That's an American problem though. In most of Europe you need a masters degree to teach highschool and that involves at least an undergrad level of understanding the subjects you will teach.
E.g. in Hungary I had a university CS professor that originally wanted to be a highschool teacher and a highschool physics teacher that originally wanted to be researcher. Their choice of degree didn't determine which outcome they got. The researcher and teacher curriculum had an 80%+ overlap.
> If you can come up with a way to do math without reasoning, that would be, in a sense, even more interesting than AI.
Logic is just syntactic manipulation of formulas. By the early 90s logical reasoning was pretty much solved with classical AI (the last building block being constraint logic programming).
if i presented math problems to the best english mathematicians in chinese, does that mean they arent able to reason? the plain text is an arbitrary constraint
The actual question is, if you presented an undergraduate-level calculus problem to a human who is considered intelligent but who was never given an "understanding" of math in school, would the human be able to solve it? Why or why not?
If so, what exactly would you call the process by which the intelligent human solves the math problem that he or she does not initially understand?
Whatever you call that process is what a reasoning model does. You don't have to call it "reasoning," of course... unless you want other people to understand what you're talking about.
Perhaps in urban settings it does. In the suburbs it is not an issue. Also, it is not an issue if someone looks after the toilet every hour, vacating anyone who doesn't belong.
But OP wasn't talking about solving optimalization problems, but understanding the rules of a business domain.
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