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Originally Posted by mjg
You can make this argument,
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Which argument, mine? I'll assume that, but I wonder if you're in fact responding to something else.
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I think math is way more important then most people realize. |
I don't disagree with that one bit. In fact, I would rate innumeracy in students as one of my top professional peeves.
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The idea that most people aren't intuitive enough to learn advanced math is a pessimistic outlook on average human capability. |
OK, maybe you weren't replying to me, because I didn't say this AT ALL. I fully agree that many more people could learn calculus if it were taught better, but I don't see why this would be better than learning any number of other topics, like discrete math or prob & stat.
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I think that attitude is a major part of the core of the problem! |
I agree again. However, I believe that teaching calculus as a default tends to encourage the negative attitude. I loved math until I got to calculus, then I found it astonishingly dull, and when I realized how much other "higher" math wasn't calc I went back to loving math. I think placing calc where it is in the curriculum--that is, required for everyone right after algebra/trig--is EXACTLY part of the problem.
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Dulling the requirements in education and looking for practicality alone is all part of diffusing and brushing off a problem, rather then approaching it and handling it. |
We agree in principle, but I guess not in practice. I don't think replacing calc with prob and stat would be necessarily any less rigorous--this would not be "dulling" the requirements, just changing the focus. I think calculus is the wrong focus for virtually everyone except maybe for engineers who know they'll actually be using it. I object to calculus strictly for the sake of calculus.
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We need to build stronger students by actually forcing and pushing them towards doing work that makes them think! Challenge students, involve them in a study, don't hand them eveything on a silver platter, and let them complain, then give it to them their way... In the long run, perhaps they might be thankful since they would've never realized their potential had they not recieved this sort of push. |
I agree with this as well--but as someone who teaches statistics at the graduate level (though admittedly to social scientists), it is
definitely the case that students can be pushed and challenged with prob and stat just as easily as they can with calculus. And, frankly, I think more students would rise to the challenge if the material were more germane than calculus.
But that could just be me.