Resumo

LLANOS, Viviana Carolina  e  OTERO, María Rita. The impact of the didactic functions topogénesis, mesogénesis y cronogénesis in a Research and Study Paths (RSP): The case of the polynomial functions of the second degree. Relime [online]. 2015, vol.18, n.2, pp.245-275. ISSN 2007-6819.  https://doi.org/10.12802/relime.13.1824.

We present some research results on a proposal of study mathematics, on secondary school in Argentina, by Research and Study Paths (RSP). The RSP allows us reconstruct the different Mathematical Organizations (MO) of secondary syllabus. In this paper we describe just the first part of the RSP, the one related to second grade polynomial functions. The didactic experiences were carried out with 163 students, on their 4^th year course. The results on the different experiences are described using the didactic functions of topogenesis, mesogenesis and chronogenesis, based on Yves Chevallard's Anthropologic Theory of Didactic (ATD).

Palavras-chave : Research and Study Paths (RSP); Second grade polynomial functions; Topogenesis; Mesogeneis; Chronogenesis.