Understanding the calculus

Article English OPEN
Tall, David;
  • Publisher: Association of Teachers of Mathematics
  • Subject:
    acm: MathematicsofComputing_GENERAL

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 investigat... View more
  • References (9)

    1. D P Ausubel, J D Novak & H Hanesian: Educational Psychology: A Cognitive View, Holt, Rinehart & Winston,1968.

    2. B Cornu B: Apprentissage de la notion de limite: Conceptions et Obstacles, Doctoral thesis, Grenoble,1983.

    3. A Orton: A cross-sectional study of the understanding of elementary calculus in adolescents and young adults, Ph.D. thesis, Leeds University,1980.

    4. R L E Schwarzenberger: 'Why calculus cannot be made easy', Mathematical Gazette, 64, 158-166, 1980.

    5. R L E Schwarzenberger & D O Tall: 'Conflicts in the learning of real numbers and limits', Mathematics Teaching, 82, 44-49,1978.

    6. R R Skemp: 'Relational understanding and instrumental understanding', Mathematics Teaching, 81, 20-26, 1976.

    7. R R Skemp: 'Goals of learning and qualities of understanding', Mathematics Teaching, 88, 44-49,1979.

    8. D O Tall & S Vinner: 'Concept image and concept definition in mathematics', with particular reference to limits and continuity', Educational Studies in Mathematics, 12, 151-169,1981

    9. D O Tall: Graphic Calculus I, II, III:, Glentop Publishing,1986.

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