Read on Twitter
1/6 Sharing this again as I think it is great that he is making this series and also overnight I've remembered the (likely) video that he mentions in the 2nd tweet. https://twitter.com/wtgowers/status/1385364812239183872
2/6 The video is Richard Rusczyk of @AoPSNews live solving this problem (video at the end of this thread to (somewhat) avoid spoilers). The problem seems almost unapproachable but Richard's solution is incredibly instructive (especially for students) and extremely beautiful.
3/6 But there are also wonderful non-video examples. I appreciate the mention in Gowers' thread, but my interest in these live solve examples being useful and instructive to students was inspired by a live solve blog post of his from 2014: https://gowers.wordpress.com/2014/07/19/mini-monomath/
4/6 That inspired me to do my own live solve blog post of this problem from the 2016 European Girls' Math Olympiad (this, I think, is *not* the EGMO problem referenced in Gowers' thread). I think this is a great problem to "live solve":
5/6 **sort of spoiler** This one is likely the EGMO problem referenced in Gowers' thread. It is an absolutely brilliant problem with an beautiful and instructive solution, and if there were 1,000 live solves of this problem I'd never grow tired of watching them:
6/6 Finally, here's the video from Richard Rusczyk that I think is 100% terrific as a "live solve" example to show how mathematicians think through problems:
