Concepções de álgebra em teses sobre cursos de Licenciatura em Matemática no Brasil

• Ano de defesa: 2016
• Autor(a) principal: Veiga, Márcia Stochi
• Orientador(a): Maranhão, Maria Cristina Souza de Albuquerque
• Tipo de documento: Tese
• 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: Álgebra; Formação docente; Prática docente
• Palavras-chave em Inglês: Algebra; Teacher training; Teaching practice
• Área do conhecimento CNPq: CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: https://tede2.pucsp.br/handle/handle/19458

This research is aimed at conducting study of Brazilian theses in search of algebra concepts and their relation to teaching practice in undergraduate Mathematics courses through a systematic review of another research, in order to produce others. To perform the analyzes were selected eight theses presented in his work the conjunction of terms Degree in Mathematics and Algebra. For the analyzes were prepared for analysis of twelve categories of the theses. The theoretical references used were the notions of concepts, teaching practice concepts of algebra and his teaching. After the analyzes, it contacted that most theses analyzed admits the influence of teachers conceptions in professional practices and also that they can be modified, but these changes are difficult to occur. The concept of algebra frequently found in the analyzed thesis was the linguistic-stylistic, which considers the algebra as a specific language to express troubleshooting procedures, and natural language as an obstacle. The results indicate that the natural language contributes to reveal misconceptions students, against this conception of algebra that considers natural language as an obstacle to be avoided. The concept of algebra teaching found in the analyzed thesis was the linguistic and pragmatic to consider algebra as a tool for problem solving, through training of algebraic techniques. Research indicates the influence of this concept in the preparation and organization of math, both in Mathematics and in Basic Education. The researchers say that the most usual lecture format is given as follows: presentation of expository mode content, followed by a list of exercises focused on solving artificial in order to have the students directly apply the techniques taught. The research also highlighted that knowledge of the historical development of algebra is a factor that provides a better insight into the construction of mathematical knowledge and the identification of difficulties related to education; that the relationship between arithmetic and algebra students are closer to the arithmetic and committing abusive generalizations number, which is a common practice in the Brazilian Basic Education