I presented on this problem today!
You can find the slides here:
docs.google.com/presentation...
I don't use speaker notes (just vibes) but I think a recorded version exists and I'll try to link to it if/when I can.
cc #iTeachMath ♾️ bcc #MathSky 🧮
Explorations from Fibonacci Nim Ideas, Wonders, and Unresolved Problems Inspired by the 21st Century Mathematics 2025 Program Benjamin Dickman, Ph.D. || K-12 Mathematics Chair & Teacher Department of ...
in keeping w this program, a problem on my 🧠:
A and B alternate turns. A can take any number of items, but not all, from a single pile. After that, each can take at most 3 times as many as their opponent's previous move. Whoever can't go loses; other wins.
➡️ Winning strategy for pile of 10? of N?
benjamin dickman
First week done ✅
And a great talk from Frank Morgan and high school student Eve Parrott whose work can be found here:
arxiv.org/abs/2407.07122
She also mentioned a program for middle school students called MathPath as meaningful:
www.mathpath.org
Something to keep in mind!
#iTeachMath ♾️ #MathSky
Using Brakke's Evolver, we numerically verify previous conjectures for optimal double bubbles for density $r^p$ in $R^3$ and our own new conjectures for triple bubbles.
arxiv.org
benjamin dickman
There are lots of chances for teachers to work on problems collaboratively, encounter new math ideas, and grow as teachers and mathematicians in community. We also have a great lineup of guest mathematicians who will visit us and share about their work.