> (Still another post from Dan Meyer. The original post > and the comments were interesting to read.) > > When teaching areas of circles and the relationship > between length and area, I am looking forward to this > as a kick-off: > http://blog.mrmeyer.com/?p=9258 > > Richard
This post reminds me of Jonathan Crabtree's post on here a few months ago about how students have different intuitions on what a square twice as big means.
Dan Meyer's post is a good example of a common trick that many use to exaggerate data. Like many people, I generally perceive the ratio of areas immediately as a way to judge their relative sizes rather than the ratios of dimensions. I take it that using ratios of areas rather than just dimensions is quite common; otherwise, why would this trick for trying to exaggerate relative sizes of numbers be as common as it is?
Helping students learn about such tricks is a good lesson for them.