Why is most STEM research produced in Eastern Europe, the US, or China?
This really depends on what metrics you are using and has infinite room for gaming.
US undergrads (both native and foreign born) absolutely crush all of these nondescript places you are suggesting are better, and graduate programs make the gap even wider.
A non trivial fraction of those are educated K12 in the US system.
The US was a neat idea we had but it went a little off-kilter around the second half of Pennsylvania.
After you pull out HPYSM, these are not ridiculous rankings either.
Georgia Institute of Technology is 38th in the world by research impact, with the top ten or twenty being your standard prestige universities. (Elsevier)
If the US is so bad, why is a poorer southern state competitive with far more prestigious institutions from other countries you would perceive as better?
This is ahead of University of Tokyo, Urbana Champaign, etc.
To specifically respond to just that one point, New England is in many ways an unusual region so I don’t think we should use the scores from here to come to any particular conclusions about the country in general.
This shouldn’t be taken as a response to your other points, most of which seem reasonable enough or at least I don’t know anything in particular about them.
Sorry for being a bit reactionary there, sometimes a certain opinion is common enough that you respond like it's being stated due to similar comments being a prelude to it.
https://www.edweek.org/teaching-learning/calculus-is-the-pea...
It is possible that the majority of students forget it though, I tutored calculus for a bit and it didn’t always seem like their hearts were in it.
I’d be curious what people’s coolest math tricks are that they’ve used at work. I did like one Taylor Series expansion and felt cool for a week.