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The concept of integration: a fundamental approach

Published online by Cambridge University Press:  01 August 2016

David Hobbs
Affiliation:
School of Education, University of Exeter EX1 2LU
Simon Relf
Affiliation:
School of Education, University of Exeter EX1 2LU

Extract

According to Richard Courant and Herbert Robbins writing more than fifty years ago in their classic book What is Mathematics? (which is still in print)

‘... today the calculus can be taught without a trace of mystery.’

Sadly for many students entering university with A level Mathematics, and for some leaving university with a degree in Mathematics, this is not so. As was noted by John Smith, for some students there appears to be little understanding of the principles.

Type
Articles
Copyright
Copyright © The Mathematical Association 1998

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References

1. Courant, R. and Robbins, H. What is mathematics? Oxford University Press (1941).Google Scholar
2. Smith, J. D. An intuitive approach to calculus, Math. Gaz. 80 (November 1994) pp. 244264.CrossRefGoogle Scholar
3. Subject core for mathematics, School Examinations and Assessment Council (1993).Google Scholar
4. AEB, GCE Advanced Level Syllabuses for 1996 Examinations, Mathematics and Statistics.Google Scholar
5. ULEAC, Syllabuses for Mathematics Advanced Level and Advanced Supplementary 1996.Google Scholar
6. NEAB, Syllabuses for 1996, Mathematics and Statistics.Google Scholar
7. Bostock, L. and Chandler, S. Pure mathematics 1, Stanley Thornes (1989).Google Scholar
8. Buckwell, G. Mastering mathematics, Macmillan (1991).Google Scholar
9. The School Mathematics Project, Introductory calculus, Cambridge University Press (1991).Google Scholar
10. Hanrahan, V. Porkess, R. and Seeker, P. Pure mathematics 1, Hodder and Stoughton (1994).Google Scholar
11. The Mathematical Association, The teaching of calculus in schools, Bell (1951).Google Scholar
12. Neill, H. and Shuard, H. Teaching calculus, Blackie (1982).Google Scholar
13. Berry, J. Graham, E. and Watkins, A. Learning mathematics through DERIVE, Ellis Horwood (1994).Google Scholar
14. Tall, D. Graphic Calculus II – Integration, Glentop Publishers, (1986).Google Scholar
15. Devlin, K. Mathematics, the science of pattern, Scientific American Books (1994).Google Scholar
16. Mond, D. Differentiation and integration, Mathematics Review, 1 (May 1991) pp. 811.Google Scholar
17. Tall, D. Setting the calculus straight, Mathematics Review, 2 (September 1991) pp. 27.Google Scholar
18. Westaway, F. W. Craftsmanship in the teaching of elementary mathematics, Blackie (1931).Google Scholar
19. Solow, A. (ed.), Preparing for a new calculus, The Mathematical Association of America (1994).Google Scholar
20. Fraga, R. (ed.), Calculus problems for a new century, The Mathematical Association of America (1993).Google Scholar
21. Callahan, J. et al, Calculus in context, W. H. Freeman (1995).Google Scholar