A small anecdote in relation to a recent coffee conversation I had with @TaliaRinger (which they relate over at https://twitter.com/TaliaRinger/status/1681410191278080000 ): Yesterday I spoke with a children's book author who was interviewing me as part of a series she was writing on contemporary scientists. She freely admitted that she did not have great experiences with her math education at an under-resourced school and chose very early on to focus on writing instead. Nevertheless we had an excellent conversation about many mathematical topics that she was not previously familiar with, such as proof by contradiction, Cartesian coordinates, Mobius strips, or compressed sensing, all of which she found fascinating (and said she would read up on more of these topics herself after our interview). I posed to her the isoperimetric problem (using the classic story of Queen Dido from the Aeneid as the intro) and she correctly guessed the correct shape to maximize area enclosed by a loop (a circle), and instantly grasped the analogy between this problem and the familiar fact that inflated balloons are roughly spherical in shape. I am certain that had her path turned out differently, she could have attained far greater levels of mathematical education than she ended up receiving.

This is not to say that all humans have an identical capability for understanding mathematics, but I do strongly believe that that capability is often far higher than is actually manifested through one's education and development. Sometimes the key thing that is missing is a suitable cognitive framework that a given person needs to align mathematical concepts to their own particular mental strengths.

Talia Ringer on Twitter

“Terry Tao and I spoke over coffee for like two hours yesterday, in part about diversity in how people think about math. We both agreed that people who hit these walls early mostly don't learn the way of thinking about math that works for them. It's an educational failure”

Twitter
@tao @TaliaRinger @seanfobbe And other times what's missing is encouraging female students, students of color, and those from lower income households that they, too, can excel in math. Subtle and not-so-subtle social signals that “People like you don't do math well” are very real and have effects.
Proper representation in media and pop culture can also have a big impact as well! Looking back in retrospect, a major thing that got me interested in science and mathematics as a child was watching "Short Circuit 2" with the Indian scientist main character Ben, which was the first time I saw someone who looked like me being represented as cool and something to look up to (though in hindsight, maybe not the best example of representation, seeing as it was actually just a white guy in brown face :( ...). My sister has a lot of self doubt about her skills and capabilities, and I can't help but wonder if this might also have been a factor... :(