Experimental epistemology of mathematics revisited, in the light of inclusive materialism and agential realism
Résumé
We revisit Brousseau’s experimental epistemology of mathematics in the light of the recent materialist and relational turn in mathematics education, initiated by de Freitas and Sinclair. We discuss the role of metaphorising in this context, from an enactivist perspective, contrasting with Nemirovsky’s phenomenology of things. We present and discuss two paradigmatic examples, from our classrooms and from Brousseau’s work, related to the main themes of inclusive materialism and agential realism. We end by pointing out some open questions and suggestions for further research.
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