Concept image and concept definition in mathematics with particular reference to limits and continuity
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. ISSN 0013-1954
WRAP_Tall_dot1981a-concept-image.pdf - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Official URL: http://dx.doi.org/10.1007/BF00305619
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|
|Page Range:||pp. 151-169|
|Access rights to Published version:||Restricted or Subscription Access|
School Mathematics Project: 1967 (revised 1970). Advanced Mathematics
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