The genesis of proof in ancient Greece: The pedagogical implications of a Husserlian reading

Andreas Moutsios-Rentzos (1) , Panagiotis Spyrou (1)

1 Department of Mathematics [Athens]

In this essay, we present a reading of the genesis of proof in ancient Greece through the lenses of Husserl’s transcendental phenomenology. We argue that the Husserlian perspective acts as the epistemological bedrock upon which a didactical framework that fosters the students’ need for proof may be built. Importantly, we posit that this framework allows for the students’ developing internal need for organising the corpus of mathematical knowledge within a deductively derived structure.

Mots clés: Proof; geometry; Husserl; phenomenology

Domaines: Education; Histoire et perspectives sur les mathématiques [math.HO]

Andreas Moutsios-Rentzos, Panagiotis Spyrou. The genesis of proof in ancient Greece: The pedagogical implications of a Husserlian reading. CERME 9 - Ninth Congress of the European Society for Research in Mathematics Education, Charles University in Prague, Faculty of Education; ERME, Feb 2015, Prague, Czech Republic. pp.164-170. ⟨hal-01281050⟩