#mathed — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #mathed, aggregated by home.social.
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New post, responding to @mpershan and @Mathforlove : Makeover or Heart Transplant?
https://blog.mathed.page/2026/08/24/makeover-or-heart-transplant/
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@mpershan wrote an embarrassingly enthusiastic post about my curriculum development efforts. I blush!
https://pershmail.substack.com/p/how-henri-picciotto-designs-great
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Mathematics Teaching 300 now available online https://atm.org.uk/Mathematics-Teaching-Journal-Archive/177735
A special edition celebrating 300 issues with a self-referential cover, like MT 150 (https://en.wikipedia.org/wiki/Droste_effect)
Design by me
Five free articles for non-members:
Understanding geometry proof what do students say to AI feedback? https://atm.org.uk/write/MediaUploads/Journals/MT300/06.pdf
Yuqian (Linda) Wang and Hanmin Song explore whether personalised AI feedback can support students’ understanding of geometry proof tasks.An appreciation of Alison Parish (1951–2026) https://atm.org.uk/write/MediaUploads/Journals/MT300/07.pdf
Can pedagogy for problem solving promote equity in the classroom? https://atm.org.uk/write/MediaUploads/Journals/MT300/10.pdf
Laura King reflects on pedagogies to support equity in primary mathematics when teaching problem solvingNumber a disinformation timeline https://atm.org.uk/write/MediaUploads/Journals/MT300/16.pdf
Micheál Ó Dúill traces history and cultures to argue for teaching zero to nine instead of one to ten.If it hadn’t been for Dave… https://atm.org.uk/write/MediaUploads/Journals/MT300/18.pdf
Barbara Binns reflects on Dave Wilson (1947–2026) with contributions from Geoff Faux and Tony Brown.#MathematicsTeaching #iTeachMath #MathEd #MathsEd #Math #Mathematics #teaching #pedagogy #didactics #education #design #GraphicDesign #AMiE #MT #MT300 #recursion #DrosteEffect #number
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Book Review: The Proof in the Code, by Kevin Hartnett
Math is changing, and more change is on the way. Kevin Hartnett's new book "The Proof in the Code" is a great entry point to the world of AI-assisted mathematics, especially for teachers and learners of mathematics.
More here: https://mrhonner.com/archives/21882
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An OpenAI model has disproved a longstanding conjecture regarding what's known as the Unit Distance problem. Says Fields Medalist Sir Timothy Gowers: "This will I think be looked back on as the first time that AI solved a major mathematics problem."
https://openai.com/index/model-disproves-discrete-geometry-conjecture/
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Excited to share my new article investigating the STEM pipeline for students with and without disabilities published open access in Research in Higher Education. High school math taking was a key factor! #StudentswithDisabilities #HigherEd #K12Ed #MathEd
https://link.springer.com/10.1007/s11162-026-09902-9 -
Until March 31, 20% off on my book (There Is No One Way to Teach Math). More info:
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San Francisco stopped offering Algebra 1 in middle school a decade ago. "The number of students enrolled in advanced high school math declined". Shocking! Now the pendulum swings back.
Of course the high-profile people who supported this will never admit that this was a ridiculous idea to begin with. They'll just say it just wasn't implemented properly. And they'll move on to the next big thing in education.
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* The Aftermath of DrawEduMath: Vision Language Models Underperform with Struggling Students and Misdiagnose Errors
https://arxiv.org/abs/2603.00925
* Benchmarking the Pedagogical Knowledge of Large Language Models
https://arxiv.org/abs/2506.18710v1
https://www.fab-ai.org/initiatives/ai-for-education/edtech-quality/resources/benchmarks/about-the-pedagogy-benchmark
* AI‑generated lesson plans fall short on inspiring students and promoting critical thinking
https://theconversation.com/ai-generated-lesson-plans-fall-short-on-inspiring-students-and-promoting-critical-thinking-265355
#AIEd #mathed #teaching #education -
Mathematics Teaching 299 now available online https://atm.org.uk/Mathematics-Teaching-Journal-Archive/177734
Design by me
Five free articles for non-members:
Increasing access for a student teacher with a visual impairment
Zahara Hussain, Emily Thouless, René Hartmann and Helen Thouless explore Zahara’s experiences as a student with a visual impairment on Core Mathematics modules during an undergraduate primary education course.Computational mathematics
Allen Tsui shares some activities for learners aged 8 to 16 to apply mathematics when learning about programming.Introducing Multicolour Maths
Brook Tate shares his love of mathematical relationships expressed in colour.Fixing the mathematics transition from primary to secondary
Tom Manners suggests some ways of improving the transition from Key Stage 2 to 3.Barbara Jaworski (1944–2025)
Peter Gates, Anne Watson and Dave Hewitt remember Barbara Jaworski’s contribution to mathematics education.#MathematicsTeaching #iTeachMath #MathEd #MathsEd #Math #Mathematics #teaching #pedagogy #didactics #education #design #GraphicDesign #AMiE #MT #MT299
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Steven Strogatz's "Infinite Powers" is excellent!
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Short, interesting case study in how AI "fakes proofs": https://tomaszmachnik.pl/case-study-math-en.html
#math #MathEd #AI -
There is no one way: ten approaches to slope!
https://blog.mathed.page/2026/01/23/rate-of-change-no-one-way/
(My response to an insightful post by @dan Meyer.)
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#DebateMath : Is #AI Helpful in Math Education?
Listen on Apple Podcasts: https://podcasts.apple.com/us/podcast/debatemath-podcast/id1596735280
Or listen on Spotify:
https://open.spotify.com/show/3soGg9IF2R2kBWkVUq77NC
Or watch on YouTube: https://www.youtube.com/channel/UCjk47IGz9UmBGYewHNrhF_g/videos
Or check it out wherever you listen to podcasts!
#mtbos #mathed #onted -
Today in class I kept messing up an example. One of my students said "You gotta lock in bro".
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For their "Mathematical Experience Over Break" assignment, a student wrote about the math and physics of rolling up a large snowball. I especially appreciated the observation that as the snowball gets larger, the snow you accumulate via rolling (which is proportional to the area of contact with the ground) decreases relative to the overall volume of ball.
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Our recreational approach to predicting sports outcomes has inspired lots of really deep and interesting math conversations between me and my children, and even better it has taught them that we are not especially good at predicting sports outcomes.
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I taught Integration by Parts earlier than normal this year in #Calculus and one consequence was that a bunch of students used it to integrate
\[ \int \sin^3x \space \cos^2x \space dx \]
which was very surprising, but also very cool! -
I've always found it cool that if you double the smaller acute angle in a 3-4-5 triangle you get the larger acute angle in a 7-24-25 right triangle. You can see this as a consequence of the double angle formula for sine. If \( \alpha \) is the smaller acute angle in a 3-4-5 triangle, then
\[ \sin (2\alpha) = 2\sin\alpha\cos\alpha=2\frac{3}{5}\frac{4}{5}=\frac{24}{25}\]
In fact, if the sine and cosine of an angle are both rational, then so will be the sine and cosine of twice that angle. This gives a way to turn Pythagorean triples into new Pythagorean triples!
For example, suppose \( \alpha \) is an acute angle in a right triangle with \(a^2 + b^2 = c^2 \). Then
\[ \sin 2\alpha = \frac{2ab}{c^2} \]
\[ \cos 2 \alpha = \frac{a^2-b^2}{c^2} \]By the Pythagorean identity
\[ \left(\frac{2ab}{c^2} \right)^2 + \left(\frac{a^2-b^2}{c^2} \right)^2 = 1\]
And so
\[ \left(2ab \right)^2 + \left(a^2-b^2 \right)^2 = \left(c^2\right)^2\]
which of course also follows directly from algebra.For example, using this process
\[ (3,4,5) \mapsto (7,24,25) \mapsto(336,527,625)\]
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I always share this article with my students when introducing the unit circle, but not before asking them if anyone knows what the havercosine of \(\frac{\pi}{3}\) is.
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@soaproot I haven’t worked out any odds for winning any of these games of pyramid. But my experience tells me that smaller pyramids are easier to win. There are two versions of the rule for the stacked pair, and the photo shows the case when the two versions apply: win with one version and lose with the other. If winning is your goal, then allow for a stacked pair to count. Since it’s a game of solitaire, it’s player’s choice.
I played Pyramid a lot as a kid. My grandmother taught me, and my sister and I would play the competitive version. We played a lot of cards in my childhood, every kind of solitaire, trick games like hearts, poker, 21, etc.. No doubt it helped us learn a lot about counting, combinatorics, and probability.
I play a lot of math games with the younger kids I tutor. A significant portion of arithmetic is easily gamified with cards, dice, pencil and paper. Dice and cards are good for whole numbers and you can buy cards called “fraction bars” to gamify the learning of fractions. Sometimes I let the kids win because winning makes them happy, and my primary goal is to keep them entertained while I teach them math. Sometimes I cheat openly as I explain that I want to teach them math more than I want to play the game. #MathEd