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RE: Proving the base angles theorem w/out constructing anything
Posted:
Nov 26, 2005 9:33 PM
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It has been along time since Dolciani taught 15 year olds, if ever. And the
ones she taught did not grow up with video games like tetras where the
object is to arrange congruent shapes to fit in the appropriate slots.
Today's kids are quite comfortable with the notion of transformations.
Math is the second most exciting thing
John Benson
715 South Boulevard
Evanston IL 60202-2907
(847) 328-8019 (847) 571-6341 (cell)
Evanston Township High School
1600 Dodge Avenue
Evanston IL 60204
(847) 424-7117 E8125
_____
From: NealAgMan@aol.com [mailto:NealAgMan@aol.com]
Sent: Saturday, November 26, 2005 7:41 PM
To: talmanl@mscd.edu; j-benson2@comcast.net
Cc: approve@support1.mathforum.org;
geometry-pre-college@support1.mathforum.org
Subject: Re: Proving the base angles theorem w/out constructing anything
Lou----at least for Prof. Mary Dolciani's take on your question, look at the
response I posted. She states expressly that that proof "seems elusive to
many students." It seems to me that she is absolutely right. If I have
trouble with it, after studying quite a bit of geometry and spending years
pouring over geometry books to see various approaches to different problems,
I can't help but think that the average 15 year old will be somewhat lost.
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