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by Shooter 6236 days ago
I agree with you wholeheartedly about the mixed signals thing. I definitely experienced that phenomena because of my science pursuits. I can also understand your point about how certain students would develop a "Well I'm NEVER going to do that..." attitude when shown certain specific examples of math. But a more practical applications approach - no matter how poor the examples - should still interest more students than a "I don't know why you have to do it, but just do it" approach.

I think your disagreement with me comes about in part because you are thinking in more concrete, specific terms than I am. You're correct that "You can use this math to build rocket ships" would probably not have helped me if I didn't have an interest in rocket ships. But a teacher wouldn't necessarily use just a single type of example. Beyond that, I'm saying that my teachers never explained the overarching concepts of math and how they were related or explained - in GENERAL terms - what it could be used to do. Each math 'concept' was presented as a discrete type of chore that you completed in order to satisfy some perverse deity for no apparent reason. Math was not presented as a language of logic and reason that could be used to solve practical problems, but as a completely made up busywork exercise. I might as well have spent my time memorizing Klingon grammar rules. I literally didn't realize calculus was the study of change until college, even after having passed a course in it! Maybe you had a better experience with math instructors, and it is just difficult for you to understand how woefully bad some practicing math instructors actually are?

1 comments

Re: my experience with math instructors, you're probably right. I do think that there's a certain sort of base level of application information that should be imparted with any given mathematical topic (for instance, that calculus is about change! Wow, I'm sorry you had such awful teachers), I just think that focus on applications is a method that's been tried already and just hasn't seemed to improve math education enough.