Alfabetização e letramento matemático: perspectivas e relações entre o PNAIC e o livro didático

• Ano de defesa: 2017
• Autor(a) principal: Souza, César Augusto Pimentel de
• Orientador(a): Coutinho, Cileda de Queiroz e Silva
• 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: Faculdade de Ciências Exatas e Tecnologia
• País: Brasil
• Palavras-chave em Português: Letramento matemático; Matemática - Livro didático; Pacto Nacional pela Alfabetização na Idade Certa
• Palavras-chave em Inglês: Solução de problemas; Mathematical literacy; Mathematics - Textbooks; Problem solving
• Área do conhecimento CNPq: CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: https://tede2.pucsp.br/handle/handle/20624

The present study deals with the concepts of Literacy and Mathematical Literacy under the aegis of solving problems from a qualitative, documentary and bibliographical approach. The purpose of this paper is to analyze the convergences and divergences between the guidelines of the PNAIC/2014 Book 4 "Operations in Problem Solving" and a collection of mathematical textbooks for the first years of elementary school (1st, 2nd and 3rd years), focusing on the problems of Additive and Multiplicative Structure. The following French theories were used in the theoretical reference: Gérard Vergnaud's Theory of Conceptual Fields (TCC) and Yves Chevallard's Anthropological Theory of Didactics (TAD). TCC was useful for classifying the types of problems of the Additive and Multiplicative Structure present in Book 4 of the PNAIC/2014 and in the three volumes of textbooks entitled Mathematical Literacy. The TAD, in turn, provided the analysis of the praxeological organizations that are articulated around the types of tasks, techniques, technologies and theories of the problems selected in the textbooks. The results obtained are based on elements and findings that support the idea that there is a partial consonance between the PNAIC’s teacher training book and the textbook. It has been found that some types of TCC problems have not been addressed in Book 4 of the PNAIC and in the Textbooks Collection, and it has also been found, on the basis of the TAD, that although textbook problems are presented with a diversity of contexts and forms, usually demand the same action of the subject in relation to mathematical knowledge. The conceptual and methodological choices identified in the quoted materials are addressed in this research