Relating the dialogic and dialectic in mathematical argumentation
Résumé
The research on mathematical argumentation has mainly adopted a dialectic perspective which focuses on understanding the rationality behind the argumentation. However, this approach may have overlooked other key aspects of mathematical argumentation. It is similarly important to understand mathematical argumentation as a social phenomenon, which aligns with a more dialogical approach. In this paper, a short excerpt of a mathematical argumentation had been analysed from the dialogic and dialectic perspectives respectively. Based on the analysis, I argue for the consideration of both perspectives to help us reconceptualise how mathematical argumentation get actualised, and thus, how it can be learnt and taught in the mathematics classroom.
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