Date: May 27, 2013 3:25 PM
Author: Richard Strausz
Subject: Re: When math makes sense - w/ cooking, consruction
> On Mon, 27 May 2013 08:38:53 -0600, Richard Strausz
> <Richard.Strausz@farmington.k12.mi.us> wrote:
> > And here is another Wayne. My students know the
> formulas for surface
> > area and volume, but they often make false
> assumptions. I like this:
> > http://blog.mrmeyer.com/?p=14118
> > Richard
> We've been here before. We've discussed the pizza
> problem in much this
> way. (If one 10-inch pizza will feed two people, how
> many 15-inch pizzas
> will we need to feed nine couples?)
> I don't think that false assumptions are the issue.
> The real problem is
> misunderstanding what volume is and how it's related
> to linear dimensions.
> This, and similar activities, demonstrate very
> clearly that Wayne's
> strategy of *telling* doesn't get at the problem.
> Just as it doesn't work to *tell* Wayne that what he
> advocates doesn't
> work. (No matter how strong the evidence.)
> - --Louis A. Talman
> Department of Mathematical and Computer Sciences
> Metropolitan State University of Denver
Lou, you worded it better than I. I see many students who 'understand' one rule and then try to apply it in all situations.