Central and East European
Society for Phenomenology

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186177

The philosophy of mathematical education between Platonism and the computer

Michael Otte

pp. 61-79

Abstract

Mathematics causes some specific epistemological and educational difficulties. On the one hand, it must accept the merely representational character of all knowledge. On the other hand, mathematical knowledge claims a special truth status, compared to other knowledge. The difference between a symbol and a thing is that symbols have meaning and that meaning is always something personal and thus subjectively biased. To counteract this fact, logic and mathematics have tried to formalize sense or meaning, reducing it to formal syntax, to sets of rules and recipes. Hence result specific educational difficulties. For example, difficulties to stimulate creativity and encourage insight.

Publication details

Published in:

Ernest Paul (2018) The philosophy of mathematics education today. Dordrecht, Springer.

Pages: 61-79

DOI: 10.1007/978-3-319-77760-3_4

Full citation:

Otte Michael (2018) „The philosophy of mathematical education between Platonism and the computer“, In: P. Ernest (ed.), The philosophy of mathematics education today, Dordrecht, Springer, 61–79.