Ask the folks who set the math curriculum. If it were up to me nearly all math in school would be application-first and exceptions would be carved off into separate classes, presented very differently, and mostly not required.
Do you think high school students are qualified to decide for themselves whether they'll need math later in life? I never imagined having the kind of career I ended up with. I always thought I'd work as a writer. I ended up as a software engineer.
No, but I think we could make math more useful and less unpleasant for most students by focusing on applications with just a little time for proofs or whatever in case that really piques some student’s interest. I doubt this would discourage many kids who’ll go on to become math majors, and it’d serve everyone else much better. You could still cover a lot of the same stuff.
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