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- Newsgroups: sci.math
- Path: sparky!uunet!newsgate.watson.ibm.com!yktnews!admin!yktnews!prener
- From: prener@watson.ibm.com (Dan Prener)
- Subject: Re: group theory for HS students
- Sender: news@watson.ibm.com (NNTP News Poster)
- Message-ID: <PRENER.92Nov7191213@prener.watson.ibm.com>
- In-Reply-To: rbrown1@cc.swarthmore.edu's message of Sat, 7 Nov 1992 21:48:31 GMT
- Date: Sun, 8 Nov 1992 00:12:13 GMT
- Distribution: sci
- Disclaimer: This posting represents the poster's views, not necessarily those of IBM
- References: <ARA.92Nov6191321@camelot.ai.mit.edu> <BxCLoy.5rE@mentor.cc.purdue.edu>
- <04VSB5M6@cc.swarthmore.edu>
- Nntp-Posting-Host: prener.watson.ibm.com
- Organization: IBM T.J. Watson Research Center, Hawthorne, New York
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-
- In article <04VSB5M6@cc.swarthmore.edu> rbrown1@cc.swarthmore.edu (Randolph Gregory Brown) writes:
-
- [ ... ]
-
- > Math teaching suffers from a chronalogical problem -- just
- >because calculus was invented (discovered if you really want) before
- >group theory doesn't mean that it should be learned beforehand.
-
- The conventional order of the mathematics curriculum isn't based on the
- history of mathematics. It is a compromise to accomodate a heterogeneous
- audience.
-
- If math courses had the training of mathematicians as their only purpose,
- then the ordering would be more like what you suggest. On the other hand,
- there is an urgent need to provide, say, physics students, with calculus
- at an even faster rate than is usually done.
-
- So the compromise gives everyone a quick jolt of calculus, then gets on
- with other stuff. Real analysis courses are an explicit recognition that
- that first jolt of calculus wasn't really part of the orderly training
- of mathematicians.
- --
- Dan Prener (prener@watson.ibm.com)
-