The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » Math Topics » geometry.pre-college

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Classification of quadrilaterals
Replies: 17   Last Post: Jan 11, 1995 6:43 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]

Posts: 243
Registered: 12/6/04
Re: Classification of quadrilaterals
Posted: Dec 17, 1994 8:37 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

I would like to thank John Conway for providing an example of meaningful
classification, where there is real mathematical content. The rough idea
is that the more "regularity" there is in a shape, the more symmetries it
has, e.g. the square has more symmetries than the rectangle. "What has
more symmetries?" then gives rise to a meaningful hierarchy which can
extend in many directions (e.g. where's the circle in such a hierarchy?).
This is exactly the sort of thing that is missing from much of our teacher
education materials. We sell our future teachers short by asking too
little real cognition of them.

Judy Roitman, Mathematics Department
Univ. of Kansas, Lawrence, KS 66049

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.