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 bookList of episodes

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 blogSet of Three-Act Math Tasks"Math class needs a makeover" TED talkList of episodes

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.html2023 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.2024.101205List of episodes

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 will soon be collected into a book, as well, from MDPI.[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.List of episodes

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 CourtneyArticle URL: https://ejrsme.icrsme.com/article/view/23771 Julie's Google Scholar pageList of episodes

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 pageList of episodes

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-xAlina's professional webpageList of episodes

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 webpageRachel's professional webpageRachel's NCTM webinar https://www.nctm.org/online-learning/Webinars/Details/686 List of episodes

Alan Schoenfeld from the University of California, Berkeley, discusses his career in mathematics education research.Alan's professional webpageAlan's Google Scholar pageList of episodes

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 HunterArticle 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 List of episodes

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 websiteIJRME 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.xmlMT article on why we need to learn math: https://pubs.nctm.org/view/journals/mt/105/1/article-p20.xml [FREE PDF VERSION]List of episodes

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 websiteArticle URL: https://link.springer.com/article/10.1007/s10649-024-10350-4 Colleague.AI: https://www.colleague.ai/ List of episodes

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-alyamiList of episodes

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 webpageList of past episodes

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 PsycharisArticle URL: https://link.springer.com/article/10.1007/s10649-024-10336-2 Sigal's professional webpageList of past episodes

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_2Dave's Delta Scape Blog http://deltascape.blogspot.com/ List of episodes

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 List of episodes

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 rather than a transformational approach in supporting math teachers.PDPD web articles about incremental PD (URL: https://practicedrivenpd.com/blog/)Mathematics Teacher PD: A Paradox and a Contradiction Walk into the ClassroomWhy Transformational PD Hasn't Worked at Scale Why Incremental PD is Worth TryingSample nudges shared at AMTE 2024 (more coming in Fall 2024)PDPD;s PME-NA article on our foundations of incremental PDJon Star's essay on incremental changes in instructionCall for submissions to the special issue on incremental PD in Education Sciences (URL: https://www.mdpi.com/journal/education/special_issues/YBV49M7Q71)Views expressed here are those of the individuals and do not necessarily reflect the perspectives of the National Science Foundation.List of episodes

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 related workBlack queer students’ counter-stories of invisibility in undergraduate STEM as a white, cisheteropatriarchal space (American Educational Research Journal, 2022): https://doi.org/10.3102/00028312221096455A queer of color challenge to neutrality in undergraduate STEM pedagogy as a white, cisheteropatriarchal space (Journal of Women and Minorities in Science and Engineering, 2022): https://doi.org/10.1615/JWomenMinorScienEng.2022036586Undergraduate Latin* queer students’ intersectionality of mathematics experiences: A Borderlands perspective (Proceedings of the 44th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, 2022): https://files.eric.ed.gov/fulltext/ED630414.pdfList of past episodes