Advertisement

Educational Studies in Mathematics

, Volume 14, Issue 3, pp 235–250 | Cite as

Students' understanding of differentiation

  • A. Orton
Article

Abstract

A clinical interviewing method was used to investigate students' understanding of elementary calculus. The analysis of responses to tasks concerned with differentiation and rate of change led to detailed data concerning the degree of understanding attained and the common errors and misconceptions. Some conclusions were drawn concerning the teaching of differentiation and rate of change. This article is a companion to a previous article concerning integration and limits.

Keywords

Detailed Data Previous Article Common Error Elementary Calculus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. DonaldsonM.: 1963, A Study of Children's Thinking, Tavistock Publications, London, pp. 183–185.Google Scholar
  2. HartK. M.: 1981, Children's Understanding of Mathematics: 11–16, John Murray, London.Google Scholar
  3. Janvier, C.: 1978, The interpretation of complex Cartesian graphs representing situations —studies and teaching experiments, Unpublished Ph.D. thesis, University of Nottingham.Google Scholar
  4. NeillH.: 1978, The Use of Electronic Calculators in the Sixth Form, Durham County Education Committee, Durham.Google Scholar
  5. OrtonA.: 1977, ‘Chords, secants, tangents and elementary calculus’, Mathematics Teaching 78, 48–49.Google Scholar
  6. Orton, A.: 1980, A cross-sectional study of the understanding of elementary calculus in adolescents and young adults, Unpublished Ph.D. thesis, University of Leeds.Google Scholar
  7. OrtonA.: 1983, ‘Students' understanding of integration’, Educational Studies in Mathematics 14, 1–18.Google Scholar
  8. ShuardH. and NeillH.: 1977, The Mathematics Curriculum: From Graphs to Calculus, Blackie, Glasgow, pp. xii-xiii.Google Scholar

Copyright information

© D. Reidel Publishing Company 1983

Authors and Affiliations

  • A. Orton
    • 1
  1. 1.School of EducationUniversity of LeedsUSA

Personalised recommendations