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I NTUITIVE E XPLANATIONS

O F M ATHEMATICAL I DEAS

ABSTRACT

JERZYPOGONOWSKI

Department of Logic and Cognitive Science Adam Mickiewicz University in Pozna´n

We are going to discuss advantages of intuitive explanations as supplemen- tary didactic tools in mathematical education. A few examples of such explana- tions, related to linguistic factors, perception, physical models and common know- ledge are taken into account. We consider also cross-domain explanations, inside mathematics itself. Intuitive explanations are among the most important compo- nents of the context of transmission of mathematical ideas. The text is based on our experiences in teaching mathematics to the students of cognitive science. The work on this text has been sponsored by the National Scientific Center research grant 2015/17/B/HS1/02232 Extremal axioms: logical, mathematical and cogni- tive aspects.

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