1984: Organizações didáticas nos livros didáticos nos anos iniciais do ensino fundamental: o caso da noção de raciocínio combinatório

Abstract

The aim of the research was to analyze praxeological (PO) organizations around the mathematical object Notion of Combinatory Reasoning in two collections of textbooks from 1st to 5th year of EF, used in schools in the city of Belém / PA. This made it possible to highlight and characterize the didactic organization of mathematical knowledge, based on the didactic books approved by the National Textbook Plan, 2013 and 2016, as well as the National Curriculum Parameters, the Book Review Guidebook National Curriculum Reference Matrix for this year of schooling (1st to 5th year of EF). In this sense, to study this object, the Anthropological Theory of Didactics, proposed by Yves Chevallard is adopted as theoretical reference, and a methodological approach is made based on qualitative research, carried out through the bibliographic study. The results of this research highlight some important issues, such as: the focus of the two collections of textbooks based on the resolution of activities, in a purely classical approach. We observe a change in the technique to calculate the proposed activities, from a point organization to a local organization, and also that the tasks and techniques related to the calculations of possibilities and numbers of combinations have not changed. Over the years in both collections of textbooks. Thus, the praxeological organization around these two collections of didactic books analyzed according to Gascon are classic.