Mathematics and debate: a dialectical approach
Résumé
In this paper we address the possibility of applying the methodology of debate to the educational setting of a mathematics class. Starting from Aristotelian dialectics, we examine its suitability for scientific, but not-demonstrative uses in light of current views in philosophy of mathematics then propose a taxonomy of debatable motions relevant for mathematics education. We conclude by listing the educational benefits of this novel method and what steps we consider necessary to test it in the classroom setting.
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