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Topic: Re: meaningful standards (fwd)
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Posts: 95
Registered: 12/6/04
Re: meaningful standards (fwd)
Posted: May 31, 1995 7:41 PM
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You wrote today-

>I have students do little projects in which they are forced to grapple with
>situations underlying difficult concepts *before* the concepts are defined
>-- after all, that's where the concepts come from.

>I suspect that this is true to some extent at every level.

>This is not saying that we should always go from s. to g.; just that
>sometimes it really works.

The last two years after the AP exam I've used a little book from the MAA and
the U. of New Mexico, entitled "Research Problems in Calculus" (or something
like that. It's at school.) I've had the kids do short papers on these
interesting problems.
I wouldn't say it's been totally worthless, because I'm giving them all one
of the more interesting problems about Houdini and a strait jacket and a
flask full of water to do over the weekend. But I do think we might have
better spent our time. Yes, they do end up producing nice little papers that
will look good if I apply for another job, but I know they didn't learn
nearly as much as when we were working towards the AP exam.

This year we're working out of "Fractals for the Classroom". More structure,
more learning.

Dan Hart

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