I've been intensely interested in the math curriculum for the youngest of children, ever since I've been a young child myself.

I finally wrote down my philosophy of math education down over the pandemic. The biggest idea is to apply iterative deepening to the Stern-Brocot tree, Pascal's Triangle, and the Symmetry Group of the Square.

I've tried to answer why this answer is heuristically so very interesting in my essay "Kevin Bacon and the Stern-Brocot Tree", which I intend to eventually turn into a video lecture with some animations.

I have tried to expand on that answer somewhat with my essay "Tools of Math Construction: an Aggregate Theory of Concrete Mathematics", which is kind of a combination of study guide, literature review, and brain-dump on topics I find particularly interesting and relevant.

This project is somewhat rough and certainly incomplete in many ways, but for the curious you can take a sneak peek here:

https://github.com/constructive-symmetry/constructive-symmetry