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Adding It All Up

National Council of Teachers of Mathematics (NCTM)

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The National Council of Teachers of Mathematics (NCTM) welcomes you to Adding It All Up —a podcast created by and for mathematics educators and teachers. Join us each month as we explore current topics, insights, and emerging trends with thought leaders in the math community.
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Yusuke Uegatani from Hiroshima University High School (Fukuyama, Japan) discusses the article "Decentralising mathematics: Mutual development of spontaneous and mathematical concepts via informal reasoning," published in Educational Studies in Mathematics (Vol. 118). Co-authors: Hiroki Otani, Taro Fujita. Article URL: https://link.springer.com/arti…
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Send us a text Let’s talk about curriculum resources! Whether you are using a textbook that you chose or your district chose for you, many of you have been asked to use the resource with fidelity. But what exactly is fidelity, and is it a problem to create our own lessons? How much should teachers be expected to use what is included in a curriculum…
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Alina Kadluba from the Technical University of Munich (Germany) discusses the article, "How much C is in TPACK? A systematic review on the assessment of TPACK in mathematics," published in Educational Studies in Mathematics (Vol. 118). Co-authors: Anselm Strohmaier, Christian Schons, Andreas Obersteiner. Article URL: https://link.springer.com/artic…
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Latrenda Knighten and Kevin Dykema invite Susie Katt and Dave Ebert to discuss the connection between literacy and mathematics—and why integrating reading, writing, speaking, and listening skills into math instruction can transform student understanding. Related events and resources: NCTE-NCTM Joint Conference for Elementary Literacy and Mathematic…
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Send us a text Is teaching math the same as teaching reading? Have you ever attended a PD or read about a strategy that works for teaching both reading and were asked to use it in math as well? There are times when these two pedagogies can overlap…but should they? Today, we have a very special “family” episode for you. We are going to hear a husban…
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In this episode, Sam is joined by two separate guests. Sarah Powell (University of Texas) describes the origins and aims of the Science of Math efforts, and Rachel Lambert (University of California, Santa Barbara) shares some critiques and concerns about the Science of Math as it is currently instantiated. Introduction (0:00:00) Origins with Sarah …
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Della Cronin from the Bose Public Affairs Group and NCTM Associate Executive Director, Dave Barnes, stop by the podcast to discuss why advocacy efforts for math education are crucial to the community's success. NCTM Advocacy Toolkit NCTM 2025 Legislative Platform (pdf) Share your story of impact. Be an Advocate. This episode of Adding It All Up is …
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Send us a text Math is full of algorithms. These are generalized procedures or sets of rules to be followed in solving problems of a given type. From the standard algorithms for subtraction and long division in elementary school all the way to the distance formula and the quadratic formula in high school, algorithms are a part of the mathematics cu…
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Sam Rhodes, Kelly Reigle, and MTLT Editor in Chief, Angela Barlow join the podcast to discuss the role of metacognition, a reflective process to help math students succeed with problem-solving in and out of the classroom. Building Students’ Metacognitive Toolboxes (NCTM Members Only) Learn more about Mathematics Teacher: Learning and Teaching PK-12…
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Send us a text How narrow should we make the grade bands for teacher certification? When teachers get their certification in a state, it is usually for a specific subject and/or grade band. For instance, a teacher may get a certification in K-8 Elementary Teaching or 7-12 Math Instruction. These bands vary by state and change over time. So what is …
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David Barnes, NCTM Associate Executive Director, joins Kevin and Latrenda to discuss the 2024 NAEP (National Assessment of Educational Progress) results, highlighting the challenges and next steps for the mathematics education community. Explore results for the 2024 NAEP Mathematics Assessment. Read the NCTM news release. Learn more about professio…
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NCTM’s Kevin Dykema and Latrenda Knighten invite two coaching experts, Courtney Baker and Melinda Knapp, to the podcast to discuss their book, Proactive Mathematics Coaching, Bridging Content, Context, and Practice, and the power of the proactive coaching framework, which helps math leaders refine their practices. Purchase a copy of Proactive Mathe…
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Jodie Hunter from Massey University (New Zealand) discusses the article, "Weaving together the threads of Indigenous knowledge and mathematics," published in Educational Studies in Mathematics, Volume 116. Co-author: Roberta Hunter Article URL: https://link.springer.com/article/10.1007/s10649-023-10256-7 Jodie's professional webpage: https://www.ma…
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For this 200th official episode of the podcast, Samuel Otten from the University of Missouri discusses the main ideas from some of his most highly-cited articles and also from some of his "underrated" articles. Sam's website IJRME article on video vs live lesson observations: https://www.tandfonline.com/doi/abs/10.1080/1743727X.2024.2350068 JMB art…
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Send us a text As we’ve done in the past, we wanted to end the year by bringing together a few of our guests from past debates for a roundtable to reflect on the past debates and also engage in a discussion around a central question. This year’s question is: How do we help students feel that they belong in math class? Follow Melissa Dean on Twitter…
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NCTM’s Kevin Dykema and Latrenda Knighten invite three mathematics teachers, Alyssa Schexnayder (elementary school), Maggie McHugh (middle school), and Joe Bolz (high school) to the podcast to discuss developing teacher playbooks and how to empower students to learn.By National Council of Teachers of Mathematics (NCTM)
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Drew Nucci ([email protected]) from WestEd discusses his article, "The role of an online learning environment in teacher care for secondary mathematics students," published in Educational Studies in Mathematics, Volume 117. We also discuss Colleague.AI, which is a curriculum and assessment tool for teachers. WestEd's website Article URL: https://li…
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Hanan Alyami from Purdue University Fort Wayne discusses her article, "Defining radian: Provoked concept definitions of radian angle measure," published in Research in Mathematics Education (Vol. 25). Article URL: https://journals.scholarsportal.info/details/14794802/v25i0002/154_drpcdoram.xml Hanan's Professional Webpage: https://www.pfw.edu/about…
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Priya V. Prasad from the University of Texas at San Antonio discusses her NSF-project working with college algebra instructors and previews some research that will be shared at the PME-NA conference in a report entitled "Factors contributing to instructional shifts at the college level," co-author Jessica Gehrtz. Priya's professional webpage https:…
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Send us a text At the time of this recording, we are in an election year and political ads are everywhere. As we get closer to November 2024, it is harder and harder to avoid. Now, while you may not think of math as a course that intersects with political topics, teachers may find it coming up in many ways. So for this episode we gathered a panel o…
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Sigal-Hava Rotem from Utrecht University (The Netherlands) discusses the article, "Using critical incidents as a tool for promoting prospective teachers' noticing during reflective discussions in a fieldwork-based university course," published in Educational Studies in Mathematics (Vol. 117). Co-authors: Potari and Psycharis Article URL: https://li…
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Send us a text The National Council of Teachers of Mathematics, or NCTM, is the world's largest mathematics education organization. While many math teachers are members of this organization and may attend its national conference, others do not. Maybe you are someone who has wondered whether or not to join? We wanted to explore this idea more in our…
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Send us a text For our final “Hot Seat” of 2024, we wanted to lean into the topic of data science. It’s starting to become a course offered in high schools, but some may wonder if it is a rigorous pathway for students. Is Calculus still the most rigorous course for high school students? We want to hear from our guests from DataScience4Everyone, ask…
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Send us a text Do you know what Problem-Based Lessons are? And more importantly, do you think they are important? For this Hot Seat, we hear from educators Kyle Pearce and Jon Orr on why they think: Problem Based Lessons are Essential. Follow the Make Math Moments Podcast Check out Problem-Based Lessons on: makemathmoments.com Take the report at ma…
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Angela Barlow, Editor-in-Chief of the NCTM journal, Mathematics Teacher: Learning and Teaching PK-12 (MTLT), and Krystal Jones, MTLT Fellow, discuss the math journal and the power of connecting with other teachers and readers in mathematics education from the classroom and beyond.By National Council of Teachers of Mathematics
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Send us a text For this next Hot Seat debate, we talk about the complicated decision to leave education. With many teachers leaving or considering leaving the profession, we brought on two former educators–Laila Nur & Justin Aion–to debate the question: Is it OK to quit teaching? Follow Laila on Twitter: @mslailanur or check out her website: www.ms…
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Dave Coffey and Kathy Coffey from Grand Valley State University discuss their new book, Designing Math Adventures: Using Design Thinking to Support the Teaching and Learning of K-8 Mathematics, available through Amazon. Book URL: https://www.amazon.com/Designing-Math-Adventures-Thinking-Mathematics/dp/B0D36HKT3X/ref=sr_1_fkmr1_2 Dave's Delta Scape …
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Send us a text Welcome to our very first Hot Seat debate! In this debate we hear from Sunil Singh and explore his idea that: Math is Dead! Follow Sunil on Twitter: @Mathgarden Check out Sunil’s Website: www.mathsings.com Listened to the episode? Now, it’s your turn to share! Go to our BlueSky: @DebateMath to share your thoughts. Don’t forget to che…
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Travis Weiland from the University of Houston (but soon to be at UNC-Charlotte) discusses the chapter "Preparing teachers of statistics: A critical read of standards, review of past research, and future directions" published in The AMTE Handbook of Mathematics Teacher Education (Vol. 5), with chapter co-authors Chris Engledowl and Susan Cannon. Boo…
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Zandra de Araujo (University of Florida), Amber Candela (University of Missouri, St Louis), and Paul Wonsavage (University of Florida) join Sam Otten (University of Missouri, Columbia) to discuss their NSF-funded project entitled Practice-Driven Professional Development (PDPD). They share thoughts on why they are pursuing an incremental approach ra…
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Send us a text You may have heard news of schools and districts that are switching to a 4 day school week. There are claims of improved teacher retention or reduced costs. However, this is a highly debated topic. So we invited four guests to share their thoughts on the debate: Let's Switch to a 4-Day School Week! Resources Referenced in this Episod…
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Maria Franquiz joins Kevin Dykema and Latrenda Knighten to discuss why it's crucial for educators to emphasize both math and literacy skills in the early grades, and how this collaboration can help integrate mathematics, language arts, and culture to engage elementary learners. Get more on this topic at the upcoming joint conference for elementary …
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Send us a text Have you heard of the Science of Math? It is a movement in the math education world, which aims to use research to inform best practices. However, there has been some push back to this movement. Critics question what and how research was quoted and used. This controversy sounded like a topic for the Debate Math Podcast. Come hear out…
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In celebration of the 10th anniversary of NCTM's landmark publication, Principles to Actions: Ensuring Mathematical Success for All, hosts Kevin Dykema and Latrenda Knighten examine its impact with lead authors Steve Leinwand, Deann Huinker, and Dan Brahier.By National Council of Teachers of Mathematics
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Luis Leyva from Vanderbilt University discusses his article, "Queer of Color Justice in Undergraduate Mathematics Education," published in the Notices of the American Mathematical Society, Volume 71. Article URL https://doi.org/10.1090/noti2875 Episode 1701 with Luis https://www.podomatic.com/podcasts/mathed/episodes/2017-01-04T12_03_01-08_00 Other…
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Send us a text This month's episode is a special recording of two LIVE debates at the OMCA 2024 Retreat. Listen as thoughtful math leaders discuss two topics and answer questions from the audience! The first topic is: We need to have common evaluations. The second debate topic is: Teachers spend too much time on direct instruction. Follow up with o…
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Melissa Gallagher from the University of Houston (soon to be at U.S. Math Recovery Council) discusses the article, "Adaptive teaching in mathematics: A review of the literature," published in Educational Review, Volume 7. Co-authors: Parsons and Vaughn. Article URL: https://www.tandfonline.com/doi/pdf/10.1080/00131911.2020.1722065 Math with Melissa…
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Nathalie Sinclair from Simon Fraser University in Canada discusses her article, "Knowing as remembering: Methodological experiments in embodied experiences of number," published in Digital Experiences in Mathematics Education. Article URL https://link.springer.com/article/10.1007/s40751-023-00132-7 Nathalie's professional webpage https://www.sfu.ca…
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Send us a text Let’s talk about textbooks! Some teachers are handed a textbook and are instructed to follow it. Others may have never had a textbook offered to them. If you are given a textbook, should you be following it? And how much? And if you don’t have one, should you start? Tune in as four thoughtful educators debate the resolution: Teachers…
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In this digest episode we hear summaries from Kelly Demirjian, Joshua Pope, Loella Lapat, and Samuel Otten about the following articles: [01:00] Stephan, M., Register, J., Reinke, L., Robinson, C., Pugalenthi, P., & Pugalee, D. (2021). People use math as a weapon: Critical mathematics consciousness in the time of COVID-19. Educational Studies in Ma…
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Send us a text Welcome to Season 3! Listen in as Chris & Rob talk about the upcoming season! Listened to the episode? Now, it’s your turn to share! Go to our BlueSky: @DebateMath to share your thoughts. Don’t forget to check out the video version of this podcast on our YouTube channel! Keep up with all the latest info by following @DebateMath or go…
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