Treffer: Contextualized situations related to the affine function: a study in the light of didactic variables and Statistical Implicative Analysis (SIA) ; Situations contextualisées liées à la fonction affine : une étude à la lumière des variables didactique et de l'Analyse Statistique Implicative (ASI) ; Situações contextualizadas relacionadas à função afim: um estudo à luz das variáveis didáticas e da análise estatística implicativa (ASI)

International audience ; This study aims to analyze the didactic approach to the affine function in high school mathematics textbooks in Brazil, from the perspective of didactic variables and with the help of Statistical Implicative Analysis (ASI). A set of didactic variables was adopted, inspired by the work of Tieppo (2024), which allowed the categorization of situations, based on the following variables: context, presentation of the statement, numerical set and data format. Forty-two contextualized situations about affine function were investigated, extracted from three collections of textbooks approved by the National Textbook Program (PNLD, 2021). The results indicate the predominance of some values of the variables, such as the context "cost", the presentation of the statement through natural language and numerical data belonging to the set of natural numbers. Regarding the data format variable, homogeneity was observed between its values. Regarding the quasi-implication relations, the existence of associations between the values of the variables (context, presentation of the statement, numerical set and data format) was verified. For example, situations whose statements are presented through graphs (presentation of the statement) tend to have data expressed by function values, with the numerical data generally belonging to the set of natural numbers (numerical set). ; Cette étude a pour objet l’analyse de l'approche didactique de la fonction affine dans les manuels de mathématiques de l’enseignement secondaire au Brésil, du point de vue des variables didactiques mises en jeu avec l’appui méthodologique de l'analyse statistique implicative (ASI). Un ensemble de variables didactiques a été choisi, inspiré des travaux de Tieppo (2024) qui ont permis la catégorisation des situations, en fonction des variables suivantes : contexte, présentation de l'énoncé, ensemble numérique et format des données. 42 situations contextualisées intégrant des fonctions affines ont été étudiées, extraites de trois collections de ...