Análise das estratégias e erros dos alunos do 9º ano em questões de álgebra baseadas no Saresp de 2008 a 2011

• Ano de defesa: 2014
• Autor(a) principal: Gonçalves, Alessandro
• 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: Educação algébrica; Estratégias; Erros; Saresp; Aprendizagem
• Palavras-chave em Inglês: Algebraic education; Strategies; Errors; Learning
• Área do conhecimento CNPq: CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: https://tede2.pucsp.br/handle/handle/10988

The aim of this qualitative research is to analyze students strategies, focusing on the errors and difficulties presented to solve a data collection instrument consisted of 13 Algebra questions chosen in the reports of the School Evaluation System of the State of São Paulo ( SARESP ) through the years 2008 to 2011. The research is theoretically based on Movshovitz-Hadar, Zaslavsky, and Inbar (1987) students mathematical errors categories, which are: misused data, misinterpreted language, logically invalid inference, distorted theorem or definition, unverified solution and technical errors. With the application of the data collection and analysis instrument we sought to answer the following research question: Which are the strategies used and the difficulties and errors made by 9th grade students during the process of solving Algebra questions presented in the reports of the School Evaluation System of the State of São Paulo ( SARESP ) during the years 2008, 2009, 2010 and 2011? The research was conducted in a public school in São Paulo and counted with 15 participants. After collecting data, I analyzed the strategies used by the students to solve Algebra questions. During the course of action I tried to identify different strategies comparing them to a pre performed analysis. As the protocols were analyzed, I was looking to identify the possible difficulties and errors made by the students. Those students tried to solve Algebra questions using a variety of strategies, often different from the ones contained in the pre performed analysis. The research allowed the identification of difficulties, specially the ones related to the proper use of language and identification of mathematical symbolism. Some mathematical symbols were not correctly used by some students, highlighting the need to develop this ability. There are also difficulties in specific subjects, such as applying the Pythagorean Theorem, mathematical language transformation and similarity in triangles. Regarding the analyzed errors, there are two main categories which appeared: misused data and technical errors. The diversity of strategies used and the creativity with which some students solved the questions always show how important it is for teachers to propose questions in which the students may use a wider variety of strategies to solve an Algebra question