Re: [math-fun] Why learn algebra?
Marc LeBrun writes: << Henry wriote:
This is not a (political) troll..."why teach algebra?"
I know you sincerely do not intend it as a troll, but since "why teach X?" is ultimately a social question, it would seem impossible for this to remain a technical or even philosophical discussion. (Personally, I believe the whole issue is moot (ie arguable but of no significance). As, inevitably, the effectiveness of automation improves and the wealth of the world grows, the fraction of humanity for which it is of value to know anything about anything whatsoever is rapidly becoming asymptotically zero...it's all ultimately "enrichment exercises" for which there will uniformly be decreasingly compelling pragmatic (versus esthetic or moral) justification (which was the sort you were soliciting). I view this evolution as a good thing, but recognize others may not, and agree math-fun is not the best venue to contest such positions, so I'll leave it at that).
Funny, Marc's comment reminds me of The Feeling of Power, a short story starring Myron Aub. What is amazing is that I read that story over 45 years ago and have not thought of it once in the interim, yet I remembered the name "Myron Aub". Go *figure*. --Dan P.S. I happen to think that questions of math education are entirely appropriate for this forum, and are important as well.
reluctantly adding my two cents, on this side of the ocean, my wife (psychologist who did non-mathematics type humanities) wonders if it was fair to make her do her last year twice because she failed (only) spherical trigonometry ("boldriehoeksmeetkunde" in flemish). Learn (a+b)*(a-b)=(a^2-b^2) by heart. ok. Same for a^2 +/- 2 a b + b^2 = (a+/-b)^2. But doing excercises (and exams) on 'pattern recognition' on disguised variations of the above are effective screeners for dyslexia. Weed'm out. Same for (strict) orthography. Yes, it's all down to the quality of teachers, their enthousiasm, their didactics. I've had a few good ones (P. Nyns, Van Paemel, Van Boechout, Teugels). Owe them. The real question is: HOW should algebra be tought, and HOW should it be tested in exams. (..waving hands franticly, by lack of arguments ..) W. ----- Original Message ----- From: "Gareth McCaughan" <gareth.mccaughan@pobox.com> To: <dasimov@earthlink.net>; "math-fun" <math-fun@mailman.xmission.com> Sent: Sunday, February 05, 2006 11:05 PM Subject: Re: [math-fun] Why learn algebra?
Go *figure*.
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One of the most basic faults of high school education is failure to teach students to stick with an unpleasant task. Inability to deal with unpleasantness will not serve students in their careers. Ergo algebra.
participants (4)
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dasimov@earthlink.net -
David Wilson -
Gareth McCaughan -
wouter meeussen