Teaching the derivative in the secondary school

Panero, Monica (2015) Teaching the derivative in the secondary school. UNSPECIFIED. In: CIEAEM 67 - Teaching and learning mathematics: resources and obstacles, Proceedings of CIEAEM 67, July 20-24, 2015, Aosta, Italy.

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In this paper I want to focus the attention on a specific mathematical content of the secondary curriculum: the derivative concept. Drawing on the work done in my PhD thesis, I outline two moments of the didactic transposition (Chevallard, 1985) of this notion in the secondary school. More precisely, I focus on the introduction of the derivative through the problem of the tangent to a generic function within two textbooks and in the case of a teacher in her grade 13 classroom. The aim is identifying how the local dimension intervene in the work on the function that has to be differentiated.

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