Tarefas Envolvendo Função Afim em Um Livro Didático: Uma Análise à Luz da Teoria Antropológica do Didático Realizada por Acadêmicos de Licenciatura em Matemática

Abstract

This text presents different analyzes of tasks involving affine functions presented in a textbook. The analyzes were carried out by the authors of this article and by four groups of students from a licentiate degree in Mathematics within the scope of a pedagogical discipline, in which several concepts were approached with the final objective of allowing students to build a teaching sequence for learning. of a related function in a class of the 1st year of high school. The book was analyzed supported by the Anthropological Theory of the Didactic with the intention of identifying the types of tasks and the suggested techniques for their resolution contemplated in the book, as well those types of tasks that are not present, considering the 'affine function' mathematical knowledge. From the data produced by the academics, we sought to identify the personal relationship of the groups with the textbook and with the mathematical object function, whose reflections revealed that such a relationship is different, both the personal relationship of the authors of this text and that of the groups of academics. It was also identified the need for the teacher to analyze and complement the activities proposed in the textbook used in the classroom, in order to provide the acquisition of the mathematical knowledge in question.