Análise de livros didáticos: conceitos de relações e funções e suas múltiplas representações

Abstract

This work presents the analysis of mathematics didactic book, the 9th grade of Basic Education, participants of the National Didactic Book Program (PNLD), on the concepts of relations and functions. For the development of analysis of the books, are considered indication of prescribed curriculum, National Curriculum Parameters (PCNs) and National Curriculum Common Base (BNCC), obtaining the objectives of these documents for the teaching of relations and functions in Basic Education in Brazil. Is made a survey of the historical development of these concepts. As well as a survey of the conceptualizations currently presented, as to definitions and forms of representations, with the purpose of obtaining theoretical support for the analysis of the scientific content presented in the didactic books analyzed. This work also involves, a discussion about the current situation of the teaching of relations and functions and considerations that must be made as to methodologies used in their teaching.This work also involves, a discussion about the current situation of the teaching of relations and functions and considerations that must be made as to methodologies used in their teaching. Were chosen for analysis, the first five didactic books, classified as the most chosen by the country's public schools in the 2017 PNLD program, being analyzed the definitions, representations and approaches in the themes of relations and functions, and presented considerations and conclusions being presented considerations and conclusions about, with utilization of a comparative picture.