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Math Ed Podcast
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Mario Sánchez Aguilar from the National Polytechnical Institute in Mexico City, Mexico, discusses the article, "Latin American research on mathematics education: A narrative review" and the accompanying special issue in ZDM Mathematics Education (Volume 57). Co-authors: Marcelo de Carvalho and Jhony Alexander Villa-Ochoa
Article URL: https://link.springer.com/article/10.1007/s11858-025-01754-4
Special Issue URL: https://link.springer.com/journal/11858/volumes-and-issues/57-7
Special Issue Webinar: https://resource-cms.springernature.com/springer-cms/rest/v1/content/27837036/data/v1
Mario's Blog: https://mariosanchezaguilar.com/
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Drew Nucci (dnucci@wested.org) from WestEd discusses his team's ongoing work related to generative AI in schools and survey results about math and science teachers' perspectives on GenAI.
WestEd's website
Report on National Survey Results: https://www.amplifylearn.ai/reports/
Colleague.AI: https://www.colleague.ai/
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Pam Harris discusses her new book series Developing Mathematical Understanding (K-12) from Corwin Press and her experiences in professional development with mathematics teachers.
Pam's professional website (Math is FigureOutAble)
Developing Mathematical Understanding book
Developing Mathematical Understanding free workshop
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Dan Meyer from Amplify discusses his career thus far in mathematics education, including his work as a teacher, as a graduate student and blogger at Stanford University, and with Desmos instructional technology.
Dan's old dy/dan blog
Set of Three-Act Math Tasks
"Math class needs a makeover" TED talk
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Amy Hackenberg from Indiana University discusses two articles from the Journal of Mathematical Behavior--"Middle school students at three stages of units coordination learn to make same speeds" (Vol. 72, 2023) and "Decentering to support responsive teaching for middle school students" (Vol. 77, 2025), both co-authored with Aydeniz-Temizer and Borowski.
Amy's professional webpage: https://education.indiana.edu/about/directory/profiles/hackenberg-amy-j.html
2023 Student-Focused Article URL: https://doi.org/10.1016/j.jmathb.2023.101085
2025 Teacher-Focused Article URL: https://doi.org/10.1016/j.jmathb.2024.101205
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This episode contains summaries of the articles in the Education Sciences special issue on incremental PD for mathematics teachers. All articles are open access in this special issue and available on the journal website: https://www.mdpi.com/journal/education/special_issues/YBV49M7Q71 It has also been collected into a book, as well, from MDPI, if you prefer either the free PDF of the collected volume or a physical book.
[1:35] Otten, S., de Araujo, Z., & Candela, A. G. (2025). The benefits of modesty: Considering incremental professional development for mathematics teachers. Education Sciences, 15(4), 473.
[8:57] Arbaugh, F.. (2025). Commentary: Personal transformations and the possibilities of incremental progress in mathematics teacher professional development. Education Sciences, 15(1), 30.
[12:36] Leshin, M., LaMar, T., & Boaler, J. (2024). Teachers' mixed implementation of Mindset mathematics practices during and after a novel approach to teacher learning. Education Sciences, 14(11), 1229.
[16:45] Bondurant, L. M. (2024). Incremental growth through Professional Learning Communities of math teachers engaged in action research projects. Education Sciences, 14(10), 1104.
[20:17] Marzocchi, A. S., Stone-Johnstone, A., Kurianski, K., & Soto, R. C. (2024). Supporting mathematics instructors' transition to equity-minded active instruction using a community of practice framework. Education Sciences, 14(9), 1001.
[23:05] Lee, H. S., Thrasher, E., Mojica, G. F., Graham, B. M., Lee, J. T., & Kuhlman, A. (2024). Examining teachers' professional learning in an online asynchronous system: Personalized supports for growth and engagement in learning to teach statistics and data science. Education Sciences, 14(11), 1236.
[26:51] Elliott, R., & Roberts, S. A. (2024). Studio as a catalyst for incremental and ambitious teacher learning. Education Sciences, 44(11), 1160.
[32:45] Lesseig, K., & Hoppe, J. (2024). Beyond traditional lesson study: How Mathematics Studio supports generative teacher learning. Education Sciences, 14(12), 1277.
[36:01] Jansen, A., Botello, M., & Silla, E. M. (2024). Rough Draft Math as an evolving practice: Incremental changes in mathematics teachers' thinking and instruction. Education Sciences, 14(11), 1266.
[41:15] Quebec Fuentes, S. (2025). S^3D Approach: Incremental professional development for fostering small-group discourse. Education Sciences, 15(1), 36.
[46:38] Litke, E., Wilson, J., & Hill, H. C. (2025). Equity-focused, rubric-based coaching: An incremental improvement approach to supporting teachers to shift toward more equitable mathematics instruction. Education Sciences, 15(4), 444.
Book containing all the articles: Incremental and Innovative Approaches to Professional Development for Mathematics Teachers | MDPI Books
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Julie Nurnberger-Haag returns to the podcast to discuss the article, "Tools, tricks, and topics teachers use for integer arithmetic," published in the Electronic Journal for Research in Science and Mathematics Education (Vol. 29). Co-author: Scott Courtney
Article URL: https://ejrsme.icrsme.com/article/view/23771
Julie's Google Scholar page
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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/article/10.1007/s10649-024-10366-w
Yusuke's ORCID scholar page
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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/article/10.1007/s10649-024-10357-x
Alina's professional webpage
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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 (0:03:12)Critiques with Rachel (0:22:26)Responses with Sarah (1:10:42)
The Science of Math website https://www.thescienceofmath.com/
Sarah's professional webpage
Rachel's professional webpage
Rachel's NCTM webinar https://www.nctm.org/online-learning/Webinars/Details/686
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Alan Schoenfeld from the University of California, Berkeley, discusses his career in mathematics education research.
Alan's professional webpage
Alan's Google Scholar page
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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.massey.ac.nz/massey/expertise/profile.cfm?stref=463201
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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 article on citations of Stein and Lane (1996): https://www.sciencedirect.com/science/article/abs/pii/S0732312316301109
MTMS article on going over homework: https://pubs.nctm.org/view/journals/mtms/21/2/article-p98.xml
MT article on why we need to learn math: https://pubs.nctm.org/view/journals/mt/105/1/article-p20.xml [FREE PDF VERSION]
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Drew Nucci (dnucci@wested.org) 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://link.springer.com/article/10.1007/s10649-024-10350-4
Colleague.AI: https://www.colleague.ai/
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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-pfw/who-we-are/directories/hanan-alyami
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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://sciences.utsa.edu/faculty/profiles/prasad-priya.html List of episodes
Jonathan 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
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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://link.springer.com/article/10.1007/s10649-024-10336-2
Sigal's professional webpage
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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 Blog http://deltascape.blogspot.com/
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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.
Book available from Information Age https://www.infoagepub.com/products/The-AMTE-Handbook-of-Mathematics-Teacher-Education-Vol-5
Travis's Google Scholar Page https://scholar.google.com/citations?user=smeqrnwAAAAJ&hl=en
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