Skip to main content
Log in

Students' understanding of differentiation

  • Published:
Educational Studies in Mathematics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • DonaldsonM.: 1963, A Study of Children's Thinking, Tavistock Publications, London, pp. 183–185.

    Google Scholar 

  • HartK. M.: 1981, Children's Understanding of Mathematics: 11–16, John Murray, London.

    Google Scholar 

  • Janvier, C.: 1978, The interpretation of complex Cartesian graphs representing situations —studies and teaching experiments, Unpublished Ph.D. thesis, University of Nottingham.

  • NeillH.: 1978, The Use of Electronic Calculators in the Sixth Form, Durham County Education Committee, Durham.

    Google Scholar 

  • OrtonA.: 1977, ‘Chords, secants, tangents and elementary calculus’, Mathematics Teaching 78, 48–49.

    Google Scholar 

  • Orton, A.: 1980, A cross-sectional study of the understanding of elementary calculus in adolescents and young adults, Unpublished Ph.D. thesis, University of Leeds.

  • OrtonA.: 1983, ‘Students' understanding of integration’, Educational Studies in Mathematics 14, 1–18.

    Google Scholar 

  • ShuardH. and NeillH.: 1977, The Mathematics Curriculum: From Graphs to Calculus, Blackie, Glasgow, pp. xii-xiii.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Orton, A. Students' understanding of differentiation. Educ Stud Math 14, 235–250 (1983). https://doi.org/10.1007/BF00410540

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00410540

Keywords

Navigation