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It's true that to someone familiar with collegiate mathematics, it doesn't feel too important to make that the goal - sure, why not statistics (except perhaps that a thorough understanding of statistics requires some calculus), or why not discrete mathematics, or number theory, or linear algebra, or set theory...there are lots of topics! Mathematics really is a tree with many branches, and you're correct that the high school track towards calculus just develops one trunk with a couple stunted growths, which is definitely unfortunate.

Unfortunately, I think it comes down to resource constraints: When I attended a relatively wealthy and large suburban school district that offered more courses than most other school system in the state, there were only 18 other students who took AP Calculus BC our senior years (and one anomaly who took it his junior year). There were a couple classes for Calc AB, mostly seniors and a few juniors. That special 18-student course was already pushing the limit on the minimum class size, a couple years prior they hadn't had enough students and didn't offer it at all.

If you'd split the curriculum into discrete math and statistics as well, there wouldn't be enough resources to support those branches. To take a chainsaw to the analogy, you wouldn't have the straight but sturdy tree trunk we have now, you'd have a stump or maybe a shrub.




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