Concept Formation in Mathematics: Concept Definition and Concept Image

  • Shlomo Vinner
Part of the Mathematics in Mind book series (MATHMIN)


In this chapter I discuss concept formation in mathematics. On one hand, mathematical concepts (in case they are not primary concepts) should be formed by their mathematical definitions. However, the practice shows that, generally, with the majority of people, this is not true; concepts are formed by means of their examples.


  1. Vinner, S. (1983). Concept definition, concept image and the notion of function. The International Journal of Mathematical Education in Science and Technology, 14(3), 293–305.CrossRefGoogle Scholar

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© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Shlomo Vinner
    • 1
  1. 1.The Hebrew University of JerusalemJerusalemIsrael

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