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I'm a math major who has a bias towards pure, geometrical and continuous maths contrasted to the other genres.
I think a course in the fundamentals of formal logic and philosophy are in due order for high school education. We spend all our time teaching rhetoric and soft argumentation tactics - reminiscent of the Sophists from Ancient Greece - how are people supposed to make informed voting choices if they cannot identify a logical fallacy and are swayed by charisma?
I also think Linear Algebra is more important for most people than multi-variable calculus. I'm biased against probability and discrete math since I'm not as good at it, but I think a rudimentary knowledge of discrete math/combinatorial math in starting as early as middle school would be useful... Also much of geometry is useless for most people - constructing things with a ruler and compass and geometry proofs.
I also think more schools should offer a practical math course - one that teaches how to balance a checkbook and whatnot...
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