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Understanding the calculus

By David Tall

Abstract

A number of significant changes have have occurred recently that give us a golden opportunity to review the teaching of calculus. The most obvious is the arrival of the microcomputer in the mathematics classroom, allowing graphic demonstrations and individual investigations into the mathematical ideas. But equally potent are new\ud insights into mathematics and mathematics education that suggest new ways of approaching the subject.\ud In this article I shall consider some of the difficulties encountered studying the calculus and outline a viable alternative approach suitable for specialist and non-specialist mathematics students alike

Publisher: Association of Teachers of Mathematics
Year: 1985
OAI identifier: oai:wrap.warwick.ac.uk:495

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Citations

  1. A Orton: A cross-sectional study of the understanding of elementary calculus in adolescents and young adults,
  2. B: Apprentissage de la notion de limite: Conceptions et Obstacles, Doctoral thesis,
  3. Concept image and concept definition in mathematics’, with particular reference to limits and continuity‘, doi
  4. Conflicts in the learning of real numbers and limits’,
  5. Hanesian: Educational Psychology: A Cognitive View,
  6. Schwarzenberger: ‘Why calculus cannot be made easy’, doi
  7. Skemp: ‘Goals of learning and qualities of understanding’,
  8. (1976). Skemp: ‘Relational understanding and instrumental understanding’, doi
  9. Tall: Graphic Calculus I, II, III:, Glentop Publishing,1986.

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