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


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

1981-05

AUTHORS

David Tall, 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. 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. More... »

PAGES

151-169

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf00305619

DOI

http://dx.doi.org/10.1007/bf00305619

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1012824368


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