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

David Tall, Shlomo Vinner

Research output: Contribution to journalArticlepeer-review

719 Scopus citations

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. 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.

Original languageEnglish
Pages (from-to)151-169
Number of pages19
JournalEducational Studies in Mathematics
Volume12
Issue number2
DOIs
StatePublished - 1 May 1981
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics (all)
  • Education

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