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In the Math Corps, we follow a Kids Teaching Kids and, more importantly, Kids Caring About Kids model. At its heart is the belief that every child has greatness within them, whatever that means for them: reaching their full potential, and getting access to the opportunities that can make that a reality. The [ ]
When we teach calculus, we at once introduce (at least) 5 new concepts (limits, tangent lines/slopes, derivatives, area, integrals), all intertwined together. There s no reason for this! Most of these ideas can be introduced much earlier, one at a time. Here s an attempt at the Fundamental Theorem of Calculus (in both directions) for really little [ ]
Announcing: The $10,000 AMR Paper of the Future Prize For centuries, mathematics has been communicated in a fundamentally linear medium: the written page. Yet mathematics itself is nonlinear, dynamic, and structurally rich. Today, technical barriers to dynamic and interactive exposition have largely fallen. Web-based graphics, browser computation, simulation engines, and AI-assisted coding now…
This is Dave Smith, a mathematical artist. He spends a lot of time just messing around, seeing what shapes he can tile in usual ways. Nov 20, 2022, he emails @cs_kaplan to say: he can t figure out how to get this shape to tile periodically. 4 days later: now wouldn t that be a thing? !!! [ ]
My former student Xin Zhang has announced a proof of Zaremba s conjecture, based on a breakthrough of Ilya Shkredov! I m still working through the details (which are extremely technical, so need to be checked very carefully) but at the moment, the strategy seems clear and workable, so I m quite optimistic. Here s the rough outline: The [ ]
My current self-imposed rule for this blog is that for any new post, I also have to transfer here one old Twitter thread (until all those worth documenting have been moved). Here is one from June 2023, from a National Academies meeting on AI assisting mathematical reasoning (boy if we only knew then what we [ ]
This is an extended version of a talk I gave at the Newton Institute s AI for Maths and Open Science conference. A preview was posted on Twitter. My primary interest is research math: solving problems, proving theorems. Before 2019, my main interactions with a computer, beyond email and LaTeX, were with computer algebra systems like [ ]
I ve been on Twitter (now X) since November 2018, after some prodding from both Steve Strogatz and Grant Sanderson. I ve had a lot of great experiences there and learned a ton, interacting with people I never would have encountered otherwise. So I have no inclination to leave that ecosystem. What Twitter has never been great [ ]