Análise dos usos da variável presente no caderno do aluno na introdução à álgebra da Proposta Curricular do Estado de São Paulo do ensino fundamental II de 2008 e 2009

• Ano de defesa: 2011
• Autor(a) principal: Bailo, Fernanda Roberta Ravazi
• 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; Diferentes usos da variável; Modelo 3UV; Material didático; Proposta Curricular do Estado de São Paulo
• Palavras-chave em Inglês: Algebraic education; Different uses of the variable; 3UV Model; Didactic material; Proposal Curriculum of the State of Sao Paulo
• Área do conhecimento CNPq: CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: https://tede2.pucsp.br/handle/handle/10858

This present qualitative research of documentary stamp have as aims to investigate what the different uses of variable emerge from the teaching sequence, that comprise the four Situations of Learning of Caderno do Aluno the 6th grade (7 grade) volume 4-2009, suggested in Curriculum Proposal of the State of Sao Paulo of Elementary School II in the year 2008. The choice for the analysis of this material is in the reason of this contains Situations of Learning involving the introduction to the study of Algebra, it the same should be used by all teachers and students at Network Schools the State of Sao Paulo. For its development we use a tool used theoretical-methodological called the 3UV Model, this model presents an interpretation of the concept of variable in three main uses in teaching algebra school - unknown specific; number generic; and a functional relationship. Moreover, we investigated if the concepts of algebra second Usiskin (1995) and the dimensions of algebra the second Parâmetros Curriculares Nacionais (BRAZIL, 1998) are also present in Learning Situations. During the development of this work we noticed that both the PCN (BRAZIL, 1998) as the Caderno do Professor (SAO PAULO, 2009) they make explicit that this first contact with Algebra must occur a meaningful learning and they emphasize that these contents will be resumed in series following. As result of research we conclude that the Model 3UV, the concepts of algebra of Usiskin (1995) and the dimensions of algebra according to the PCN (BRAZIL, 1998) can be identified in the Situations of Learning analyzed, however, according to the model 3UV these situations are emphasized the use the variable as unknown specific and generic number. In the concepts of algebra of Usiskin (1995) is not present the conception of Algebra as the study the structures and in the dimensions of algebra according to the PCN (BRAZIL, 1998) is not contained in the dimension of Algebra Structural. This work have with product provide the differentiation between the different uses of variables for better exploitation of the teacher and will be available for consultation by teachers in print and digital in the separately this dissertation