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

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Tall, David; Vinner, Shlomo;

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.\ud The development of limits ... View more
  • References (4)

    f ( x ) = School Mathematics Project: 1967 (revised 1970). Advanced Mathematics (Metric), Books 1-4, Cambridge University Press.

    Schwarzenberger, R. L. E. and Tall, D. O.: 1978. Conflict in the learning of real numbers and limits, Mathematics Teaching 82, 44-9.

    Tall, D. O.: l977a. Cognitive conflict and the learning of mathematics, paper presented to the International Group for the Psychology of Mathematics Education, Utrecht, Holland.

    Tall, D. O.: 1977b. Conflicts and catastrophes in the learning of mathematics, Mathematical Education for Teaching, 2 4, 2-18.

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