Abstract
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.
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References
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.
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Vinner, S. (2018). Concept Formation in Mathematics: Concept Definition and Concept Image. In: Mathematics, Education, and Other Endangered Species. Mathematics in Mind. Springer, Cham. https://doi.org/10.1007/978-3-319-90035-3_4
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DOI: https://doi.org/10.1007/978-3-319-90035-3_4
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