> 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.