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

David Tall; Shlomo Vinner

doi:10.1007/BF00305619

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

David Tall, Shlomo Vinner

Research output: Contribution to journal › Article › peer-review

886 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 language	English
Pages (from-to)	151-169
Number of pages	19
Journal	Educational Studies in Mathematics
Volume	12
Issue number	2
DOIs	https://doi.org/10.1007/BF00305619
State	Published - 1 May 1981
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Education

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10.1007/BF00305619

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title = "Concept image and concept definition in mathematics with particular reference to limits and continuity",

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.",

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

Abstract

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