A abordagem da noção de função nos livros didáticos: possibilidades de investigação, exploração, problemas e exercícios

Detalhes bibliográficos
Ano de defesa: 2010
Autor(a) principal: Atayde, Alan Florêncio de lattes
Orientador(a): Traldi Júnior, Armando lattes
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Pontifícia Universidade Católica de São Paulo
Programa de Pós-Graduação: Programa de Estudos Pós-Graduados em Educação Matemática
Departamento: Educação
País: BR
Palavras-chave em Português:
Palavras-chave em Inglês:
Área do conhecimento CNPq:
Link de acesso: https://tede2.pucsp.br/handle/handle/10822
Resumo: The present research collects the study of functions presented in three math collections approved by PNLEM (National Program of High School Textbook) in 2009. This work's emphasis is on the approach of these three books from the 1st grade in High School. Accordingly, the aim of this work is to verify if the notion of function and polynomial function are approached in the textbooks from the 1st grade approved by (PNLEM 2009) match the recommendations proposed by (PCN+ 2002), and if these books are proposing activities that allow to explore strategies of problems solving and investigation. Therefore, we sought to answer the following questions: How is the notion of function and polynomial function in the textbooks from the 1st grade in High School approached? Are the Math textbooks in High School, related to the function, proposing activities that allow to explore investigation and problems solving strategies? In which way do the textbooks approach the notion of function and polynomial function from the 1st grade in High school match the recommendations proposed by PCN+ and PCNEM? The purpose of this study is to understand in a rational way how is the study of functions being proposed polynomial from the 1st grade in High School, considering the textbook is one of the sources of advice for teacher to prepare his lecture. In this perspective, we read the PNLEM 2009 report of the approved books to analyze them. We chose to use a qualitative research approach in an attempt to answer the questions. Throughout our work we try to be aware of official recommendations, regarding to notion of function and polynomial function from the 1st grade. Thus, we found the books we adopted for our research have as a starting point the function concept construction to explore the relationship between magnitudes through problem solving. These books showed coherence between theoretical text and exercises with some differences in the pictures, although two collections had a larger quantity of pictures and a third collection not so much. And finally, the books have adopted a posture according to official recommendations, approached the function concept as an important role to describe and study trough reading, interpretation and graphs construction, moreover, introducing other knowledge areas