A very nice essay Jonathan; you emphasize the maintenance and development of that inquisitive nature inherent in the young but often, sadly, destroyed by rote learning. In my early twenties I took a college algebra course taught by Alex Badea. Dr. Badea was from Eastern Europe and was recruited to work on the Superconducting Super Collider; when the project was cancelled he taught low level math courses at the Houston Community College before securing work with a defense contractor in Dallas, Texas. On the first day of class he told us that, in American math classes, too much emphasis was placed on solutions and not enough on concepts. His theory was that if one develops a thorough understanding of the fundamental concepts then solutions naturally follow. By the end of his class, and certainly after learning calculus and linear algebra, I was thoroughly convinced; I believe his theory is applicable to your thesis.
In the late 90's and early 00's, I volunteered every year with Dean Kamen's FIRST organization. I believe that organization is one of the best things to happen to STEM education in quite some time. The FIRST "coopertition" really hits on all of the points raised in your essay: inquisitiveness; playfulness; cooperation; and unifying all, integrity. I plan to become much more active with FIRST in the near future.
I found your "Playful Learning Landmarks" section quite interesting. Something that Sabine Hossenfelder pointed out on her blog, there seems to be an apparent correlation between the emergence of perspective in Art and the emergence of the scientific method as the proper method for conducting inquiries into the nature of nature. I find it interesting that the Pythagorean Theorem was known almost universally and long before Pythagoras but perspective, in two-dimensional artworks for instance, doesn't really make an appearance until the Renaissance. And then, of course, shortly thereafter it was deconstructed once again and called progress, Ha, Ha, Ha . . . Now that's playful . . .
So what are your thoughts on mathematics? Are you a constructivist and think mathematics evolved with the human mind or are you a Platonist? I know you stated in your comment on my section of the forum that reality computes but I'm curious, do you look at compute in the sense of Max Tegmark or, say, in the sense of Steven Wolfram?
With regards,
Wes Hansen