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

>

> <http://rowdy.msudenver.edu/~talmanl>

Lou, you worded it better than I. I see many students who 'understand' one rule and then try to apply it in all situations.

Richard