her emotions in a Dear Math letter, still remembers the heart-racing stress that accompanied \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/61712/do-math-drills-help-children-learn\">\u003cspan style=\"font-weight: 400\">timed multiplication tests\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> in third grade. In Strong’s classroom, she said, there was never a timer. When Paris needed extra support, Strong brought out old algebra textbooks to reinforce foundational concepts. She designed projects where Paris could make connections between math and art – a subject that she already loved. Most importantly, Strong helped Paris learn how to break down complex problems into smaller steps. “Which is such a simple concept, but it didn’t even cross my mind that I could do that in math,” said Paris. “And that taking my time in math meant that I was being a mathematician.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“Many students have this conception that they’re the only one who’s taking time to understand this concept, that everybody around them has already got it,” said Lambert, the UC Santa Barbara professor. Lambert suggested that teachers can reduce the rush of the pacing calendar by thinking of it not as going slowly but choosing where to invest time. “You can’t do every standard every year with your students. You have to figure out what is worth investment, and then spend more time with those topics so that students feel that they have enough time learning those things,” she said.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">In Strong’s view, this requires shifting away from math instruction that is built around the ideas the teacher wants to get to in a given period. Student-centered instruction requires a lot more listening, she said: “Listening first off to their stories and how they’re showing up to class, and then second off (listening to) the ways that they are thinking of and understanding and making sense of mathematical ideas.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Paris, who had Strong as a teacher for three years, said that time transformed her. She now works at a bridal shop, where she was recently promoted from stylist to sales manager – a role that involves a lot of math. “If I want to teach my stylists how to increase their productivity in their sales, then I need to think like a mathematician and come up with the ways that I can do that,” she explained. In tenth grade, that would have scared her. Not now. “There’s no reason for me to be afraid of math because I’ve proven to myself time and time again that I can do it,” she said.\u003c/span>\u003c/p>\n\u003cp>\u003c!-- iframe plugin v.4.3 wordpress.org/plugins/iframe/ -->\u003cbr>\n\u003ciframe loading=\"lazy\" frameborder=\"0\" height=\"200\" scrolling=\"no\" src=\"https://playlist.megaphone.fm/?e=KQINC8301605465&light=true\" width=\"100%\" class=\"iframe-class\">\u003c/iframe>\u003c/p>\n\u003ch2 id=\"episode-transcript\">Episode transcript\u003c/h2>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> Welcome to MindShift, where we explore the future of learning and how we raise our kids. I’m Kara Newhouse.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir: \u003c/b>\u003cspan style=\"font-weight: 400\">And I’m Nimah Gobir.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">[\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">Music\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">]\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Today we’re talking about math.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir:\u003c/b>\u003cspan style=\"font-weight: 400\"> Because it involves numbers and formulas, we often think of math as straightforward and objective.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> But learning math is actually packed with emotions. I met a high school teacher who starts the year with an unusual assignment. She has her students write a letter to math, describing their feelings about the subject. Here’s that teacher, Sarah Strong.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Sarah Strong: \u003c/b>\u003cspan style=\"font-weight: 400\">A Dear Math letter is a letter that students write to math as if math were personified sitting across the table from them. … And it really helps inform teachers better understand the students stories and experiences that they’re coming to class with so that teachers can better design math experiences for students to thrive and flourish in math class.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> We’ll hear more from Sarah later in the episode. First, here’s part of a Dear Math letter from one of her former students, Taylor Paris.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">[\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">Music\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">]\u003c/span>\u003c/p>\n\u003cp>\u003cb>Taylor Paris: \u003c/b>\u003cspan style=\"font-weight: 400\">[\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">Reading letter\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">] Dear math, Oh, do I have some things to say to you. You’ve followed me throughout every school year, caused me the worst headaches, and given me numerous counts of anxiety just thinking about you … The memories of my seventh grade math teacher telling me, ‘Maybe you’re just not a math person’ still ringing in my head, and the constant Bs and Cs are still imprinted in my mind. You’ve been a never ending challenge and struggle, and it’s always been hard to understand you. No matter how many times my friends and teachers explain you, I never grasp you completely.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> The anxiety and frustration that Taylor described in her letter are familiar feelings for many young people. And by the time students get to high school, it can feel like if they don’t understand math now, they never will.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir:\u003c/b>\u003cspan style=\"font-weight: 400\"> But math doesn’t have to be this way.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> When we get back from the break, we’ll hear more about Dear Math letters and how they help students like Taylor strengthen their mathematical identities.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> Taylor Paris graduated high school a few years ago, but she still remembers the first week of tenth grade math with her teacher Sarah Strong. That’s when students wrote letters to math, as if it were a person.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Taylor Paris:\u003c/b> \u003cspan style=\"font-weight: 400\">And I remember being so excited because basically you’re writing in math, and that’s never the case.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Interdisciplinary learning allows students to think about a subject from new perspectives. For Taylor, writing the Dear Math letter gave her a chance to reflect on how her early school years shaped her relationship to math.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Taylor Paris: \u003c/b>\u003cspan style=\"font-weight: 400\">I remember, my first, like, scariness of math was long division, because it was like so abstract to me, and everyone around me understood it and was just like, ‘Yeah, well that’s just the way it is and that’s totally fine.’\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Writing about those memories was cathartic. It also helped Taylor feel connected to her teacher.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Taylor Paris:\u003c/b> \u003cspan style=\"font-weight: 400\">I have never had a math teacher talk about emotions behind math ever. Like, truly ever … She recognized my experience as a part of this really big experience that so many other people have. And that was really validating.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Her teacher, Sarah Strong, also made it clear that it was okay for those feelings to surface throughout the year. Which made it possible for Taylor to focus on actually learning math.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Taylor Paris: \u003c/b>\u003cspan style=\"font-weight: 400\">She did a great job at making me feel like I could take a really complex problem and break it down to the bare bones of it, which is such a simple concept. But it didn’t even cross my mind that I could do that in math and that taking my time in math meant that I was being a mathematician. And that’s what mathematicians did, was take their time and work on problems slowly to really understand every aspect.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">When I met Taylor, she had just been promoted from a stylist to a sales manager at a bridal shop in San Diego. That’s a fashion job that involves a lot of math.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Taylor Paris: \u003c/b>\u003cspan style=\"font-weight: 400\">So stylists are responsible for obviously, you know, the customer service side of things, but on the sales side, there is a certain goal that you need to meet or would ideally meet day to day and kind of week to day, month to day. …\u003c/span> \u003cspan style=\"font-weight: 400\">And so when you think about it, sales is like one big math problem every day because there’s a question, there’s an answer that you have to get to, and then there’s variables that go into, you know, the answer to your problem, essentially.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> Taylor is 20. Not that long ago, doing a math-related job would have been unimaginable to her.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Taylor Paris:\u003c/b> \u003cspan style=\"font-weight: 400\">If you told sophomore year Taylor that I would be doing something that was directly correlated with math and numbers all the time, I would be terrified and probably laugh.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Taylor had Sarah Strong as a math teacher from 10th grade through 12th grade. She said that those years totally changed her view of math.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Taylor Paris: \u003c/b>\u003cspan style=\"font-weight: 400\">And so while I may have been scared to take a sales manager position at, you know, in my sophomore year, it makes a ton of sense for me now because what I do is help people find their wedding dress. And who would have thought that math was in finding a wedding dress?\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">[\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">Music\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">]\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Taylor now sees herself as a doer of math. This is what’s called mathematical identity.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir:\u003c/b>\u003cspan style=\"font-weight: 400\"> We did an episode featuring Chris Emdin, who talked about students’ STEM identities. Mathematical identity is one form of a STEM identity.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Sarah Strong: \u003c/b>\u003cspan style=\"font-weight: 400\">Mathematical identity is a way that students see themselves as a mathematician, and therefore it connects to the ways that they enter into mathematical spaces and connect with other mathematicians around them.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">That’s teacher Sarah Strong again. She created the Dear Math activity during a bigger project where students were exploring their mathematical identities. They were using different types of math as metaphors for their experiences. And Sarah wanted to add a writing component to that project.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Sarah Strong:\u003c/b> \u003cspan style=\"font-weight: 400\">And one of my colleagues shared with me the idea of writing letters to a thing like books or basketball, and how she’d heard of that practice. And she thought I could do Dear Math letters, and I thought that was an amazing idea. So I ran with it.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">The letters were powerful. And Sarah realized that having students write them at the beginning of the year could help her teach each class better. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Here’s how she does it now. She introduces the assignment during the first week of school. She reads her own Dear Math letter as a model, because most students aren’t used to writing in math class. Hearing her letter also lets them know that even though she teaches math, it hasn’t always been easy for her.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir: \u003c/b>\u003cspan style=\"font-weight: 400\">After reading her letter, Sarah gives her students prompts for writing their own. Questions like…\u003c/span>\u003c/p>\n\u003cul>\n\u003cli style=\"font-weight: 400\">\u003cspan style=\"font-weight: 400\">What is one of your greatest mathematical strengths?\u003c/span>\u003c/li>\n\u003cli style=\"font-weight: 400\">\u003cspan style=\"font-weight: 400\">How do you plan to engage with math in the future?\u003c/span>\u003c/li>\n\u003cli style=\"font-weight: 400\">\u003cspan style=\"font-weight: 400\">What would you like more of in math classrooms?\u003c/span>\u003c/li>\n\u003c/ul>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">They spend 15 to 30 minutes writing in class. Anyone who wants to write more can finish at home.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir: \u003c/b>\u003cspan style=\"font-weight: 400\">Then Sarah reads the letters on her own. She says this is the most important step.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Sarah Strong: \u003c/b>\u003cspan style=\"font-weight: 400\">‘Cause it’s the beginning of an ongoing story between you and the students and their math experience for that semester or year, and it’s really important to start by listening to them well.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">She first looks for broad patterns across the class.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Sarah Strong: \u003c/b>\u003cspan style=\"font-weight: 400\">If I’ve got a disproportionate amount of students that hate math, don’t think they’re mathematicians, that I have to be really intentional about my class design, where I am regularly noticing and calling out their mathematical strengths and giving them opportunities to see themselves as mathematicians and see each other as mathematicians.\u003c/span> \u003cspan style=\"font-weight: 400\">Or do I have a lot of students who, who feel like ‘I am a really strong mathematician. Ever since I was young, I get all the right answers. I’m really fast.’ Then I can note that that’s a trend in the class and be thinking how I can continue to push those students while also broadening their understanding of how they are mathematical and how important it is to also listen to other students’ ways of being mathematical.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">She also reads the letters for individual details about things students love and things that trip them up. She might make a few notes and …\u003c/span>\u003c/p>\n\u003cp>\u003cb>Sarah Strong: \u003c/b>\u003cspan style=\"font-weight: 400\">Check in with students like, ‘Gosh, I remember you said that you had a really hard time with the idea of percents and like whenever percents come up, you panic. Well, tomorrow we’re going to need some percents in our work with exponential functions. And so I wanted to make sure that you knew that I believe that you’ve got this. If you want to do a little practice beforehand, we can do that because I want you to feel confident. I don’t want some story from sixth grade impacting your confidence in what we’re working on right now.’\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Sarah said that getting to know students was always important to her. Even before she created the Dear Math assignment.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Sarah Strong:\u003c/b> \u003cspan style=\"font-weight: 400\">I would often try to connect with them in a variety of ways and I would hear their comments here and there that were both positive and negative. And I always tried to be a really good listener and understand my students’ feelings.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">But she wasn’t always getting a full picture.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Sarah Strong:\u003c/b> \u003cspan style=\"font-weight: 400\">Sometimes I think I was being a little delusional before I got to hear their whole stories because I would think, ‘Oh, they had really negative experiences. They don’t like math, but now that they’re in my class, everything’s going to be fine.’\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">The letters helped her take off her rose-colored glasses.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Sarah Strong:\u003c/b> \u003cspan style=\"font-weight: 400\">It wasn’t until I started having them write Dear Math letters that I got to hear more complete stories and gain a bigger picture for their previous experience and how those experiences were informing the ways they were showing up to my class.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">That knowledge enables her to help students grow as math learners throughout the year.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Sarah Strong:\u003c/b> \u003cspan style=\"font-weight: 400\">My biggest hope is that they start to see themselves as mathematicians in new ways and that they start to see their peers as mathematically brilliant in new ways.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">[\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">Music\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">]\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Nimah, it would be great if writing a Dear Math letter helped all students see themselves as capable of doing math – the way it did for Taylor Paris.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir: \u003c/b>\u003cspan style=\"font-weight: 400\">It would. But of course not every student’s math story is linear.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">No… Some math stories go up and down over time, like a periodic function. \u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir: \u003c/b>\u003cspan style=\"font-weight: 400\">Hey, nice math analogy! \u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> I got that one from Sarah Strong. She described her own math story that way. It also applies to another of her former students, Isabela Avila. Here’s the start of a Dear Math letter Isabela wrote in tenth grade.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Isabela Avila: \u003c/b>\u003cspan style=\"font-weight: 400\">[\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">Reading letter\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">] Dear Math, I really like you, but you don’t come naturally to me. I have to work extra hard to understand and fully conceptualize what you have to offer.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">In previous math classes, Isabela felt pressure to always be fast and have the right answer. But she told me that expectation wasn’t there in Sarah Strong’s class.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Isabela Avila: \u003c/b>\u003cspan style=\"font-weight: 400\">It was never even like a question of like, did you get it right or wrong? It was just seemed like we were always just all learning together, as a class.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> That sense of togetherness mattered. \u003c/span>\u003c/p>\n\u003cp>\u003cb>Isabela Avila: \u003c/b>\u003cspan style=\"font-weight: 400\">And like, I think that really helped me like number one, like, think highly of myself as like a problem solver and also … be confident in my ideas.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Isabela had Sarah Strong as a teacher twice, and she wrote a Dear Math letter both times. You can hear her increased confidence in the letter she wrote as a senior.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Isabela Avila:\u003c/b> \u003cspan style=\"font-weight: 400\">[\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">Reading letter\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">] The most mathematical growth I feel I have ever experienced was during my junior year. I felt confident in my algebra skills for the first time ever. … My mindset also shifted drastically. I developed a sense of patience and open mindedness for the first time ever. … I know this will help me a lot in college and beyond, and I look forward to using it in the future. Sincerely, Isabela Avila.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">When Isabela actually got to college, the transition was rocky. She’s a pre-med major at Johns Hopkins University in Baltimore.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Isabela Avila:\u003c/b> \u003cspan style=\"font-weight: 400\">Our like math department is known for being like notoriously hard.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> All around her, Isabela saw classmates who had come from elite high schools and seemed to understand calculus more easily than she did.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Isabela Avila: \u003c/b>\u003cspan style=\"font-weight: 400\">I really struggled a lot with like comparing myself, especially in math. And I just found that to be super, super counter-productive for both my learning and like my self esteem.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Sometimes she would break down crying while doing homework, which could take eight hours to complete. In class, she didn’t participate as much as she had hoped to.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Isabela Avila: \u003c/b>\u003cspan style=\"font-weight: 400\">I just really didn’t want to sound like I didn’t know what I was talking about or like, not that I don’t belong there, but I don’t know. It was just, everyone around me was so smart. And I know, like, tests don’t define you, but everyone around me, like, even if they were starting in calc one, they, like, got fives on like the AP calc exams and did exceptionally well.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> Back in high school, Isabela had written in one of her letters that she’d had a lot of highs and lows with math. Freshman year of college was definitely another low.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">When I talked to her during her sophomore year at Johns Hopkins, being a premed major was still very stressful. Something that helped, though, was making friends who didn’t talk about grades.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Isabela Avila: \u003c/b>\u003cspan style=\"font-weight: 400\">We don’t talk about, like, what score we got. We don’t talk about how we’re doing in the class. We don’t talk about — honestly we don’t talk that much about like our actual like school. \u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">And she said the persistence that she developed in high school did help her get through calculus.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Isabela Avila:\u003c/b> \u003cspan style=\"font-weight: 400\">Especially in math here in college, like, I feel like how you think about yourself and like how fast you are to like, get back up and keep trying is really, truly so much more important than if you can actually do the math.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">[\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">Music\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">]\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir:\u003c/b>\u003cspan style=\"font-weight: 400\"> Kara, the way Isabela compared herself to her calculus classmates isn’t unique to being at a university full of high achievers.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> That’s right. Sarah Strong said those comparisons have been pervasive in students’ Dear Math letters. And according to experts, this kind of thinking starts early.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir:\u003c/b>\u003cspan style=\"font-weight: 400\"> Researchers say even kindergarteners start to notice their spot in the pecking order of math ability.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">It often starts with those one-minute math quizzes that so many of us remember.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">[\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">Sound of pencils scribbling and slamming down\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">]\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir: \u003c/b>\u003cspan style=\"font-weight: 400\">Students might hear their classmates furiously scribbling answers and slamming their pencils down when they finish. They equate that with being “good” at math.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">And there are lots of other ways in school that students are ranked and sorted. In younger grades, teachers often group students by ability when they’re practicing math. In upper grades, students may get tracked into ‘regular’ and ‘advanced’ classes. \u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir: \u003c/b>\u003cspan style=\"font-weight: 400\">Some teachers will even publicly display kids’ progress in certain math skills. This can look like a bulletin board that uses paper ice cream scoops to represent how many multiplication facts each student knows.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">One researcher I talked to had a lot of ideas about how to disrupt hierarchies in math education. This is Rachel Lambert, from University of California, Santa Barbara.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Rachel Lambert: \u003c/b>\u003cspan style=\"font-weight: 400\">I think if there’s one one thing I’d like to communicate, it’s that teachers and parents can affect the way kids think about these things.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Rachel shared five tips that teachers can use to help kids stop comparing themselves to others in math. The first tip is to change the narrative about who can do math.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Rachel Lambert: \u003c/b>\u003cspan style=\"font-weight: 400\">Students would tell me how much it mattered to them to hear their teacher say, ‘There is no difference in who can be good at math.’ Like very clear messages around race and gender and the clear message that there is no one group of people that is better in math than other people, those students told me that was helpful to them.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> Changing the narrative isn’t just about what we say to kids. It’s also about how teachers talk to each other. And how they group students in class.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Rachel Lambert: \u003c/b>\u003cspan style=\"font-weight: 400\">We might think as teachers – and I was a teacher for over 10 years – that kids don’t know that we might be calling them low kids or high kids when we’re having lunch with other teachers. … But they know, they always know and they know how they’re being grouped and classified and seen. … If we decide that kids are going to do well in mathematics, we do a lot of things in our teaching to set them up for success day after day. If we think kids will fail when we hand them a mathematical task, we’re doing subtle things to set them up for failure every single time we do that. So if we put them in groups that never change, we’re teaching them who they are and we’re also affecting who they become, because we’re only allowing them opportunities to do things quote-unquote at their level. \u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Rachel’s second tip for teachers is to stop focusing on speed. \u003c/span>\u003c/p>\n\u003cp>\u003cb>Rachel Lambert:\u003c/b> \u003cspan style=\"font-weight: 400\">Think of it not as a matter of going slow. Think of it as investing in certain things. So you can’t hit everything on your pacing calendar. You can’t do every standard every year with your students. You have to figure out what is worth investment and what is worth extra time, and then spend more time with those topics so that students feel that they have enough time learning those things.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Her third tip is to normalize mistakes. It can help students learn from each other’s thinking when you have them share their mistakes. Rachel told me about a teacher who did this.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Rachel Lambert: \u003c/b>\u003cspan style=\"font-weight: 400\">She would even put a little heart next to a mistake and she’d be, ‘This was my favorite mistake of the day.’ And she drew a little heart next to it. And the kids would go, ‘awww.’ It’s adorable.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> Tip number four is to give students problems that can be approached from multiple angles.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Rachel Lambert:\u003c/b> \u003cspan style=\"font-weight: 400\">I see that some kids really love to engage in the visual aspect of a problem. Other students like to make, say, an organized list. And that doesn’t mean – there’s no such thing as learning styles; it doesn’t mean that that’s the way they’re going to approach every problem, but it does mean that a problem that draws on multiple ways of engaging can be more rich mathematically and also disrupt ideas of who’s the best at math and who isn’t.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Rachel Lambert’s fifth and final tip is to make supports available to everyone.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Rachel Lambert: \u003c/b>\u003cspan style=\"font-weight: 400\">That is the one of the simplest interventions you can do in math to make it more equitable … And it doesn’t send any negative messages to kids because they are choosing if they want to use a calculator. They are choosing if they want to hear the directions a second time. They are choosing if they use manipulatives.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Making these resources available to everyone takes the teacher’s assumptions out of the equation. And it helps kids develop the skills to recognize what they need to succeed.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">[\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">Music\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">]\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir: \u003c/b>\u003cspan style=\"font-weight: 400\">Kara, there are some people who say math teachers should just focus on content. That activities like writing letters to math are more about self-esteem than learning.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">These goals don’t have to be separate. Direct instruction and problem-solving practice are essential parts of math education. But like we said at the beginning, doing math involves emotions. Although we’ve heard a lot about the frustrating parts of math, it can also evoke positive emotions.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir: \u003c/b>\u003cspan style=\"font-weight: 400\">Kids who are absorbed in math problem-solving often express wonder and excitement.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Listening to young people’s stories and honoring all of these emotions allows students to be more human in math class. And that doesn’t just make them \u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">believe \u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">in their math abilities, it empowers them to learn math and to do math.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">[\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">Music\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">]\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">This episode would not have been possible without Sarah Strong. To learn more about Dear Math letters, you can read the book she wrote with her former student, Gigi Butterfield. The book is called, \u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">Dear Math: Why Kids Hate Math and What Teachers Can Do About It.\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\"> \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Thanks also to Taylor Paris, Isabela Avila, Rachel Lambert and Amy Parks.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">The MindShift team includes Nimah Gobir, Ki Sung, Marlena Jackson-Retondo and me, Kara Newhouse.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Our editor is Chris Hambrick. Chris Hoff engineered this episode.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Additional support from Jen Chien, Katie Sprenger, Cesar Saldaña and Holly Kernan.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">MindShift is supported in part by the generosity of the William & Flora Hewlett Foundation and members of KQED.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir:\u003c/b>\u003cspan style=\"font-weight: 400\"> If you love MindShift, and enjoyed this episode, please share it with a friend. We really appreciate it. You can also read more or subscribe to our newsletter at \u003c/span>\u003ca href=\"http://kqed.org/mindshift\">\u003cspan style=\"font-weight: 400\">kqed.org/mindshift\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">.\u003c/span>\u003c/p>\n\u003cp>[ad floatright]\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> Thank you for listening to Season 8 of the MindShift podcast. That’s it for these deep dive episodes. We’re taking a little break, but we’ll be back soon with new episodes featuring conversations about big ideas in education. Be sure to follow the show or subscribe so you don’t miss a thing.\u003c/span>\u003c/p>\n\n","blocks":[],"excerpt":"In this math class, students write letters about their math history. The process can change their future.","status":"publish","parent":0,"modified":1726872322,"stats":{"hasAudio":true,"hasVideo":false,"hasChartOrMap":false,"iframeSrcs":[],"hasGoogleForm":false,"hasGallery":false,"hasHearkenModule":false,"hasPolis":false,"paragraphCount":135,"wordCount":5839},"headData":{"title":"How Listening to Students’ Stories Can Improve Math Class | KQED","description":"In this math class, students write letters about their math history. The process can change their future.","ogTitle":"","ogDescription":"","ogImgId":"","twTitle":"","twDescription":"","twImgId":"","socialDescription":"In this math class, students write letters about their math history. The process can change their future.","schema":{"@context":"http://schema.org","@type":"Article","headline":"How Listening to Students’ Stories Can Improve Math Class","datePublished":"2023-09-26T03:00:43-07:00","dateModified":"2024-09-20T15:45:22-07:00","image":"https://cdn.kqed.org/wp-content/uploads/2020/02/KQED-OG-Image@1x.png"}},"audioUrl":"https://www.podtrac.com/pts/redirect.mp3/chrt.fm/track/G6C7C3/traffic.megaphone.fm/KQINC8301605465.mp3?updated=1695679399","sticky":false,"excludeFromSiteSearch":"Include","articleAge":"0","path":"/mindshift/62436/how-listening-to-students-stories-can-improve-math-class","audioTrackLength":null,"parsedContent":[{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003cp>\u003ca href=\"#episode-transcript\">\u003cem>View the full episode transcript\u003c/em>\u003c/a>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Walking into her sophomore year math class, Taylor Paris was nervous. She’d had a rocky relationship with the subject ever since long division showed up in elementary school. “I knew I didn’t understand math concepts very well. I knew that it was something that took me a longer time (than classmates),” she recalled.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">So she was pleasantly surprised when one of the first assignments from teacher Sarah Strong required no calculating. Instead, Strong asked the class to write a letter to math – as if it were a person. These \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/60108/using-dear-math-letters-to-overcome-dread-in-math-class\">\u003cspan style=\"font-weight: 400\">“Dear Math” letters\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> are a tool that Strong developed as a way to understand students’ relationship to math, which researchers call \u003c/span>\u003ca href=\"https://journals.library.columbia.edu/index.php/jmetc/article/view/9187/4897\">\u003cspan style=\"font-weight: 400\">mathematical identity\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. What Strong learns from these letters informs how she teaches individual students and whole classes throughout the year. Often that means working to disrupt the negative beliefs that students hold about their math abilities, which tend to revolve around comparisons to classmates, like “fast” vs. “slow” or “math person” vs. “not a math person.”\u003c/span>\u003cspan style=\"font-weight: 400\">\u003cbr>\n\u003c/span>\u003cspan style=\"font-weight: 400\">\u003cbr>\n\u003c/span>\u003cspan style=\"font-weight: 400\">Strong models the Dear Math activity by reading her own letter to math. Then she gives students prompts, such as:\u003c/span>\u003c/p>\n\u003cul>\n\u003cli style=\"font-weight: 400\">\u003cspan style=\"font-weight: 400\">What is one of your greatest mathematical strengths?\u003c/span>\u003c/li>\n\u003cli style=\"font-weight: 400\">\u003cspan style=\"font-weight: 400\">How do you plan to engage with math in the future?\u003c/span>\u003c/li>\n\u003cli style=\"font-weight: 400\">\u003cspan style=\"font-weight: 400\">What would you like more of in math classrooms?\u003c/span>\u003c/li>\n\u003c/ul>\n\u003cp>\u003cspan style=\"font-weight: 400\">Paris, who is now 20, was excited to apply her writing skills in math, but also to unpack some of her deeply rooted emotions about math. “I was finally able to write all of the things that made me sad and things that made me mad, like everything into one letter, addressing math directly,” she said. Here’s what she wrote in 10th grade: \u003c/span>\u003c/p>\n\u003cp style=\"padding-left: 40px\">\u003ci>\u003cspan style=\"font-weight: 400\">Dear Math, \u003c/span>\u003c/i>\u003ci>\u003cspan style=\"font-weight: 400\">Oh, do I have some things to say to you. You’ve followed me through every school year, caused me the worst headaches, and given me numerous counts of anxiety just thinking about you … The memories of my seventh grade math teacher telling me ‘maybe you’re just not a math person’ still ringing in my head and the constant Bs and Cs are still imprinted in my mind. You’ve been a never ending challenge and struggle, and it’s always been hard to understand you. No matter how many times my friends and teachers explain you, I never grasp you completely.\u003c/span>\u003c/i>\u003c/p>\n\u003cp>\u003c/p>\u003c/div>","attributes":{"named":{},"numeric":[]}},{"type":"component","content":"","name":"ad","attributes":{"named":{"label":"fullwidth"},"numeric":["fullwidth"]}},{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">For Paris, having a teacher acknowledge emotions in math class was \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/54980/why-teachers-want-math-with-more-human-ties\">\u003cspan style=\"font-weight: 400\">humanizing\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. “She recognized my experience as a part of this really big experience that so many other people have. And that was really validating,” Paris said.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Strong devotes a few hours to reading the letters, making notes about broad patterns and individual details. “It’s the beginning of an ongoing story between you and the students and their math experience for that semester or year, and it’s really important to start by listening to them well,” she said.\u003c/span>\u003c/p>\n\u003ch2>\u003cb>Hierarchy in math education\u003c/b>\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400\">Strong teaches at \u003c/span>\u003ca href=\"https://www.hightechhigh.org/about/\">\u003cspan style=\"font-weight: 400\">High Tech High\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> and its Graduate School of Education in San Diego. She developed the Dear Math routine almost a decade ago, and she published a book about it, \u003c/span>\u003ca href=\"https://www.10publications.com/dear-math\">\u003ci>\u003cspan style=\"font-weight: 400\">Dear Math: Why Kids Hate Math And What Teachers Can Do About It\u003c/span>\u003c/i>\u003c/a>\u003cspan style=\"font-weight: 400\">, co-authored by her former\u003c/span> \u003cspan style=\"font-weight: 400\">student Gigi Butterfield. In it, the teacher and former student reflect on the themes across hundreds of letters. One pervasive theme is hierarchy.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“Kids as young as kindergarten and first grade are defining themselves as good at math or not good at math,” said \u003c/span>\u003ca href=\"https://twitter.com/amynoelleparks\">\u003cspan style=\"font-weight: 400\">Amy Parks\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">, an elementary math education researcher at Michigan State University. Much of that definition comes from how they rank among classmates – from timed tests, to ‘high’ and ‘low’ groups, to subtle cues in teachers’ language. “I’ve been in classrooms where teachers have had kids line up by how many questions they answered or how many things they got right,” Parks said. “These hierarchies get reinforced so often and in so many different ways it’s almost overwhelming.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">For many kids, the comparisons add up to a negative self-perception around math. And by the time they reach high school, that mathematical identity can feel immutable. But math class doesn’t have to be this way. “Teachers and parents can affect the way kids think about these things,” said \u003c/span>\u003ca href=\"https://mathematizing4all.com/about-the-author/\">\u003cspan style=\"font-weight: 400\">Rachel Lambert\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">, a professor and researcher at University of California, Santa Barbara.\u003c/span>\u003cspan style=\"font-weight: 400\">\u003cbr>\n\u003c/span>\u003cspan style=\"font-weight: 400\">\u003cbr>\n\u003c/span>\u003cspan style=\"font-weight: 400\">There’s a stubborn cultural \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/54389/3-ways-to-shape-math-into-a-positive-experience\">\u003cspan style=\"font-weight: 400\">myth that some of us are “math people” and some of us aren’t\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. This idea gets repeated explicitly all the time, and often \u003c/span>\u003ca href=\"https://www.science.org/doi/10.1126/science.aah6524\">\u003cspan style=\"font-weight: 400\">implicitly with gendered and racialized associations\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. But neuroscience shows that \u003c/span>\u003ca href=\"https://www.youcubed.org/resources/brain-science/\">\u003cspan style=\"font-weight: 400\">everyone is capable of learning math\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">, and Lambert said \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/57997/how-to-build-students-math-confidence-with-culturally-sustaining-teaching-practices\">\u003cspan style=\"font-weight: 400\">it matters that kids hear that\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. “Students connect subjects to teachers in a pretty intense way that I think as adults we often forget. So if they feel their math teacher believes in them as a human being and believes in their competence in mathematics, that can make a huge difference,” she said.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">In Strong’s classroom, listening to students’ stories is the first step toward disrupting those hierarchies. She also looks for ways to highlight students’ mathematical thinking on a daily basis. One way she does this is by having multiple students write their problem-solving ideas on the whiteboard and asking other students to comment on what they like about the strategies they see. Another routine is an exit ticket that asks students to share something they learned from a classmate that day. She might share the details the next day with a student who was mentioned or with the whole class if there’s a bigger lesson in it.\u003c/span>\u003c/p>\n\u003ch2>\u003cb>Math is for everyone\u003c/b>\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400\">Isabela Avila, another of Strong’s former students, said these kinds of practices created a sense of community: “It was never even like a question of did you get it right or wrong. It just seemed like we were always just all learning together as a class.” She had Strong as a teacher twice and wrote Dear Math letters both times. In her letter as a sophomore, her self-doubts showed up in the first sentence:\u003c/span>\u003c/p>\n\u003cp style=\"padding-left: 40px\">\u003ci>\u003cspan style=\"font-weight: 400\">Dear Math, I really like you, but you don’t come naturally to me. I have to work extra hard to understand and fully conceptualize what you have to offer.\u003c/span>\u003c/i>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">In her letter as a senior, Avila wrote about her math growth over the prior two years:\u003c/span>\u003c/p>\n\u003cp style=\"padding-left: 40px\">\u003ci>\u003cspan style=\"font-weight: 400\">I developed a sense of patience and open mindedness for the first time ever. … I know this will help me a lot in college and beyond, and I look forward to using it in the future.\u003c/span>\u003c/i>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">When Avila got to the highly competitive environment of Johns Hopkins University, however, the usual order of things returned. “I really struggled a lot with comparing myself, especially in math,” she said, discussing her freshman year. “And I just found that to be super, super counterproductive for both my learning and my self esteem.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Strong said her own math story has had a lot of highs and lows, too. Though she can’t protect students from the ways math is taught and talked about beyond her classroom, her hope is that before they leave high school, “they start to see themselves as mathematicians in new ways and that they start to see their peers as mathematically brilliant in new ways.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">For Avila, the persistence she developed in high school did pay off in the long, emotionally tough hours of college calculus. “I feel like how you think about yourself and how fast you are to get back up and keep trying is really, truly so much more important than if you can actually do the math,” she said.\u003c/span>\u003c/p>\n\u003ch2>Fast and slow\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400\">Paris, Strong’s former student who liked expressing her emotions in a Dear Math letter, still remembers the heart-racing stress that accompanied \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/61712/do-math-drills-help-children-learn\">\u003cspan style=\"font-weight: 400\">timed multiplication tests\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> in third grade. In Strong’s classroom, she said, there was never a timer. When Paris needed extra support, Strong brought out old algebra textbooks to reinforce foundational concepts. She designed projects where Paris could make connections between math and art – a subject that she already loved. Most importantly, Strong helped Paris learn how to break down complex problems into smaller steps. “Which is such a simple concept, but it didn’t even cross my mind that I could do that in math,” said Paris. “And that taking my time in math meant that I was being a mathematician.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“Many students have this conception that they’re the only one who’s taking time to understand this concept, that everybody around them has already got it,” said Lambert, the UC Santa Barbara professor. Lambert suggested that teachers can reduce the rush of the pacing calendar by thinking of it not as going slowly but choosing where to invest time. “You can’t do every standard every year with your students. You have to figure out what is worth investment, and then spend more time with those topics so that students feel that they have enough time learning those things,” she said.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">In Strong’s view, this requires shifting away from math instruction that is built around the ideas the teacher wants to get to in a given period. Student-centered instruction requires a lot more listening, she said: “Listening first off to their stories and how they’re showing up to class, and then second off (listening to) the ways that they are thinking of and understanding and making sense of mathematical ideas.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Paris, who had Strong as a teacher for three years, said that time transformed her. She now works at a bridal shop, where she was recently promoted from stylist to sales manager – a role that involves a lot of math. “If I want to teach my stylists how to increase their productivity in their sales, then I need to think like a mathematician and come up with the ways that I can do that,” she explained. In tenth grade, that would have scared her. Not now. “There’s no reason for me to be afraid of math because I’ve proven to myself time and time again that I can do it,” she said.\u003c/span>\u003c/p>\n\u003cp>\u003c!-- iframe plugin v.4.3 wordpress.org/plugins/iframe/ -->\u003cbr>\n\u003ciframe loading=\"lazy\" frameborder=\"0\" height=\"200\" scrolling=\"no\" src=\"https://playlist.megaphone.fm/?e=KQINC8301605465&light=true\" width=\"100%\" class=\"iframe-class\">\u003c/iframe>\u003c/p>\n\u003ch2 id=\"episode-transcript\">Episode transcript\u003c/h2>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> Welcome to MindShift, where we explore the future of learning and how we raise our kids. I’m Kara Newhouse.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir: \u003c/b>\u003cspan style=\"font-weight: 400\">And I’m Nimah Gobir.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">[\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">Music\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">]\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Today we’re talking about math.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir:\u003c/b>\u003cspan style=\"font-weight: 400\"> Because it involves numbers and formulas, we often think of math as straightforward and objective.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> But learning math is actually packed with emotions. I met a high school teacher who starts the year with an unusual assignment. She has her students write a letter to math, describing their feelings about the subject. Here’s that teacher, Sarah Strong.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Sarah Strong: \u003c/b>\u003cspan style=\"font-weight: 400\">A Dear Math letter is a letter that students write to math as if math were personified sitting across the table from them. … And it really helps inform teachers better understand the students stories and experiences that they’re coming to class with so that teachers can better design math experiences for students to thrive and flourish in math class.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> We’ll hear more from Sarah later in the episode. First, here’s part of a Dear Math letter from one of her former students, Taylor Paris.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">[\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">Music\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">]\u003c/span>\u003c/p>\n\u003cp>\u003cb>Taylor Paris: \u003c/b>\u003cspan style=\"font-weight: 400\">[\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">Reading letter\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">] Dear math, Oh, do I have some things to say to you. You’ve followed me throughout every school year, caused me the worst headaches, and given me numerous counts of anxiety just thinking about you … The memories of my seventh grade math teacher telling me, ‘Maybe you’re just not a math person’ still ringing in my head, and the constant Bs and Cs are still imprinted in my mind. You’ve been a never ending challenge and struggle, and it’s always been hard to understand you. No matter how many times my friends and teachers explain you, I never grasp you completely.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> The anxiety and frustration that Taylor described in her letter are familiar feelings for many young people. And by the time students get to high school, it can feel like if they don’t understand math now, they never will.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir:\u003c/b>\u003cspan style=\"font-weight: 400\"> But math doesn’t have to be this way.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> When we get back from the break, we’ll hear more about Dear Math letters and how they help students like Taylor strengthen their mathematical identities.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> Taylor Paris graduated high school a few years ago, but she still remembers the first week of tenth grade math with her teacher Sarah Strong. That’s when students wrote letters to math, as if it were a person.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Taylor Paris:\u003c/b> \u003cspan style=\"font-weight: 400\">And I remember being so excited because basically you’re writing in math, and that’s never the case.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Interdisciplinary learning allows students to think about a subject from new perspectives. For Taylor, writing the Dear Math letter gave her a chance to reflect on how her early school years shaped her relationship to math.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Taylor Paris: \u003c/b>\u003cspan style=\"font-weight: 400\">I remember, my first, like, scariness of math was long division, because it was like so abstract to me, and everyone around me understood it and was just like, ‘Yeah, well that’s just the way it is and that’s totally fine.’\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Writing about those memories was cathartic. It also helped Taylor feel connected to her teacher.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Taylor Paris:\u003c/b> \u003cspan style=\"font-weight: 400\">I have never had a math teacher talk about emotions behind math ever. Like, truly ever … She recognized my experience as a part of this really big experience that so many other people have. And that was really validating.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Her teacher, Sarah Strong, also made it clear that it was okay for those feelings to surface throughout the year. Which made it possible for Taylor to focus on actually learning math.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Taylor Paris: \u003c/b>\u003cspan style=\"font-weight: 400\">She did a great job at making me feel like I could take a really complex problem and break it down to the bare bones of it, which is such a simple concept. But it didn’t even cross my mind that I could do that in math and that taking my time in math meant that I was being a mathematician. And that’s what mathematicians did, was take their time and work on problems slowly to really understand every aspect.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">When I met Taylor, she had just been promoted from a stylist to a sales manager at a bridal shop in San Diego. That’s a fashion job that involves a lot of math.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Taylor Paris: \u003c/b>\u003cspan style=\"font-weight: 400\">So stylists are responsible for obviously, you know, the customer service side of things, but on the sales side, there is a certain goal that you need to meet or would ideally meet day to day and kind of week to day, month to day. …\u003c/span> \u003cspan style=\"font-weight: 400\">And so when you think about it, sales is like one big math problem every day because there’s a question, there’s an answer that you have to get to, and then there’s variables that go into, you know, the answer to your problem, essentially.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> Taylor is 20. Not that long ago, doing a math-related job would have been unimaginable to her.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Taylor Paris:\u003c/b> \u003cspan style=\"font-weight: 400\">If you told sophomore year Taylor that I would be doing something that was directly correlated with math and numbers all the time, I would be terrified and probably laugh.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Taylor had Sarah Strong as a math teacher from 10th grade through 12th grade. She said that those years totally changed her view of math.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Taylor Paris: \u003c/b>\u003cspan style=\"font-weight: 400\">And so while I may have been scared to take a sales manager position at, you know, in my sophomore year, it makes a ton of sense for me now because what I do is help people find their wedding dress. And who would have thought that math was in finding a wedding dress?\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">[\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">Music\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">]\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Taylor now sees herself as a doer of math. This is what’s called mathematical identity.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir:\u003c/b>\u003cspan style=\"font-weight: 400\"> We did an episode featuring Chris Emdin, who talked about students’ STEM identities. Mathematical identity is one form of a STEM identity.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Sarah Strong: \u003c/b>\u003cspan style=\"font-weight: 400\">Mathematical identity is a way that students see themselves as a mathematician, and therefore it connects to the ways that they enter into mathematical spaces and connect with other mathematicians around them.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">That’s teacher Sarah Strong again. She created the Dear Math activity during a bigger project where students were exploring their mathematical identities. They were using different types of math as metaphors for their experiences. And Sarah wanted to add a writing component to that project.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Sarah Strong:\u003c/b> \u003cspan style=\"font-weight: 400\">And one of my colleagues shared with me the idea of writing letters to a thing like books or basketball, and how she’d heard of that practice. And she thought I could do Dear Math letters, and I thought that was an amazing idea. So I ran with it.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">The letters were powerful. And Sarah realized that having students write them at the beginning of the year could help her teach each class better. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Here’s how she does it now. She introduces the assignment during the first week of school. She reads her own Dear Math letter as a model, because most students aren’t used to writing in math class. Hearing her letter also lets them know that even though she teaches math, it hasn’t always been easy for her.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir: \u003c/b>\u003cspan style=\"font-weight: 400\">After reading her letter, Sarah gives her students prompts for writing their own. Questions like…\u003c/span>\u003c/p>\n\u003cul>\n\u003cli style=\"font-weight: 400\">\u003cspan style=\"font-weight: 400\">What is one of your greatest mathematical strengths?\u003c/span>\u003c/li>\n\u003cli style=\"font-weight: 400\">\u003cspan style=\"font-weight: 400\">How do you plan to engage with math in the future?\u003c/span>\u003c/li>\n\u003cli style=\"font-weight: 400\">\u003cspan style=\"font-weight: 400\">What would you like more of in math classrooms?\u003c/span>\u003c/li>\n\u003c/ul>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">They spend 15 to 30 minutes writing in class. Anyone who wants to write more can finish at home.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir: \u003c/b>\u003cspan style=\"font-weight: 400\">Then Sarah reads the letters on her own. She says this is the most important step.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Sarah Strong: \u003c/b>\u003cspan style=\"font-weight: 400\">‘Cause it’s the beginning of an ongoing story between you and the students and their math experience for that semester or year, and it’s really important to start by listening to them well.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">She first looks for broad patterns across the class.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Sarah Strong: \u003c/b>\u003cspan style=\"font-weight: 400\">If I’ve got a disproportionate amount of students that hate math, don’t think they’re mathematicians, that I have to be really intentional about my class design, where I am regularly noticing and calling out their mathematical strengths and giving them opportunities to see themselves as mathematicians and see each other as mathematicians.\u003c/span> \u003cspan style=\"font-weight: 400\">Or do I have a lot of students who, who feel like ‘I am a really strong mathematician. Ever since I was young, I get all the right answers. I’m really fast.’ Then I can note that that’s a trend in the class and be thinking how I can continue to push those students while also broadening their understanding of how they are mathematical and how important it is to also listen to other students’ ways of being mathematical.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">She also reads the letters for individual details about things students love and things that trip them up. She might make a few notes and …\u003c/span>\u003c/p>\n\u003cp>\u003cb>Sarah Strong: \u003c/b>\u003cspan style=\"font-weight: 400\">Check in with students like, ‘Gosh, I remember you said that you had a really hard time with the idea of percents and like whenever percents come up, you panic. Well, tomorrow we’re going to need some percents in our work with exponential functions. And so I wanted to make sure that you knew that I believe that you’ve got this. If you want to do a little practice beforehand, we can do that because I want you to feel confident. I don’t want some story from sixth grade impacting your confidence in what we’re working on right now.’\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Sarah said that getting to know students was always important to her. Even before she created the Dear Math assignment.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Sarah Strong:\u003c/b> \u003cspan style=\"font-weight: 400\">I would often try to connect with them in a variety of ways and I would hear their comments here and there that were both positive and negative. And I always tried to be a really good listener and understand my students’ feelings.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">But she wasn’t always getting a full picture.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Sarah Strong:\u003c/b> \u003cspan style=\"font-weight: 400\">Sometimes I think I was being a little delusional before I got to hear their whole stories because I would think, ‘Oh, they had really negative experiences. They don’t like math, but now that they’re in my class, everything’s going to be fine.’\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">The letters helped her take off her rose-colored glasses.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Sarah Strong:\u003c/b> \u003cspan style=\"font-weight: 400\">It wasn’t until I started having them write Dear Math letters that I got to hear more complete stories and gain a bigger picture for their previous experience and how those experiences were informing the ways they were showing up to my class.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">That knowledge enables her to help students grow as math learners throughout the year.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Sarah Strong:\u003c/b> \u003cspan style=\"font-weight: 400\">My biggest hope is that they start to see themselves as mathematicians in new ways and that they start to see their peers as mathematically brilliant in new ways.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">[\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">Music\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">]\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Nimah, it would be great if writing a Dear Math letter helped all students see themselves as capable of doing math – the way it did for Taylor Paris.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir: \u003c/b>\u003cspan style=\"font-weight: 400\">It would. But of course not every student’s math story is linear.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">No… Some math stories go up and down over time, like a periodic function. \u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir: \u003c/b>\u003cspan style=\"font-weight: 400\">Hey, nice math analogy! \u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> I got that one from Sarah Strong. She described her own math story that way. It also applies to another of her former students, Isabela Avila. Here’s the start of a Dear Math letter Isabela wrote in tenth grade.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Isabela Avila: \u003c/b>\u003cspan style=\"font-weight: 400\">[\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">Reading letter\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">] Dear Math, I really like you, but you don’t come naturally to me. I have to work extra hard to understand and fully conceptualize what you have to offer.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">In previous math classes, Isabela felt pressure to always be fast and have the right answer. But she told me that expectation wasn’t there in Sarah Strong’s class.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Isabela Avila: \u003c/b>\u003cspan style=\"font-weight: 400\">It was never even like a question of like, did you get it right or wrong? It was just seemed like we were always just all learning together, as a class.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> That sense of togetherness mattered. \u003c/span>\u003c/p>\n\u003cp>\u003cb>Isabela Avila: \u003c/b>\u003cspan style=\"font-weight: 400\">And like, I think that really helped me like number one, like, think highly of myself as like a problem solver and also … be confident in my ideas.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Isabela had Sarah Strong as a teacher twice, and she wrote a Dear Math letter both times. You can hear her increased confidence in the letter she wrote as a senior.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Isabela Avila:\u003c/b> \u003cspan style=\"font-weight: 400\">[\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">Reading letter\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">] The most mathematical growth I feel I have ever experienced was during my junior year. I felt confident in my algebra skills for the first time ever. … My mindset also shifted drastically. I developed a sense of patience and open mindedness for the first time ever. … I know this will help me a lot in college and beyond, and I look forward to using it in the future. Sincerely, Isabela Avila.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">When Isabela actually got to college, the transition was rocky. She’s a pre-med major at Johns Hopkins University in Baltimore.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Isabela Avila:\u003c/b> \u003cspan style=\"font-weight: 400\">Our like math department is known for being like notoriously hard.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> All around her, Isabela saw classmates who had come from elite high schools and seemed to understand calculus more easily than she did.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Isabela Avila: \u003c/b>\u003cspan style=\"font-weight: 400\">I really struggled a lot with like comparing myself, especially in math. And I just found that to be super, super counter-productive for both my learning and like my self esteem.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Sometimes she would break down crying while doing homework, which could take eight hours to complete. In class, she didn’t participate as much as she had hoped to.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Isabela Avila: \u003c/b>\u003cspan style=\"font-weight: 400\">I just really didn’t want to sound like I didn’t know what I was talking about or like, not that I don’t belong there, but I don’t know. It was just, everyone around me was so smart. And I know, like, tests don’t define you, but everyone around me, like, even if they were starting in calc one, they, like, got fives on like the AP calc exams and did exceptionally well.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> Back in high school, Isabela had written in one of her letters that she’d had a lot of highs and lows with math. Freshman year of college was definitely another low.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">When I talked to her during her sophomore year at Johns Hopkins, being a premed major was still very stressful. Something that helped, though, was making friends who didn’t talk about grades.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Isabela Avila: \u003c/b>\u003cspan style=\"font-weight: 400\">We don’t talk about, like, what score we got. We don’t talk about how we’re doing in the class. We don’t talk about — honestly we don’t talk that much about like our actual like school. \u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">And she said the persistence that she developed in high school did help her get through calculus.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Isabela Avila:\u003c/b> \u003cspan style=\"font-weight: 400\">Especially in math here in college, like, I feel like how you think about yourself and like how fast you are to like, get back up and keep trying is really, truly so much more important than if you can actually do the math.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">[\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">Music\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">]\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir:\u003c/b>\u003cspan style=\"font-weight: 400\"> Kara, the way Isabela compared herself to her calculus classmates isn’t unique to being at a university full of high achievers.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> That’s right. Sarah Strong said those comparisons have been pervasive in students’ Dear Math letters. And according to experts, this kind of thinking starts early.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir:\u003c/b>\u003cspan style=\"font-weight: 400\"> Researchers say even kindergarteners start to notice their spot in the pecking order of math ability.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">It often starts with those one-minute math quizzes that so many of us remember.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">[\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">Sound of pencils scribbling and slamming down\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">]\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir: \u003c/b>\u003cspan style=\"font-weight: 400\">Students might hear their classmates furiously scribbling answers and slamming their pencils down when they finish. They equate that with being “good” at math.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">And there are lots of other ways in school that students are ranked and sorted. In younger grades, teachers often group students by ability when they’re practicing math. In upper grades, students may get tracked into ‘regular’ and ‘advanced’ classes. \u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir: \u003c/b>\u003cspan style=\"font-weight: 400\">Some teachers will even publicly display kids’ progress in certain math skills. This can look like a bulletin board that uses paper ice cream scoops to represent how many multiplication facts each student knows.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">One researcher I talked to had a lot of ideas about how to disrupt hierarchies in math education. This is Rachel Lambert, from University of California, Santa Barbara.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Rachel Lambert: \u003c/b>\u003cspan style=\"font-weight: 400\">I think if there’s one one thing I’d like to communicate, it’s that teachers and parents can affect the way kids think about these things.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Rachel shared five tips that teachers can use to help kids stop comparing themselves to others in math. The first tip is to change the narrative about who can do math.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Rachel Lambert: \u003c/b>\u003cspan style=\"font-weight: 400\">Students would tell me how much it mattered to them to hear their teacher say, ‘There is no difference in who can be good at math.’ Like very clear messages around race and gender and the clear message that there is no one group of people that is better in math than other people, those students told me that was helpful to them.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> Changing the narrative isn’t just about what we say to kids. It’s also about how teachers talk to each other. And how they group students in class.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Rachel Lambert: \u003c/b>\u003cspan style=\"font-weight: 400\">We might think as teachers – and I was a teacher for over 10 years – that kids don’t know that we might be calling them low kids or high kids when we’re having lunch with other teachers. … But they know, they always know and they know how they’re being grouped and classified and seen. … If we decide that kids are going to do well in mathematics, we do a lot of things in our teaching to set them up for success day after day. If we think kids will fail when we hand them a mathematical task, we’re doing subtle things to set them up for failure every single time we do that. So if we put them in groups that never change, we’re teaching them who they are and we’re also affecting who they become, because we’re only allowing them opportunities to do things quote-unquote at their level. \u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Rachel’s second tip for teachers is to stop focusing on speed. \u003c/span>\u003c/p>\n\u003cp>\u003cb>Rachel Lambert:\u003c/b> \u003cspan style=\"font-weight: 400\">Think of it not as a matter of going slow. Think of it as investing in certain things. So you can’t hit everything on your pacing calendar. You can’t do every standard every year with your students. You have to figure out what is worth investment and what is worth extra time, and then spend more time with those topics so that students feel that they have enough time learning those things.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Her third tip is to normalize mistakes. It can help students learn from each other’s thinking when you have them share their mistakes. Rachel told me about a teacher who did this.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Rachel Lambert: \u003c/b>\u003cspan style=\"font-weight: 400\">She would even put a little heart next to a mistake and she’d be, ‘This was my favorite mistake of the day.’ And she drew a little heart next to it. And the kids would go, ‘awww.’ It’s adorable.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> Tip number four is to give students problems that can be approached from multiple angles.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Rachel Lambert:\u003c/b> \u003cspan style=\"font-weight: 400\">I see that some kids really love to engage in the visual aspect of a problem. Other students like to make, say, an organized list. And that doesn’t mean – there’s no such thing as learning styles; it doesn’t mean that that’s the way they’re going to approach every problem, but it does mean that a problem that draws on multiple ways of engaging can be more rich mathematically and also disrupt ideas of who’s the best at math and who isn’t.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Rachel Lambert’s fifth and final tip is to make supports available to everyone.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Rachel Lambert: \u003c/b>\u003cspan style=\"font-weight: 400\">That is the one of the simplest interventions you can do in math to make it more equitable … And it doesn’t send any negative messages to kids because they are choosing if they want to use a calculator. They are choosing if they want to hear the directions a second time. They are choosing if they use manipulatives.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Making these resources available to everyone takes the teacher’s assumptions out of the equation. And it helps kids develop the skills to recognize what they need to succeed.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">[\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">Music\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">]\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir: \u003c/b>\u003cspan style=\"font-weight: 400\">Kara, there are some people who say math teachers should just focus on content. That activities like writing letters to math are more about self-esteem than learning.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">These goals don’t have to be separate. Direct instruction and problem-solving practice are essential parts of math education. But like we said at the beginning, doing math involves emotions. Although we’ve heard a lot about the frustrating parts of math, it can also evoke positive emotions.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir: \u003c/b>\u003cspan style=\"font-weight: 400\">Kids who are absorbed in math problem-solving often express wonder and excitement.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">Listening to young people’s stories and honoring all of these emotions allows students to be more human in math class. And that doesn’t just make them \u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">believe \u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">in their math abilities, it empowers them to learn math and to do math.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">[\u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">Music\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\">]\u003c/span>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse: \u003c/b>\u003cspan style=\"font-weight: 400\">This episode would not have been possible without Sarah Strong. To learn more about Dear Math letters, you can read the book she wrote with her former student, Gigi Butterfield. The book is called, \u003c/span>\u003ci>\u003cspan style=\"font-weight: 400\">Dear Math: Why Kids Hate Math and What Teachers Can Do About It.\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\"> \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Thanks also to Taylor Paris, Isabela Avila, Rachel Lambert and Amy Parks.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">The MindShift team includes Nimah Gobir, Ki Sung, Marlena Jackson-Retondo and me, Kara Newhouse.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Our editor is Chris Hambrick. Chris Hoff engineered this episode.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Additional support from Jen Chien, Katie Sprenger, Cesar Saldaña and Holly Kernan.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">MindShift is supported in part by the generosity of the William & Flora Hewlett Foundation and members of KQED.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Nimah Gobir:\u003c/b>\u003cspan style=\"font-weight: 400\"> If you love MindShift, and enjoyed this episode, please share it with a friend. We really appreciate it. You can also read more or subscribe to our newsletter at \u003c/span>\u003ca href=\"http://kqed.org/mindshift\">\u003cspan style=\"font-weight: 400\">kqed.org/mindshift\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">.\u003c/span>\u003c/p>\n\u003cp>\u003c/p>\u003c/div>","attributes":{"named":{},"numeric":[]}},{"type":"component","content":"","name":"ad","attributes":{"named":{"label":"floatright"},"numeric":["floatright"]}},{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003c/p>\n\u003cp>\u003cb>Kara Newhouse:\u003c/b>\u003cspan style=\"font-weight: 400\"> Thank you for listening to Season 8 of the MindShift podcast. That’s it for these deep dive episodes. We’re taking a little break, but we’ll be back soon with new episodes featuring conversations about big ideas in education. Be sure to follow the show or subscribe so you don’t miss a thing.\u003c/span>\u003c/p>\n\n\u003c/div>\u003c/p>","attributes":{"named":{},"numeric":[]}}],"link":"/mindshift/62436/how-listening-to-students-stories-can-improve-math-class","authors":["11487"],"programs":["mindshift_21942"],"categories":["mindshift_192","mindshift_21130","mindshift_21848","mindshift_193"],"tags":["mindshift_21794","mindshift_20994","mindshift_21792","mindshift_21611","mindshift_21341","mindshift_392","mindshift_20893","mindshift_21795","mindshift_21796","mindshift_46","mindshift_21640","mindshift_21793","mindshift_47","mindshift_20852","mindshift_21642"],"featImg":"mindshift_62441","label":"mindshift_21942"},"mindshift_61712":{"type":"posts","id":"mindshift_61712","meta":{"index":"posts_1716263798","site":"mindshift","id":"61712","score":null,"sort":[1685440859000]},"guestAuthors":[],"slug":"do-math-drills-help-children-learn","title":"Do Math Drills Help Children Learn?","publishDate":1685440859,"format":"standard","headTitle":"Do Math Drills Help Children Learn? | KQED","labelTerm":{"site":"mindshift"},"content":"\u003cp>\u003cspan style=\"font-weight: 400\">One of the most hotly contested teaching practices concerns a single minute of math class. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Should teachers pull out their stopwatches and administer one-page worksheets in addition, subtraction, multiplication and division? Speed drills are such a routine part of the weekly rhythms of many math classrooms that they’re often called Mad Minute Mondays. Critics say these timed drills aren’t useful and instead provoke math anxiety in many children. The National Council of Teachers of Mathematics urges teachers to “\u003c/span>\u003ca href=\"https://www.nctm.org/uploadedFiles/Standards_and_Positions/Position_Statements/PROCEDURAL_FLUENCY.pdf\" target=\"_blank\" rel=\"noopener\">\u003cspan style=\"font-weight: 400\">avoid” timed tests\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. But advocates insist that these tests, which last one to five minutes, help children memorize math facts, freeing up their brains to tackle more challenging math problems. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">This long-running debate captured my attention again because a group of more than a dozen education researchers, who founded an organization they call the “\u003c/span>\u003ca href=\"https://www.thescienceofmath.com/\" target=\"_blank\" rel=\"noopener\">\u003cspan style=\"font-weight: 400\">Science of Math\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">,” declared that the stopwatch skeptics are wrong. The researchers built an \u003c/span>\u003ca href=\"https://www.thescienceofmath.com/timed-tests-cause-math-anxiety\" target=\"_blank\" rel=\"noopener\">\u003cspan style=\"font-weight: 400\">entire webpage\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> to set the record straight and devoted a section of a 2022 paper to explaining why it’s a \u003c/span>\u003ca href=\"https://www.cis.org.au/publication/myths-that-undermine-maths-teaching/\" target=\"_blank\" rel=\"noopener\">\u003cspan style=\"font-weight: 400\">myth that timed tests cause anxiety\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. A few readers contacted me after I first wrote about the \u003c/span>\u003ca href=\"https://hechingerreport.org/proof-points-how-a-debate-over-the-science-of-math-could-reignite-the-math-wars/\" target=\"_blank\" rel=\"noopener\">\u003cspan style=\"font-weight: 400\">Science of Math movement\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> earlier in May 2023, urging me to look at the group’s claims about timed tests. After looking at the research, I think the evidence is not quite as clear as the Science of Math group indicates. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">The group argues there is no evidence that timed tests cause math anxiety. They also contend that timed tests improve math performance. Some researchers contest both points.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“Time tests don’t cause math anxiety?” said Jo Boaler, an education professor at Stanford University who is a prominent opponent of timed tests. “I could counter their studies with many more that show the opposite. And yes, you could conclude it’s a contested field, that there’s different evidence. But you can’t conclude that this is a myth.”\u003c/span>\u003c/p>\n\u003ch2>Dueling evidence\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400\">There isn’t much dispute about the lack of empirical evidence. I interviewed more than a half dozen math experts who confirmed there aren’t well-designed experiments that prove timed tests cause math anxiety. The Science of Math group could find only \u003c/span>\u003ca href=\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2806671/\" target=\"_blank\" rel=\"noopener\">\u003cspan style=\"font-weight: 400\">two experimental studies\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> that have attempted to \u003c/span>\u003ca href=\"https://link.springer.com/article/10.1007/s10864-016-9251-6\" target=\"_blank\" rel=\"noopener\">\u003cspan style=\"font-weight: 400\">test the hypothesis\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> and neither concluded that tests produce anxiety. \u003c/span>\u003c/p>\n\u003cp>[ad fullwidth]\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Math anxiety is difficult to measure, and even children who enjoy timed drills may experience an elevated heart rate, an aspect of anxiety, as they race through a sheet of sums. Distinguishing productive adrenaline rush from detrimental anxiety isn’t easy. It’s also complicated to disentangle whether timed tests are making matters worse for children who already have math anxiety from other causes. There’s \u003c/span>\u003ca href=\"https://news.uchicago.edu/story/math-anxiety-causes-trouble-students-early-first-grade\" target=\"_blank\" rel=\"noopener\">\u003cspan style=\"font-weight: 400\">evidence for and against\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> even within studies. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Ideally, you would need to design a multi-year study — where some children were randomly given speed drills and others not, but were all taught the same way — and see what their math achievement and math anxiety levels were at the end of high school. That study doesn’t exist. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">What does exist are dozens, perhaps hundreds, of studies that document the stories of people who describe how much they hated timed tests. Interview excerpts like this one from a \u003c/span>\u003ca href=\"https://go.gale.com/ps/i.do?id=GALE%7CA62839422&sid=googleScholar&v=2.1&it=r&linkaccess=abs&issn=01463934&p=AONE&sw=w&userGroupName=nysl_oweb&isGeoAuthType=true&aty=geo\" target=\"_blank\" rel=\"noopener\">\u003cspan style=\"font-weight: 400\">1999 study\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> of college students who were training to become math teachers are typical:\u003c/span>\u003c/p>\n\u003cp>\u003cem>\u003cspan style=\"font-weight: 400\">“If I am timed, I get nervous and forget everything. I do the ones I know, but then I get stressed that I’m not thinking fast enough and forget. I worry about finishing, and I can’t remember it even if I do know it. It is horrible. I get nervous just thinking about it.”\u003c/span>\u003c/em>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Others explained how they decided they weren’t a “math person” during these time-pressured moments and lost interest in the subject. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">First-person testimonials are sufficient evidence for some that timed tests are harmful. For others, subjective reflections like this, no matter how many and how emotionally compelling, still fall short of scientific proof. At the same time, we also don’t have compelling scientific evidence to prove that timed tests aren’t harming children. I think it remains unknown. \u003c/span>\u003c/p>\n\u003ch2>Citation clash\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400\">Several math education experts questioned the Science of Math group’s scientific evidence on their second claim, that “timed tactics improve math performance.” One critic, Rachel Lambert, an associate professor in both special education and mathematics education at University of California Santa Barbara, had one of her classes analyze the group’s citations about timed tests, as an assignment on how to analyze education research. She showed me a spreadsheet of instances where the citations didn’t back their claims. In some cases, the studies contradicted their claims and found that students performed worse under timed conditions. “They’re calling themselves the Science of Math,” said Lambert. “But they’re not being careful in their citations.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">I found several of the citations confusing, too. Corey Peltier, an assistant professor of special education at the University of Oklahoma and one of the founders of the Science of Math group, explained that the primary purpose of the webpage and the article was to dispel the myth that timed tests and other timed activities cause anxiety. “We weren’t writing about how timing affects math performance,” he said via email. “Rather we were writing about whether timing causes math anxiety.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Confusing citations or not, the more pressing question for math teachers and parents is whether there is evidence in favor of timed tests. The U.S. Department of Education seems to side with the Science of Math folks and against the National Council of Teachers of Mathematics. A \u003c/span>\u003ca href=\"https://ies.ed.gov/ncee/wwc/Docs/PracticeGuide/WWC2021006-Math-PG.pdf\" target=\"_blank\" rel=\"noopener\">\u003cspan style=\"font-weight: 400\">2021 guide for teachers on how to assist elementary school students who struggle with math\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> recommends regular timed activities – not necessarily tests – to help children build fluency with addition, subtraction, multiplication and division. The What Works Clearinghouse, a unit of the Department of Education that vets research, and an expert panel found 27 studies to back timed practice and called that a “strong” level of evidence.\u003c/span>\u003c/p>\n\u003ch2>Games vs. the stopwatch\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400\">These 27 studies suggest that timed activities – not in isolation, but in conjunction with larger interventions – help children learn math. In one 2013 \u003c/span>\u003ca href=\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3779611/\" target=\"_blank\" rel=\"noopener\">\u003cspan style=\"font-weight: 400\">study\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">, struggling first graders received math tutoring three times a week and were split into two groups. One played untimed games to reinforce the lessons. The other was subjected to speed practice, where the children worked in groups to try to answer as many math flashcards correctly as possible within 60 seconds. Each time they were encouraged to “meet or beat” their previous score. After 16 weeks, the children in the speed practice group had much higher math achievement than the children who had played untimed games.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Children in the speed group answered more math facts correctly each day, the researchers found. The sheer volume of correct responses helped the children commit more math facts to long-term memory, according to Lynn Fuchs, who led the study. Cognitive scientists call that spaced retrieval practice, a proven way of building long-term memories, and children in the speed group got more of it. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“That gives children an advantage as they progress through the math curriculum,” said Fuchs, a professor of education at Vanderbilt University. “A lot of kids will develop fluency on their own without any fluency building practice. But to say we can’t do that in classrooms is to deny the opportunity to develop fluency for a significant portion of children.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Fuchs and other advocates question why timed practice is so controversial in math when it’s common in other fields. Musicians repeat scales by the rapid tick of a metronome and athletes do speed drills to build muscle memory. “In all walks of life, the strongest musicians, the most skillful athletes, they do drills and practice, drill and practice,” said Fuchs.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Opponents of timed tests also want children to automatically know that seven times eight is 56 instead of conceptually thinking it out each time (7+7+7+7+7+7+7+7), but they say that there are games and other less stressful ways to do it. Fuchs’s study is one of the few to directly test timed versus untimed conditions and we need more studies to replicate her findings before we can conclude that speed is considerably more effective and harmless to children.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Both sides of this debate are concerned with working memory, the ability to temporarily hold information in your head in order to process it, think and solve. One side worries that timed tests can produce so much anxiety that it overwhelms the working memory and prevents a child from learning. The other side wants to free up working memory to handle more complicated math problems by making basic arithmetic calculations automatic, and it believes the most effective road to automaticity is through speed drills. While the causes of math anxiety are debated and mysterious, many in the pro-drill camp suspect that children might feel less math anxiety if they became more proficient in the subject, which is something that drills might help accomplish.\u003c/span>\u003c/p>\n\u003ch2>Advice for math teachers\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400\">What can classroom teachers take away from this debate? I turned to a veteran researcher, Art Baroody, professor emeritus at the University of Illinois at Urbana-Champaign, who spent his career studying the best ways to teach counting, numbers and arithmetic concepts to young children.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">He agrees that timed tests can be used effectively, but he is apprehensive about a blanket recommendation for teachers to use them. “Timed tests are an educational tool and like any tool can be used to good, no, or bad effect,” he said. “Unfortunately, the tool is often misused with poor or even devastating results. I have seen the damage timed tests can do to some children.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Baroody thinks it’s critical that children first understand conceptually what addition and subtraction mean and develop number sense before they are given timed tests. Too often students are taught mathematical operations through rote memorization, like random numbers, he said, and arithmetic learned this way is easily forgotten, no matter how much it’s drilled.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">But once a child understands the math, he believes that timed worksheets are beneficial. Baroody said that if he were teaching in an elementary school classroom, he would administer timed tests at least once a week, and even more often depending on the topic and how much children have learned.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Fuchs is even more circumspect in her advice to teachers on how to use timed tests effectively without harming children in the process. Not only should students first master concepts, they should have already demonstrated that they know the correct answers in an untimed setting. “You don’t want to give students a page full of problems and they’re kind of lost,” said Fuchs. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Immediate feedback is important too. “When you make an error, your teacher or your partner can say, ‘Hey, let’s fix that’,” said Fuchs. “You want to stop a student when they make an error because what you’re trying to do is practice correct responses. You don’t want students to practice incorrect responses.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Advocates of timed practice disagree about the details. Some say students should be given long lists of calculations so that no one can finish in time and slam their pencils down, which leaves slower children feeling bad about themselves. However, Fuchs favors flashcards because she fears the sight of a long list of problems overwhelms some children. This is an area that needs more research to guide teachers on best practices.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">The Science of Math group concurs that not all timed practice is good, and says the research shows that timed activities or tests shouldn’t start until after a child can calculate accurately. They also say that teachers should never count these tests toward students’ grades; the tests should be low-stakes practice.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“Much like any instructional activity, if it is used inappropriately, it will yield minimal benefits and in some cases could be harmful,” said Peltier. Timing students on “a skill they don’t know – not only is this a waste of time, it also can be demoralizing and harmful. Imagine being timed to parallel park a car at the age of 16!” \u003c/span>\u003c/p>\n\u003cp>[ad floatright]\u003c/p>\n\u003cp>\u003ci>\u003cspan style=\"font-weight: 400\">This story about \u003c/span>\u003c/i>\u003ca href=\"https://hechingerreport.org/proof-points-do-math-drills-help-children-learn/\" target=\"_blank\" rel=\"noopener\">\u003ci>\u003cspan style=\"font-weight: 400\">math drills\u003c/span>\u003c/i>\u003c/a>\u003ci>\u003cspan style=\"font-weight: 400\"> was written by Jill Barshay and produced by \u003c/span>\u003c/i>\u003ca href=\"https://hechingerreport.org/special-reports/higher-education/\" target=\"_blank\" rel=\"noopener\">\u003cspan style=\"font-weight: 400\">The Hechinger Report\u003c/span>\u003c/a>\u003ci>\u003cspan style=\"font-weight: 400\">, a nonprofit, independent news organization focused on inequality and innovation in education. Sign up for \u003c/span>\u003c/i>\u003ca href=\"https://hechingerreport.org/proofpoints/\" target=\"_blank\" rel=\"noopener\">\u003ci>\u003cspan style=\"font-weight: 400\">Proof Points\u003c/span>\u003c/i>\u003c/a>\u003ci>\u003cspan style=\"font-weight: 400\"> and other \u003c/span>\u003c/i>\u003ca href=\"https://hechingerreport.org/newsletters/\" target=\"_blank\" rel=\"noopener\">\u003ci>\u003cspan style=\"font-weight: 400\">Hechinger newsletters\u003c/span>\u003c/i>\u003c/a>\u003ci>\u003cspan style=\"font-weight: 400\">.\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\"> \u003c/span>\u003c/p>\n\n","blocks":[],"excerpt":"Advocates insist that timed tests help children memorize math facts, while opponents say they cause math anxiety.","status":"publish","parent":0,"modified":1724333971,"stats":{"hasAudio":false,"hasVideo":false,"hasChartOrMap":false,"iframeSrcs":[],"hasGoogleForm":false,"hasGallery":false,"hasHearkenModule":false,"hasPolis":false,"paragraphCount":33,"wordCount":2177},"headData":{"title":"Do Math Drills Help Children Learn? | KQED","description":"Timed tests might be a more efficient way to memorize multiplication tables, but even advocates caution that there are many pitfalls.","ogTitle":"","ogDescription":"","ogImgId":"","twTitle":"","twDescription":"","twImgId":"","socialDescription":"Timed tests might be a more efficient way to memorize multiplication tables, but even advocates caution that there are many pitfalls.","schema":{"@context":"http://schema.org","@type":"Article","headline":"Do Math Drills Help Children Learn?","datePublished":"2023-05-30T03:00:59-07:00","dateModified":"2024-08-22T06:39:31-07:00","image":"https://cdn.kqed.org/wp-content/uploads/2020/02/KQED-OG-Image@1x.png"}},"sticky":false,"nprByline":"Jill Barshay, \u003ca href=\"https://hechingerreport.org/\" target=\"_blank\">The Hechinger Report\u003c/a>","excludeFromSiteSearch":"Include","showOnAuthorArchivePages":"No","articleAge":"0","path":"/mindshift/61712/do-math-drills-help-children-learn","audioTrackLength":null,"parsedContent":[{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003cp>\u003cspan style=\"font-weight: 400\">One of the most hotly contested teaching practices concerns a single minute of math class. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Should teachers pull out their stopwatches and administer one-page worksheets in addition, subtraction, multiplication and division? Speed drills are such a routine part of the weekly rhythms of many math classrooms that they’re often called Mad Minute Mondays. Critics say these timed drills aren’t useful and instead provoke math anxiety in many children. The National Council of Teachers of Mathematics urges teachers to “\u003c/span>\u003ca href=\"https://www.nctm.org/uploadedFiles/Standards_and_Positions/Position_Statements/PROCEDURAL_FLUENCY.pdf\" target=\"_blank\" rel=\"noopener\">\u003cspan style=\"font-weight: 400\">avoid” timed tests\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. But advocates insist that these tests, which last one to five minutes, help children memorize math facts, freeing up their brains to tackle more challenging math problems. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">This long-running debate captured my attention again because a group of more than a dozen education researchers, who founded an organization they call the “\u003c/span>\u003ca href=\"https://www.thescienceofmath.com/\" target=\"_blank\" rel=\"noopener\">\u003cspan style=\"font-weight: 400\">Science of Math\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">,” declared that the stopwatch skeptics are wrong. The researchers built an \u003c/span>\u003ca href=\"https://www.thescienceofmath.com/timed-tests-cause-math-anxiety\" target=\"_blank\" rel=\"noopener\">\u003cspan style=\"font-weight: 400\">entire webpage\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> to set the record straight and devoted a section of a 2022 paper to explaining why it’s a \u003c/span>\u003ca href=\"https://www.cis.org.au/publication/myths-that-undermine-maths-teaching/\" target=\"_blank\" rel=\"noopener\">\u003cspan style=\"font-weight: 400\">myth that timed tests cause anxiety\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. A few readers contacted me after I first wrote about the \u003c/span>\u003ca href=\"https://hechingerreport.org/proof-points-how-a-debate-over-the-science-of-math-could-reignite-the-math-wars/\" target=\"_blank\" rel=\"noopener\">\u003cspan style=\"font-weight: 400\">Science of Math movement\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> earlier in May 2023, urging me to look at the group’s claims about timed tests. After looking at the research, I think the evidence is not quite as clear as the Science of Math group indicates. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">The group argues there is no evidence that timed tests cause math anxiety. They also contend that timed tests improve math performance. Some researchers contest both points.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“Time tests don’t cause math anxiety?” said Jo Boaler, an education professor at Stanford University who is a prominent opponent of timed tests. “I could counter their studies with many more that show the opposite. And yes, you could conclude it’s a contested field, that there’s different evidence. But you can’t conclude that this is a myth.”\u003c/span>\u003c/p>\n\u003ch2>Dueling evidence\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400\">There isn’t much dispute about the lack of empirical evidence. I interviewed more than a half dozen math experts who confirmed there aren’t well-designed experiments that prove timed tests cause math anxiety. The Science of Math group could find only \u003c/span>\u003ca href=\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2806671/\" target=\"_blank\" rel=\"noopener\">\u003cspan style=\"font-weight: 400\">two experimental studies\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> that have attempted to \u003c/span>\u003ca href=\"https://link.springer.com/article/10.1007/s10864-016-9251-6\" target=\"_blank\" rel=\"noopener\">\u003cspan style=\"font-weight: 400\">test the hypothesis\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> and neither concluded that tests produce anxiety. \u003c/span>\u003c/p>\n\u003cp>\u003c/p>\u003c/div>","attributes":{"named":{},"numeric":[]}},{"type":"component","content":"","name":"ad","attributes":{"named":{"label":"fullwidth"},"numeric":["fullwidth"]}},{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Math anxiety is difficult to measure, and even children who enjoy timed drills may experience an elevated heart rate, an aspect of anxiety, as they race through a sheet of sums. Distinguishing productive adrenaline rush from detrimental anxiety isn’t easy. It’s also complicated to disentangle whether timed tests are making matters worse for children who already have math anxiety from other causes. There’s \u003c/span>\u003ca href=\"https://news.uchicago.edu/story/math-anxiety-causes-trouble-students-early-first-grade\" target=\"_blank\" rel=\"noopener\">\u003cspan style=\"font-weight: 400\">evidence for and against\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> even within studies. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Ideally, you would need to design a multi-year study — where some children were randomly given speed drills and others not, but were all taught the same way — and see what their math achievement and math anxiety levels were at the end of high school. That study doesn’t exist. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">What does exist are dozens, perhaps hundreds, of studies that document the stories of people who describe how much they hated timed tests. Interview excerpts like this one from a \u003c/span>\u003ca href=\"https://go.gale.com/ps/i.do?id=GALE%7CA62839422&sid=googleScholar&v=2.1&it=r&linkaccess=abs&issn=01463934&p=AONE&sw=w&userGroupName=nysl_oweb&isGeoAuthType=true&aty=geo\" target=\"_blank\" rel=\"noopener\">\u003cspan style=\"font-weight: 400\">1999 study\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> of college students who were training to become math teachers are typical:\u003c/span>\u003c/p>\n\u003cp>\u003cem>\u003cspan style=\"font-weight: 400\">“If I am timed, I get nervous and forget everything. I do the ones I know, but then I get stressed that I’m not thinking fast enough and forget. I worry about finishing, and I can’t remember it even if I do know it. It is horrible. I get nervous just thinking about it.”\u003c/span>\u003c/em>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Others explained how they decided they weren’t a “math person” during these time-pressured moments and lost interest in the subject. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">First-person testimonials are sufficient evidence for some that timed tests are harmful. For others, subjective reflections like this, no matter how many and how emotionally compelling, still fall short of scientific proof. At the same time, we also don’t have compelling scientific evidence to prove that timed tests aren’t harming children. I think it remains unknown. \u003c/span>\u003c/p>\n\u003ch2>Citation clash\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400\">Several math education experts questioned the Science of Math group’s scientific evidence on their second claim, that “timed tactics improve math performance.” One critic, Rachel Lambert, an associate professor in both special education and mathematics education at University of California Santa Barbara, had one of her classes analyze the group’s citations about timed tests, as an assignment on how to analyze education research. She showed me a spreadsheet of instances where the citations didn’t back their claims. In some cases, the studies contradicted their claims and found that students performed worse under timed conditions. “They’re calling themselves the Science of Math,” said Lambert. “But they’re not being careful in their citations.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">I found several of the citations confusing, too. Corey Peltier, an assistant professor of special education at the University of Oklahoma and one of the founders of the Science of Math group, explained that the primary purpose of the webpage and the article was to dispel the myth that timed tests and other timed activities cause anxiety. “We weren’t writing about how timing affects math performance,” he said via email. “Rather we were writing about whether timing causes math anxiety.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Confusing citations or not, the more pressing question for math teachers and parents is whether there is evidence in favor of timed tests. The U.S. Department of Education seems to side with the Science of Math folks and against the National Council of Teachers of Mathematics. A \u003c/span>\u003ca href=\"https://ies.ed.gov/ncee/wwc/Docs/PracticeGuide/WWC2021006-Math-PG.pdf\" target=\"_blank\" rel=\"noopener\">\u003cspan style=\"font-weight: 400\">2021 guide for teachers on how to assist elementary school students who struggle with math\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> recommends regular timed activities – not necessarily tests – to help children build fluency with addition, subtraction, multiplication and division. The What Works Clearinghouse, a unit of the Department of Education that vets research, and an expert panel found 27 studies to back timed practice and called that a “strong” level of evidence.\u003c/span>\u003c/p>\n\u003ch2>Games vs. the stopwatch\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400\">These 27 studies suggest that timed activities – not in isolation, but in conjunction with larger interventions – help children learn math. In one 2013 \u003c/span>\u003ca href=\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3779611/\" target=\"_blank\" rel=\"noopener\">\u003cspan style=\"font-weight: 400\">study\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">, struggling first graders received math tutoring three times a week and were split into two groups. One played untimed games to reinforce the lessons. The other was subjected to speed practice, where the children worked in groups to try to answer as many math flashcards correctly as possible within 60 seconds. Each time they were encouraged to “meet or beat” their previous score. After 16 weeks, the children in the speed practice group had much higher math achievement than the children who had played untimed games.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Children in the speed group answered more math facts correctly each day, the researchers found. The sheer volume of correct responses helped the children commit more math facts to long-term memory, according to Lynn Fuchs, who led the study. Cognitive scientists call that spaced retrieval practice, a proven way of building long-term memories, and children in the speed group got more of it. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“That gives children an advantage as they progress through the math curriculum,” said Fuchs, a professor of education at Vanderbilt University. “A lot of kids will develop fluency on their own without any fluency building practice. But to say we can’t do that in classrooms is to deny the opportunity to develop fluency for a significant portion of children.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Fuchs and other advocates question why timed practice is so controversial in math when it’s common in other fields. Musicians repeat scales by the rapid tick of a metronome and athletes do speed drills to build muscle memory. “In all walks of life, the strongest musicians, the most skillful athletes, they do drills and practice, drill and practice,” said Fuchs.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Opponents of timed tests also want children to automatically know that seven times eight is 56 instead of conceptually thinking it out each time (7+7+7+7+7+7+7+7), but they say that there are games and other less stressful ways to do it. Fuchs’s study is one of the few to directly test timed versus untimed conditions and we need more studies to replicate her findings before we can conclude that speed is considerably more effective and harmless to children.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Both sides of this debate are concerned with working memory, the ability to temporarily hold information in your head in order to process it, think and solve. One side worries that timed tests can produce so much anxiety that it overwhelms the working memory and prevents a child from learning. The other side wants to free up working memory to handle more complicated math problems by making basic arithmetic calculations automatic, and it believes the most effective road to automaticity is through speed drills. While the causes of math anxiety are debated and mysterious, many in the pro-drill camp suspect that children might feel less math anxiety if they became more proficient in the subject, which is something that drills might help accomplish.\u003c/span>\u003c/p>\n\u003ch2>Advice for math teachers\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400\">What can classroom teachers take away from this debate? I turned to a veteran researcher, Art Baroody, professor emeritus at the University of Illinois at Urbana-Champaign, who spent his career studying the best ways to teach counting, numbers and arithmetic concepts to young children.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">He agrees that timed tests can be used effectively, but he is apprehensive about a blanket recommendation for teachers to use them. “Timed tests are an educational tool and like any tool can be used to good, no, or bad effect,” he said. “Unfortunately, the tool is often misused with poor or even devastating results. I have seen the damage timed tests can do to some children.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Baroody thinks it’s critical that children first understand conceptually what addition and subtraction mean and develop number sense before they are given timed tests. Too often students are taught mathematical operations through rote memorization, like random numbers, he said, and arithmetic learned this way is easily forgotten, no matter how much it’s drilled.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">But once a child understands the math, he believes that timed worksheets are beneficial. Baroody said that if he were teaching in an elementary school classroom, he would administer timed tests at least once a week, and even more often depending on the topic and how much children have learned.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Fuchs is even more circumspect in her advice to teachers on how to use timed tests effectively without harming children in the process. Not only should students first master concepts, they should have already demonstrated that they know the correct answers in an untimed setting. “You don’t want to give students a page full of problems and they’re kind of lost,” said Fuchs. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Immediate feedback is important too. “When you make an error, your teacher or your partner can say, ‘Hey, let’s fix that’,” said Fuchs. “You want to stop a student when they make an error because what you’re trying to do is practice correct responses. You don’t want students to practice incorrect responses.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Advocates of timed practice disagree about the details. Some say students should be given long lists of calculations so that no one can finish in time and slam their pencils down, which leaves slower children feeling bad about themselves. However, Fuchs favors flashcards because she fears the sight of a long list of problems overwhelms some children. This is an area that needs more research to guide teachers on best practices.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">The Science of Math group concurs that not all timed practice is good, and says the research shows that timed activities or tests shouldn’t start until after a child can calculate accurately. They also say that teachers should never count these tests toward students’ grades; the tests should be low-stakes practice.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“Much like any instructional activity, if it is used inappropriately, it will yield minimal benefits and in some cases could be harmful,” said Peltier. Timing students on “a skill they don’t know – not only is this a waste of time, it also can be demoralizing and harmful. Imagine being timed to parallel park a car at the age of 16!” \u003c/span>\u003c/p>\n\u003cp>\u003c/p>\u003c/div>","attributes":{"named":{},"numeric":[]}},{"type":"component","content":"","name":"ad","attributes":{"named":{"label":"floatright"},"numeric":["floatright"]}},{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003c/p>\n\u003cp>\u003ci>\u003cspan style=\"font-weight: 400\">This story about \u003c/span>\u003c/i>\u003ca href=\"https://hechingerreport.org/proof-points-do-math-drills-help-children-learn/\" target=\"_blank\" rel=\"noopener\">\u003ci>\u003cspan style=\"font-weight: 400\">math drills\u003c/span>\u003c/i>\u003c/a>\u003ci>\u003cspan style=\"font-weight: 400\"> was written by Jill Barshay and produced by \u003c/span>\u003c/i>\u003ca href=\"https://hechingerreport.org/special-reports/higher-education/\" target=\"_blank\" rel=\"noopener\">\u003cspan style=\"font-weight: 400\">The Hechinger Report\u003c/span>\u003c/a>\u003ci>\u003cspan style=\"font-weight: 400\">, a nonprofit, independent news organization focused on inequality and innovation in education. Sign up for \u003c/span>\u003c/i>\u003ca href=\"https://hechingerreport.org/proofpoints/\" target=\"_blank\" rel=\"noopener\">\u003ci>\u003cspan style=\"font-weight: 400\">Proof Points\u003c/span>\u003c/i>\u003c/a>\u003ci>\u003cspan style=\"font-weight: 400\"> and other \u003c/span>\u003c/i>\u003ca href=\"https://hechingerreport.org/newsletters/\" target=\"_blank\" rel=\"noopener\">\u003ci>\u003cspan style=\"font-weight: 400\">Hechinger newsletters\u003c/span>\u003c/i>\u003c/a>\u003ci>\u003cspan style=\"font-weight: 400\">.\u003c/span>\u003c/i>\u003cspan style=\"font-weight: 400\"> \u003c/span>\u003c/p>\n\n\u003c/div>\u003c/p>","attributes":{"named":{},"numeric":[]}}],"link":"/mindshift/61712/do-math-drills-help-children-learn","authors":["byline_mindshift_61712"],"categories":["mindshift_21504"],"tags":["mindshift_20943","mindshift_392","mindshift_20893","mindshift_21641","mindshift_21640","mindshift_21541","mindshift_21094","mindshift_21642"],"featImg":"mindshift_61716","label":"mindshift"},"mindshift_60108":{"type":"posts","id":"mindshift_60108","meta":{"index":"posts_1716263798","site":"mindshift","id":"60108","score":null,"sort":[1669716039000]},"parent":0,"labelTerm":{"site":"mindshift"},"blocks":[],"publishDate":1669716039,"format":"standard","title":"Using “Dear Math” letters to overcome dread in math class","headTitle":"Using “Dear Math” letters to overcome dread in math class | KQED","content":"\u003cp>\u003ci>\u003cspan style=\"font-weight: 400\">Excerpted from \u003c/span>\u003c/i>\u003ca href=\"https://www.10publications.com/dear-math\">\u003cspan style=\"font-weight: 400\">Dear Math: Why Kids Hate Math And What Teachers Can Do About It \u003c/span>\u003c/a>\u003ci>\u003cspan style=\"font-weight: 400\">by Sarah Strong and Gigi Butterfield. Published by Times 10 Publications.\u003c/span>\u003c/i>\u003c/p>\n\u003ch2>The importance of mathematical identity work\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400\">As learning theorist Yrjo Engestrom (1995) stated, “Identity work is never ‘done,’ it is always ongoing. Although a person’s identity is not determinable, neither is the meaning-making involved in identity work entirely free but, instead, is mediated by the discourse and practices of people’s communal social activity systems.” Because of this, we create space for students to share the stories that formed them and for the possibility of evolution in those stories over the course of the year. The possibility of evolving is related to the idea of a growth mindset, and, while it’s not the only point, believing that success can be found is an important step. Even day to day, the ways students feel about themselves as mathematicians can shift dramatically, but we can design a class where they can flourish when we tune our eyes and ears to their stories and ways of being in a math class.\u003c/span>\u003c/p>\n\u003cp>\u003ci>\u003cspan style=\"font-weight: 400\">“Dear Math, I have hated math ever since third grade; it’s annoying and unenjoyable. It used to be that I liked math, but that all changed in third grade when we had to learn our times tables, and I was always stressing. I like normal multiplication, the kind where you can ACTUALLY take your time, but not this.” — Andrea, seventh grade\u003c/span>\u003c/i>\u003c/p>\n\u003ch2>Overcoming dread in the classroom\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400\">\u003cimg loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-60190\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2022/11/dearmath-800x1200.jpg\" alt=\"\" width=\"250\" height=\"375\" srcset=\"https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/dearmath-800x1200.jpg 800w, https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/dearmath-160x240.jpg 160w, https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/dearmath-768x1152.jpg 768w, https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/dearmath.jpg 960w\" sizes=\"(max-width: 250px) 100vw, 250px\">Isabela and I met when I was her teacher in her freshman year. As a student, she seemed driven and justice-oriented. As a mathematician, she was brilliant at organizing information and she asked many questions, yet she lacked confidence. One of the first times we met, she told me that she had test anxiety, and as we worked together, I noticed that her anxiety was pervasive in her work. She would rush to an answer, second-guess her thinking, and then her brain would “shut off” (her words), and her emotions would take over. In her sophomore year, she wrote a Dear Math letter in which she unpacked this anxiety and the resulting feeling of dread that was now a part of her heading to math class. Her letter that year read:\u003c/span>\u003c/p>\n\u003cp>\u003ci>\u003cspan style=\"font-weight: 400\">“I really like you. But you don’t come naturally to me. I have to work extra hard to understand and really conceptualize what you have to offer. There have been times where I have felt discouraged, frustrated, and exasperated, especially on tests, which is where I believe I can never fully express all of the things I know in a way that helps me be successful.” \u003c/span>\u003c/i>\u003c/p>\n\u003cp>[ad fullwidth]\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">By reading and responding to her Dear Math letter and giving her space to unpack her story and mathematical identity, Isabela’s teachers were able to dig deep into what was blocking her achievement and connections, and they highlighted her strengths. From there, they helped Isabela build a new story for herself about who she was as a mathematician.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">I had the opportunity to teach Isabela again her senior year, and, as we always do, Isabela wrote another Dear Math letter, reflecting on her mindset growth and identity during her high school experience. She wrote:\u003c/span>\u003c/p>\n\u003cp>\u003ci>\u003cspan style=\"font-weight: 400\">“While the term ‘math growth’ might inherently imply academic growth, I think for me it’s a lot more about a shift in attitude and my reactions when I am faced with challenges. I developed a sense of patience and open-mindedness for the first time ever. I no longer got as frustrated with myself when I didn’t understand something and would allow myself to take my time. As I reflect on my past experiences and emotions related to math, I can confidently say that I have a strong foundation. And this is a great amount of growth for me because two years ago when I wrote this letter as a sophomore, I could not say that I felt like I had a strong foundation in math.”\u003c/span>\u003c/i>\u003c/p>\n\u003ch2>Questions for prompting Dear Math letters:\u003c/h2>\n\u003col>\n\u003cli>\u003cspan style=\"font-weight: 400\"> Tell me about a time in elementary school when you felt successful in math class. What happened?\u003c/span>\u003c/li>\n\u003cli>\u003cspan style=\"font-weight: 400\"> Tell me about a time in elementary school when you struggled in math class. What happened?\u003c/span>\u003c/li>\n\u003cli>\u003cspan style=\"font-weight: 400\"> When your friends talk about math, what do they say or do?\u003c/span>\u003c/li>\n\u003cli>\u003cspan style=\"font-weight: 400\"> What is one way that math has helped you grow?\u003c/span>\u003c/li>\n\u003cli>\u003cspan style=\"font-weight: 400\"> What is one of your greatest mathematical strengths?\u003c/span>\u003c/li>\n\u003cli>\u003cspan style=\"font-weight: 400\"> What is one of your greatest mathematical challenges?\u003c/span>\u003c/li>\n\u003cli>\u003cspan style=\"font-weight: 400\"> How do you plan to engage with math in the future? (Going into a STEM field? Using math in your career? In your life? Tackling complex problems in a systematic way?)\u003c/span>\u003c/li>\n\u003cli>\u003cspan style=\"font-weight: 400\"> What can you thank math for?\u003c/span>\u003c/li>\n\u003cli>\u003cspan style=\"font-weight: 400\"> How would you change math classrooms?\u003c/span>\u003c/li>\n\u003cli>\u003cspan style=\"font-weight: 400\"> What would you like more of in math classes?\u003c/span>\u003c/li>\n\u003c/ol>\n\u003cp>\u003ca href=\"https://twitter.com/sstrong57\">\u003cspan style=\"font-weight: 400\">\u003cem>\u003cimg loading=\"lazy\" decoding=\"async\" class=\"wp-image-60170 alignleft\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2022/11/Sarah-Strong-800x1198.jpg\" alt=\"Sarah Strong\" width=\"250\" height=\"374\" srcset=\"https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/Sarah-Strong-800x1198.jpg 800w, https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/Sarah-Strong-1020x1528.jpg 1020w, https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/Sarah-Strong-160x240.jpg 160w, https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/Sarah-Strong-768x1150.jpg 768w, https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/Sarah-Strong-1025x1536.jpg 1025w, https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/Sarah-Strong-1367x2048.jpg 1367w, https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/Sarah-Strong-scaled.jpg 1709w\" sizes=\"(max-width: 250px) 100vw, 250px\">Sarah Strong\u003c/em>\u003c/span>\u003c/a>\u003cem>\u003cspan style=\"font-weight: 400\"> loves creating spaces for her children and adult students to share their math stories. She has taught math to students in grades 6-12 at High Tech High in San Diego and also to preservice math teachers in Math Methods and Deeper Learning in Math courses through the HTH Graduate School of Education. In all of these settings, she has found value in opening up her questioning to allow students to share their thoughts, feelings, and ideas in service of a more whole math community. Sarah has consulted with schools and districts around the country as they detrack their math programs and redesign their math classrooms to be more inclusive and center student thinking through practices like project-based learning. Sarah has presented at both CMC and NCTM multiple times on Math & PBL and Student Centered Assessment in math classes. She has authored a few journal articles (Improving Math at HTH with Improvement Science and Deeper Learning in Common Core Math Projects) and an EdWeek blog post on the impacts of traditional grading systems on student math identity development (Making Math about more than the numbers). She also authored a chapter of the book Hands and Minds on assessment. She recently founded a company called Mathematical Wholeness that works with individual clients and teachers in schools to help them unpack their math traumas and forge new relationships with mathematics. \u003c/span>\u003c/em>\u003c/p>\n\u003cp>[ad floatright]\u003c/p>\n\u003cp>\u003cem>\u003cspan style=\"font-weight: 400\">\u003cimg loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-60194 alignleft\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2022/11/Gigi-Headshot.jpg\" alt=\"Gigi Butterfield\" width=\"222\" height=\"232\" srcset=\"https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/Gigi-Headshot.jpg 222w, https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/Gigi-Headshot-160x167.jpg 160w\" sizes=\"(max-width: 222px) 100vw, 222px\">Gigi Butterfield is currently a freshman at Loyola Marymount University and attended Gary and Jeri-Ann Jacobs High Tech High in San Diego, CA for High School. She is recovering from her fraudulent fondness of mathematics and thrives in situations where she can explore math deeply and ask thoughtful questions of her peers and her teachers. She attended project based learning schools from age of five to eighteen, and is passionate about how PBL plays an integral role in revitalizing heavily antiquated math pedagogies. In HS, she was captain of the basketball team, head of student ambassadors, leader of model united nations, member of student senate, and is still a Jeopardy fanatic hoping to go into comedy writing in her future. No better start to a comedy career than with a dissertation on the reimagining of math education!\u003c/span>\u003c/em>\u003c/p>\n\n","stats":{"hasVideo":false,"hasChartOrMap":false,"hasAudio":false,"hasPolis":false,"wordCount":1205,"hasGoogleForm":false,"hasGallery":false,"hasHearkenModule":false,"iframeSrcs":[],"paragraphCount":12},"modified":1703019977,"excerpt":"Math anxiety is prevalent in American classrooms. In their book \"Dear Math,\" Sarah Strong and Gigi Butterfield share how writing letters to math can start conversations that help teachers unpack students' feelings about the subject.","headData":{"twImgId":"","twTitle":"","ogTitle":"","ogImgId":"","twDescription":"","description":"Writing letters to math can start conversations about a subject that causes many students anxiety.","socialDescription":"Writing letters to math can start conversations about a subject that causes many students anxiety.","title":"Using “Dear Math” letters to overcome dread in math class | KQED","ogDescription":"","schema":{"@context":"http://schema.org","@type":"Article","headline":"Using “Dear Math” letters to overcome dread in math class","datePublished":"2022-11-29T02:00:39-08:00","dateModified":"2023-12-19T13:06:17-08:00","image":"https://cdn.kqed.org/wp-content/uploads/2020/02/KQED-OG-Image@1x.png"}},"guestAuthors":[],"slug":"using-dear-math-letters-to-overcome-dread-in-math-class","status":"publish","excludeFromSiteSearch":"Include","sticky":false,"articleAge":"0","path":"/mindshift/60108/using-dear-math-letters-to-overcome-dread-in-math-class","audioTrackLength":null,"parsedContent":[{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003cp>\u003ci>\u003cspan style=\"font-weight: 400\">Excerpted from \u003c/span>\u003c/i>\u003ca href=\"https://www.10publications.com/dear-math\">\u003cspan style=\"font-weight: 400\">Dear Math: Why Kids Hate Math And What Teachers Can Do About It \u003c/span>\u003c/a>\u003ci>\u003cspan style=\"font-weight: 400\">by Sarah Strong and Gigi Butterfield. Published by Times 10 Publications.\u003c/span>\u003c/i>\u003c/p>\n\u003ch2>The importance of mathematical identity work\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400\">As learning theorist Yrjo Engestrom (1995) stated, “Identity work is never ‘done,’ it is always ongoing. Although a person’s identity is not determinable, neither is the meaning-making involved in identity work entirely free but, instead, is mediated by the discourse and practices of people’s communal social activity systems.” Because of this, we create space for students to share the stories that formed them and for the possibility of evolution in those stories over the course of the year. The possibility of evolving is related to the idea of a growth mindset, and, while it’s not the only point, believing that success can be found is an important step. Even day to day, the ways students feel about themselves as mathematicians can shift dramatically, but we can design a class where they can flourish when we tune our eyes and ears to their stories and ways of being in a math class.\u003c/span>\u003c/p>\n\u003cp>\u003ci>\u003cspan style=\"font-weight: 400\">“Dear Math, I have hated math ever since third grade; it’s annoying and unenjoyable. It used to be that I liked math, but that all changed in third grade when we had to learn our times tables, and I was always stressing. I like normal multiplication, the kind where you can ACTUALLY take your time, but not this.” — Andrea, seventh grade\u003c/span>\u003c/i>\u003c/p>\n\u003ch2>Overcoming dread in the classroom\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400\">\u003cimg loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-60190\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2022/11/dearmath-800x1200.jpg\" alt=\"\" width=\"250\" height=\"375\" srcset=\"https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/dearmath-800x1200.jpg 800w, https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/dearmath-160x240.jpg 160w, https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/dearmath-768x1152.jpg 768w, https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/dearmath.jpg 960w\" sizes=\"(max-width: 250px) 100vw, 250px\">Isabela and I met when I was her teacher in her freshman year. As a student, she seemed driven and justice-oriented. As a mathematician, she was brilliant at organizing information and she asked many questions, yet she lacked confidence. One of the first times we met, she told me that she had test anxiety, and as we worked together, I noticed that her anxiety was pervasive in her work. She would rush to an answer, second-guess her thinking, and then her brain would “shut off” (her words), and her emotions would take over. In her sophomore year, she wrote a Dear Math letter in which she unpacked this anxiety and the resulting feeling of dread that was now a part of her heading to math class. Her letter that year read:\u003c/span>\u003c/p>\n\u003cp>\u003ci>\u003cspan style=\"font-weight: 400\">“I really like you. But you don’t come naturally to me. I have to work extra hard to understand and really conceptualize what you have to offer. There have been times where I have felt discouraged, frustrated, and exasperated, especially on tests, which is where I believe I can never fully express all of the things I know in a way that helps me be successful.” \u003c/span>\u003c/i>\u003c/p>\n\u003cp>\u003c/p>\u003c/div>","attributes":{"named":{},"numeric":[]}},{"type":"component","content":"","name":"ad","attributes":{"named":{"label":"fullwidth"},"numeric":["fullwidth"]}},{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">By reading and responding to her Dear Math letter and giving her space to unpack her story and mathematical identity, Isabela’s teachers were able to dig deep into what was blocking her achievement and connections, and they highlighted her strengths. From there, they helped Isabela build a new story for herself about who she was as a mathematician.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">I had the opportunity to teach Isabela again her senior year, and, as we always do, Isabela wrote another Dear Math letter, reflecting on her mindset growth and identity during her high school experience. She wrote:\u003c/span>\u003c/p>\n\u003cp>\u003ci>\u003cspan style=\"font-weight: 400\">“While the term ‘math growth’ might inherently imply academic growth, I think for me it’s a lot more about a shift in attitude and my reactions when I am faced with challenges. I developed a sense of patience and open-mindedness for the first time ever. I no longer got as frustrated with myself when I didn’t understand something and would allow myself to take my time. As I reflect on my past experiences and emotions related to math, I can confidently say that I have a strong foundation. And this is a great amount of growth for me because two years ago when I wrote this letter as a sophomore, I could not say that I felt like I had a strong foundation in math.”\u003c/span>\u003c/i>\u003c/p>\n\u003ch2>Questions for prompting Dear Math letters:\u003c/h2>\n\u003col>\n\u003cli>\u003cspan style=\"font-weight: 400\"> Tell me about a time in elementary school when you felt successful in math class. What happened?\u003c/span>\u003c/li>\n\u003cli>\u003cspan style=\"font-weight: 400\"> Tell me about a time in elementary school when you struggled in math class. What happened?\u003c/span>\u003c/li>\n\u003cli>\u003cspan style=\"font-weight: 400\"> When your friends talk about math, what do they say or do?\u003c/span>\u003c/li>\n\u003cli>\u003cspan style=\"font-weight: 400\"> What is one way that math has helped you grow?\u003c/span>\u003c/li>\n\u003cli>\u003cspan style=\"font-weight: 400\"> What is one of your greatest mathematical strengths?\u003c/span>\u003c/li>\n\u003cli>\u003cspan style=\"font-weight: 400\"> What is one of your greatest mathematical challenges?\u003c/span>\u003c/li>\n\u003cli>\u003cspan style=\"font-weight: 400\"> How do you plan to engage with math in the future? (Going into a STEM field? Using math in your career? In your life? Tackling complex problems in a systematic way?)\u003c/span>\u003c/li>\n\u003cli>\u003cspan style=\"font-weight: 400\"> What can you thank math for?\u003c/span>\u003c/li>\n\u003cli>\u003cspan style=\"font-weight: 400\"> How would you change math classrooms?\u003c/span>\u003c/li>\n\u003cli>\u003cspan style=\"font-weight: 400\"> What would you like more of in math classes?\u003c/span>\u003c/li>\n\u003c/ol>\n\u003cp>\u003ca href=\"https://twitter.com/sstrong57\">\u003cspan style=\"font-weight: 400\">\u003cem>\u003cimg loading=\"lazy\" decoding=\"async\" class=\"wp-image-60170 alignleft\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2022/11/Sarah-Strong-800x1198.jpg\" alt=\"Sarah Strong\" width=\"250\" height=\"374\" srcset=\"https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/Sarah-Strong-800x1198.jpg 800w, https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/Sarah-Strong-1020x1528.jpg 1020w, https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/Sarah-Strong-160x240.jpg 160w, https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/Sarah-Strong-768x1150.jpg 768w, https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/Sarah-Strong-1025x1536.jpg 1025w, https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/Sarah-Strong-1367x2048.jpg 1367w, https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/Sarah-Strong-scaled.jpg 1709w\" sizes=\"(max-width: 250px) 100vw, 250px\">Sarah Strong\u003c/em>\u003c/span>\u003c/a>\u003cem>\u003cspan style=\"font-weight: 400\"> loves creating spaces for her children and adult students to share their math stories. She has taught math to students in grades 6-12 at High Tech High in San Diego and also to preservice math teachers in Math Methods and Deeper Learning in Math courses through the HTH Graduate School of Education. In all of these settings, she has found value in opening up her questioning to allow students to share their thoughts, feelings, and ideas in service of a more whole math community. Sarah has consulted with schools and districts around the country as they detrack their math programs and redesign their math classrooms to be more inclusive and center student thinking through practices like project-based learning. Sarah has presented at both CMC and NCTM multiple times on Math & PBL and Student Centered Assessment in math classes. She has authored a few journal articles (Improving Math at HTH with Improvement Science and Deeper Learning in Common Core Math Projects) and an EdWeek blog post on the impacts of traditional grading systems on student math identity development (Making Math about more than the numbers). She also authored a chapter of the book Hands and Minds on assessment. She recently founded a company called Mathematical Wholeness that works with individual clients and teachers in schools to help them unpack their math traumas and forge new relationships with mathematics. \u003c/span>\u003c/em>\u003c/p>\n\u003cp>\u003c/p>\u003c/div>","attributes":{"named":{},"numeric":[]}},{"type":"component","content":"","name":"ad","attributes":{"named":{"label":"floatright"},"numeric":["floatright"]}},{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003c/p>\n\u003cp>\u003cem>\u003cspan style=\"font-weight: 400\">\u003cimg loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-60194 alignleft\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2022/11/Gigi-Headshot.jpg\" alt=\"Gigi Butterfield\" width=\"222\" height=\"232\" srcset=\"https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/Gigi-Headshot.jpg 222w, https://cdn.kqed.org/wp-content/uploads/sites/23/2022/11/Gigi-Headshot-160x167.jpg 160w\" sizes=\"(max-width: 222px) 100vw, 222px\">Gigi Butterfield is currently a freshman at Loyola Marymount University and attended Gary and Jeri-Ann Jacobs High Tech High in San Diego, CA for High School. She is recovering from her fraudulent fondness of mathematics and thrives in situations where she can explore math deeply and ask thoughtful questions of her peers and her teachers. She attended project based learning schools from age of five to eighteen, and is passionate about how PBL plays an integral role in revitalizing heavily antiquated math pedagogies. In HS, she was captain of the basketball team, head of student ambassadors, leader of model united nations, member of student senate, and is still a Jeopardy fanatic hoping to go into comedy writing in her future. No better start to a comedy career than with a dissertation on the reimagining of math education!\u003c/span>\u003c/em>\u003c/p>\n\n\u003c/div>\u003c/p>","attributes":{"named":{},"numeric":[]}}],"link":"/mindshift/60108/using-dear-math-letters-to-overcome-dread-in-math-class","authors":["4354"],"categories":["mindshift_21491","mindshift_193"],"tags":["mindshift_146","mindshift_21341","mindshift_21015","mindshift_392","mindshift_20893"],"featImg":"mindshift_60416","label":"mindshift"},"mindshift_59420":{"type":"posts","id":"mindshift_59420","meta":{"index":"posts_1716263798","site":"mindshift","id":"59420","score":null,"sort":[1668996048000]},"parent":0,"labelTerm":{"site":"mindshift"},"blocks":[],"publishDate":1668996048,"format":"standard","disqusTitle":"Why students say STEM is hard and what educators can do about it","title":"Why students say STEM is hard and what educators can do about it","headTitle":"MindShift | KQED News","content":"\u003cp>\u003cem>The following is an excerpt from \"\u003ca href=\"https://www.amazon.com/STEM-STEAM-Make-Dream-Reimagining/dp/1328034283/ref=sr_1_1?keywords=stem%2C+steam%2C+make%2C+dream&qid=1652797003&sprefix=STEM%2C+ST%2Caps%2C102&sr=8-1\">STEM, STEAM, Make, Dream: Reimagining the Culture of Science, Technology, Engineering, and Mathematics\"\u003c/a> by Christopher Emdin, Ph.D. Copyright 2021 Houghton Mifflin Harcourt\u003c/em>\u003c/p>\n\u003cp>STEM ability is distributed evenly across the populace. STEM identity is created when that natural ability is fostered by human activity. We are at our very core scientific creatures, but we believe in our STEM selves when the world reinforces what we are. When you think about a baby being born, the very first set of knowledge they are using is scientific knowledge. They are smelling their environment and making observations in the world. They are not using English. They are not using history. They are using math and science. They are making observations, identifying patterns, testing hypotheses, and drawing conclusions. Once they start associating language with what they are seeing, they start expressing what is unfolding before them. There is magic in that unleashing, that revealing. This process is the foundation of STEM. This is what we need to build on in classrooms. Unfortunately, it is not what contemporary STEM education focuses on.\u003c/p>\n\u003cp>Today, if we ask young people, STEM is not about giving voice or language to observations and questions. The only thing it unleashes or reveals is that it is hard and not for everybody. Hundreds of interviews I have held with young people from urban classrooms about science reveal that many students simply believe that “science is hard.” Many of these students, particularly those who were not doing well in science or mathematics classrooms, also believe that the reason they are not doing well is that they are not “smart enough.” This idea of the “hardness” of science and, by proxy, STEM is important to deconstruct.\u003c/p>\n\u003cp>For many, the hardness of STEM is associated with it being academically challenging and with folks not being able to engage with it. In reality, the hardness is about the inflexibility of STEM and the fact that it does not bend to the needs of the person engaging with it. If I attempt to engage with a topic and find it hard, I blame myself without considering that there is something about the subject that is unapproachable. The perception is that the fault cannot possibly be with the academic subject or the methods used to teach it. This flawed approach to thinking about STEM does not consider the more expansive view of the concept of hardness and the notion that if the subject bends to me or my interests, I can forge a relationship to it that increases my desire to spend more time with it. Time spent equals familiarity. And familiarity eventually equals fluency in the language of the “hard” subject. What is hard becomes malleable enough to wrap around you once you are familiar with the language it speaks.\u003c/p>\n\u003cp>Make no mistake: this is not an argument for making subjects easier or less rigorous. Instead, it is an argument for making STEM subjects easier to embrace. It is about recognizing the traumas we create when we convince otherwise intelligent people that there are subjects too mentally challenging for them. This misstep overshadows the real issue, which is that the subject was likely presented poorly, spilling over with meanings attached to words like smart or hard.\u003c/p>\n\u003cfigure id=\"attachment_59421\" class=\"wp-caption alignleft\" style=\"max-width: 138px\">\u003cimg class=\" wp-image-59421\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2022/05/99Fig10-800x1200.jpg\" alt=\"\" width=\"138\" height=\"207\" srcset=\"https://ww2.kqed.org/app/uploads/sites/23/2022/05/99Fig10-800x1200.jpg 800w, https://ww2.kqed.org/app/uploads/sites/23/2022/05/99Fig10-1020x1530.jpg 1020w, https://ww2.kqed.org/app/uploads/sites/23/2022/05/99Fig10-160x240.jpg 160w, https://ww2.kqed.org/app/uploads/sites/23/2022/05/99Fig10-768x1152.jpg 768w, https://ww2.kqed.org/app/uploads/sites/23/2022/05/99Fig10-1024x1536.jpg 1024w, https://ww2.kqed.org/app/uploads/sites/23/2022/05/99Fig10-1365x2048.jpg 1365w, https://ww2.kqed.org/app/uploads/sites/23/2022/05/99Fig10-1920x2880.jpg 1920w, https://ww2.kqed.org/app/uploads/sites/23/2022/05/99Fig10-scaled.jpg 1707w\" sizes=\"(max-width: 138px) 100vw, 138px\">\u003cfigcaption class=\"wp-caption-text\">Author photo by Laura Yost (Courtesy of Houghton Mifflin Harcourt)\u003c/figcaption>\u003c/figure>\n\u003cp>\u003cem>Christopher Emdin is professor and program director of Science Education in the Department of Mathematics, Science, and Technology at Teachers College, Columbia University, where he also serves as associate director of the Institute for Urban and Minority Education. The creator of the #HipHopEd social media movement and the Science Genius program, he is the author of the New York Times bestseller \"\u003ca href=\"https://www.penguinrandomhouse.com/books/237679/for-white-folks-who-teach-in-the-hood-and-the-rest-of-yall-too-by-christopher-emdin/\">For White Folks Who Teach in the Hood . . . and the Rest of Y’all Too\u003c/a>\" and \"\u003ca href=\"https://chrisemdin.com/product/urban-science-education-for-the-hip-hop-generation-cultural-and-historical-perspectives-on-science-education/\">Urban Science Education for the Hip-Hop Generation\u003c/a>.\" You can follow him on Twitter at \u003ca href=\"https://twitter.com/chrisemdin?ref_src=twsrc%5Egoogle%7Ctwcamp%5Eserp%7Ctwgr%5Eauthor\">@chrisemdin\u003c/a>.\u003c/em>\u003c/p>\n\u003cp>[ad fullwidth]\u003c/p>\u003cp>\u003c/p>\n","disqusIdentifier":"59420 https://ww2.kqed.org/mindshift/?p=59420","disqusUrl":"https://ww2.kqed.org/mindshift/2022/11/20/why-students-say-stem-is-hard-and-what-educators-can-do-about-it/","stats":{"hasVideo":false,"hasChartOrMap":false,"hasAudio":false,"hasPolis":false,"wordCount":660,"hasGoogleForm":false,"hasGallery":false,"hasHearkenModule":false,"iframeSrcs":[],"paragraphCount":8},"modified":1669033770,"excerpt":"In his new book \"STEM, STEAM, Make, Dream: Reimagining the Culture of Science, Technology, Engineering, and Mathematics,\" author Christopher Emdin explains how teachers can renew students' interest in science and math subjects.","headData":{"twImgId":"","twTitle":"","ogTitle":"","ogImgId":"","twDescription":"","description":"How can teachers renew students' interest in science and math? Author Christopher Emdin explains in his new book "STEM, STEAM, Make, Dream: Reimagining the Culture of Science, Technology, Engineering, and Mathematics."","title":"Why students say STEM is hard and what educators can do about it - MindShift","ogDescription":"","schema":{"@context":"http://schema.org","@type":"Article","headline":"Why students say STEM is hard and what educators can do about it","datePublished":"2022-11-20T18:00:48-08:00","dateModified":"2022-11-21T04:29:30-08:00","image":"https://cdn.kqed.org/wp-content/uploads/2020/02/KQED-OG-Image@1x.png"}},"guestAuthors":[],"slug":"why-students-say-stem-is-hard-and-what-educators-can-do-about-it","status":"publish","excludeFromSiteSearch":"Include","path":"/mindshift/59420/why-students-say-stem-is-hard-and-what-educators-can-do-about-it","audioTrackLength":null,"parsedContent":[{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003cp>\u003cem>The following is an excerpt from \"\u003ca href=\"https://www.amazon.com/STEM-STEAM-Make-Dream-Reimagining/dp/1328034283/ref=sr_1_1?keywords=stem%2C+steam%2C+make%2C+dream&qid=1652797003&sprefix=STEM%2C+ST%2Caps%2C102&sr=8-1\">STEM, STEAM, Make, Dream: Reimagining the Culture of Science, Technology, Engineering, and Mathematics\"\u003c/a> by Christopher Emdin, Ph.D. Copyright 2021 Houghton Mifflin Harcourt\u003c/em>\u003c/p>\n\u003cp>STEM ability is distributed evenly across the populace. STEM identity is created when that natural ability is fostered by human activity. We are at our very core scientific creatures, but we believe in our STEM selves when the world reinforces what we are. When you think about a baby being born, the very first set of knowledge they are using is scientific knowledge. They are smelling their environment and making observations in the world. They are not using English. They are not using history. They are using math and science. They are making observations, identifying patterns, testing hypotheses, and drawing conclusions. Once they start associating language with what they are seeing, they start expressing what is unfolding before them. There is magic in that unleashing, that revealing. This process is the foundation of STEM. This is what we need to build on in classrooms. Unfortunately, it is not what contemporary STEM education focuses on.\u003c/p>\n\u003cp>Today, if we ask young people, STEM is not about giving voice or language to observations and questions. The only thing it unleashes or reveals is that it is hard and not for everybody. Hundreds of interviews I have held with young people from urban classrooms about science reveal that many students simply believe that “science is hard.” Many of these students, particularly those who were not doing well in science or mathematics classrooms, also believe that the reason they are not doing well is that they are not “smart enough.” This idea of the “hardness” of science and, by proxy, STEM is important to deconstruct.\u003c/p>\n\u003cp>For many, the hardness of STEM is associated with it being academically challenging and with folks not being able to engage with it. In reality, the hardness is about the inflexibility of STEM and the fact that it does not bend to the needs of the person engaging with it. If I attempt to engage with a topic and find it hard, I blame myself without considering that there is something about the subject that is unapproachable. The perception is that the fault cannot possibly be with the academic subject or the methods used to teach it. This flawed approach to thinking about STEM does not consider the more expansive view of the concept of hardness and the notion that if the subject bends to me or my interests, I can forge a relationship to it that increases my desire to spend more time with it. Time spent equals familiarity. And familiarity eventually equals fluency in the language of the “hard” subject. What is hard becomes malleable enough to wrap around you once you are familiar with the language it speaks.\u003c/p>\n\u003cp>Make no mistake: this is not an argument for making subjects easier or less rigorous. Instead, it is an argument for making STEM subjects easier to embrace. It is about recognizing the traumas we create when we convince otherwise intelligent people that there are subjects too mentally challenging for them. This misstep overshadows the real issue, which is that the subject was likely presented poorly, spilling over with meanings attached to words like smart or hard.\u003c/p>\n\u003cfigure id=\"attachment_59421\" class=\"wp-caption alignleft\" style=\"max-width: 138px\">\u003cimg class=\" wp-image-59421\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2022/05/99Fig10-800x1200.jpg\" alt=\"\" width=\"138\" height=\"207\" srcset=\"https://ww2.kqed.org/app/uploads/sites/23/2022/05/99Fig10-800x1200.jpg 800w, https://ww2.kqed.org/app/uploads/sites/23/2022/05/99Fig10-1020x1530.jpg 1020w, https://ww2.kqed.org/app/uploads/sites/23/2022/05/99Fig10-160x240.jpg 160w, https://ww2.kqed.org/app/uploads/sites/23/2022/05/99Fig10-768x1152.jpg 768w, https://ww2.kqed.org/app/uploads/sites/23/2022/05/99Fig10-1024x1536.jpg 1024w, https://ww2.kqed.org/app/uploads/sites/23/2022/05/99Fig10-1365x2048.jpg 1365w, https://ww2.kqed.org/app/uploads/sites/23/2022/05/99Fig10-1920x2880.jpg 1920w, https://ww2.kqed.org/app/uploads/sites/23/2022/05/99Fig10-scaled.jpg 1707w\" sizes=\"(max-width: 138px) 100vw, 138px\">\u003cfigcaption class=\"wp-caption-text\">Author photo by Laura Yost (Courtesy of Houghton Mifflin Harcourt)\u003c/figcaption>\u003c/figure>\n\u003cp>\u003cem>Christopher Emdin is professor and program director of Science Education in the Department of Mathematics, Science, and Technology at Teachers College, Columbia University, where he also serves as associate director of the Institute for Urban and Minority Education. The creator of the #HipHopEd social media movement and the Science Genius program, he is the author of the New York Times bestseller \"\u003ca href=\"https://www.penguinrandomhouse.com/books/237679/for-white-folks-who-teach-in-the-hood-and-the-rest-of-yall-too-by-christopher-emdin/\">For White Folks Who Teach in the Hood . . . and the Rest of Y’all Too\u003c/a>\" and \"\u003ca href=\"https://chrisemdin.com/product/urban-science-education-for-the-hip-hop-generation-cultural-and-historical-perspectives-on-science-education/\">Urban Science Education for the Hip-Hop Generation\u003c/a>.\" You can follow him on Twitter at \u003ca href=\"https://twitter.com/chrisemdin?ref_src=twsrc%5Egoogle%7Ctwcamp%5Eserp%7Ctwgr%5Eauthor\">@chrisemdin\u003c/a>.\u003c/em>\u003c/p>\n\u003cp>\u003c/p>\u003c/div>","attributes":{"named":{},"numeric":[]}},{"type":"component","content":"","name":"ad","attributes":{"named":{"label":"fullwidth"},"numeric":["fullwidth"]}},{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003c/p>\u003cp>\u003c/p>\n\u003c/div>\u003c/p>","attributes":{"named":{},"numeric":[]}}],"link":"/mindshift/59420/why-students-say-stem-is-hard-and-what-educators-can-do-about-it","authors":["11721"],"categories":["mindshift_21491"],"tags":["mindshift_21341","mindshift_392","mindshift_20893","mindshift_551","mindshift_47","mindshift_391"],"featImg":"mindshift_59422","label":"mindshift"},"mindshift_58326":{"type":"posts","id":"mindshift_58326","meta":{"index":"posts_1716263798","site":"mindshift","id":"58326","score":null,"sort":[1629191378000]},"guestAuthors":[],"slug":"could-data-science-diversify-the-stem-field-why-courses-designed-this-century-feel-so-relevant-to-all-students","title":"Could Data Science Diversify the STEM Field? Why Courses Designed This Century Feel so Relevant to All Students","publishDate":1629191378,"format":"audio","headTitle":"Could Data Science Diversify the STEM Field? Why Courses Designed This Century Feel so Relevant to All Students | KQED","labelTerm":{"term":21942,"site":"mindshift"},"content":"\u003cp>\u003cem>You can listen to this episode of the MindShift Podcast on \u003cstrong>\u003ca href=\"https://podcasts.apple.com/us/podcast/could-data-science-diversify-the-stem-field/id1078765985?i=1000532256214\">Apple Podcasts\u003c/a>, \u003ca href=\"https://podcasts.google.com/feed/aHR0cHM6Ly9mZWVkcy5tZWdhcGhvbmUuZm0vS1FJTkM1NzY0NjAwNDI5/episode/NjA5YWUxMDAtMTRkNS0xMWVjLTkyZGQtZmJmZThkOWZiZGY5?sa=X&ved=0CAcQkfYCahcKEwigsp2Qp__yAhUAAAAAHQAAAAAQcQ&hl=en\">Google Podcasts\u003c/a>, \u003ca href=\"https://www.npr.org/podcasts/464615685/mind-shift-podcast\">NPR One\u003c/a>, \u003ca href=\"https://open.spotify.com/episode/2HCGMMmYrXNYHTl0Hro7DW?si=VTdbD-qCSZmoHdSJ0IFcUw&dl_branch=1\">Spotify\u003c/a>, \u003c/strong>\u003ca href=\"https://www.stitcher.com/show/stories-teachers-share/episode/could-data-science-diversify-the-stem-field-86155696\">\u003cstrong>Stitcher\u003c/strong>\u003c/a> or wherever you get your podcasts.\u003c/em>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">There are many reasons students don’t like math: stressful timed tests, right and wrong answers, \u003ca href=\"https://www.kqed.org/mindshift/45012/how-a-strengths-based-approach-to-math-redefines-who-is-smart\">isolated work\u003c/a>, math \u003ca href=\"https://www.kqed.org/mindshift/52749/how-to-make-sure-your-math-anxiety-doesnt-make-your-kids-hate-math\">anxiety\u003c/a> learned from adults around you.\u003c/span>\u003cspan style=\"font-weight: 400\"> A 2012 PISA \u003c/span>\u003ca href=\"https://www.oecd.org/pisa/keyfindings/PISA2012-Vol3-Chap4.pdf\">\u003cspan style=\"font-weight: 400\">survey\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> found that one third of high school students feel helpless and emotionally stressed when doing math. And if you don’t see people who look like you succeeding in a subject or a field, it can be isolating, especially for young people. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“\u003c/span>\u003cspan style=\"font-weight: 400\">Something that’s really important, particularly for adolescents and high school students, is that they feel a sense of belonging inside STEM,” said Stanford maths education professor Jo Boaler. \u003c/span>\u003c/p>\n\u003cp>\u003ca href=\"https://www.hewlett.org/wp-content/uploads/2016/08/Academic_Mindsets_as_a_Critical_Component_of_Deeper_Learning_CAMILLE_FARRINGTON_April_20_2013.pdf\">\u003cspan style=\"font-weight: 400\">R\u003c/span>\u003c/a>\u003ca href=\"https://www.hewlett.org/wp-content/uploads/2016/08/Academic_Mindsets_as_a_Critical_Component_of_Deeper_Learning_CAMILLE_FARRINGTON_April_20_2013.pdf\">\u003cspan style=\"font-weight: 400\">esearchers\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> have found that a sense of belonging helps students succeed, in part because feeling like you’re a part of a community of learners is a powerful motivator to do well. “And unfortunately, a lot of students do not feel that they belong inside traditional high school maths classes,” said Boaler.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">But there is one subject that students, including those who are math confident, enjoy learning: data science. As of 2020, \u003c/span>\u003ca href=\"https://edsource.org/2020/university-of-california-expands-list-of-courses-that-meet-math-requirement-for-admission/643173\">\u003cspan style=\"font-weight: 400\">data science is accepted math coursework\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> for University of California and Cal State University’s A-G requirements, so students might see it offered in more schools.\u003c/span>\u003c/p>\n\u003cp>[ad fullwidth]\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Over the last decade, teams of teachers, researchers and academics have been developing data science curriculum and tools for the classroom, and having a modern approach to teaching is resonating with students. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“It’s kind of a unique opportunity because there wasn’t a high school data science course before,” said Suyen Machado, director of the \u003c/span>\u003ca href=\"https://www.idsucla.org/\">\u003cspan style=\"font-weight: 400\">Introduction to Data Science\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> program, which was started as a partnership between UCLA and the Los Angeles Unified School District nearly ten years ago. The program was funded with a National Science Foundation grant to increase the amount of students going into STEM careers and to bring computational and statistical thinking to underrepresented high school students, according to Machado. \u003c/span>\u003c/p>\n\u003cp>\u003c!-- iframe plugin v.4.3 wordpress.org/plugins/iframe/ -->\u003cbr>\n\u003ciframe loading=\"lazy\" frameborder=\"0\" height=\"200\" scrolling=\"no\" src=\"https://playlist.megaphone.fm?e=KQINC1092079008\" width=\"100%\" class=\"iframe-class\">\u003c/iframe>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“Engaging lessons that are inquiry driven, student driven and collaborative are really well suited for underrepresented groups, and you will find all of that in our \u003c/span>\u003ca href=\"https://curriculum.idsucla.org/\">\u003cspan style=\"font-weight: 400\">curriculum\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. And they’re good for students in general,” Machado said. \u003c/span>\u003c/p>\n\u003ch2>\u003cb>REAL WORLD USES\u003c/b>\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400\">The data science curriculum gives students opportunities to look at real data instead of abstract formulas. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“It’s just so much fun,” said \u003c/span>\u003cspan style=\"font-weight: 400\">James Molyneux, a professor at Oregon State University who was involved in the development of IDS. For example, students can collect their data and compare themselves to larger government data sets, like the American \u003c/span>\u003ca href=\"https://www.bls.gov/news.release/pdf/atus.pdf\">\u003cspan style=\"font-weight: 400\">Time Use Survey\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> from the Bureau of Labor Statistics. Students can measure how much time they spend grooming, eating, being with family and consuming social media, according to Molyneux. \u003c/span>\u003c/p>\n\u003cfigure id=\"attachment_58333\" class=\"wp-caption alignnone\" style=\"max-width: 1024px\">\u003cimg loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-58333\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2021/08/IMG_9804.jpg\" alt=\"\" width=\"1024\" height=\"629\" srcset=\"https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/IMG_9804.jpg 1024w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/IMG_9804-800x491.jpg 800w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/IMG_9804-1020x627.jpg 1020w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/IMG_9804-160x98.jpg 160w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/IMG_9804-768x472.jpg 768w\" sizes=\"(max-width: 1024px) 100vw, 1024px\">\u003cfigcaption class=\"wp-caption-text\">A snapshot of students in Ding-ay Tadena’s class. \u003ccite>(Courtesy of Ding-ay Tadena)\u003c/cite>\u003c/figcaption>\u003c/figure>\n\u003cp>\u003cspan style=\"font-weight: 400\">Among students, there’s a growing interest in data sets, such as \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/56450/how-culturally-relevant-teaching-can-build-relationships-while-students-are-home\">\u003cspan style=\"font-weight: 400\">pollution\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> in \u003c/span>\u003ca href=\"https://iase-web.org/documents/papers/rt2016/Gould.pdf\">\u003cspan style=\"font-weight: 400\">school communities\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> and which \u003c/span>\u003ca href=\"https://curriculum.idsucla.org/unit2/lab2e/\">\u003cspan style=\"font-weight: 400\">gender\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> character is most likely to survive a horror film. For IDS participants, the most popular data project involves \u003ca href=\"https://curriculum.idsucla.org/unit1/lesson6/\">snacks\u003c/a>. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“It honestly made me more aware of what I was taking in and putting in my body,” said student Linda Solares of Leuzinger High School of the snack project. Not to worry, the unit is not about encouraging weight loss or anything. Students used the IDS app to track information like the amount of salt, sugar content, cost, number of ingredients or their reasons for eating.\u003cbr>\n\u003c/span>\u003cspan style=\"font-weight: 400\">\u003cbr>\n\u003c/span>\u003cspan style=\"font-weight: 400\">“We’re in quarantine, \u003c/span>\u003cspan style=\"font-weight: 400\">we’re eating a lot more out of boredom and stuff. So honestly, it really helped me,” said Solares. “After I finished the survey, I was like, whoa,” she said, “I was really eating not so healthy.”\u003c/span>\u003c/p>\n\u003cp>\u003ca href=\"https://drive.google.com/file/d/0B1Nho2Ty0ZnYbE5wT1FCU2RtZExSN290WVJsM0htc0NqbzFn/view?resourcekey=0-VL7HSox62czWW_XB9gGXYw\">\u003cspan style=\"font-weight: 400\">Surveys\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> of IDS students in LAUSD found that coding was the most challenging part of the course, but also, the most important skill students learned. Using programming tools, like RStudio, they persisted by trying over and over again to get their code right. And that helped boost confidence in their ability to problem solve. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“The lab is a lesson for us to learn about the codes and how we can implement them in certain situations,” said Leuzinger student Peter Tran, who would \u003c/span>\u003ca href=\"https://curriculum.idsucla.org/table/\">\u003cspan style=\"font-weight: 400\">test\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> different variables against one another, like finding the most common time of day students ate unhealthy snacks. \u003c/span>\u003c/p>\n\u003cp>An important part of the data science curriculum is understanding privacy matters, and knowing how data is collected about people and used against them. This knowledge can help develop a person’s media literacy.\u003c/p>\n\u003cp>“There’s a lot of misinformation out there,” said Boaler. “Having students develop a critical perspective – that’s one of the things we can teach in data science. Be skeptical of data that’s put in front of you, ask questions of it, think about who put that data together, what purpose did they have for it.”\u003c/p>\n\u003ch2>\u003cb>LEARNING GETS MESSY\u003c/b>\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400\">The messiness of the data sets is part of the appeal for students; it’s what engages them in learning and not shying away from unknown outcomes, according to \u003ca href=\"https://concord.org/data-fluency/\">Concord Consortium\u003c/a>’s Chad Dorsey. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“It’s almost sort of pre-chewed and preordained,” said Dorsey of traditional curriculum that doesn’t engage students. “And when we do that, we take a lot of the discovery away. We’re finding the value in putting students into the place of needing to ask and answer questions with data that might be ambiguous or that might have a missing value,” said Dorsey. As part of an NSF grant, the group developed the free CODAP tool so teachers can integrate data skills into their classes, such as science. The group also provides teachers with professional development. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“We’re finding the value of putting students in the driver’s seat to do the exploration themselves, to uncover new things in the data that maybe the teachers didn’t understand was there in the first place and where students are finding something different than their neighbors,” said Dorsey.\u003c/span>\u003c/p>\n\u003cp>https://www.youtube.com/watch?v=nAwu2x6HPNg\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">For Leuzinger High School IDS t\u003c/span>\u003cspan style=\"font-weight: 400\">eacher Ding-ay Tadena, that has meant giving students agency over the topics they want to investigate, such as sports. “They learn how to think deeper and then use these math skills and eventually they love it,” says Tadena, who has seen students of all math levels succeed in data science. She says that in data science class, students see themselves as more than the math track they’re in. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“It taught them how to dream bigger rather than just being profiled as lower performing in terms of math,” she said. “And that is the beauty of it because you teach them how to code, how to do this data, how to scrape data from the internet and push it in R in the field that interests them.” Tadena, who has been teaching math for about two decades, says data science is in many ways a re\u003c/span>\u003cspan style=\"font-weight: 400\">spite for math teachers like herself who are looking for ways to engage their students. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“The students are so interested,” Tadena said. “They’re so into it.” \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">For science teacher \u003c/span>\u003ca href=\"https://concord.org/blog/never-stop-learning/\">\u003cspan style=\"font-weight: 400\">Emerlyn Gatchalian\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">, having Concord Consortium’s CODAP tool makes understanding the periodic table easier for some of her students. “They’re looking at the different properties of elements in the periodic table using data like the atomic size, ionic size,” she said. “Because they’re using data using CODAP, it’s so easy for them to look for patterns and trends and make them feel that they can actually understand and interpret data instead of using all the equations that they’re learning in math.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">For high school special education teacher \u003c/span>\u003ca href=\"https://concord.org/blog/the-science-teacher-accessible-physics-for-all/\">\u003cspan style=\"font-weight: 400\">Michelle Murtha\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">, students’ ability to graph their data using digital tools helped them understand it. “Sometimes, graphing itself is so hard for the students. But because the program helps them through it,” she said, “they’re able to actually see the graph. And for us, that’s more important, so they can actually analyze the data versus, ‘can you plot this point?’”\u003c/span>\u003c/p>\n\u003cp>\u003cstrong>REDEFINING HIGH SCHOOL\u003c/strong>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">When Emilio Jaime was a student at Phineas Banning High School, he was on track to take AP Calculus his senior year. He had been confident about math throughout school, but decided to take IDS based on a teacher’s suggestion. Plus, one less AP class would help ease his senior year course load. \u003c/span>\u003c/p>\n\u003cp>\u003cb>\u003c/b>“I decided to let go of calculus and took on IDS, which I’m so glad I did, because I guess I was just scared because it wasn’t the norm that students were doing,\u003cem>” \u003c/em>said Jaime, who graduated from UC Berkeley last spring.\u003c/p>\n\u003cfigure id=\"attachment_58348\" class=\"wp-caption alignnone\" style=\"max-width: 1136px\">\u003cimg loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-58348\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2021/08/Emilio-Jaime-2.png\" alt=\"\" width=\"1136\" height=\"1702\" srcset=\"https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/Emilio-Jaime-2.png 1136w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/Emilio-Jaime-2-800x1199.png 800w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/Emilio-Jaime-2-1020x1528.png 1020w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/Emilio-Jaime-2-160x240.png 160w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/Emilio-Jaime-2-768x1151.png 768w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/Emilio-Jaime-2-1025x1536.png 1025w\" sizes=\"(max-width: 1136px) 100vw, 1136px\">\u003cfigcaption class=\"wp-caption-text\">Emilio Jaime \u003ccite>(Courtesy of Emilio Jaime)\u003c/cite>\u003c/figcaption>\u003c/figure>\n\u003cp>\u003cspan style=\"font-weight: 400\">What he liked about data science was the ability to play with formulas and not feel limited by right and wrong answers that were the hallmark of his math education. “This is how the formula is, and this is the answer, and there is a wrong answer,” he said of his earlier relationship to math. But data science was more fluid. “On our projects, I tried so many different graphs and so many different solutions to try to create so many different conclusions.” \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“I think IDS and data science really allows students to try different things without being scared to fail,” he said. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">IDS trains teachers across the country and abroad on how to teach data science as a course. It’s one of several programs, including ones operated by the \u003ca href=\"https://concord.org/data-fluency/\">Concord Consortium\u003c/a> and Boaler’s \u003ca href=\"https://www.youcubed.org/resource/data-literacy/\">YouCubed\u003c/a>. The outcome of getting more underrepresented students in the STEM field has yet to be seen. But for now, these educators are shifting students’ experiences with STEM to increase the odds that they’ll stay. \u003c/span>\u003c/p>\n\u003cfigure id=\"attachment_58330\" class=\"wp-caption alignnone\" style=\"max-width: 800px\">\u003cimg loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-58330\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2021/08/IMG_9812.jpg\" alt=\"\" width=\"800\" height=\"600\" srcset=\"https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/IMG_9812.jpg 800w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/IMG_9812-160x120.jpg 160w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/IMG_9812-768x576.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\">\u003cfigcaption class=\"wp-caption-text\">Students in Ding-ay Tadena’s data science class. \u003ccite>(Courtesy of Ding-ay Tadena)\u003c/cite>\u003c/figcaption>\u003c/figure>\n\u003cp>\u003cspan style=\"font-weight: 400\">All of these skills will hopefully help students become better informed members of society. \u003c/span>\u003c/p>\n\u003cp>\u003c!-- iframe plugin v.4.3 wordpress.org/plugins/iframe/ -->\u003cbr>\n\u003ciframe loading=\"lazy\" frameborder=\"0\" height=\"200\" scrolling=\"no\" src=\"https://playlist.megaphone.fm?e=KQINC1092079008\" width=\"100%\" class=\"iframe-class\">\u003c/iframe>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“I think that’s the biggest gift that we can give students right now – no matter how we’re doing it – is to help them understand that there are data all around them, that those data have answers, that they come from people, and that the things that they are doing are generating data all over, and to give them the ability to start to feel empowered to work with this data themselves,” said Dorsey. \u003c/span>\u003c/p>\n\u003cp>[ad floatright]\u003c/p>\n\u003cp>\u003cstrong>Subscribe to the MindShift Podcast in your favorite podcast app so you won’t miss a single episode. You can listen on \u003ca href=\"https://podcasts.apple.com/us/podcast/mindshift-podcast/id1078765985\">Apple Podcasts\u003c/a>, \u003ca href=\"https://play.google.com/music/listen?u=0#/ps/I4hhfs3azg3avjzbuowzeal5sze\">Google Podcasts\u003c/a>, \u003ca href=\"https://www.npr.org/podcasts/464615685/mind-shift-podcast\">NPR One\u003c/a>, \u003ca href=\"https://open.spotify.com/show/0MxSpNYZKNprFLCl7eEtyx\">Spotify\u003c/a>, \u003ca href=\"https://www.stitcher.com/podcast/kqed/stories-teachers-share\">Stitcher\u003c/a> or wherever you get your podcasts. \u003c/strong>\u003c/p>\n\n","blocks":[],"excerpt":"There’s a growing movement to teach data science in schools and students are enjoying it. Some experts hope data science will disrupt maths education and lead to more diversity in STEM. ","status":"publish","parent":0,"modified":1726872495,"stats":{"hasAudio":true,"hasVideo":true,"hasChartOrMap":false,"iframeSrcs":[],"hasGoogleForm":false,"hasGallery":false,"hasHearkenModule":false,"hasPolis":false,"paragraphCount":37,"wordCount":1913},"headData":{"title":"Could Data Science Diversify the STEM Field? Why Courses Designed This Century Feel so Relevant to All Students | KQED","description":"There’s a growing movement to teach data science in schools and students are enjoying it. Some experts hope data science will disrupt maths education and lead to more diversity in STEM. ","ogTitle":"","ogDescription":"","ogImgId":"","twTitle":"","twDescription":"","twImgId":"","schema":{"@context":"http://schema.org","@type":"Article","headline":"Could Data Science Diversify the STEM Field? Why Courses Designed This Century Feel so Relevant to All Students","datePublished":"2021-08-17T02:09:38-07:00","dateModified":"2024-09-20T15:48:15-07:00","image":"https://cdn.kqed.org/wp-content/uploads/2020/02/KQED-OG-Image@1x.png"}},"audioUrl":"https://www.podtrac.com/pts/redirect.mp3/traffic.megaphone.fm/KQINC1092079008.mp3?updated=1628203037","sticky":false,"path":"/mindshift/58326/could-data-science-diversify-the-stem-field-why-courses-designed-this-century-feel-so-relevant-to-all-students","audioTrackLength":null,"parsedContent":[{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003cp>\u003cem>You can listen to this episode of the MindShift Podcast on \u003cstrong>\u003ca href=\"https://podcasts.apple.com/us/podcast/could-data-science-diversify-the-stem-field/id1078765985?i=1000532256214\">Apple Podcasts\u003c/a>, \u003ca href=\"https://podcasts.google.com/feed/aHR0cHM6Ly9mZWVkcy5tZWdhcGhvbmUuZm0vS1FJTkM1NzY0NjAwNDI5/episode/NjA5YWUxMDAtMTRkNS0xMWVjLTkyZGQtZmJmZThkOWZiZGY5?sa=X&ved=0CAcQkfYCahcKEwigsp2Qp__yAhUAAAAAHQAAAAAQcQ&hl=en\">Google Podcasts\u003c/a>, \u003ca href=\"https://www.npr.org/podcasts/464615685/mind-shift-podcast\">NPR One\u003c/a>, \u003ca href=\"https://open.spotify.com/episode/2HCGMMmYrXNYHTl0Hro7DW?si=VTdbD-qCSZmoHdSJ0IFcUw&dl_branch=1\">Spotify\u003c/a>, \u003c/strong>\u003ca href=\"https://www.stitcher.com/show/stories-teachers-share/episode/could-data-science-diversify-the-stem-field-86155696\">\u003cstrong>Stitcher\u003c/strong>\u003c/a> or wherever you get your podcasts.\u003c/em>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">There are many reasons students don’t like math: stressful timed tests, right and wrong answers, \u003ca href=\"https://www.kqed.org/mindshift/45012/how-a-strengths-based-approach-to-math-redefines-who-is-smart\">isolated work\u003c/a>, math \u003ca href=\"https://www.kqed.org/mindshift/52749/how-to-make-sure-your-math-anxiety-doesnt-make-your-kids-hate-math\">anxiety\u003c/a> learned from adults around you.\u003c/span>\u003cspan style=\"font-weight: 400\"> A 2012 PISA \u003c/span>\u003ca href=\"https://www.oecd.org/pisa/keyfindings/PISA2012-Vol3-Chap4.pdf\">\u003cspan style=\"font-weight: 400\">survey\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> found that one third of high school students feel helpless and emotionally stressed when doing math. And if you don’t see people who look like you succeeding in a subject or a field, it can be isolating, especially for young people. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“\u003c/span>\u003cspan style=\"font-weight: 400\">Something that’s really important, particularly for adolescents and high school students, is that they feel a sense of belonging inside STEM,” said Stanford maths education professor Jo Boaler. \u003c/span>\u003c/p>\n\u003cp>\u003ca href=\"https://www.hewlett.org/wp-content/uploads/2016/08/Academic_Mindsets_as_a_Critical_Component_of_Deeper_Learning_CAMILLE_FARRINGTON_April_20_2013.pdf\">\u003cspan style=\"font-weight: 400\">R\u003c/span>\u003c/a>\u003ca href=\"https://www.hewlett.org/wp-content/uploads/2016/08/Academic_Mindsets_as_a_Critical_Component_of_Deeper_Learning_CAMILLE_FARRINGTON_April_20_2013.pdf\">\u003cspan style=\"font-weight: 400\">esearchers\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> have found that a sense of belonging helps students succeed, in part because feeling like you’re a part of a community of learners is a powerful motivator to do well. “And unfortunately, a lot of students do not feel that they belong inside traditional high school maths classes,” said Boaler.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">But there is one subject that students, including those who are math confident, enjoy learning: data science. As of 2020, \u003c/span>\u003ca href=\"https://edsource.org/2020/university-of-california-expands-list-of-courses-that-meet-math-requirement-for-admission/643173\">\u003cspan style=\"font-weight: 400\">data science is accepted math coursework\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> for University of California and Cal State University’s A-G requirements, so students might see it offered in more schools.\u003c/span>\u003c/p>\n\u003cp>\u003c/p>\u003c/div>","attributes":{"named":{},"numeric":[]}},{"type":"component","content":"","name":"ad","attributes":{"named":{"label":"fullwidth"},"numeric":["fullwidth"]}},{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">Over the last decade, teams of teachers, researchers and academics have been developing data science curriculum and tools for the classroom, and having a modern approach to teaching is resonating with students. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“It’s kind of a unique opportunity because there wasn’t a high school data science course before,” said Suyen Machado, director of the \u003c/span>\u003ca href=\"https://www.idsucla.org/\">\u003cspan style=\"font-weight: 400\">Introduction to Data Science\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> program, which was started as a partnership between UCLA and the Los Angeles Unified School District nearly ten years ago. The program was funded with a National Science Foundation grant to increase the amount of students going into STEM careers and to bring computational and statistical thinking to underrepresented high school students, according to Machado. \u003c/span>\u003c/p>\n\u003cp>\u003c!-- iframe plugin v.4.3 wordpress.org/plugins/iframe/ -->\u003cbr>\n\u003ciframe loading=\"lazy\" frameborder=\"0\" height=\"200\" scrolling=\"no\" src=\"https://playlist.megaphone.fm?e=KQINC1092079008\" width=\"100%\" class=\"iframe-class\">\u003c/iframe>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“Engaging lessons that are inquiry driven, student driven and collaborative are really well suited for underrepresented groups, and you will find all of that in our \u003c/span>\u003ca href=\"https://curriculum.idsucla.org/\">\u003cspan style=\"font-weight: 400\">curriculum\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. And they’re good for students in general,” Machado said. \u003c/span>\u003c/p>\n\u003ch2>\u003cb>REAL WORLD USES\u003c/b>\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400\">The data science curriculum gives students opportunities to look at real data instead of abstract formulas. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“It’s just so much fun,” said \u003c/span>\u003cspan style=\"font-weight: 400\">James Molyneux, a professor at Oregon State University who was involved in the development of IDS. For example, students can collect their data and compare themselves to larger government data sets, like the American \u003c/span>\u003ca href=\"https://www.bls.gov/news.release/pdf/atus.pdf\">\u003cspan style=\"font-weight: 400\">Time Use Survey\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> from the Bureau of Labor Statistics. Students can measure how much time they spend grooming, eating, being with family and consuming social media, according to Molyneux. \u003c/span>\u003c/p>\n\u003cfigure id=\"attachment_58333\" class=\"wp-caption alignnone\" style=\"max-width: 1024px\">\u003cimg loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-58333\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2021/08/IMG_9804.jpg\" alt=\"\" width=\"1024\" height=\"629\" srcset=\"https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/IMG_9804.jpg 1024w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/IMG_9804-800x491.jpg 800w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/IMG_9804-1020x627.jpg 1020w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/IMG_9804-160x98.jpg 160w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/IMG_9804-768x472.jpg 768w\" sizes=\"(max-width: 1024px) 100vw, 1024px\">\u003cfigcaption class=\"wp-caption-text\">A snapshot of students in Ding-ay Tadena’s class. \u003ccite>(Courtesy of Ding-ay Tadena)\u003c/cite>\u003c/figcaption>\u003c/figure>\n\u003cp>\u003cspan style=\"font-weight: 400\">Among students, there’s a growing interest in data sets, such as \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/56450/how-culturally-relevant-teaching-can-build-relationships-while-students-are-home\">\u003cspan style=\"font-weight: 400\">pollution\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> in \u003c/span>\u003ca href=\"https://iase-web.org/documents/papers/rt2016/Gould.pdf\">\u003cspan style=\"font-weight: 400\">school communities\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> and which \u003c/span>\u003ca href=\"https://curriculum.idsucla.org/unit2/lab2e/\">\u003cspan style=\"font-weight: 400\">gender\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> character is most likely to survive a horror film. For IDS participants, the most popular data project involves \u003ca href=\"https://curriculum.idsucla.org/unit1/lesson6/\">snacks\u003c/a>. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“It honestly made me more aware of what I was taking in and putting in my body,” said student Linda Solares of Leuzinger High School of the snack project. Not to worry, the unit is not about encouraging weight loss or anything. Students used the IDS app to track information like the amount of salt, sugar content, cost, number of ingredients or their reasons for eating.\u003cbr>\n\u003c/span>\u003cspan style=\"font-weight: 400\">\u003cbr>\n\u003c/span>\u003cspan style=\"font-weight: 400\">“We’re in quarantine, \u003c/span>\u003cspan style=\"font-weight: 400\">we’re eating a lot more out of boredom and stuff. So honestly, it really helped me,” said Solares. “After I finished the survey, I was like, whoa,” she said, “I was really eating not so healthy.”\u003c/span>\u003c/p>\n\u003cp>\u003ca href=\"https://drive.google.com/file/d/0B1Nho2Ty0ZnYbE5wT1FCU2RtZExSN290WVJsM0htc0NqbzFn/view?resourcekey=0-VL7HSox62czWW_XB9gGXYw\">\u003cspan style=\"font-weight: 400\">Surveys\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> of IDS students in LAUSD found that coding was the most challenging part of the course, but also, the most important skill students learned. Using programming tools, like RStudio, they persisted by trying over and over again to get their code right. And that helped boost confidence in their ability to problem solve. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“The lab is a lesson for us to learn about the codes and how we can implement them in certain situations,” said Leuzinger student Peter Tran, who would \u003c/span>\u003ca href=\"https://curriculum.idsucla.org/table/\">\u003cspan style=\"font-weight: 400\">test\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> different variables against one another, like finding the most common time of day students ate unhealthy snacks. \u003c/span>\u003c/p>\n\u003cp>An important part of the data science curriculum is understanding privacy matters, and knowing how data is collected about people and used against them. This knowledge can help develop a person’s media literacy.\u003c/p>\n\u003cp>“There’s a lot of misinformation out there,” said Boaler. “Having students develop a critical perspective – that’s one of the things we can teach in data science. Be skeptical of data that’s put in front of you, ask questions of it, think about who put that data together, what purpose did they have for it.”\u003c/p>\n\u003ch2>\u003cb>LEARNING GETS MESSY\u003c/b>\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400\">The messiness of the data sets is part of the appeal for students; it’s what engages them in learning and not shying away from unknown outcomes, according to \u003ca href=\"https://concord.org/data-fluency/\">Concord Consortium\u003c/a>’s Chad Dorsey. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“It’s almost sort of pre-chewed and preordained,” said Dorsey of traditional curriculum that doesn’t engage students. “And when we do that, we take a lot of the discovery away. We’re finding the value in putting students into the place of needing to ask and answer questions with data that might be ambiguous or that might have a missing value,” said Dorsey. As part of an NSF grant, the group developed the free CODAP tool so teachers can integrate data skills into their classes, such as science. The group also provides teachers with professional development. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“We’re finding the value of putting students in the driver’s seat to do the exploration themselves, to uncover new things in the data that maybe the teachers didn’t understand was there in the first place and where students are finding something different than their neighbors,” said Dorsey.\u003c/span>\u003c/p>\u003c/p>\u003cp>\u003cspan class='utils-parseShortcode-shortcodes-__youtubeShortcode__embedYoutube'>\n \u003cspan class='utils-parseShortcode-shortcodes-__youtubeShortcode__embedYoutubeInside'>\n \u003ciframe\n loading='lazy'\n class='utils-parseShortcode-shortcodes-__youtubeShortcode__youtubePlayer'\n type='text/html'\n src='//www.youtube.com/embed/nAwu2x6HPNg'\n title='//www.youtube.com/embed/nAwu2x6HPNg'\n allowfullscreen='true'\n style='border:0;'>\u003c/iframe>\n \u003c/span>\n \u003c/span>\u003c/p>\u003cp>\u003cp>\u003cspan style=\"font-weight: 400\">For Leuzinger High School IDS t\u003c/span>\u003cspan style=\"font-weight: 400\">eacher Ding-ay Tadena, that has meant giving students agency over the topics they want to investigate, such as sports. “They learn how to think deeper and then use these math skills and eventually they love it,” says Tadena, who has seen students of all math levels succeed in data science. She says that in data science class, students see themselves as more than the math track they’re in. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“It taught them how to dream bigger rather than just being profiled as lower performing in terms of math,” she said. “And that is the beauty of it because you teach them how to code, how to do this data, how to scrape data from the internet and push it in R in the field that interests them.” Tadena, who has been teaching math for about two decades, says data science is in many ways a re\u003c/span>\u003cspan style=\"font-weight: 400\">spite for math teachers like herself who are looking for ways to engage their students. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“The students are so interested,” Tadena said. “They’re so into it.” \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">For science teacher \u003c/span>\u003ca href=\"https://concord.org/blog/never-stop-learning/\">\u003cspan style=\"font-weight: 400\">Emerlyn Gatchalian\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">, having Concord Consortium’s CODAP tool makes understanding the periodic table easier for some of her students. “They’re looking at the different properties of elements in the periodic table using data like the atomic size, ionic size,” she said. “Because they’re using data using CODAP, it’s so easy for them to look for patterns and trends and make them feel that they can actually understand and interpret data instead of using all the equations that they’re learning in math.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">For high school special education teacher \u003c/span>\u003ca href=\"https://concord.org/blog/the-science-teacher-accessible-physics-for-all/\">\u003cspan style=\"font-weight: 400\">Michelle Murtha\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">, students’ ability to graph their data using digital tools helped them understand it. “Sometimes, graphing itself is so hard for the students. But because the program helps them through it,” she said, “they’re able to actually see the graph. And for us, that’s more important, so they can actually analyze the data versus, ‘can you plot this point?’”\u003c/span>\u003c/p>\n\u003cp>\u003cstrong>REDEFINING HIGH SCHOOL\u003c/strong>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">When Emilio Jaime was a student at Phineas Banning High School, he was on track to take AP Calculus his senior year. He had been confident about math throughout school, but decided to take IDS based on a teacher’s suggestion. Plus, one less AP class would help ease his senior year course load. \u003c/span>\u003c/p>\n\u003cp>\u003cb>\u003c/b>“I decided to let go of calculus and took on IDS, which I’m so glad I did, because I guess I was just scared because it wasn’t the norm that students were doing,\u003cem>” \u003c/em>said Jaime, who graduated from UC Berkeley last spring.\u003c/p>\n\u003cfigure id=\"attachment_58348\" class=\"wp-caption alignnone\" style=\"max-width: 1136px\">\u003cimg loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-58348\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2021/08/Emilio-Jaime-2.png\" alt=\"\" width=\"1136\" height=\"1702\" srcset=\"https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/Emilio-Jaime-2.png 1136w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/Emilio-Jaime-2-800x1199.png 800w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/Emilio-Jaime-2-1020x1528.png 1020w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/Emilio-Jaime-2-160x240.png 160w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/Emilio-Jaime-2-768x1151.png 768w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/Emilio-Jaime-2-1025x1536.png 1025w\" sizes=\"(max-width: 1136px) 100vw, 1136px\">\u003cfigcaption class=\"wp-caption-text\">Emilio Jaime \u003ccite>(Courtesy of Emilio Jaime)\u003c/cite>\u003c/figcaption>\u003c/figure>\n\u003cp>\u003cspan style=\"font-weight: 400\">What he liked about data science was the ability to play with formulas and not feel limited by right and wrong answers that were the hallmark of his math education. “This is how the formula is, and this is the answer, and there is a wrong answer,” he said of his earlier relationship to math. But data science was more fluid. “On our projects, I tried so many different graphs and so many different solutions to try to create so many different conclusions.” \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“I think IDS and data science really allows students to try different things without being scared to fail,” he said. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">IDS trains teachers across the country and abroad on how to teach data science as a course. It’s one of several programs, including ones operated by the \u003ca href=\"https://concord.org/data-fluency/\">Concord Consortium\u003c/a> and Boaler’s \u003ca href=\"https://www.youcubed.org/resource/data-literacy/\">YouCubed\u003c/a>. The outcome of getting more underrepresented students in the STEM field has yet to be seen. But for now, these educators are shifting students’ experiences with STEM to increase the odds that they’ll stay. \u003c/span>\u003c/p>\n\u003cfigure id=\"attachment_58330\" class=\"wp-caption alignnone\" style=\"max-width: 800px\">\u003cimg loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-58330\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2021/08/IMG_9812.jpg\" alt=\"\" width=\"800\" height=\"600\" srcset=\"https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/IMG_9812.jpg 800w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/IMG_9812-160x120.jpg 160w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/08/IMG_9812-768x576.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\">\u003cfigcaption class=\"wp-caption-text\">Students in Ding-ay Tadena’s data science class. \u003ccite>(Courtesy of Ding-ay Tadena)\u003c/cite>\u003c/figcaption>\u003c/figure>\n\u003cp>\u003cspan style=\"font-weight: 400\">All of these skills will hopefully help students become better informed members of society. \u003c/span>\u003c/p>\n\u003cp>\u003c!-- iframe plugin v.4.3 wordpress.org/plugins/iframe/ -->\u003cbr>\n\u003ciframe loading=\"lazy\" frameborder=\"0\" height=\"200\" scrolling=\"no\" src=\"https://playlist.megaphone.fm?e=KQINC1092079008\" width=\"100%\" class=\"iframe-class\">\u003c/iframe>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">“I think that’s the biggest gift that we can give students right now – no matter how we’re doing it – is to help them understand that there are data all around them, that those data have answers, that they come from people, and that the things that they are doing are generating data all over, and to give them the ability to start to feel empowered to work with this data themselves,” said Dorsey. \u003c/span>\u003c/p>\n\u003cp>\u003c/p>\u003c/div>","attributes":{"named":{},"numeric":[]}},{"type":"component","content":"","name":"ad","attributes":{"named":{"label":"floatright"},"numeric":["floatright"]}},{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003c/p>\n\u003cp>\u003cstrong>Subscribe to the MindShift Podcast in your favorite podcast app so you won’t miss a single episode. You can listen on \u003ca href=\"https://podcasts.apple.com/us/podcast/mindshift-podcast/id1078765985\">Apple Podcasts\u003c/a>, \u003ca href=\"https://play.google.com/music/listen?u=0#/ps/I4hhfs3azg3avjzbuowzeal5sze\">Google Podcasts\u003c/a>, \u003ca href=\"https://www.npr.org/podcasts/464615685/mind-shift-podcast\">NPR One\u003c/a>, \u003ca href=\"https://open.spotify.com/show/0MxSpNYZKNprFLCl7eEtyx\">Spotify\u003c/a>, \u003ca href=\"https://www.stitcher.com/podcast/kqed/stories-teachers-share\">Stitcher\u003c/a> or wherever you get your podcasts. \u003c/strong>\u003c/p>\n\n\u003c/div>\u003c/p>","attributes":{"named":{},"numeric":[]}}],"link":"/mindshift/58326/could-data-science-diversify-the-stem-field-why-courses-designed-this-century-feel-so-relevant-to-all-students","authors":["4596"],"programs":["mindshift_21847","mindshift_21942"],"categories":["mindshift_21130","mindshift_21848"],"tags":["mindshift_21446","mindshift_20701","mindshift_392","mindshift_20893","mindshift_21132","mindshift_391"],"featImg":"mindshift_58329","label":"mindshift_21942"},"mindshift_57997":{"type":"posts","id":"mindshift_57997","meta":{"index":"posts_1716263798","site":"mindshift","id":"57997","score":null,"sort":[1626676436000]},"parent":0,"labelTerm":{"site":"mindshift"},"blocks":[],"publishDate":1626676436,"format":"standard","title":"How to Build Students’ Math Confidence With Culturally Sustaining Teaching Practices","headTitle":"How to Build Students’ Math Confidence With Culturally Sustaining Teaching Practices | KQED","content":"\u003cp>\u003cspan style=\"font-weight: 400;\">“I’m not a math person.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">It’s something that educators hear from students in classes, children express to caregivers as they start homework and even adults say to each other when it’s time to calculate the tip for lunch. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">Where did all of these “not math people” come from?\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">“There’s a lot of people right now who have been given permission to be innumerate because society has deemed innumeracy as OK,” says New York-based math educator José\u003c/span>\u003cspan style=\"font-weight: 400;\"> Vilson. “Because as long as you’re not a math person, then it’s perfectly fine to fail at math.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">Dr. Cathery Yeh believes people began distancing themselves from math when they started associating math with memorization. She taught elementary school in Los Angeles and currently teaches graduate education students at Chapman University. “When I ask anybody to close their eyes and think about what math means, they’ll often say the timed test that they started taking in third grade,” says Yeh. “It was really around speed and doing a lot of problems repeatedly.”\u003c/span>\u003c/p>\n\u003cp>[ad fullwidth]\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">According to Yeh, these tests and other teaching techniques that rely on memorization give children a very narrow view of what math is. When math seems disconnected from everyday life, it makes it easy for \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/56637/math-anxiety-is-real-heres-how-to-help-your-child-avoid-it\">\u003cspan style=\"font-weight: 400;\">students to claim it’s not their thing\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400;\">. Instead, highlighting math’s connection to concrete examples and \u003ca href=\"https://www.kqed.org/mindshift/55961/how-sidewalk-math-cultivates-a-playful-curious-attitude-towards-math\">students’ everyday context\u003c/a> communicates that math is all over the place. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">“There’s still a lot of work that needs to be done in the way of trying to make sure that people understand how critical math is because math really is everywhere,” says Vilson. “It’s just a matter of how we contextualize it in our society.”\u003c/span>\u003c/p>\n\u003cfigure id=\"attachment_58017\" class=\"wp-caption alignnone\" style=\"max-width: 800px\">\u003cimg loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-58017\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2021/06/math-classrooms-as-a-learning-lab-800x600.jpeg\" alt=\"\" width=\"800\" height=\"600\" srcset=\"https://cdn.kqed.org/wp-content/uploads/sites/23/2021/06/math-classrooms-as-a-learning-lab-800x600.jpeg 800w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/06/math-classrooms-as-a-learning-lab-1020x765.jpeg 1020w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/06/math-classrooms-as-a-learning-lab-160x120.jpeg 160w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/06/math-classrooms-as-a-learning-lab-768x576.jpeg 768w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/06/math-classrooms-as-a-learning-lab-1536x1152.jpeg 1536w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/06/math-classrooms-as-a-learning-lab-1920x1440.jpeg 1920w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/06/math-classrooms-as-a-learning-lab.jpeg 2048w\" sizes=\"(max-width: 800px) 100vw, 800px\">\u003cfigcaption class=\"wp-caption-text\">Transforming the math classroom into a learning lab \u003ccite>(Cathery Yeh)\u003c/cite>\u003c/figcaption>\u003c/figure>\n\u003ch2>\u003cspan style=\"font-weight: 400;\">Learning isn’t linear, it’s embedded\u003c/span>\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400;\">Math can be intimidating to students because it seems like if they fall behind it’s nearly impossible to catch up. On top of that, Vilson says that many teachers suggest that students drop classes if they are not keeping up with the pace of the curriculum. Instead, he encourages teachers to rethink how students learn. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">“Learning is not linear,” says Vilson. “So much of how we discuss math assumes that everybody picked up every single standard along the way.” Most schools have students progress through math courses in stages – algebra 1, geometry, algebra 2 and trigonometry. However, Yeh says this means teachers are missing out on opportunities for students to understand how math principles naturally work together.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">“Adding fractions is a fourth grade goal and multiplying fractions is a fifth grade goal. If they’re both doing it and you’re connecting across the two, that allows everybody access to grade level content. They get to see the integrated connection between these two operations.” \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">Yeh also relies on culturally sustaining pedagogy to help students see how math principles work together and are intertwined with their everyday lives. During the first week of school, Yeh encourages Chapman teachers to ask students to interview a member of their family in their native language about how they use math in their daily life. When children bring these answers back to school, Yeh and student teachers create math lessons that align how the parents used math with what students were learning in class.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">Students were able to broaden their idea of who can be a mathematician and what mathematics can be. Yeh would even invite family and community members to come to co-teach math lessons from their authentic experience.\u003c/span>\u003c/p>\n\u003cp>\u003ciframe loading=\"lazy\" title=\"Sopa de Números\" width=\"640\" height=\"360\" src=\"https://www.youtube.com/embed/cAH1ESiy_bU?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen>\u003c/iframe>\u003c/p>\n\u003ch2>\u003cspan style=\"font-weight: 400;\">Using mini-scaffolds to build confidence\u003c/span>\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400;\">In order to meet students where they are at in their learning, Vilson uses a ground up approach to find where learners need support. When he gives an assignment based on a new concept, he’ll walk around the classroom to identify students that need help. Then, he’ll ask students questions starting with “Tell me what you know.” He calls this finding “mini-scaffolds.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">“The bottom is ‘I don’t get it at all,’” says Vilson of when he’s working with a student that isn’t yet able to fully grasp foundational concepts. “If that’s the case. Then I build from there. But \u003c/span>\u003cspan style=\"font-weight: 400;\">I’m asking questions that continually go down until I get to that point,” he says. He walks away when students no longer need help so that students build confidence as they finish completing the problem on their own.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">For example, Vilson has a favorite activity where students construct a model and calculate scale to figure out how planets are positioned in outer space. Students will start out by making estimates based on what they already know. After introducing some of the principles of scientific notation, Vilson will give students a few numbers to work from. As students rethink what the solar system looks like based on new numbers, he’ll guide students who need extra support with questions like “Are the planets all evenly spaced out?” and “How big are the planets compared to one another?”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">“Kids can get closer and closer to the actual true right answer if we just keep working with them and allow them to get to that,” says Vilson. “You don’t hear things like ‘I don’t get it.’ You hear things like ‘Oh, we’ll figure it out together’\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">Additionally, Vilson is always trying to model how to react to \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/57413/how-some-mistakes-can-be-generative-for-teachers-and-students-alike\">\u003cspan style=\"font-weight: 400;\">wrong answers and mistakes\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400;\">. “If a kid tells you something like ‘Two thirds is equal to three fourths because I added one above and below.’ I say, ‘I see that you’re trying to make a pattern here.’ And then you start interrogating.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">He’ll ask the class \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/44726/how-productive-failure-for-students-can-help-lessons-stick\">\u003cspan style=\"font-weight: 400;\">questions about the problem that will lead them towards the right answer\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400;\">. In this case, he may even guide the students through making different representations of two thirds and three fourths, by drawing it out. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">“It’s not like I told them it was wrong. I said, ‘Here’s a different path that you may consider.’”\u003c/span>\u003c/p>\n\u003ch2>\u003cspan style=\"font-weight: 400;\">Pathways for discussing math\u003c/span>\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400;\">Developing confidence in the math classroom helps students apply math principles anywhere they go. “I think those experiences allow for people to say math is wherever you need it to be. And is it exactly the same math? No, not exactly. But it activates the part of your brain that allows you to move around the world pretty quickly,” says Vilson.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">It’s easy to dwell on bad experiences, but most people have felt the magical lightbulb moment in their brain when they’ve figured out how to solve a math problem. Vilson wants math educators to identify pathways that help math click for more students so that they no longer feel as if their race, class or gender has any bearing on their math ability. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">When the subject matter starts to feel abstract, Vilson works with his students to identify models that can be replicated in other contexts. He tells students to take their geometry knowledge into looking at maps or navigating public transportation in new cities and encourages students to think of how many math principles they rely on to calculate a 20 percent tip. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">Vilson says,“They’re able to participate in a whole different way. They’re able to articulate their answers in a different way. They feel empowered by the things that they’re doing.”\u003c/span>\u003c/p>\n\u003cfigure id=\"attachment_58016\" class=\"wp-caption alignnone\" style=\"max-width: 794px\">\u003cimg loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-58016\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2021/06/Number-String.jpeg\" alt=\"\" width=\"794\" height=\"756\" srcset=\"https://cdn.kqed.org/wp-content/uploads/sites/23/2021/06/Number-String.jpeg 794w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/06/Number-String-160x152.jpeg 160w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/06/Number-String-768x731.jpeg 768w\" sizes=\"(max-width: 794px) 100vw, 794px\">\u003cfigcaption class=\"wp-caption-text\">Poster of number strings from one of Cathery Yeh’s student teachers \u003ccite>(Cathery Yeh)\u003c/cite>\u003c/figcaption>\u003c/figure>\n\u003cp>\u003cspan style=\"font-weight: 400;\">Yeh relies on real life examples to engage students. If she’s working on dividing by fractions with students, she won’t just ask, “What is two divided by one half?” Instead she might say something like, “The family has two loaves of bread and they only want to eat half a day. How many days would two loaves last?” Students appreciate this accessible entry point into what is sometimes a tricky math unit.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">“They get to do math and problem solve, then we go and connect it to the equation itself. Those things are ensuring deep learning and also responsive learning,” says Yeh. “I’m valuing and honoring students’ experiences and also applying mathematics to understanding and investigating meaningful situations in their lives.”\u003c/span>\u003c/p>\n\u003cp>[ad floatright]\u003c/p>\n\u003cp>\u003cem>MindShift is part of KQED, a non-profit NPR and PBS member station in San Francisco, CA. The text of this specific article is available to republish for noncommercial purposes under a Creative Commons \u003ca href=\"https://creativecommons.org/licenses/by-nc-nd/4.0/\">CC BY-NC-ND 4.0\u003c/a> license, thanks to support from the William and Flora Hewlett Foundation.\u003c/em>\u003c/p>\n\n","stats":{"hasVideo":true,"hasChartOrMap":false,"hasAudio":false,"hasPolis":false,"wordCount":1537,"hasGoogleForm":false,"hasGallery":false,"hasHearkenModule":false,"iframeSrcs":[],"paragraphCount":29},"modified":1713642403,"excerpt":"Educators José Vilson and Dr. Cathery Yeh invite teachers to reimagine the way math is taught. They provide teaching techniques that focus on using students’ everyday contexts to find pathways for engaging math learning.","headData":{"twImgId":"","twTitle":"","ogTitle":"","ogImgId":"","twDescription":"","description":"Educators José Vilson and Dr. Cathery Yeh invite teachers to reimagine the way math is taught. They provide teaching techniques that focus on using students’ everyday contexts to find pathways for engaging math learning.","socialDescription":"Educators José Vilson and Dr. Cathery Yeh invite teachers to reimagine the way math is taught. They provide teaching techniques that focus on using students’ everyday contexts to find pathways for engaging math learning.","title":"How to Build Students’ Math Confidence With Culturally Sustaining Teaching Practices | KQED","ogDescription":"","schema":{"@context":"http://schema.org","@type":"Article","headline":"How to Build Students’ Math Confidence With Culturally Sustaining Teaching Practices","datePublished":"2021-07-18T23:33:56-07:00","dateModified":"2024-04-20T12:46:43-07:00","image":"https://cdn.kqed.org/wp-content/uploads/2020/02/KQED-OG-Image@1x.png"}},"guestAuthors":[],"slug":"how-to-build-students-math-confidence-with-culturally-sustaining-teaching-practices","status":"publish","excludeFromSiteSearch":"Include","sticky":false,"articleAge":"0","path":"/mindshift/57997/how-to-build-students-math-confidence-with-culturally-sustaining-teaching-practices","audioTrackLength":null,"parsedContent":[{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003cp>\u003cspan style=\"font-weight: 400;\">“I’m not a math person.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">It’s something that educators hear from students in classes, children express to caregivers as they start homework and even adults say to each other when it’s time to calculate the tip for lunch. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">Where did all of these “not math people” come from?\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">“There’s a lot of people right now who have been given permission to be innumerate because society has deemed innumeracy as OK,” says New York-based math educator José\u003c/span>\u003cspan style=\"font-weight: 400;\"> Vilson. “Because as long as you’re not a math person, then it’s perfectly fine to fail at math.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">Dr. Cathery Yeh believes people began distancing themselves from math when they started associating math with memorization. She taught elementary school in Los Angeles and currently teaches graduate education students at Chapman University. “When I ask anybody to close their eyes and think about what math means, they’ll often say the timed test that they started taking in third grade,” says Yeh. “It was really around speed and doing a lot of problems repeatedly.”\u003c/span>\u003c/p>\n\u003cp>\u003c/p>\u003c/div>","attributes":{"named":{},"numeric":[]}},{"type":"component","content":"","name":"ad","attributes":{"named":{"label":"fullwidth"},"numeric":["fullwidth"]}},{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">According to Yeh, these tests and other teaching techniques that rely on memorization give children a very narrow view of what math is. When math seems disconnected from everyday life, it makes it easy for \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/56637/math-anxiety-is-real-heres-how-to-help-your-child-avoid-it\">\u003cspan style=\"font-weight: 400;\">students to claim it’s not their thing\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400;\">. Instead, highlighting math’s connection to concrete examples and \u003ca href=\"https://www.kqed.org/mindshift/55961/how-sidewalk-math-cultivates-a-playful-curious-attitude-towards-math\">students’ everyday context\u003c/a> communicates that math is all over the place. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">“There’s still a lot of work that needs to be done in the way of trying to make sure that people understand how critical math is because math really is everywhere,” says Vilson. “It’s just a matter of how we contextualize it in our society.”\u003c/span>\u003c/p>\n\u003cfigure id=\"attachment_58017\" class=\"wp-caption alignnone\" style=\"max-width: 800px\">\u003cimg loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-58017\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2021/06/math-classrooms-as-a-learning-lab-800x600.jpeg\" alt=\"\" width=\"800\" height=\"600\" srcset=\"https://cdn.kqed.org/wp-content/uploads/sites/23/2021/06/math-classrooms-as-a-learning-lab-800x600.jpeg 800w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/06/math-classrooms-as-a-learning-lab-1020x765.jpeg 1020w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/06/math-classrooms-as-a-learning-lab-160x120.jpeg 160w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/06/math-classrooms-as-a-learning-lab-768x576.jpeg 768w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/06/math-classrooms-as-a-learning-lab-1536x1152.jpeg 1536w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/06/math-classrooms-as-a-learning-lab-1920x1440.jpeg 1920w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/06/math-classrooms-as-a-learning-lab.jpeg 2048w\" sizes=\"(max-width: 800px) 100vw, 800px\">\u003cfigcaption class=\"wp-caption-text\">Transforming the math classroom into a learning lab \u003ccite>(Cathery Yeh)\u003c/cite>\u003c/figcaption>\u003c/figure>\n\u003ch2>\u003cspan style=\"font-weight: 400;\">Learning isn’t linear, it’s embedded\u003c/span>\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400;\">Math can be intimidating to students because it seems like if they fall behind it’s nearly impossible to catch up. On top of that, Vilson says that many teachers suggest that students drop classes if they are not keeping up with the pace of the curriculum. Instead, he encourages teachers to rethink how students learn. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">“Learning is not linear,” says Vilson. “So much of how we discuss math assumes that everybody picked up every single standard along the way.” Most schools have students progress through math courses in stages – algebra 1, geometry, algebra 2 and trigonometry. However, Yeh says this means teachers are missing out on opportunities for students to understand how math principles naturally work together.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">“Adding fractions is a fourth grade goal and multiplying fractions is a fifth grade goal. If they’re both doing it and you’re connecting across the two, that allows everybody access to grade level content. They get to see the integrated connection between these two operations.” \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">Yeh also relies on culturally sustaining pedagogy to help students see how math principles work together and are intertwined with their everyday lives. During the first week of school, Yeh encourages Chapman teachers to ask students to interview a member of their family in their native language about how they use math in their daily life. When children bring these answers back to school, Yeh and student teachers create math lessons that align how the parents used math with what students were learning in class.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">Students were able to broaden their idea of who can be a mathematician and what mathematics can be. Yeh would even invite family and community members to come to co-teach math lessons from their authentic experience.\u003c/span>\u003c/p>\n\u003cp>\u003ciframe loading=\"lazy\" title=\"Sopa de Números\" width=\"640\" height=\"360\" src=\"https://www.youtube.com/embed/cAH1ESiy_bU?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen>\u003c/iframe>\u003c/p>\n\u003ch2>\u003cspan style=\"font-weight: 400;\">Using mini-scaffolds to build confidence\u003c/span>\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400;\">In order to meet students where they are at in their learning, Vilson uses a ground up approach to find where learners need support. When he gives an assignment based on a new concept, he’ll walk around the classroom to identify students that need help. Then, he’ll ask students questions starting with “Tell me what you know.” He calls this finding “mini-scaffolds.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">“The bottom is ‘I don’t get it at all,’” says Vilson of when he’s working with a student that isn’t yet able to fully grasp foundational concepts. “If that’s the case. Then I build from there. But \u003c/span>\u003cspan style=\"font-weight: 400;\">I’m asking questions that continually go down until I get to that point,” he says. He walks away when students no longer need help so that students build confidence as they finish completing the problem on their own.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">For example, Vilson has a favorite activity where students construct a model and calculate scale to figure out how planets are positioned in outer space. Students will start out by making estimates based on what they already know. After introducing some of the principles of scientific notation, Vilson will give students a few numbers to work from. As students rethink what the solar system looks like based on new numbers, he’ll guide students who need extra support with questions like “Are the planets all evenly spaced out?” and “How big are the planets compared to one another?”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">“Kids can get closer and closer to the actual true right answer if we just keep working with them and allow them to get to that,” says Vilson. “You don’t hear things like ‘I don’t get it.’ You hear things like ‘Oh, we’ll figure it out together’\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">Additionally, Vilson is always trying to model how to react to \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/57413/how-some-mistakes-can-be-generative-for-teachers-and-students-alike\">\u003cspan style=\"font-weight: 400;\">wrong answers and mistakes\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400;\">. “If a kid tells you something like ‘Two thirds is equal to three fourths because I added one above and below.’ I say, ‘I see that you’re trying to make a pattern here.’ And then you start interrogating.”\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">He’ll ask the class \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/44726/how-productive-failure-for-students-can-help-lessons-stick\">\u003cspan style=\"font-weight: 400;\">questions about the problem that will lead them towards the right answer\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400;\">. In this case, he may even guide the students through making different representations of two thirds and three fourths, by drawing it out. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">“It’s not like I told them it was wrong. I said, ‘Here’s a different path that you may consider.’”\u003c/span>\u003c/p>\n\u003ch2>\u003cspan style=\"font-weight: 400;\">Pathways for discussing math\u003c/span>\u003c/h2>\n\u003cp>\u003cspan style=\"font-weight: 400;\">Developing confidence in the math classroom helps students apply math principles anywhere they go. “I think those experiences allow for people to say math is wherever you need it to be. And is it exactly the same math? No, not exactly. But it activates the part of your brain that allows you to move around the world pretty quickly,” says Vilson.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">It’s easy to dwell on bad experiences, but most people have felt the magical lightbulb moment in their brain when they’ve figured out how to solve a math problem. Vilson wants math educators to identify pathways that help math click for more students so that they no longer feel as if their race, class or gender has any bearing on their math ability. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">When the subject matter starts to feel abstract, Vilson works with his students to identify models that can be replicated in other contexts. He tells students to take their geometry knowledge into looking at maps or navigating public transportation in new cities and encourages students to think of how many math principles they rely on to calculate a 20 percent tip. \u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">Vilson says,“They’re able to participate in a whole different way. They’re able to articulate their answers in a different way. They feel empowered by the things that they’re doing.”\u003c/span>\u003c/p>\n\u003cfigure id=\"attachment_58016\" class=\"wp-caption alignnone\" style=\"max-width: 794px\">\u003cimg loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-58016\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2021/06/Number-String.jpeg\" alt=\"\" width=\"794\" height=\"756\" srcset=\"https://cdn.kqed.org/wp-content/uploads/sites/23/2021/06/Number-String.jpeg 794w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/06/Number-String-160x152.jpeg 160w, https://cdn.kqed.org/wp-content/uploads/sites/23/2021/06/Number-String-768x731.jpeg 768w\" sizes=\"(max-width: 794px) 100vw, 794px\">\u003cfigcaption class=\"wp-caption-text\">Poster of number strings from one of Cathery Yeh’s student teachers \u003ccite>(Cathery Yeh)\u003c/cite>\u003c/figcaption>\u003c/figure>\n\u003cp>\u003cspan style=\"font-weight: 400;\">Yeh relies on real life examples to engage students. If she’s working on dividing by fractions with students, she won’t just ask, “What is two divided by one half?” Instead she might say something like, “The family has two loaves of bread and they only want to eat half a day. How many days would two loaves last?” Students appreciate this accessible entry point into what is sometimes a tricky math unit.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400;\">“They get to do math and problem solve, then we go and connect it to the equation itself. Those things are ensuring deep learning and also responsive learning,” says Yeh. “I’m valuing and honoring students’ experiences and also applying mathematics to understanding and investigating meaningful situations in their lives.”\u003c/span>\u003c/p>\n\u003cp>\u003c/p>\u003c/div>","attributes":{"named":{},"numeric":[]}},{"type":"component","content":"","name":"ad","attributes":{"named":{"label":"floatright"},"numeric":["floatright"]}},{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003c/p>\n\u003cp>\u003cem>MindShift is part of KQED, a non-profit NPR and PBS member station in San Francisco, CA. The text of this specific article is available to republish for noncommercial purposes under a Creative Commons \u003ca href=\"https://creativecommons.org/licenses/by-nc-nd/4.0/\">CC BY-NC-ND 4.0\u003c/a> license, thanks to support from the William and Flora Hewlett Foundation.\u003c/em>\u003c/p>\n\n\u003c/div>\u003c/p>","attributes":{"named":{},"numeric":[]}}],"link":"/mindshift/57997/how-to-build-students-math-confidence-with-culturally-sustaining-teaching-practices","authors":["11721"],"categories":["mindshift_193"],"tags":["mindshift_797","mindshift_392","mindshift_20893","mindshift_21906","mindshift_21053"],"featImg":"mindshift_57999","label":"mindshift"},"mindshift_58090":{"type":"posts","id":"mindshift_58090","meta":{"index":"posts_1716263798","site":"mindshift","id":"58090","score":null,"sort":[1626163814000]},"parent":0,"labelTerm":{"site":"mindshift"},"blocks":[],"publishDate":1626163814,"format":"standard","disqusTitle":"How to Help Students Succeed in Algebra 1 This Year","title":"How to Help Students Succeed in Algebra 1 This Year","headTitle":"MindShift | KQED News","content":"\u003cp>\u003cem>This story is a part of \u003ca href=\"https://hechingerreport.org/lessons-learned/\" target=\"_blank\" rel=\"noopener noreferrer\">Lessons Learned\u003c/a>, a series of stories exploring the evidence behind ideas to help children catch up and move ahead after the coronavirus pandemic.\u003c/em>\u003c/p>\n\u003cp>Ishmael Brown Jr. is a stickler for notes when he teaches algebra I to ninth graders at Spring Valley High School in Columbia, South Carolina. After he gives students a problem, he typically walks around and watches how they’re solving it; he wants to see their reasoning with the answer. Not so this year: As of May, only about a sixth of his students were in person and the rest online.\u003c/p>\n\u003cp>With so many web tools out there that solve math problems, it’s easy for Brown’s online students to find a shortcut to answers and the calculations that go with them. So he has no idea if they’re learning.\u003c/p>\n\u003cp>Connecting with kids has been a struggle, too. Brown’s virtual students aren’t required to turn on their cameras, so he can’t tell whether they’re paying attention. Few speak up. In person, his classes are fun, and the students engaged: “I relate whatever it is that we're doing to something closer to real life,” he said.\u003c/p>\n\u003cp>The effects are showing up in test scores. In his intermediate algebra class — the second semester of algebra I — 30 percent of his students are passing tests, compared with close to 70 percent in previous years. “I really don’t think that they’re growing,” said Brown, who’s also president of the National Tutoring Association. “I think this is a lost school year for most kids.”\u003c/p>\n\u003cp>[ad fullwidth]\u003c/p>\n\u003cp>Similar stories are coming in from all over the country. Educators and school leaders are scrambling to figure out how to regain ground next year in a course that often makes or breaks students’ life chances.\u003c/p>\n\u003cp>Later, math is what most often keeps students from graduating from college, experts say. Only half of students who take college algebra score C or higher in the course, a 2015 \u003ca href=\"https://www.maa.org/sites/default/files/pdf/CommonVisionFinal.pdf\">report\u003c/a> by the Mathematical Association of America noted. Math courses are “the most significant barrier to degree completion in both STEM and non-STEM fields,” the authors concluded.\u003c/p>\n\u003cp>That means algebra I is also the class that decides whether students get jobs involving science, technology, engineering or math. “Algebra I is the air you breathe to be in STEM,” said Nathan Levenson, a former CEO of a crane-manufacturing company and later a school superintendent in Massachusetts.\u003c/p>\n\u003cp>For many students it’s been a lonely year, and algebra is tougher to learn while peering at a screen, say teachers and researchers.\u003c/p>\n\u003cfigure id=\"attachment_58093\" class=\"wp-caption alignnone\" style=\"max-width: 1428px\">\u003cimg class=\"wp-image-58093 size-full\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-4.png\" alt=\"\" width=\"1428\" height=\"796\" srcset=\"https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-4.png 1428w, https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-4-800x446.png 800w, https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-4-1020x569.png 1020w, https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-4-160x89.png 160w, https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-4-768x428.png 768w\" sizes=\"(max-width: 1428px) 100vw, 1428px\">\u003cfigcaption class=\"wp-caption-text\">Ishmael Brown Jr. introduces a lesson on quadratic formulas. Few students spoke up with questions and comments during algebra I classes this year, say teachers and students. \u003ccite>(Ishmael Brown Jr.)\u003c/cite>\u003c/figcaption>\u003c/figure>\n\u003cp>School leaders and teachers are puzzling through a tough equation: how to keep students who missed out on a lot of algebra I content moving through grade-level math next year, usually geometry. Teaching experts say that will mean slowing down to fill in knowledge gaps —detouring from lesson plans, adding extra periods for tutoring, and more. Schools will need to put in “quality time this fall understanding what kids know and what they're able to do” and then building on that, says Michael Steele, a professor of mathematics education at the University of Wisconsin-Milwaukee.\u003c/p>\n\u003cp>At Jackson City School in Kentucky, teacher Jeffrey Coots has had about two-thirds of his algebra I students online all year. Even some of his strongest math students from prior years have struggled to stay motivated working virtually and have gotten behind. He doesn’t know what’s happening at home, and connections are often spotty — the district is located in Breathitt County, one of the nation’s poorest.\u003c/p>\n\u003cp>“It’s really hard essentially losing a student who you know has just great things ahead of them,” he said. “I’m very worried. I think of math like Legos — you can't build a house if you don't have that first foundation.”\u003c/p>\n\u003cp>Keeping kids connected is just one problem. Teachers don’t get enough training to begin with and certainly haven’t been trained to teach math remotely, said Mark Goldstein, vice president of curriculum and instruction at the nonprofit Center for Mathematics and Teaching. So teachers have been learning new software platforms on the go. In a group of 30 students in an online platform, they can’t watch everyone and check their students’ body language as in the classroom, he said. Breakout rooms are even harder to monitor.\u003c/p>\n\u003cp>And often teachers haven’t had time to cover anything in depth. Heuvelton Central School in northwestern New York State used a hybrid schedule for middle school and high school most of the year: two groups of students on alternating schedules are in person two days a week each. The other three days they’re on their own to do homework. With only two days a week to present new material, algebra I teacher Eliza Pierce has had to skim — the class isn’t diving into the really hard problems, she said. When her students hit geometry next year in 10th grade, they’re going to be “shellshocked” if they have to move at the same pace as in past years, she said.\u003c/p>\n\u003cfigure id=\"attachment_58092\" class=\"wp-caption alignnone\" style=\"max-width: 1920px\">\u003cimg class=\"wp-image-58092 size-full\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-6-scaled-e1626127090945.jpeg\" alt=\"\" width=\"1920\" height=\"1440\">\u003cfigcaption class=\"wp-caption-text\">Algebra teacher Eliza Pierce reviews polynomial equations with her in-person and remote students in preparation for end-of-year tests at Heuvelton Central School in northwestern New York State. \u003ccite>(Jesse Coburn)\u003c/cite>\u003c/figcaption>\u003c/figure>\n\u003cp>Students, too, have been struggling with all the new software, said Veronica Tenesaca, a tutor with Saga Education, which matches tutors with traditionally underserved students. She reels off the names of four new apps her students have had to learn for their algebra courses.\u003c/p>\n\u003cp>Even students who have done well working virtually don’t love online learning. Zyonne Reid, a 15-year-old at J.P. Taravella High School in Florida, hasn’t wanted to speak up in her large algebra I class that meets on Microsoft Teams. “Since it’s online, teachers don’t notice you’re struggling,” she said. “And you don’t want to take up the other people’s time by asking a question.”\u003c/p>\n\u003cp>Hafez Elachkar, 14, goes to Dearborn High School in Michigan. He hated math in previous years but likes his algebra I teacher, who relates what the class is learning to real life, and he’s using some of his algebra to help out in his father’s shoe business. But few students participate or ask questions, he said. When they break out into group work, no one talks except him. He’d never trade in-person math for the online version, he said.\u003c/p>\n\u003cp>Urban school districts like his were most likely to be fully online this year. Almost 80 percent of city districts planned to start last fall fully remote, versus 34 percent in the suburbs and 13 percent in rural areas, according to an August 2020 report by the University of Washington’s Center on Reinventing Public Education.\u003c/p>\n\u003cp>Organizations that tutor students in low-income districts see achievement indicators flashing red. Peer Power, a Memphis nonprofit that matches tutors with students in eight area public schools, started 16 years ago with a laser focus on algebra I after a local principal noticed that students who failed the course ended up dropping out of high school.\u003c/p>\n\u003cp>This year, the group is watching students flounder in algebra despite its help, according to Chris Xa, vice president of the Peer Power Institute at the University of Memphis, which supports Peer Power’s research, funding and training of tutors. He said that by the third quarter of a normal academic year, 50 to 65 percent of kids matched with tutors are getting A’s and B’s in algebra I. This year it’s only 30 percent. UPchieve, a nonprofit that pairs low-income students with free tutors through an online platform, says students have requested 14 times more tutoring sessions in algebra I or II this year than last year.\u003c/p>\n\u003cfigure id=\"attachment_58094\" class=\"wp-caption alignnone\" style=\"max-width: 1428px\">\u003cimg class=\"wp-image-58094 size-full\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-5.png\" alt=\"\" width=\"1428\" height=\"796\" srcset=\"https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-5.png 1428w, https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-5-800x446.png 800w, https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-5-1020x569.png 1020w, https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-5-160x89.png 160w, https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-5-768x428.png 768w\" sizes=\"(max-width: 1428px) 100vw, 1428px\">\u003cfigcaption class=\"wp-caption-text\">Ishmael Brown Jr. works through a lesson on quadratic formulas. Few students spoke up with questions and comments during algebra I classes this year, say teachers and students. \u003ccite>( Ishmael Brown Jr.)\u003c/cite>\u003c/figcaption>\u003c/figure>\n\u003cp>Districts are scrambling to figure out what to do for the students who have gotten behind. “I think that’s the whole problem: What are we going to do?” said Paul Green, superintendent of the Jackson Independent School District. He’s loath to fail students who have lost ground. But he said there’s no way they've gotten the skills to move to higher math. One alternative in his state is repeating the class: In April the Kentucky governor signed a \u003ca href=\"https://education.ky.gov/districts/Documents/SB%20128%20Guidance.pdf\">law\u003c/a> that lets students retake courses from the current academic year in 2021-22.\u003c/p>\n\u003cp>It’s not clear that will help — research has \u003ca href=\"https://hechingerreport.org/california-study-finds-harm-repeating-algebra-questions-whether-benefits-anyone/\">shown\u003c/a> that having students repeat algebra I doesn’t raise performance.\u003c/p>\n\u003cp>There’s another way, say math teaching experts. Steele, who studies high school policies and practices related to algebra I, is advising teachers to slow down this fall — a strategy that, confusingly, the U.S. Department of Education and others have labeled “accelerated learning.” It involves schools’ putting extra time into figuring out which concepts kids missed and revisiting those, all the while keeping them at grade-level math.\u003c/p>\n\u003cp>Steele points to a task teachers could use in next year’s 10th grade geometry class. Students are asked to fold two standard 8.5-by-11-inch pieces of paper to create two rectangular prisms, one taller and thinner, the other shorter and fatter. They fill each with popcorn and soon learn the prisms hold different amounts. (The exercise is from the book “Taking Action: Implementing Effective Mathematics Teaching Practices in Grades 9-12,” published by the National Council of Teachers of Mathematics.)\u003c/p>\n\u003cp>The students are then asked to use algebraic formulas for determining volume — which they would have covered in middle school math and algebra I — to explain why. Steele likes the problem because it gives teachers the chance to review algebra concepts. A report last June from the Council of the Great City Schools, a coalition of large urban school systems, recommended similar strategies.\u003c/p>\n\u003cp>Mykea Young has used that just-in-time approach with students in her ninth grade algebra I class all year. She teaches at Forest Park High School outside Atlanta, and her students have been online five days a week. One day in February, she launched into an exercise in which students were to graph linear equations. A minute or so in, the lesson foundered — students didn’t remember quadrants, X-axes and Y-axes, concepts that were covered in their middle school math. She dropped her lesson plan, instead pulling up an online graphing tool that let them refresh their skills. “I have to think on my feet,” she said.\u003c/p>\n\u003cp>Tonya Clarke, K-12 math coordinator for the Clayton County school district where Forest Park High is located, said having teachers fill knowledge gaps like that quickly, as they arise — while keeping kids at grade-level math — is central to the district’s strategy for getting students back on track next year.\u003c/p>\n\u003cp>Levenson has mapped out changes in scheduling and personnel to fill those learning gaps. Now a senior adviser at District Management Group, a consulting firm helping school district leaders, he worked with the Louisiana Department of Education on a \u003ca href=\"https://www.louisianabelieves.com/docs/default-source/academics/staffing-and-scheduling-guidance.pdf\">plan\u003c/a> for this fall that involves keeping students at grade-level instruction by building catch-up classes right into the regular school day.\u003c/p>\n\u003cp>If teachers in a regular class period spot kids having trouble creating equations, those students will be grouped into a catch-up period later in the day in which a strong math teacher gives them help with that skill. Those extra periods could also include tutoring. (A study \u003ca href=\"https://hechingerreport.org/proof-points-research-evidence-increases-for-intensive-tutoring/\">released\u003c/a> in March found that students who received a period of “high-dosage tutoring” — meaning every day or almost every day — learned two to three times as much math as their peers.)\u003c/p>\n\u003cp>That plan will cost money because it likely means hiring highly qualified teachers to deliver the extra catch-up periods, said Levenson. Those dollars are on the way: The federal American Rescue Plan signed into law in March gives states additional millions to reopen schools and requires districts to devote at least 20 percent of what they get to addressing learning losses.\u003c/p>\n\u003cp>Slowing down high school math might be just what’s needed now, say some experts. Starting in the early 1990s, schools and parents pushed ever more eighth graders to take algebra I. But studies of district policies requiring eighth grade algebra show they didn’t improve, and often hurt, student achievement in math.\u003c/p>\n\u003cp>One goal of that early-algebra trend was to get more kids through calculus and onto a STEM degree track. That’s because in the traditional setup, three yearlong courses are required between algebra I and calculus, so getting to calculus by senior year means finishing algebra I by eighth grade. But the pandemic has accelerated a trend away from that rigid model, said Steele: More schools are allowing kids to mix and match math classes later in high school, like taking algebra II and precalculus in the same year.*\u003c/p>\n\u003cp>Giving kids extra tools next year could boost grades and confidence. At J.P. Taravella High School in Florida, Reid struggled with polynomial equations in a class several weeks ago, but got help the next day in a Saga tutoring session that is built into her regular school schedule. How does she feel about doing polynomials now? “I don’t feel great about it, but I know I can do it,” she said.\u003c/p>\n\u003cp>“Figuring out challenging things makes you feel better,” she added. “It makes you feel invincible.”\u003c/p>\n\u003cp>\u003cem>*This story has been corrected to note that more schools are allowing students to take algebra II and precalculus in the same year.\u003c/em>\u003c/p>\n\u003cp>[ad floatright]\u003c/p>\n\u003cp>\u003cem>This story about algebra was produced by \u003c/em>\u003ca href=\"http://hechingerreport.org/\">\u003cem>The Hechinger Report\u003c/em>\u003c/a>\u003cem>, a nonprofit, independent news organization focused on inequality and innovation in education. Sign up for \u003c/em>\u003ca href=\"http://eepurl.com/c36ixT\">\u003cem>Hechinger’s newsletter\u003c/em>\u003c/a>\u003cem>.\u003c/em>\u003c/p>\n\n","disqusIdentifier":"58090 https://ww2.kqed.org/mindshift/?p=58090","disqusUrl":"https://ww2.kqed.org/mindshift/2021/07/13/how-to-help-students-succeed-in-algebra-1-this-year/","stats":{"hasVideo":false,"hasChartOrMap":false,"hasAudio":false,"hasPolis":false,"wordCount":2485,"hasGoogleForm":false,"hasGallery":false,"hasHearkenModule":false,"iframeSrcs":[],"paragraphCount":38},"modified":1626453745,"excerpt":"Algebra 1 carries a lot consequences – making the difference between a STEM career and dropping out of high school – and this year the warning signs are everywhere that students have fallen behind. ","headData":{"twImgId":"","twTitle":"","ogTitle":"","ogImgId":"","twDescription":"","description":"Algebra 1 carries a lot consequences – making the difference between a STEM career and dropping out of high school – and this year the warning signs are everywhere that students have fallen behind. ","title":"How to Help Students Succeed in Algebra 1 This Year - MindShift","ogDescription":"","schema":{"@context":"http://schema.org","@type":"Article","headline":"How to Help Students Succeed in Algebra 1 This Year","datePublished":"2021-07-13T01:10:14-07:00","dateModified":"2021-07-16T09:42:25-07:00","image":"https://cdn.kqed.org/wp-content/uploads/2020/02/KQED-OG-Image@1x.png"}},"guestAuthors":[],"slug":"how-to-help-students-succeed-in-algebra-1-this-year","status":"publish","nprByline":"Steven Yoder, \u003ca href=\"https://hechingerreport.org/\">The Hechinger Report\u003c/a>","path":"/mindshift/58090/how-to-help-students-succeed-in-algebra-1-this-year","audioTrackLength":null,"parsedContent":[{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003cp>\u003cem>This story is a part of \u003ca href=\"https://hechingerreport.org/lessons-learned/\" target=\"_blank\" rel=\"noopener noreferrer\">Lessons Learned\u003c/a>, a series of stories exploring the evidence behind ideas to help children catch up and move ahead after the coronavirus pandemic.\u003c/em>\u003c/p>\n\u003cp>Ishmael Brown Jr. is a stickler for notes when he teaches algebra I to ninth graders at Spring Valley High School in Columbia, South Carolina. After he gives students a problem, he typically walks around and watches how they’re solving it; he wants to see their reasoning with the answer. Not so this year: As of May, only about a sixth of his students were in person and the rest online.\u003c/p>\n\u003cp>With so many web tools out there that solve math problems, it’s easy for Brown’s online students to find a shortcut to answers and the calculations that go with them. So he has no idea if they’re learning.\u003c/p>\n\u003cp>Connecting with kids has been a struggle, too. Brown’s virtual students aren’t required to turn on their cameras, so he can’t tell whether they’re paying attention. Few speak up. In person, his classes are fun, and the students engaged: “I relate whatever it is that we're doing to something closer to real life,” he said.\u003c/p>\n\u003cp>The effects are showing up in test scores. In his intermediate algebra class — the second semester of algebra I — 30 percent of his students are passing tests, compared with close to 70 percent in previous years. “I really don’t think that they’re growing,” said Brown, who’s also president of the National Tutoring Association. “I think this is a lost school year for most kids.”\u003c/p>\n\u003cp>\u003c/p>\u003c/div>","attributes":{"named":{},"numeric":[]}},{"type":"component","content":"","name":"ad","attributes":{"named":{"label":"fullwidth"},"numeric":["fullwidth"]}},{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003c/p>\n\u003cp>Similar stories are coming in from all over the country. Educators and school leaders are scrambling to figure out how to regain ground next year in a course that often makes or breaks students’ life chances.\u003c/p>\n\u003cp>Later, math is what most often keeps students from graduating from college, experts say. Only half of students who take college algebra score C or higher in the course, a 2015 \u003ca href=\"https://www.maa.org/sites/default/files/pdf/CommonVisionFinal.pdf\">report\u003c/a> by the Mathematical Association of America noted. Math courses are “the most significant barrier to degree completion in both STEM and non-STEM fields,” the authors concluded.\u003c/p>\n\u003cp>That means algebra I is also the class that decides whether students get jobs involving science, technology, engineering or math. “Algebra I is the air you breathe to be in STEM,” said Nathan Levenson, a former CEO of a crane-manufacturing company and later a school superintendent in Massachusetts.\u003c/p>\n\u003cp>For many students it’s been a lonely year, and algebra is tougher to learn while peering at a screen, say teachers and researchers.\u003c/p>\n\u003cfigure id=\"attachment_58093\" class=\"wp-caption alignnone\" style=\"max-width: 1428px\">\u003cimg class=\"wp-image-58093 size-full\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-4.png\" alt=\"\" width=\"1428\" height=\"796\" srcset=\"https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-4.png 1428w, https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-4-800x446.png 800w, https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-4-1020x569.png 1020w, https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-4-160x89.png 160w, https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-4-768x428.png 768w\" sizes=\"(max-width: 1428px) 100vw, 1428px\">\u003cfigcaption class=\"wp-caption-text\">Ishmael Brown Jr. introduces a lesson on quadratic formulas. Few students spoke up with questions and comments during algebra I classes this year, say teachers and students. \u003ccite>(Ishmael Brown Jr.)\u003c/cite>\u003c/figcaption>\u003c/figure>\n\u003cp>School leaders and teachers are puzzling through a tough equation: how to keep students who missed out on a lot of algebra I content moving through grade-level math next year, usually geometry. Teaching experts say that will mean slowing down to fill in knowledge gaps —detouring from lesson plans, adding extra periods for tutoring, and more. Schools will need to put in “quality time this fall understanding what kids know and what they're able to do” and then building on that, says Michael Steele, a professor of mathematics education at the University of Wisconsin-Milwaukee.\u003c/p>\n\u003cp>At Jackson City School in Kentucky, teacher Jeffrey Coots has had about two-thirds of his algebra I students online all year. Even some of his strongest math students from prior years have struggled to stay motivated working virtually and have gotten behind. He doesn’t know what’s happening at home, and connections are often spotty — the district is located in Breathitt County, one of the nation’s poorest.\u003c/p>\n\u003cp>“It’s really hard essentially losing a student who you know has just great things ahead of them,” he said. “I’m very worried. I think of math like Legos — you can't build a house if you don't have that first foundation.”\u003c/p>\n\u003cp>Keeping kids connected is just one problem. Teachers don’t get enough training to begin with and certainly haven’t been trained to teach math remotely, said Mark Goldstein, vice president of curriculum and instruction at the nonprofit Center for Mathematics and Teaching. So teachers have been learning new software platforms on the go. In a group of 30 students in an online platform, they can’t watch everyone and check their students’ body language as in the classroom, he said. Breakout rooms are even harder to monitor.\u003c/p>\n\u003cp>And often teachers haven’t had time to cover anything in depth. Heuvelton Central School in northwestern New York State used a hybrid schedule for middle school and high school most of the year: two groups of students on alternating schedules are in person two days a week each. The other three days they’re on their own to do homework. With only two days a week to present new material, algebra I teacher Eliza Pierce has had to skim — the class isn’t diving into the really hard problems, she said. When her students hit geometry next year in 10th grade, they’re going to be “shellshocked” if they have to move at the same pace as in past years, she said.\u003c/p>\n\u003cfigure id=\"attachment_58092\" class=\"wp-caption alignnone\" style=\"max-width: 1920px\">\u003cimg class=\"wp-image-58092 size-full\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-6-scaled-e1626127090945.jpeg\" alt=\"\" width=\"1920\" height=\"1440\">\u003cfigcaption class=\"wp-caption-text\">Algebra teacher Eliza Pierce reviews polynomial equations with her in-person and remote students in preparation for end-of-year tests at Heuvelton Central School in northwestern New York State. \u003ccite>(Jesse Coburn)\u003c/cite>\u003c/figcaption>\u003c/figure>\n\u003cp>Students, too, have been struggling with all the new software, said Veronica Tenesaca, a tutor with Saga Education, which matches tutors with traditionally underserved students. She reels off the names of four new apps her students have had to learn for their algebra courses.\u003c/p>\n\u003cp>Even students who have done well working virtually don’t love online learning. Zyonne Reid, a 15-year-old at J.P. Taravella High School in Florida, hasn’t wanted to speak up in her large algebra I class that meets on Microsoft Teams. “Since it’s online, teachers don’t notice you’re struggling,” she said. “And you don’t want to take up the other people’s time by asking a question.”\u003c/p>\n\u003cp>Hafez Elachkar, 14, goes to Dearborn High School in Michigan. He hated math in previous years but likes his algebra I teacher, who relates what the class is learning to real life, and he’s using some of his algebra to help out in his father’s shoe business. But few students participate or ask questions, he said. When they break out into group work, no one talks except him. He’d never trade in-person math for the online version, he said.\u003c/p>\n\u003cp>Urban school districts like his were most likely to be fully online this year. Almost 80 percent of city districts planned to start last fall fully remote, versus 34 percent in the suburbs and 13 percent in rural areas, according to an August 2020 report by the University of Washington’s Center on Reinventing Public Education.\u003c/p>\n\u003cp>Organizations that tutor students in low-income districts see achievement indicators flashing red. Peer Power, a Memphis nonprofit that matches tutors with students in eight area public schools, started 16 years ago with a laser focus on algebra I after a local principal noticed that students who failed the course ended up dropping out of high school.\u003c/p>\n\u003cp>This year, the group is watching students flounder in algebra despite its help, according to Chris Xa, vice president of the Peer Power Institute at the University of Memphis, which supports Peer Power’s research, funding and training of tutors. He said that by the third quarter of a normal academic year, 50 to 65 percent of kids matched with tutors are getting A’s and B’s in algebra I. This year it’s only 30 percent. UPchieve, a nonprofit that pairs low-income students with free tutors through an online platform, says students have requested 14 times more tutoring sessions in algebra I or II this year than last year.\u003c/p>\n\u003cfigure id=\"attachment_58094\" class=\"wp-caption alignnone\" style=\"max-width: 1428px\">\u003cimg class=\"wp-image-58094 size-full\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-5.png\" alt=\"\" width=\"1428\" height=\"796\" srcset=\"https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-5.png 1428w, https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-5-800x446.png 800w, https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-5-1020x569.png 1020w, https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-5-160x89.png 160w, https://ww2.kqed.org/app/uploads/sites/23/2021/07/Yoder-algebra-5-768x428.png 768w\" sizes=\"(max-width: 1428px) 100vw, 1428px\">\u003cfigcaption class=\"wp-caption-text\">Ishmael Brown Jr. works through a lesson on quadratic formulas. Few students spoke up with questions and comments during algebra I classes this year, say teachers and students. \u003ccite>( Ishmael Brown Jr.)\u003c/cite>\u003c/figcaption>\u003c/figure>\n\u003cp>Districts are scrambling to figure out what to do for the students who have gotten behind. “I think that’s the whole problem: What are we going to do?” said Paul Green, superintendent of the Jackson Independent School District. He’s loath to fail students who have lost ground. But he said there’s no way they've gotten the skills to move to higher math. One alternative in his state is repeating the class: In April the Kentucky governor signed a \u003ca href=\"https://education.ky.gov/districts/Documents/SB%20128%20Guidance.pdf\">law\u003c/a> that lets students retake courses from the current academic year in 2021-22.\u003c/p>\n\u003cp>It’s not clear that will help — research has \u003ca href=\"https://hechingerreport.org/california-study-finds-harm-repeating-algebra-questions-whether-benefits-anyone/\">shown\u003c/a> that having students repeat algebra I doesn’t raise performance.\u003c/p>\n\u003cp>There’s another way, say math teaching experts. Steele, who studies high school policies and practices related to algebra I, is advising teachers to slow down this fall — a strategy that, confusingly, the U.S. Department of Education and others have labeled “accelerated learning.” It involves schools’ putting extra time into figuring out which concepts kids missed and revisiting those, all the while keeping them at grade-level math.\u003c/p>\n\u003cp>Steele points to a task teachers could use in next year’s 10th grade geometry class. Students are asked to fold two standard 8.5-by-11-inch pieces of paper to create two rectangular prisms, one taller and thinner, the other shorter and fatter. They fill each with popcorn and soon learn the prisms hold different amounts. (The exercise is from the book “Taking Action: Implementing Effective Mathematics Teaching Practices in Grades 9-12,” published by the National Council of Teachers of Mathematics.)\u003c/p>\n\u003cp>The students are then asked to use algebraic formulas for determining volume — which they would have covered in middle school math and algebra I — to explain why. Steele likes the problem because it gives teachers the chance to review algebra concepts. A report last June from the Council of the Great City Schools, a coalition of large urban school systems, recommended similar strategies.\u003c/p>\n\u003cp>Mykea Young has used that just-in-time approach with students in her ninth grade algebra I class all year. She teaches at Forest Park High School outside Atlanta, and her students have been online five days a week. One day in February, she launched into an exercise in which students were to graph linear equations. A minute or so in, the lesson foundered — students didn’t remember quadrants, X-axes and Y-axes, concepts that were covered in their middle school math. She dropped her lesson plan, instead pulling up an online graphing tool that let them refresh their skills. “I have to think on my feet,” she said.\u003c/p>\n\u003cp>Tonya Clarke, K-12 math coordinator for the Clayton County school district where Forest Park High is located, said having teachers fill knowledge gaps like that quickly, as they arise — while keeping kids at grade-level math — is central to the district’s strategy for getting students back on track next year.\u003c/p>\n\u003cp>Levenson has mapped out changes in scheduling and personnel to fill those learning gaps. Now a senior adviser at District Management Group, a consulting firm helping school district leaders, he worked with the Louisiana Department of Education on a \u003ca href=\"https://www.louisianabelieves.com/docs/default-source/academics/staffing-and-scheduling-guidance.pdf\">plan\u003c/a> for this fall that involves keeping students at grade-level instruction by building catch-up classes right into the regular school day.\u003c/p>\n\u003cp>If teachers in a regular class period spot kids having trouble creating equations, those students will be grouped into a catch-up period later in the day in which a strong math teacher gives them help with that skill. Those extra periods could also include tutoring. (A study \u003ca href=\"https://hechingerreport.org/proof-points-research-evidence-increases-for-intensive-tutoring/\">released\u003c/a> in March found that students who received a period of “high-dosage tutoring” — meaning every day or almost every day — learned two to three times as much math as their peers.)\u003c/p>\n\u003cp>That plan will cost money because it likely means hiring highly qualified teachers to deliver the extra catch-up periods, said Levenson. Those dollars are on the way: The federal American Rescue Plan signed into law in March gives states additional millions to reopen schools and requires districts to devote at least 20 percent of what they get to addressing learning losses.\u003c/p>\n\u003cp>Slowing down high school math might be just what’s needed now, say some experts. Starting in the early 1990s, schools and parents pushed ever more eighth graders to take algebra I. But studies of district policies requiring eighth grade algebra show they didn’t improve, and often hurt, student achievement in math.\u003c/p>\n\u003cp>One goal of that early-algebra trend was to get more kids through calculus and onto a STEM degree track. That’s because in the traditional setup, three yearlong courses are required between algebra I and calculus, so getting to calculus by senior year means finishing algebra I by eighth grade. But the pandemic has accelerated a trend away from that rigid model, said Steele: More schools are allowing kids to mix and match math classes later in high school, like taking algebra II and precalculus in the same year.*\u003c/p>\n\u003cp>Giving kids extra tools next year could boost grades and confidence. At J.P. Taravella High School in Florida, Reid struggled with polynomial equations in a class several weeks ago, but got help the next day in a Saga tutoring session that is built into her regular school schedule. How does she feel about doing polynomials now? “I don’t feel great about it, but I know I can do it,” she said.\u003c/p>\n\u003cp>“Figuring out challenging things makes you feel better,” she added. “It makes you feel invincible.”\u003c/p>\n\u003cp>\u003cem>*This story has been corrected to note that more schools are allowing students to take algebra II and precalculus in the same year.\u003c/em>\u003c/p>\n\u003cp>\u003c/p>\u003c/div>","attributes":{"named":{},"numeric":[]}},{"type":"component","content":"","name":"ad","attributes":{"named":{"label":"floatright"},"numeric":["floatright"]}},{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003c/p>\n\u003cp>\u003cem>This story about algebra was produced by \u003c/em>\u003ca href=\"http://hechingerreport.org/\">\u003cem>The Hechinger Report\u003c/em>\u003c/a>\u003cem>, a nonprofit, independent news organization focused on inequality and innovation in education. Sign up for \u003c/em>\u003ca href=\"http://eepurl.com/c36ixT\">\u003cem>Hechinger’s newsletter\u003c/em>\u003c/a>\u003cem>.\u003c/em>\u003c/p>\n\n\u003c/div>\u003c/p>","attributes":{"named":{},"numeric":[]}}],"link":"/mindshift/58090/how-to-help-students-succeed-in-algebra-1-this-year","authors":["byline_mindshift_58090"],"categories":["mindshift_193"],"tags":["mindshift_21440","mindshift_276","mindshift_21343","mindshift_358","mindshift_20701","mindshift_20893","mindshift_21347","mindshift_391","mindshift_21413"],"featImg":"mindshift_58091","label":"mindshift"},"mindshift_56564":{"type":"posts","id":"mindshift_56564","meta":{"index":"posts_1716263798","site":"mindshift","id":"56564","score":null,"sort":[1601280711000]},"parent":0,"labelTerm":{"site":"mindshift"},"blocks":[],"publishDate":1601280711,"format":"standard","disqusTitle":"How Encouraging Rough Draft Thinking in Math Class Highlights the Strengths of All Students","title":"How Encouraging Rough Draft Thinking in Math Class Highlights the Strengths of All Students","headTitle":"MindShift | KQED News","content":"\u003cp>\u003ci>\u003cspan style=\"font-weight: 400\">This is the first article in a\u003ca href=\"https://www.kqed.org/mindshift/56566/what-it-looks-like-when-students-share-and-revise-rough-drafts-in-math-class\"> two-part\u003c/a> series about rough draft math, a concept that applies a process from language arts — creating, discussing and revising rough drafts — to math classrooms. In this Q&A, \u003c/span>\u003c/i>\u003ca href=\"https://twitter.com/MandyMathEd\">\u003ci>\u003cspan style=\"font-weight: 400\">Amanda Jansen\u003c/span>\u003c/i>\u003c/a>\u003ci>\u003cspan style=\"font-weight: 400\">, a University of Delaware math education researcher, discusses how framing math as a shared exploration, rather than a set of right or wrong steps, enables more students to develop math competence and confidence. Jansen is the author of \u003c/span>\u003c/i>\u003ca href=\"https://www.stenhouse.com/content/rough-draft-math\">\u003ci>\u003cspan style=\"font-weight: 400\">Rough Draft Math: Revising to Learn\u003c/span>\u003c/i>\u003c/a>\u003ci>\u003cspan style=\"font-weight: 400\">, published this year by Stenhouse. In \u003ca href=\"https://www.kqed.org/mindshift/56566/what-it-looks-like-when-students-share-and-revise-rough-drafts-in-math-class\">part two\u003c/a>, learn some strategies for how to foster rough draft talk and how to structure revisions in math classrooms.\u003c/span>\u003c/i>\u003c/p>\n\u003cp>\u003cb>You wrote that it is your dream for mathematics classrooms to shift from places of performance to places of exploration. What does that mean?\u003c/b>\u003c/p>\n\u003cp>\u003cb>Jansen: \u003c/b>\u003cspan style=\"font-weight: 400\">When I think about math class being a place for performance, I think about the experiences that we may have had when we're asked to talk about our thinking and we find it as if we're being judged. “Correct.” “Not correct.” And it's in public, in front of everyone. It’s more of an evaluation space in that moment. Instead, discussions can be a place where we're all learning together from what anyone shares. If we shift our role as a teacher from an evaluator to more of someone that's making sense out of ideas along with people, that's a very different way of interacting. And the job of a student in the classroom is different. I'm going to \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/56136/talking-math-with-tweens-how-to-bring-math-into-daily-life-with-middle-schoolers\">\u003cspan style=\"font-weight: 400\">explore with you\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. I'm going to share that idea. I'm not sure about it. And it's OK. And there's going to be something that we can learn from anyone's idea.\u003c/span>\u003c/p>\n\u003cp>\u003cb>It might be more intuitive the ways that this approach can benefit students who struggle with math. How does it also benefit students who get the correct answer the first time?\u003c/b>\u003c/p>\n\u003cp>\u003cb>Jansen: \u003c/b>\u003cspan style=\"font-weight: 400\">Really it opens up \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/54389/3-ways-to-shape-math-into-a-positive-experience\">\u003cspan style=\"font-weight: 400\">what it means to be good at math\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. Not just getting a correct answer quickly. So initially it's hard, but in the bigger picture, it's more liberating for all the students because they can start to see how they're contributing to their colleagues’ learning in a lot of \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/53767/getting-physical-how-the-flagway-game-sparks-learning-and-love-of-math\">\u003cspan style=\"font-weight: 400\">different ways\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. Ultimately, after that initial shift, people do start to get more excited, like, “Wow, my ideas actually matter. My thinking actually matters in that space. My ideas have value.” Everyone feels included in that kind of environment.\u003c/span>\u003c/p>\n\u003cp>[ad fullwidth]\u003c/p>\n\u003cp>\u003cb>You alluded to how speed is often seen as the marker of math success. What are some other ways of being smart in math that can be highlighted via rough draft thinking?\u003c/b>\u003c/p>\n\u003cp>\u003cb>Jansen: \u003c/b>\u003cspan style=\"font-weight: 400\">You can ask a question about someone else's thinking, and it could \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/54504/three-simple-tech-tools-to-make-math-thinking-visible\">\u003cspan style=\"font-weight: 400\">help the whole class learn something more\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. You can notice how two people's ideas are related, and then you're making a new connection. You can represent somebody else's thinking in a new way, like a \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/55961/how-sidewalk-math-cultivates-a-playful-curious-attitude-towards-math\">\u003cspan style=\"font-weight: 400\">drawing\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> or a graph. You can write an explanation that makes more sense to the class than what the teacher's explanation communicated. So there are all kinds of ways that the students can then contribute to help the whole class learn more that's not about getting an answer correct quickly. And those ideas are not new for rough draft math. They're really rooted in the ideas of \u003c/span>\u003ca href=\"https://complexinstruction.stanford.edu/\">\u003cspan style=\"font-weight: 400\">complex instruction\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">.\u003c/span>\u003c/p>\n\u003cp>\u003cb>\u003ca href=\"https://www.stenhouse.com/content/rough-draft-math\">\u003cimg class=\"alignright wp-image-56707\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2020/08/Rough-Draft-Math_Jansen_final-cover_web-rgb.jpg\" alt=\"\" width=\"200\" height=\"251\" srcset=\"https://ww2.kqed.org/app/uploads/sites/23/2020/08/Rough-Draft-Math_Jansen_final-cover_web-rgb.jpg 560w, https://ww2.kqed.org/app/uploads/sites/23/2020/08/Rough-Draft-Math_Jansen_final-cover_web-rgb-160x201.jpg 160w\" sizes=\"(max-width: 200px) 100vw, 200px\">\u003c/a>Your book takes us inside some classrooms to show how teachers facilitate students sharing solution strategies before they've refined them. How does this benefit both the speaker and the listener?\u003c/b>\u003c/p>\n\u003cp>\u003cb>Jansen: \u003c/b>\u003cspan style=\"font-weight: 400\">The speaker is benefiting in a few ways. Every time we're being asked to articulate our thinking we make new connections or crystallize our ideas just by trying to put them into words or trying to put them into writing. And the class is going to try and make sense out of what they shared, so then they have that experience of their \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/54486/how-collaboration-unlocks-learning-and-lessens-student-isolation\">\u003cspan style=\"font-weight: 400\">ideas being taken seriously in the community\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. Hopefully multiple people are asked to share and there's a conversation about that person's thinking, so who’s the speaker and who's the listener should start shifting pretty quickly. But if you are listening in whatever moment, you're benefiting because you're thinking about what they said, you may get a new perspective on how to think about an idea that you hadn't thought about before. You might feel validated, as if, “Oh, this person thinks in ways that are similar to me.” You could feel challenged. And you could feel interested in helping that person revise.\u003c/span>\u003c/p>\n\u003cp>\u003cb>The book also includes different methods for enabling students to \u003c/b>\u003ca href=\"https://www.kqed.org/mindshift/53524/how-revising-math-exams-turns-students-into-learners-not-processors\">\u003cb>revise their work\u003c/b>\u003c/a>\u003cb> and to reflect on their revisions. Why is reflection important?\u003c/b>\u003c/p>\n\u003cp>\u003cb>Jansen:\u003c/b>\u003cspan style=\"font-weight: 400\"> There's a phenomenon that when you understand something new and you develop a deep understanding for it, you feel like you've always known it. \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/54983/10-nonfiction-childrens-books-that-humanize-mathematics\">\u003cspan style=\"font-weight: 400\">Honoring that history\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> of how the idea came to evolve helps you when you hit a new topic that's very amorphous and challenging to understand. It \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/53404/why-normalizing-struggle-can-create-a-better-math-experience-for-kids\">\u003cspan style=\"font-weight: 400\">normalizes\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> and reminds you about the ongoing learning process. At the same time, I think it creates this sense of intellectual connection to the other people in the room. You realize that we all need each other, that it's a great opportunity to be able to \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/55327/how-hands-on-projects-can-deepen-math-learning-for-teens\">\u003cspan style=\"font-weight: 400\">learn with other people\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">.\u003c/span>\u003c/p>\n\u003cp>\u003cb>How might these practices improve racial, gender or socioeconomic equity in math classrooms?\u003c/b>\u003c/p>\n\u003cp>\u003cb>Jansen: \u003c/b>\u003cspan style=\"font-weight: 400\">There may be students who are consistently seen by their peers as not being academically strong in whatever way. Sometimes those ways of seeing their peers might fall under racial lines or gender lines. And if, through rough drafts, everyone's ideas have strengths in them and the teacher points out what's valuable about the drafts, and then their peers start to point out what's valuable, then everyone is seeing each other as having some mathematical strengths. That's a powerful thing that we should all be doing for each other all the time.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">There are things to be concerned about so we don't create \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/43704/is-quality-math-preparation-the-next-equity-battleground\">\u003cspan style=\"font-weight: 400\">additional equity dilemmas\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> when we're dealing with rough drafts. One is whose work is being positioned as being rough, and whose work is being positioned as more refined. So I started keeping track in my own class with a clipboard: Who is being called upon in what time in the lesson? Are we only calling on girls in the rough drafts or positioning Black or brown students as having rough draft thinking? They can also have \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/54986/how-black-girls-benefit-when-math-has-social-interaction-and-ways-to-learn-together\">\u003cspan style=\"font-weight: 400\">brilliant, refined thinking\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> and we need to make sure not only are they having a \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/56393/why-student-voice-is-critical-for-managing-discipline-when-schools-reopen\">\u003cspan style=\"font-weight: 400\">voice\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">, but their strengths are being really looked at.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Rough draft math involves more discussion of problems than many of us experienced in math class. How does this work out for \u003c/b>\u003ca href=\"https://www.kqed.org/mindshift/tag/introvert\">\u003cb>quiet kids\u003c/b>\u003c/a>\u003cb>?\u003c/b>\u003c/p>\n\u003cp>\u003cb>Jansen:\u003c/b>\u003cspan style=\"font-weight: 400\"> I think that also rough draft math should involve \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/50640/how-reading-novels-in-math-class-can-strengthen-student-engagement\">\u003cspan style=\"font-weight: 400\">writing\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. A lot of the revision practices are individual. So there is a lot of discussion with rough draft spaces, but there's also these built-in individual revision opportunities that everyone should be experiencing because individual writing is also the space where your thinking continues to grow. However, when I have (quieter students), I do gently challenge them to share, because if they aren't sharing in the public space, their colleagues are missing out on their ideas.\u003c/span>\u003c/p>\n\u003cp>\u003cb>What differences do you see in students’ affect and engagement when they feel safe to refine and revise their thinking?\u003c/b>\u003c/p>\n\u003cp>\u003cb>Jansen:\u003c/b>\u003cspan style=\"font-weight: 400\"> People show up with this sense of just feeling happy to be there. They are uniquely interested in each other's thinking because they know that they're learning in community to develop ideas together. They are more likely to just put something out there, whether it's in the group work that they're working on or coming up to the document camera to share their thinking. There's less waiting for a student to volunteer. There just seems to be a little less \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/tag/math-anxiety\">\u003cspan style=\"font-weight: 400\">stress\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. People also tend to feel proud. If someone's recognizing that their ideas helped them, they feel this sense of pride.\u003c/span>\u003c/p>\n\u003cp>\u003cb>What are some of the barriers to teachers adopting this approach?\u003c/b>\u003c/p>\n\u003cp>\u003cb>Jansen: \u003c/b>\u003cspan style=\"font-weight: 400\">If you've never experienced a space that encourages those ideas, that's hard to recreate. If you do have this vision rooted in some experiences, what takes more time for folks is building in revision experiences. At first it’s the initial setting up of revision expectations that takes more time. Then, over time, adding in the revision isn't as much work. It takes less time than we think it will after we do this many times with students. And teachers I have known have used rough drafts with honors classes, with classes that have a lot of special education students, English language learners, and they’ve reported benefits.\u003c/span>\u003c/p>\n\u003cp>\u003cb>What can rough draft math look like in \u003c/b>\u003ca href=\"https://www.kqed.org/mindshift/tag/distance-learning\">\u003cb>online teaching\u003c/b>\u003c/a>\u003cb>?\u003c/b>\u003c/p>\n\u003cp>\u003cb>Jansen: \u003c/b>\u003cspan style=\"font-weight: 400\">(For synchronous learning), you can do a lot of communicating to students that \u003ca href=\"https://www.kqed.org/mindshift/56570/6-classroom-strategies-that-work-for-generating-student-discussions-online\">their ideas are valuable\u003c/a> and making sure you're helping them elicit the drafts. A lot of people have had success using Google slides where you can still put the students in small groups to write up their thinking and then have the groups look at each other's slides and talk in the in the whole group and then go back and revise your slides and then write in the notes how you changed your ideas and why. You can even, at the end of class, have them write a Google form reflection about how their thinking changed and why. For asynchronous, I've seen folks have some success using discussion boards. So essentially the principle of giving people the opportunity to share their first thinking and then revise it. You can imagine different structures online that people have had success with. But it's also a lot of us, this year, we knew folks face to face for a period of time before we went online. So now people are talking about what does it take to set up the classroom culture when we may need to be online from the beginning? What kinds of \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/54980/why-teachers-want-math-with-more-human-ties\">\u003cspan style=\"font-weight: 400\">relationship building experiences\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> do we need to do?\u003c/span>\u003c/p>\n\u003cp>\u003cb>How can teachers apply the principles of rough draft thinking to how they reflect their own successes and failures in the classroom?\u003c/b>\u003c/p>\n\u003cp>[ad floatright]\u003c/p>\n\u003cp>\u003cb>Jansen: \u003c/b>\u003cspan style=\"font-weight: 400\">I've found that if I treat my work as a teacher as a draft, then a misstep is a \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/tag/growth-mindset\">\u003cspan style=\"font-weight: 400\">learning opportunity\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">, not something to get frustrated about. I can be proud of trying out the new things I'm trying out and my revisions that I can even apply to the next class. I don't have to wait until the next year or revise. I'm also growing as a learner about the mathematics, because I learn from how my students are making sense out of things, too. I think that's an important thing as a teacher to really make it clear: that we are all learning together.\u003c/span>\u003c/p>\n\n","disqusIdentifier":"56564 https://ww2.kqed.org/mindshift/?p=56564","disqusUrl":"https://ww2.kqed.org/mindshift/2020/09/28/how-encouraging-rough-draft-thinking-in-math-class-highlights-the-strengths-of-all-students/","stats":{"hasVideo":false,"hasChartOrMap":false,"hasAudio":false,"hasPolis":false,"wordCount":1880,"hasGoogleForm":false,"hasGallery":false,"hasHearkenModule":false,"iframeSrcs":[],"paragraphCount":26},"modified":1601310235,"excerpt":null,"headData":{"twImgId":"","twTitle":"","ogTitle":"","ogImgId":"","twDescription":"","description":"This is the first article in a two-part series about rough draft math, a concept that applies a process from language arts — creating, discussing and revising rough drafts — to math classrooms. In this Q&A, Amanda Jansen, a University of Delaware math education researcher, discusses how framing math as a shared exploration, rather than","title":"How Encouraging Rough Draft Thinking in Math Class Highlights the Strengths of All Students - MindShift","ogDescription":"","schema":{"@context":"http://schema.org","@type":"Article","headline":"How Encouraging Rough Draft Thinking in Math Class Highlights the Strengths of All Students","datePublished":"2020-09-28T01:11:51-07:00","dateModified":"2020-09-28T09:23:55-07:00","image":"https://cdn.kqed.org/wp-content/uploads/2020/02/KQED-OG-Image@1x.png"}},"guestAuthors":[],"slug":"how-encouraging-rough-draft-thinking-in-math-class-highlights-the-strengths-of-all-students","status":"publish","path":"/mindshift/56564/how-encouraging-rough-draft-thinking-in-math-class-highlights-the-strengths-of-all-students","audioTrackLength":null,"parsedContent":[{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003cp>\u003ci>\u003cspan style=\"font-weight: 400\">This is the first article in a\u003ca href=\"https://www.kqed.org/mindshift/56566/what-it-looks-like-when-students-share-and-revise-rough-drafts-in-math-class\"> two-part\u003c/a> series about rough draft math, a concept that applies a process from language arts — creating, discussing and revising rough drafts — to math classrooms. In this Q&A, \u003c/span>\u003c/i>\u003ca href=\"https://twitter.com/MandyMathEd\">\u003ci>\u003cspan style=\"font-weight: 400\">Amanda Jansen\u003c/span>\u003c/i>\u003c/a>\u003ci>\u003cspan style=\"font-weight: 400\">, a University of Delaware math education researcher, discusses how framing math as a shared exploration, rather than a set of right or wrong steps, enables more students to develop math competence and confidence. Jansen is the author of \u003c/span>\u003c/i>\u003ca href=\"https://www.stenhouse.com/content/rough-draft-math\">\u003ci>\u003cspan style=\"font-weight: 400\">Rough Draft Math: Revising to Learn\u003c/span>\u003c/i>\u003c/a>\u003ci>\u003cspan style=\"font-weight: 400\">, published this year by Stenhouse. In \u003ca href=\"https://www.kqed.org/mindshift/56566/what-it-looks-like-when-students-share-and-revise-rough-drafts-in-math-class\">part two\u003c/a>, learn some strategies for how to foster rough draft talk and how to structure revisions in math classrooms.\u003c/span>\u003c/i>\u003c/p>\n\u003cp>\u003cb>You wrote that it is your dream for mathematics classrooms to shift from places of performance to places of exploration. What does that mean?\u003c/b>\u003c/p>\n\u003cp>\u003cb>Jansen: \u003c/b>\u003cspan style=\"font-weight: 400\">When I think about math class being a place for performance, I think about the experiences that we may have had when we're asked to talk about our thinking and we find it as if we're being judged. “Correct.” “Not correct.” And it's in public, in front of everyone. It’s more of an evaluation space in that moment. Instead, discussions can be a place where we're all learning together from what anyone shares. If we shift our role as a teacher from an evaluator to more of someone that's making sense out of ideas along with people, that's a very different way of interacting. And the job of a student in the classroom is different. I'm going to \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/56136/talking-math-with-tweens-how-to-bring-math-into-daily-life-with-middle-schoolers\">\u003cspan style=\"font-weight: 400\">explore with you\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. I'm going to share that idea. I'm not sure about it. And it's OK. And there's going to be something that we can learn from anyone's idea.\u003c/span>\u003c/p>\n\u003cp>\u003cb>It might be more intuitive the ways that this approach can benefit students who struggle with math. How does it also benefit students who get the correct answer the first time?\u003c/b>\u003c/p>\n\u003cp>\u003cb>Jansen: \u003c/b>\u003cspan style=\"font-weight: 400\">Really it opens up \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/54389/3-ways-to-shape-math-into-a-positive-experience\">\u003cspan style=\"font-weight: 400\">what it means to be good at math\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. Not just getting a correct answer quickly. So initially it's hard, but in the bigger picture, it's more liberating for all the students because they can start to see how they're contributing to their colleagues’ learning in a lot of \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/53767/getting-physical-how-the-flagway-game-sparks-learning-and-love-of-math\">\u003cspan style=\"font-weight: 400\">different ways\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. Ultimately, after that initial shift, people do start to get more excited, like, “Wow, my ideas actually matter. My thinking actually matters in that space. My ideas have value.” Everyone feels included in that kind of environment.\u003c/span>\u003c/p>\n\u003cp>\u003c/p>\u003c/div>","attributes":{"named":{},"numeric":[]}},{"type":"component","content":"","name":"ad","attributes":{"named":{"label":"fullwidth"},"numeric":["fullwidth"]}},{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003c/p>\n\u003cp>\u003cb>You alluded to how speed is often seen as the marker of math success. What are some other ways of being smart in math that can be highlighted via rough draft thinking?\u003c/b>\u003c/p>\n\u003cp>\u003cb>Jansen: \u003c/b>\u003cspan style=\"font-weight: 400\">You can ask a question about someone else's thinking, and it could \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/54504/three-simple-tech-tools-to-make-math-thinking-visible\">\u003cspan style=\"font-weight: 400\">help the whole class learn something more\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. You can notice how two people's ideas are related, and then you're making a new connection. You can represent somebody else's thinking in a new way, like a \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/55961/how-sidewalk-math-cultivates-a-playful-curious-attitude-towards-math\">\u003cspan style=\"font-weight: 400\">drawing\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> or a graph. You can write an explanation that makes more sense to the class than what the teacher's explanation communicated. So there are all kinds of ways that the students can then contribute to help the whole class learn more that's not about getting an answer correct quickly. And those ideas are not new for rough draft math. They're really rooted in the ideas of \u003c/span>\u003ca href=\"https://complexinstruction.stanford.edu/\">\u003cspan style=\"font-weight: 400\">complex instruction\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">.\u003c/span>\u003c/p>\n\u003cp>\u003cb>\u003ca href=\"https://www.stenhouse.com/content/rough-draft-math\">\u003cimg class=\"alignright wp-image-56707\" src=\"https://ww2.kqed.org/app/uploads/sites/23/2020/08/Rough-Draft-Math_Jansen_final-cover_web-rgb.jpg\" alt=\"\" width=\"200\" height=\"251\" srcset=\"https://ww2.kqed.org/app/uploads/sites/23/2020/08/Rough-Draft-Math_Jansen_final-cover_web-rgb.jpg 560w, https://ww2.kqed.org/app/uploads/sites/23/2020/08/Rough-Draft-Math_Jansen_final-cover_web-rgb-160x201.jpg 160w\" sizes=\"(max-width: 200px) 100vw, 200px\">\u003c/a>Your book takes us inside some classrooms to show how teachers facilitate students sharing solution strategies before they've refined them. How does this benefit both the speaker and the listener?\u003c/b>\u003c/p>\n\u003cp>\u003cb>Jansen: \u003c/b>\u003cspan style=\"font-weight: 400\">The speaker is benefiting in a few ways. Every time we're being asked to articulate our thinking we make new connections or crystallize our ideas just by trying to put them into words or trying to put them into writing. And the class is going to try and make sense out of what they shared, so then they have that experience of their \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/54486/how-collaboration-unlocks-learning-and-lessens-student-isolation\">\u003cspan style=\"font-weight: 400\">ideas being taken seriously in the community\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. Hopefully multiple people are asked to share and there's a conversation about that person's thinking, so who’s the speaker and who's the listener should start shifting pretty quickly. But if you are listening in whatever moment, you're benefiting because you're thinking about what they said, you may get a new perspective on how to think about an idea that you hadn't thought about before. You might feel validated, as if, “Oh, this person thinks in ways that are similar to me.” You could feel challenged. And you could feel interested in helping that person revise.\u003c/span>\u003c/p>\n\u003cp>\u003cb>The book also includes different methods for enabling students to \u003c/b>\u003ca href=\"https://www.kqed.org/mindshift/53524/how-revising-math-exams-turns-students-into-learners-not-processors\">\u003cb>revise their work\u003c/b>\u003c/a>\u003cb> and to reflect on their revisions. Why is reflection important?\u003c/b>\u003c/p>\n\u003cp>\u003cb>Jansen:\u003c/b>\u003cspan style=\"font-weight: 400\"> There's a phenomenon that when you understand something new and you develop a deep understanding for it, you feel like you've always known it. \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/54983/10-nonfiction-childrens-books-that-humanize-mathematics\">\u003cspan style=\"font-weight: 400\">Honoring that history\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> of how the idea came to evolve helps you when you hit a new topic that's very amorphous and challenging to understand. It \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/53404/why-normalizing-struggle-can-create-a-better-math-experience-for-kids\">\u003cspan style=\"font-weight: 400\">normalizes\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> and reminds you about the ongoing learning process. At the same time, I think it creates this sense of intellectual connection to the other people in the room. You realize that we all need each other, that it's a great opportunity to be able to \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/55327/how-hands-on-projects-can-deepen-math-learning-for-teens\">\u003cspan style=\"font-weight: 400\">learn with other people\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">.\u003c/span>\u003c/p>\n\u003cp>\u003cb>How might these practices improve racial, gender or socioeconomic equity in math classrooms?\u003c/b>\u003c/p>\n\u003cp>\u003cb>Jansen: \u003c/b>\u003cspan style=\"font-weight: 400\">There may be students who are consistently seen by their peers as not being academically strong in whatever way. Sometimes those ways of seeing their peers might fall under racial lines or gender lines. And if, through rough drafts, everyone's ideas have strengths in them and the teacher points out what's valuable about the drafts, and then their peers start to point out what's valuable, then everyone is seeing each other as having some mathematical strengths. That's a powerful thing that we should all be doing for each other all the time.\u003c/span>\u003c/p>\n\u003cp>\u003cspan style=\"font-weight: 400\">There are things to be concerned about so we don't create \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/43704/is-quality-math-preparation-the-next-equity-battleground\">\u003cspan style=\"font-weight: 400\">additional equity dilemmas\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> when we're dealing with rough drafts. One is whose work is being positioned as being rough, and whose work is being positioned as more refined. So I started keeping track in my own class with a clipboard: Who is being called upon in what time in the lesson? Are we only calling on girls in the rough drafts or positioning Black or brown students as having rough draft thinking? They can also have \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/54986/how-black-girls-benefit-when-math-has-social-interaction-and-ways-to-learn-together\">\u003cspan style=\"font-weight: 400\">brilliant, refined thinking\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> and we need to make sure not only are they having a \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/56393/why-student-voice-is-critical-for-managing-discipline-when-schools-reopen\">\u003cspan style=\"font-weight: 400\">voice\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">, but their strengths are being really looked at.\u003c/span>\u003c/p>\n\u003cp>\u003cb>Rough draft math involves more discussion of problems than many of us experienced in math class. How does this work out for \u003c/b>\u003ca href=\"https://www.kqed.org/mindshift/tag/introvert\">\u003cb>quiet kids\u003c/b>\u003c/a>\u003cb>?\u003c/b>\u003c/p>\n\u003cp>\u003cb>Jansen:\u003c/b>\u003cspan style=\"font-weight: 400\"> I think that also rough draft math should involve \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/50640/how-reading-novels-in-math-class-can-strengthen-student-engagement\">\u003cspan style=\"font-weight: 400\">writing\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. A lot of the revision practices are individual. So there is a lot of discussion with rough draft spaces, but there's also these built-in individual revision opportunities that everyone should be experiencing because individual writing is also the space where your thinking continues to grow. However, when I have (quieter students), I do gently challenge them to share, because if they aren't sharing in the public space, their colleagues are missing out on their ideas.\u003c/span>\u003c/p>\n\u003cp>\u003cb>What differences do you see in students’ affect and engagement when they feel safe to refine and revise their thinking?\u003c/b>\u003c/p>\n\u003cp>\u003cb>Jansen:\u003c/b>\u003cspan style=\"font-weight: 400\"> People show up with this sense of just feeling happy to be there. They are uniquely interested in each other's thinking because they know that they're learning in community to develop ideas together. They are more likely to just put something out there, whether it's in the group work that they're working on or coming up to the document camera to share their thinking. There's less waiting for a student to volunteer. There just seems to be a little less \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/tag/math-anxiety\">\u003cspan style=\"font-weight: 400\">stress\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">. People also tend to feel proud. If someone's recognizing that their ideas helped them, they feel this sense of pride.\u003c/span>\u003c/p>\n\u003cp>\u003cb>What are some of the barriers to teachers adopting this approach?\u003c/b>\u003c/p>\n\u003cp>\u003cb>Jansen: \u003c/b>\u003cspan style=\"font-weight: 400\">If you've never experienced a space that encourages those ideas, that's hard to recreate. If you do have this vision rooted in some experiences, what takes more time for folks is building in revision experiences. At first it’s the initial setting up of revision expectations that takes more time. Then, over time, adding in the revision isn't as much work. It takes less time than we think it will after we do this many times with students. And teachers I have known have used rough drafts with honors classes, with classes that have a lot of special education students, English language learners, and they’ve reported benefits.\u003c/span>\u003c/p>\n\u003cp>\u003cb>What can rough draft math look like in \u003c/b>\u003ca href=\"https://www.kqed.org/mindshift/tag/distance-learning\">\u003cb>online teaching\u003c/b>\u003c/a>\u003cb>?\u003c/b>\u003c/p>\n\u003cp>\u003cb>Jansen: \u003c/b>\u003cspan style=\"font-weight: 400\">(For synchronous learning), you can do a lot of communicating to students that \u003ca href=\"https://www.kqed.org/mindshift/56570/6-classroom-strategies-that-work-for-generating-student-discussions-online\">their ideas are valuable\u003c/a> and making sure you're helping them elicit the drafts. A lot of people have had success using Google slides where you can still put the students in small groups to write up their thinking and then have the groups look at each other's slides and talk in the in the whole group and then go back and revise your slides and then write in the notes how you changed your ideas and why. You can even, at the end of class, have them write a Google form reflection about how their thinking changed and why. For asynchronous, I've seen folks have some success using discussion boards. So essentially the principle of giving people the opportunity to share their first thinking and then revise it. You can imagine different structures online that people have had success with. But it's also a lot of us, this year, we knew folks face to face for a period of time before we went online. So now people are talking about what does it take to set up the classroom culture when we may need to be online from the beginning? What kinds of \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/54980/why-teachers-want-math-with-more-human-ties\">\u003cspan style=\"font-weight: 400\">relationship building experiences\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\"> do we need to do?\u003c/span>\u003c/p>\n\u003cp>\u003cb>How can teachers apply the principles of rough draft thinking to how they reflect their own successes and failures in the classroom?\u003c/b>\u003c/p>\n\u003cp>\u003c/p>\u003c/div>","attributes":{"named":{},"numeric":[]}},{"type":"component","content":"","name":"ad","attributes":{"named":{"label":"floatright"},"numeric":["floatright"]}},{"type":"contentString","content":"\u003cdiv class=\"post-body\">\u003cp>\u003c/p>\n\u003cp>\u003cb>Jansen: \u003c/b>\u003cspan style=\"font-weight: 400\">I've found that if I treat my work as a teacher as a draft, then a misstep is a \u003c/span>\u003ca href=\"https://www.kqed.org/mindshift/tag/growth-mindset\">\u003cspan style=\"font-weight: 400\">learning opportunity\u003c/span>\u003c/a>\u003cspan style=\"font-weight: 400\">, not something to get frustrated about. I can be proud of trying out the new things I'm trying out and my revisions that I can even apply to the next class. I don't have to wait until the next year or revise. I'm also growing as a learner about the mathematics, because I learn from how my students are making sense out of things, too. I think that's an important thing as a teacher to really make it clear: that we are all learning together.\u003c/span>\u003c/p>\n\n\u003c/div>\u003c/p>","attributes":{"named":{},"numeric":[]}}],"link":"/mindshift/56564/how-encouraging-rough-draft-thinking-in-math-class-highlights-the-strengths-of-all-students","authors":["11487"],"categories":["mindshift_193"],"tags":["mindshift_20994","mindshift_392","mindshift_20893"],"featImg":"mindshift_56712","label":"mindshift"}},"programsReducer":{"possible":{"id":"possible","title":"Possible","info":"Possible is hosted by entrepreneur Reid Hoffman and writer Aria Finger. 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Hosted by journalists of color, the show tackles the subject of race head-on, exploring how it impacts every part of society — from politics and pop culture to history, sports and more.\u003cbr />\u003cbr />\u003cem>Life Kit\u003c/em>, which will be in the second part of the hour, guides you through spaces and feelings no one prepares you for — from finances to mental health, from workplace microaggressions to imposter syndrome, from relationships to parenting. The show features experts with real world experience and shares their knowledge. 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You can also visit the MindShift website for episodes and supplemental blog posts or tweet us \u003ca href=\"https://twitter.com/MindShiftKQED\">@MindShiftKQED\u003c/a> or visit us at \u003ca href=\"/mindshift\">MindShift.KQED.org\u003c/a>","imageSrc":"https://cdn.kqed.org/wp-content/uploads/2024/04/Mindshift-Podcast-Tile-703x703-1.jpg","imageAlt":"KQED MindShift: How We Will Learn","officialWebsiteLink":"/mindshift/","meta":{"site":"news","source":"kqed","order":11},"link":"/podcasts/mindshift","subscribe":{"apple":"https://podcasts.apple.com/us/podcast/mindshift-podcast/id1078765985","google":"https://podcasts.google.com/feed/aHR0cHM6Ly9mZWVkcy5tZWdhcGhvbmUuZm0vS1FJTkM1NzY0NjAwNDI5","npr":"https://www.npr.org/podcasts/464615685/mind-shift-podcast","stitcher":"https://www.stitcher.com/podcast/kqed/stories-teachers-share","spotify":"https://open.spotify.com/show/0MxSpNYZKNprFLCl7eEtyx"}},"morning-edition":{"id":"morning-edition","title":"Morning Edition","info":"\u003cem>Morning Edition\u003c/em> takes listeners around the country and the world with multi-faceted stories and commentaries every weekday. 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