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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Bringing together educators with opposing viewpoints to have a discussion and explore the arguments
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Home of The Piano Podcast with Mario Ajero in High-Definition. Formerly known as "MarioCast", The Piano Podcast is an internet TV show focused on piano performance, lessons, and interviews. This page is dedicated to providing the videos in high-definition.
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Interviews with mathematics education researchers about recent studies. Hosted by Samuel Otten, University of Missouri. www.mathedpodcast.com Produced by Fibre Studios
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Episode 2504: Yusuke Uegatani - semi-formal reasoning and negotiation
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13:34Yusuke 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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Debate 39 - Should We Teach a Curriculum with Fidelity?
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1:04:33Send 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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Episode 2503: Alina Kadluba - assessing Technological Pedagogical Content Knowledge (TPACK)
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22:00Alina 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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Words Count Too: Literacy in Math Learning
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32:05Latrenda 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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Debate 38 - Should We Compare the Teaching of Reading to the Teaching of Math?
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46:42Send 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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Episode 2502: Discussing the Science of Math - Sarah Powell and Rachel Lambert
1:31:48
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1:31:48In 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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Multiplying Opportunities: Advocating for Better Math Access
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34:51Della 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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Metacognition: Thinking About Our Thinking
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22:08Sam 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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2024 In Review: Mathematics Education Evolved...and What's Next in 2025
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44:10NCTM’s Kevin Dykema and Latrenda Knighten recap the 2024 year, highlighting areas of growth in meeting the needs of students, publications, and conferences and discussing what they hope to see in 2025.By National Council of Teachers of Mathematics (NCTM)
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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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Numbers Don’t Lie: Analyzing the 2024 NAEP Results
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20:22David 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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The Power of Proactive Coaching: Transforming Math Leadership
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41:54NCTM’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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Episode 2501: Alan Schoenfeld - career in math education (problem solving, assessment, models of teaching, and math wars)
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1:25:34Alan Schoenfeld from the University of California, Berkeley, discusses his career in mathematics education research. Alan's professional webpage Alan's Google Scholar page List of episodes
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Episode 2414: Jodie Hunter - Indigenous knowledge and mathematics in the Pacific
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35:31Jodie 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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Episode 2413: 200th Episode Special - Samuel Otten Retrospective
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23:12For 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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Debate 35 - Creating Belonging in Math Class?
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1:16:29Send 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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Play By Play: Strategies to Empower Students in the Classroom
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37:41NCTM’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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Episode 2412: Drew Nucci - teacher care online and AI tools for teachers
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23:22Drew 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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NCTM’s Chonda Long takes over hosting duties for this episode of Adding It All Up and asks new NCTM President, Latrenda Knighten, and NCTM Past President, Kevin Dykema, about diversity, equity, inclusion and accessibility in modern-day math classrooms.
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Episode 2411: Hanan Alyami - radian concepts and prospective mathematics teachers
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22:22Hanan 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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Episode 2410: Priya V. Prasad - instructional support for college algebra instructors
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31:22Priya 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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Episode 2409: Jonathan Bostic - math ed measures and validity
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48:14Jonathan Bostic from Bowling Green State University discusses MathEdMeasures.org and the work of the VM2ED (Validity Evidence for Measurement in Mathematics Education) project, with Erin Krupa and others. https://MathEdMeasures.org/ Jonathan's professional webpage List of past episodes
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Beyond Calculators: AI's Role in Modern Math Classrooms
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32:36Donnie Piercey, fourth-grade teacher and a former Kentucky Teacher of the Year, visits Adding It All Up to discuss the role of artificial intelligence in mathematics education and how offering tools that personalize learning and engage students in new ways can enhance the classroom.
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Debate 34 - Should Politics Be Avoided in Math Class?
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1:00:05Send 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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Episode 2408: Sigal Rotem - critical incidents and prospective teacher noticing
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28:10Sigal-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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The New Three "Rs" of High School Mathematics
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23:38Kristi Martin and Jenny Novak, lead writers of High School Mathematics: Reimagined, Revitalized, and Relevant, join Kevin Dykema and Latrenda Knighten on this episode of Adding It All Up to discuss the new book and how reimagining and revitalizing are essential in making mathematics more relevant for students.…
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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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Hot Seat #4 - Is Data Science a Rigorous Course?
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43:17Send 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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Hot Seat #3 - Are Problem-Based Lessons Essential?
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45:04Send 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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Luis Leyva—the NCTM 2024 Annual Meeting & Exposition Iris M. Carl Equity address speaker—joins Latrenda Knighten to discuss teaching historically marginalized communities, engaging in critical forms of self-reflection, and more.By National Council of Teachers of Mathematics
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Embracing Your Voice as a Classroom Teacher: Writing for MTLT
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23:39Angela 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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Episode 2407: David Coffey and Kathryn Coffey - Designing Math Adventures
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30:27Dave 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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Episode 2406: Travis Weiland - statistics education research and teacher preparation
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36:04Travis 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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Identity Crisis: Mathematics in the Classroom
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39:42Julia Aquirre, Karen Mayfield-Ingram, and Danny Bernard Martin, authors of The Impact of Identity in K-12 Mathematics: Rethinking Equity-based Practices, discuss the importance of how mathematics identity agency impacts teaching and learning in the classroom.By National Council of Teachers of Mathematics
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Episode 2405: Practice-Driven Professional Development Project - Incremental PD
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34:59Zandra 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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Examining The Connections Between Elementary Mathematics and Literacy
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28:31Maria 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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Exploring the Impact of the Landmark Publication: Principles to Actions
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29:30In 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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Introducing A New Podcast for Mathematics Educators and Teachers!
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0:42Don't miss the first episode of Adding It All Up, a new podcast created by and for mathematics educators and teachers...coming April 18!By National Council of Teachers of Mathematics
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Episode 2404: Luis Leyva - Queer of Color Justice in STEM
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35:55Luis 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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Episode 2403: Melissa Gallagher - adaptive teaching and math on social media
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24:28Melissa 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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Episode 2402: Nathalie Sinclair - methodological experiments with embodied number
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36:15Nathalie 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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Debate 25 - Should You Follow the Textbook?
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1:02:31Send 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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Episode 2401: Digest 11 - critical math consciousness, algebra placement, African American perspectives, math and science YouTubers
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22:40In 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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Episode 300 - What to Expect in Season 3!
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10:49Send 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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