Proporcionalidade: uma análise do caderno do professor 7º ano (antiga 6ª série) da proposta implementada pela Secretaria de Educação do Estado de São Paulo no ano de 2008

• Ano de defesa: 2010
• Autor(a) principal: Paula, Mariucha Baptista de
• Orientador(a): Bianchini, Barbara Lutaif
• 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: Proporcionalidade; Educação matemática; Educação algébrica; Matematica > Estudo e ensino; Material didatico
• Palavras-chave em Inglês: Proportionality; Mathematics education; Teaching materials; Education algebraic
• Área do conhecimento CNPq: CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: https://tede2.pucsp.br/handle/handle/11441

The objective of this research is to conduct an analysis of the teacher's book 3 of the third bimester of the 7th year (former 6th grade) of the Elementary School Cycle II provided by the Education Department of the State of Sao Paulo in 2008, focusing on the theme of proportionality, search held in the Learning Situations 1 and 2 of that material aimed at what types of problems multiplicative and what teaching approaches they have. Methodologically our work is of a documentary and literature, in which a survey was conducted in the National Curriculum Parameters Cycle II and Curriculum Proposals in the State of São Paulo in 1986 and 2008. Was also made a survey of other research on proportionality, however we almost did not notice the existence of analysis of material. To base our analysis, we used as a theoretical framework Conceptual Fields Theory of Multiplicative Structures proposed by Gérard Vergnaud (1991). As a result of our research, we found that in Learning Situation 1 there is a multiplicative range of problems, and also verified the existence of an activity disconnected from its purpose, but this fact did not hamper the development of activities. In the Learning Situation 2, we did not observe the same diversity of multiplicative problems, we emphasize that the teaching of proportion was preferred over the ratio. We noticed the existence of two different types of approach to the teaching of proportionality, the first of which focuses on the study of the subject throughout the situations involving the quantities directly and inversely proportional and, second, in order to study the mathematical object and ratio proportion