Do I have any followers that know a lot about the history of education (particularly in the US) who could tell me why I learned calculus and not linear algebra in high school?
Do you think it's effective in that sense though? (I really don't know.) There are so many topics in so many areas (not just math) where I think bad orderings *inhibited* my intuition formation.
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I acknowledge there's some utility in it, but have argued in the past that linear algebra (or graph theory!) should be given a chance in high school --- I think HS shows very little math where students get a sense of the creativity possible in the subject.
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To your point, I think US math ed has made people think math is just rote arithmetic and trigonometry formulas, which so disinterested a lot of people that they didn't get to the parts of math where you develop intuition for problem solving and logic
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