foldworks<p>The first two episodes of MT Talk discuss articles from Mathematics Teaching 296 <a href="https://atm.org.uk/MT-Talk" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="">atm.org.uk/MT-Talk</span><span class="invisible"></span></a></p><p>Episode 1<br>Elizabeth Bridgett, Lisa Coe and Jay Timotheus compare and contrast Mike Askew's 1999 article, ‘Teaching numeracy: will we ever learn?’ from MT168 with Jane Hawkins' much more recent, 2025 article, ‘Why purposeful talk in mathematics lessons matters’ in MT296.</p><p>Also mentioned in this episode is the 1999 paper ‘Arbitrary and Necessary Part 1: A Way of Viewing the Mathematics Curriculum’, Dave Hewitt's first in a three-part series in For the Learning of Mathematics, as well as Mike Askew’s book, ‘Transforming Primary Mathematics’, published by Routledge in 2011.</p><p>Episode 2<br>Lisa Coe, Fin McLaughlin and Jay Timotheus talk about John Mason's 1987 article, ‘Only awareness is educable’ from MT120, alongside Tom Francome's 2025 article, ‘Everyone can think mathematically’ from MT296.</p><p>Fin recommended two books: ‘Thinking Mathematically’, by John Mason, Leone Burton and Kaye Stacey (Pearson, 1982, and 2010) and ‘Researching Your Own Practice: The Discipline of Noticing’, by John Mason (Routledge, 2001).</p><p><a href="https://podcasts.apple.com/us/podcast/mt-talk/id1838379708" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">podcasts.apple.com/us/podcast/</span><span class="invisible">mt-talk/id1838379708</span></a><br><a href="https://open.spotify.com/show/3cJF2EXKyIe1FTNrRO8xm5" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">open.spotify.com/show/3cJF2EXK</span><span class="invisible">yIe1FTNrRO8xm5</span></a></p><p><a href="https://mathstodon.xyz/tags/podcast" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>podcast</span></a> <a href="https://mathstodon.xyz/tags/ITeachMath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITeachMath</span></a> <a href="https://mathstodon.xyz/tags/MathematicsEducation" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathematicsEducation</span></a> <a href="https://mathstodon.xyz/tags/MathEd" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathEd</span></a> <a href="https://mathstodon.xyz/tags/MathEdChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathEdChat</span></a> <a href="https://mathstodon.xyz/tags/MathsEd" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathsEd</span></a> <a href="https://mathstodon.xyz/tags/MathsEdChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathsEdChat</span></a> <br><a href="https://mathstodon.xyz/tags/education" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>education</span></a> <a href="https://mathstodon.xyz/tags/mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mathematics</span></a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>math</span></a> <a href="https://mathstodon.xyz/tags/didactics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>didactics</span></a> <a href="https://mathstodon.xyz/tags/pedagogy" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>pedagogy</span></a></p>
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#iteachmath
3 posts · 2 participants · 0 posts today
Karen Campe<p>AND... if you're a @ticalculators user, join me & Steve Phelps (<span class="h-card" translate="no"><a href="https://mathstodon.xyz/@MathTechCoach" class="u-url mention" rel="nofollow noopener" target="_blank">@<span>MathTechCoach</span></a></span>) for a free webinar on 9-16-25. </p><p>Register here: <a href="https://education.ti.com/en/t3-professional-development/for-teachers-and-teams/online-learning/live-webinars/sep-16-2025-its-time-for-a-pythagorean-party" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">education.ti.com/en/t3-profess</span><span class="invisible">ional-development/for-teachers-and-teams/online-learning/live-webinars/sep-16-2025-its-time-for-a-pythagorean-party</span></a></p><p><a href="https://mathstodon.xyz/tags/MTBoS" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MTBoS</span></a> <a href="https://mathstodon.xyz/tags/iTeachMath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>iTeachMath</span></a> <a href="https://mathstodon.xyz/tags/T3Learns" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>T3Learns</span></a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geometry</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://mathstodon.xyz/tags/RecreationalMath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>RecreationalMath</span></a> <a href="https://mathstodon.xyz/tags/ClassroomMath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ClassroomMath</span></a> <a href="https://mathstodon.xyz/tags/MathEd" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathEd</span></a> <a href="https://mathstodon.xyz/tags/MathsEdChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathsEdChat</span></a></p>
Karen Campe<p>Next week has a "Pythagorean" day on 9-16-25... so check out my "Pythagorean Party!" blog w/ technology activities and visuals to celebrate pythagorean theorem & related concepts.</p><p><a href="https://karendcampe.wordpress.com/2025/07/30/pythagorean-party/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">karendcampe.wordpress.com/2025</span><span class="invisible">/07/30/pythagorean-party/</span></a></p><p><a href="https://mathstodon.xyz/tags/MTBoS" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MTBoS</span></a> <a href="https://mathstodon.xyz/tags/iTeachMath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>iTeachMath</span></a> <a href="https://mathstodon.xyz/tags/T3Learns" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>T3Learns</span></a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geometry</span></a> <a href="https://mathstodon.xyz/tags/RecreationalMath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>RecreationalMath</span></a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>math</span></a> <a href="https://mathstodon.xyz/tags/ClassroomMath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ClassroomMath</span></a> <a href="https://mathstodon.xyz/tags/MathEd" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathEd</span></a> <a href="https://mathstodon.xyz/tags/MathsEdChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathsEdChat</span></a></p>
foldworks<p>Mathematics Teaching 297 now available online <a href="https://atm.org.uk/Mathematics-Teaching-Journal-Archive/177732" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">atm.org.uk/Mathematics-Teachin</span><span class="invisible">g-Journal-Archive/177732</span></a></p><p>Design by me</p><p>Six free articles for non-members:</p><p>For the classroom: fractions<br>Tom Francome offers activities from LUMEN (Loughborough University Mathematics Education Network <a href="https://www.lboro.ac.uk/lumen" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="">lboro.ac.uk/lumen</span><span class="invisible"></span></a>).<br><a href="https://atm.org.uk/write/MediaUploads/Journals/MT297/08.pdf" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">atm.org.uk/write/MediaUploads/</span><span class="invisible">Journals/MT297/08.pdf</span></a></p><p>Critical mathematics education student teachers’ perspectives<br>Manjinder K. Jagdev and her student teachers reflect on their experiences of developing critical mathematics education and social justice themes in initial teacher education courses<br><a href="https://atm.org.uk/write/MediaUploads/Journals/MT297/10.pdf" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">atm.org.uk/write/MediaUploads/</span><span class="invisible">Journals/MT297/10.pdf</span></a></p><p>Awareness of the division of fractions keep your flipping change to yourself!<br>Sam Brace describes a unit of work that uses learners’ powers of the mind to understand the division of fractions.<br><a href="https://atm.org.uk/write/MediaUploads/Journals/MT297/11.pdf" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">atm.org.uk/write/MediaUploads/</span><span class="invisible">Journals/MT297/11.pdf</span></a></p><p>Jan Potworowski the quest to humanise mathematics education<br>George Knights and Lyndon Baker have prepared this tribute to Jan Potworowski.<br><a href="https://atm.org.uk/write/MediaUploads/Journals/MT297/13.pdf" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">atm.org.uk/write/MediaUploads/</span><span class="invisible">Journals/MT297/13.pdf</span></a></p><p>Julian Williams teacher researcher theorist. 1954–2025<br>Geoff Wake and Laura Black celebrate Julian Williams’s contribution to mathematics Education.<br><a href="https://atm.org.uk/write/MediaUploads/Journals/MT297/14.pdf" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">atm.org.uk/write/MediaUploads/</span><span class="invisible">Journals/MT297/14.pdf</span></a></p><p>I want to remember...<br>In memory of Julian Williams by Laya Hooshyari.<br><a href="https://atm.org.uk/write/MediaUploads/Journals/MT297/15.pdf" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">atm.org.uk/write/MediaUploads/</span><span class="invisible">Journals/MT297/15.pdf</span></a></p><p><a href="https://mathstodon.xyz/tags/MathematicsTeaching" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathematicsTeaching</span></a> <a href="https://mathstodon.xyz/tags/iTeachMath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>iTeachMath</span></a> <a href="https://mathstodon.xyz/tags/MathEd" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathEd</span></a> <a href="https://mathstodon.xyz/tags/MathsEd" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathsEd</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://mathstodon.xyz/tags/Mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mathematics</span></a> <a href="https://mathstodon.xyz/tags/teaching" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>teaching</span></a> <a href="https://mathstodon.xyz/tags/pedagogy" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>pedagogy</span></a> <a href="https://mathstodon.xyz/tags/didactics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>didactics</span></a> <a href="https://mathstodon.xyz/tags/education" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>education</span></a> <a href="https://mathstodon.xyz/tags/design" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>design</span></a> <a href="https://mathstodon.xyz/tags/GraphicDesign" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GraphicDesign</span></a> <a href="https://mathstodon.xyz/tags/atm" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>atm</span></a> <a href="https://mathstodon.xyz/tags/MT" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MT</span></a> <a href="https://mathstodon.xyz/tags/MT297" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MT297</span></a></p>
Fractal Kitty<p>A new post on the math blog! I built a couple of toys to play with as well. </p><p>Inquiries week 4: Triangulating Triangles</p><p><a href="https://www.fractalkitty.com/inquiries-week-4-triangulate-the-triangle/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">fractalkitty.com/inquiries-wee</span><span class="invisible">k-4-triangulate-the-triangle/</span></a></p><p><a href="https://mathstodon.xyz/tags/indieweb" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>indieweb</span></a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>math</span></a> <a href="https://mathstodon.xyz/tags/colorings" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>colorings</span></a> <a href="https://mathstodon.xyz/tags/graphTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>graphTheory</span></a> <a href="https://mathstodon.xyz/tags/triangles" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>triangles</span></a> <a href="https://mathstodon.xyz/tags/inquiry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>inquiry</span></a> <a href="https://mathstodon.xyz/tags/mtbos" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mtbos</span></a> <a href="https://mathstodon.xyz/tags/iteachmath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>iteachmath</span></a> <a href="https://mathstodon.xyz/tags/mathtoys" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mathtoys</span></a></p>
Alfonso Gonzalez<p>Students as Experts in Math Class | Edutopia <br><a href="https://techhub.social/tags/MathChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathChat</span></a> <a href="https://techhub.social/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://techhub.social/tags/Mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mathematics</span></a> <a href="https://techhub.social/tags/iTeachMath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>iTeachMath</span></a> <br><a href="https://www.edutopia.org/article/students-experts-math-class/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">edutopia.org/article/students-</span><span class="invisible">experts-math-class/</span></a></p>
Alfonso Gonzalez<p>What is GeoGebra and How Can Teachers Use It To Teach Math? <a href="https://techhub.social/tags/MathChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathChat</span></a> <a href="https://techhub.social/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://techhub.social/tags/Mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mathematics</span></a> <a href="https://techhub.social/tags/iTeachMath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>iTeachMath</span></a> <br><a href="https://www.techlearning.com/news/what-is-geogebra-and-how-can-teachers-use-it-to-teach-math" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">techlearning.com/news/what-is-</span><span class="invisible">geogebra-and-how-can-teachers-use-it-to-teach-math</span></a></p>
STEMcoding Project<p>We're excited to release <a href="http://stemcoding.github.io" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">http://</span><span class="">stemcoding.github.io</span><span class="invisible"></span></a> which has an activity explorer where you can find all 44 of our activities! Check it out! <a href="https://mastodon.social/tags/iteachphysics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>iteachphysics</span></a> <a href="https://mastodon.social/tags/iteachmath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>iteachmath</span></a> <a href="https://mastodon.social/tags/AAPTSM25" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>AAPTSM25</span></a> <a href="https://mastodon.social/tags/datascience" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>datascience</span></a> <a href="https://mastodon.social/tags/CS4All" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CS4All</span></a> <span class="h-card" translate="no"><a href="https://a.gup.pe/u/edutooters" class="u-url mention" rel="nofollow noopener" target="_blank">@<span>edutooters</span></a></span></p>
Andrew D. Hwang<p>"An Invitation to Real Analysis" has gone to press, and is available for pre-order on August 21. The book was substantially shaped by my own experiences, in person and at math.stackexchange, clarifying common confusions and conceptual hurdles. If you teach real analysis in English at levels from "introduction to proofs for math undergraduates" to "rigorous course for quantitative fields" (say), or are self-studying, I am very grateful for your consideration.</p><p><a href="https://www.routledge.com/9781032989136" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="">routledge.com/9781032989136</span><span class="invisible"></span></a></p><p>The description on the publisher's page was not written by me. More about the book's style and content:<br><a href="https://mathstodon.xyz/@diffgeom/114773047982437215" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">mathstodon.xyz/@diffgeom/11477</span><span class="invisible">3047982437215</span></a><br>[Link edited]</p><p><a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://mathstodon.xyz/tags/ITeachmath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITeachmath</span></a></p>
Joe Heafner<p>[2501.04219] Framing the Fundamental Theorem of Calculus Through Physics-Based Quantities <a href="https://scholar.social/tags/ITeachPhysics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITeachPhysics</span></a> <a href="https://scholar.social/tags/ITeachMath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITeachMath</span></a> <a href="https://scholar.social/tags/Calculus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Calculus</span></a> <a href="https://scholar.social/tags/Physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Physics</span></a> </p><p><a href="https://arxiv.org/abs/2501.04219" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="">arxiv.org/abs/2501.04219</span><span class="invisible"></span></a></p>
Alfonso Gonzalez<p>Integrating Technology in Math Classes to Boost Student Autonomy | Edutopia <br><a href="https://techhub.social/tags/MathChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathChat</span></a> <a href="https://techhub.social/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://techhub.social/tags/iTeachMath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>iTeachMath</span></a> <br><a href="https://www.edutopia.org/article/integrating-technology-math-classes-boost-student-autonomy" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">edutopia.org/article/integrati</span><span class="invisible">ng-technology-math-classes-boost-student-autonomy</span></a></p>
Alfonso Gonzalez<p>Deepening Students' Mathematical Reasoning in Science When Working With Data – Digital Promise <br><a href="https://techhub.social/tags/SciChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>SciChat</span></a> <a href="https://techhub.social/tags/Science" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Science</span></a> <a href="https://techhub.social/tags/iTeachScience" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>iTeachScience</span></a> <a href="https://techhub.social/tags/MathChat" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathChat</span></a> <a href="https://techhub.social/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://techhub.social/tags/iTeachMath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>iTeachMath</span></a> <br><a href="https://digitalpromise.org/2025/07/22/deepening-students-mathematical-reasoning-in-science-when-working-with-data/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">digitalpromise.org/2025/07/22/</span><span class="invisible">deepening-students-mathematical-reasoning-in-science-when-working-with-data/</span></a></p>
Fractal Kitty<p>A new inquiry post on my fractalkitty blog:</p><p><a href="https://www.fractalkitty.com/inquiries-week-3-r-and-rotate/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">fractalkitty.com/inquiries-wee</span><span class="invisible">k-3-r-and-rotate/</span></a></p><p>I started making a separate site for tools as I work on this series, and hope to share more soon. For now, it is under construction. </p><p><a href="https://mathstodon.xyz/tags/mtbos" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mtbos</span></a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>math</span></a> <a href="https://mathstodon.xyz/tags/iteachmath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>iteachmath</span></a> <a href="https://mathstodon.xyz/tags/inquiry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>inquiry</span></a> <a href="https://mathstodon.xyz/tags/interactive" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>interactive</span></a></p>
Andrew D. Hwang<p>"An Invitation to Real Analysis" should be out in October. I hope the book helps students around the globe learn real analysis for many years into the future. In any event, getting to tell this story of numbers, sets, functions, sequences and limits, and function spaces is something I got to do in my time here on earth.</p><p>If you are teaching introductory real analysis in Winter/Spring 2026 or beyond, I am deeply grateful for your consideration. The book was written for courses covering material from basics of sets and proofs at one endpoint to metric spaces and selected applications in function spaces at the other. There are over 600 exercises at all levels of challenge. Selected hints, answers, and solutions are in the back, and a complete solution manual will be available for instructors.</p><p>Throughout, I've striven for readability, simplicity, networks of conceptual connections, and consistency of notation and terminology. Consistency was not as straightforward a goal as I first expected.</p><p>There are a few noteworthy choices--such as using descriptive terms in favor of eponyms, and counting starting from 0--that I believe are features even if at first they seem not to be. Other pedagogical choices include using adversarial games systematically to convey analytic definitions, acknowledging the "foreign language" aspects of analysis, and putting material in strict logical order to the extent possible so readers can easily tell at any stage what concepts and results are available for use.</p><p>I'll post further details, including the publisher's web page for the book, once I'm formally notified.</p><p><a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://mathstodon.xyz/tags/ITeachMath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITeachMath</span></a></p>
Alfonso Gonzalez<p>Why math hints matter--and how AI can help <a href="https://techhub.social/tags/iTeachMath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>iTeachMath</span></a> <a href="https://techhub.social/tags/AIEdu" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>AIEdu</span></a> <a href="https://techhub.social/tags/AIinEdu" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>AIinEdu</span></a> <a href="https://www.eschoolnews.com/steam/2025/06/26/why-math-hints-matter-and-how-ai-can-help/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">eschoolnews.com/steam/2025/06/</span><span class="invisible">26/why-math-hints-matter-and-how-ai-can-help/</span></a></p>
Andrew D. Hwang<p>Over my years in academia, I helped create a variety of free online mathematical materials. Pirouette is a Spirograph clone that runs in a web browser. I hope you and your students enjoy the software! Read more:</p><p><a href="https://www.diffgeom.com/blogs/free-online-math-materials/pirouette/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">diffgeom.com/blogs/free-online</span><span class="invisible">-math-materials/pirouette/</span></a></p><p><a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://mathstodon.xyz/tags/MathArt" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathArt</span></a> <a href="https://mathstodon.xyz/tags/ITeachmath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITeachmath</span></a></p>
Fractal Kitty<p>Drafted a 3rd inquiry activity for D3 and D4 play with flips and rotations. </p><p>I am hoping it's not to dry. I'll read through it again tomorrow. </p><p><a href="https://mathstodon.xyz/tags/mtbos" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mtbos</span></a> <a href="https://mathstodon.xyz/tags/dihedral" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>dihedral</span></a> <a href="https://mathstodon.xyz/tags/grouptheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>grouptheory</span></a> <a href="https://mathstodon.xyz/tags/iteachmath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>iteachmath</span></a></p>
foldworks<p>Mathematics Teaching 296 now available online <a href="https://atm.org.uk/Mathematics-Teaching-Journal-Archive/177731" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">atm.org.uk/Mathematics-Teachin</span><span class="invisible">g-Journal-Archive/177731</span></a></p><p>Design and cover photographs by me</p><p>Four free articles for non-members:</p><p>Everyone can think mathematically by Tom Francome<br>Tom Francome explores ways of developing the mathematical thinking of all students, including low attainers.<br><a href="https://atm.org.uk/write/MediaUploads/Journals/MT296/02.pdf" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">atm.org.uk/write/MediaUploads/</span><span class="invisible">Journals/MT296/02.pdf</span></a></p><p>Book review Learning with AI by Ian Benson<br>Ian Benson reviews 'Learning with AI' by Joan Monahan Watson published by Johns Hopkins University Press (296 pages, $24.95)<br><a href="https://atm.org.uk/write/MediaUploads/Journals/MT296/14.pdf" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">atm.org.uk/write/MediaUploads/</span><span class="invisible">Journals/MT296/14.pdf</span></a></p><p>Book review Breaking images by Pete Wright<br>Pete Wright reviews ‘Breaking images: Iconoclastic analyses of mathematics and its education’, edited by Brian Greer, David Kollosche, and Ole Skovsmose.<br><a href="https://atm.org.uk/write/MediaUploads/Journals/MT296/15.pdf" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">atm.org.uk/write/MediaUploads/</span><span class="invisible">Journals/MT296/15.pdf</span></a></p><p>Ole Skovsmose—the man who put the critique in critical mathematics education by Peter Gates<br>Peter Gates has collated this obituary for Ole Skovmose.<br><a href="https://atm.org.uk/write/MediaUploads/Journals/MT296/16.pdf" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">atm.org.uk/write/MediaUploads/</span><span class="invisible">Journals/MT296/16.pdf</span></a></p><p><a href="https://mathstodon.xyz/tags/MathematicsTeaching" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathematicsTeaching</span></a> <a href="https://mathstodon.xyz/tags/iTeachMath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>iTeachMath</span></a> <a href="https://mathstodon.xyz/tags/MathEd" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathEd</span></a> <a href="https://mathstodon.xyz/tags/MathsEd" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MathsEd</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://mathstodon.xyz/tags/Mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mathematics</span></a> <a href="https://mathstodon.xyz/tags/education" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>education</span></a> <a href="https://mathstodon.xyz/tags/design" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>design</span></a> <a href="https://mathstodon.xyz/tags/GraphicDesign" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GraphicDesign</span></a> <a href="https://mathstodon.xyz/tags/atm" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>atm</span></a> <a href="https://mathstodon.xyz/tags/MT" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MT</span></a> <a href="https://mathstodon.xyz/tags/MT296" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MT296</span></a> <a href="https://mathstodon.xyz/tags/photography" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>photography</span></a></p>
Fractal Kitty<p>I have a new blog post for an inquiry activity on modular arithmetic with The Fibonacci Sequence. </p><p>There is a musical toy for listening to patterns. </p><p>I regret not drawing a pigeon for this. It may be a later addition. </p><p><a href="https://www.fractalkitty.com/inquiries-week-2-modular-fibonacci/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">fractalkitty.com/inquiries-wee</span><span class="invisible">k-2-modular-fibonacci/</span></a></p><p><a href="https://mathstodon.xyz/tags/mtbos" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mtbos</span></a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>math</span></a> <a href="https://mathstodon.xyz/tags/iteachmath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>iteachmath</span></a> <a href="https://mathstodon.xyz/tags/pigeonhole" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>pigeonhole</span></a> <a href="https://mathstodon.xyz/tags/fibonadci" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>fibonadci</span></a> <a href="https://mathstodon.xyz/tags/pisano" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>pisano</span></a> <a href="https://mathstodon.xyz/tags/indieweb" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>indieweb</span></a></p>
Fractal Kitty<p>I am starting a new series on the blog for inquiries in math. I posted the first one today:</p><p><a href="https://www.fractalkitty.com/inquiries-week-1-circle-shading/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">fractalkitty.com/inquiries-wee</span><span class="invisible">k-1-circle-shading/</span></a></p><p><a href="https://mathstodon.xyz/tags/mtbos" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mtbos</span></a> <a href="https://mathstodon.xyz/tags/iteachmath" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>iteachmath</span></a> <a href="https://mathstodon.xyz/tags/circles" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>circles</span></a> <a href="https://mathstodon.xyz/tags/graphtheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>graphtheory</span></a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>math</span></a></p>
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