Tall, David and Vinner, Shlomo (1981) Concept image and concept definition in mathematics with particular reference to limits and continuity. Educational Studies in Mathematics, Vol.12 (No.7). pp. 151-169. doi:10.1007/BF00305619 ISSN 0013-1954.

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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.

Item Type:	Journal Article
Subjects:	L Education > LB Theory and practice of education Q Science > QA Mathematics
Divisions:	Faculty of Social Sciences > Institute of Education ( -2013)
Library of Congress Subject Headings (LCSH):	Knowledge, Theory of, Concepts, Mathematics -- Study and teaching, Mathematical ability
Journal or Publication Title:	Educational Studies in Mathematics
Publisher:	Springer Netherlands
ISSN:	0013-1954
Official Date:	1981
Dates:	Date Event 1981 Published
Volume:	Vol.12
Number:	No.7
Page Range:	pp. 151-169
DOI:	10.1007/BF00305619
Status:	Peer Reviewed
Access rights to Published version:	Restricted or Subscription Access

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