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Calculus at A-level and its understanding

Published online by Cambridge University Press:  22 September 2016

Philip Maher*
Affiliation:
School of Mathematics, Middlesex Polytechnic, Trent Park, Brantley Road, London N14 4XS

Extract

It is my contention that in the teaching of calculus at A level we have, all too often, been producing an understanding of calculus—and, implicitly, a view of mathematics—that is distorted and unrealistic. I am glad of the chance to air these criticisms in this contribution to the debate about the future of sixth form mathematics. (In this article, “sixth form” is synonymous with A level, whether studied at school or college.) Nevertheless, as I maintain later, the changes now being wrought in sixth form mathematics generally may well prove beneficial.

Type
Research Article
Copyright
Copyright © The Mathematical Association 1991

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References

1. Lakatos, I., Proofs and refutations, eds Worrall, J. and Zahar, E.. Cambridge University Press, Cambridge (1976).CrossRefGoogle Scholar
2. Polya, G., How to solve it (2nd edn). Doubleday, Garden City, New York (1957).Google Scholar
3. Schwarzenberger, R.L.E., Why calculus cannot be made easy, Math. Gaz. 64, 158166 (1980).Google Scholar
4. Tall, David, Looking at graphs through infinitesimal microscopes, windows and telescopes, 64, 2249 (1980).Google Scholar