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- From: kosowsky@minerva.harvard.edu (Jeffrey J. Kosowsky)
- Subject: Re: Undivided distaste for algebra, more fuel for the fire...
- In-Reply-To: nissim@mary.fordham.edu's message of 20 Jan 93 15:46:00 GMT
- Message-ID: <KOSOWSKY.93Jan21132253@minerva.harvard.edu>
- Sender: usenet@das.harvard.edu (Network News)
- Organization: Harvard Robotics Lab, Harvard University
- References: <1993Jan18.212809.4334@galois.mit.edu> <1jf8f2INN9dl@mtha.usc.edu>
- <1993Jan19.083812@usno06.nor.chevron.com>
- <1993Jan19.214027.21851@schaefer.math.wisc.edu>
- <20JAN199311462556@mary.fordham.edu>
- Distribution: usa
- Date: Thu, 21 Jan 1993 18:22:53 GMT
- Lines: 38
-
-
- >
- > In article <1993Jan19.214027.21851@schaefer.math.wisc.edu>,
- > mueller@schaefer.math.wisc.edu (Carl Douglas Mueller) writes...
- >
- > >>2: My opinion: (you may wish to strech your legs here and skip this part)
- > >> Our schools
- > >> teach FOIL (first, outer, inner, last) instead of the distributive
- > >> principle for doing binomial expansion.
- > >
- > > I learned FOIL from my students the first time I was a TA. Nearly all of
- > >the students I've taught since then have told me that this is how they had
- > >learned to multiply binomials. I think that this is a rather TERRIBLE way
- > >to teach this! It hides what is going on and doesn't allow for the
- > >(rather easy -- if you learn it right) generalization to multiplication of
- > >more general polynomials.
- > >
- > >Carl Mueller (mueller@math.wisc.edu)
- >
- > I agree. I also learned FOIL for the first time at age 37 when teaching
- > Precalculus here. A student complained that FOIL was easier than the
- > distributive law; when I asked what FOIL was, he was shocked that I had
- > never heard of it. He was unimpressed by my statement that FOIL was a
- > special case of a more general law, and that it would be better to under-
- > stand the general law rather than to memorize the special case.
- > -------------------------------------------------------------------------------
- > Leonard J. Nissim (nissim@mary.fordham.edu)
- > Disclaimer: "I speak only for myself."
- >
- > ---------------------------------------------------------------------------
-
-
- O.K. I give-up. I am 29, a math graduate student, and still don't know
- what FOIL is. Should I wait another 8 years or could someone tell me
- what this "trick" is? :.)
-
- Thanks,
- Jeff Kosowsky
-