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Concept image and concept definition in mathematics with particular reference to limits and continuity

By David Tall and Shlomo Vinner

Abstract

The concept image consists of all the cognitive structure in the individual's mind that is associated with a given concept. This may not be globally coherent and may have aspects which are quite different from the formal concept definition.\ud The development of limits and continuity, as taught in secondary school and university, are considered. Various investigations are reported which demonstrate individual concept images differing from the formal theory and containing factors which cause cognitive conflict.\u

Topics: LB, QA
Publisher: Springer Netherlands
Year: 1981
OAI identifier: oai:wrap.warwick.ac.uk:507

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Citations

  1. (1978). Conflict in the learning of real numbers and limits,
  2. (1977). Conflicts and catastrophes in the learning of mathematics,
  3. (1967). Project: doi

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