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Re: Mathematics and Learning: Polya
Posted:
Aug 22, 1994 5:21 PM


On Mon, 22 Aug 1994, Walter Whiteley wrote:
> It is true that only schematics versions of 'life problems' > lead to general mathematical theory. > However: > (a) the students bring 'life' into the classroom with them.
Oh, yes, of course. Our job is to teach them to schematize it.
> (b) the process of moving from life to the APPROPRIATE' schematic > is part of mathematics (applied mathematics). > > Isn't there room for some movement in the class which involves some 'life' > (openended messy problems of potential complexity) and the theory? > Even when I think I have already done this  I have been struck by > what happens when students ('good students') try to work back from > the theory to a real, physical example. The experience reveals > a lot of misunderstanding. The learning which happens then seems > essential to a wellrounded course of mathematics. > > Walter Whiteley > York University
All this is true.



