O ensino do conceito de função e conceitos relacionados a partir da resolução de problemas
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Data
2010-08-31
Autores
Botta, Eliane Saliba [UNESP]
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Universidade Estadual Paulista (Unesp)
Resumo
Este trabalho de pesquisa se refere ao ensino e à aprendizagem do conceito de função, no Ensino Fundamental e Médio, fazendo uso da Metodologia de Ensino-Aprendizagem-Avaliação de Matemática através da Resolução de Problemas e, também, fazendo uso de análise de erros e concepções errôneas. Duas questões básicas que podem resumir o propósito deste trabalho são as seguintes: (1) É possível antecipar a introdução do conceito de função para as diversas séries do Ensino Fundamental II, com o uso da metodologia acima mencionada? (2) Como o estudo dos erros cometidos pelos alunos pode ajudar no processo de ensino-aprendizagem? Procuramos respostas para essas questões ao analisarmos trabalhos de alunos das diferentes séries dos ensinos Fundamental e Médio, realizados em sala de aula, sob nossa orientação como professora-pesquisadora. As respostas a essas questões se apoiaram em pontos-chave desta pesquisa, referentes a diferentes concepções da álgebra, a princípios da aprendizagem, e a estudo de erros. A análise desses trabalhos nos leva a pensar que é possível antecipar o ensino do conceito de função para a 5a série /6° ano do Ensino Fundamental, de forma intuitiva, ao invés de, como o usual, introduzi-lo formalmente na 1ª série do Ensino Médio. Para o desenvolvimento desta pesquisa utilizamos a Metodologia de Pesquisa de Thomas A. Romberg
This research refers to the teaching and learning of the function concept in elementary school and school, making use of the Mathematics Teaching - Learning - Assessment through Problem Solving Methodology and also making use of error analysis and misconceptions. Two basic questions that can summarize the purpose of this study are: (1) Is it possible to anticipate the introduction of the concept of function for the various grades, II, using the methodology mentioned above? (2) How to study the mistakes made by students can help in the teaching-learning process? We seek answers to these questions by analyzing the works of students of different grades of elementary and high schools, conducted in the classroom, under our guidance as a teacher-researcher. The answers to these questions were supported by key points of this research, referring to different concepts of algebra, to principles of learning and study of errors. The analysis of these students works leads us to think that we can anticipate the teaching of the concept of function to the 5th grade / 6th grade of elementary school, intuitively, rather than, as usual, introduce it formally in first grade of High School. This research was developed following the Research Methodology presented by Thomas A. Romberg
This research refers to the teaching and learning of the function concept in elementary school and school, making use of the Mathematics Teaching - Learning - Assessment through Problem Solving Methodology and also making use of error analysis and misconceptions. Two basic questions that can summarize the purpose of this study are: (1) Is it possible to anticipate the introduction of the concept of function for the various grades, II, using the methodology mentioned above? (2) How to study the mistakes made by students can help in the teaching-learning process? We seek answers to these questions by analyzing the works of students of different grades of elementary and high schools, conducted in the classroom, under our guidance as a teacher-researcher. The answers to these questions were supported by key points of this research, referring to different concepts of algebra, to principles of learning and study of errors. The analysis of these students works leads us to think that we can anticipate the teaching of the concept of function to the 5th grade / 6th grade of elementary school, intuitively, rather than, as usual, introduce it formally in first grade of High School. This research was developed following the Research Methodology presented by Thomas A. Romberg
Descrição
Palavras-chave
Álgebra, Curriculos, Aprendizagem, Ensino, Estudo de erros, Concepções errôneas, Estudo de funções, Conceito de função, Resolução de problemas, Misconceptions, Study of functions, Concept of function in the school curriculum, Problem solving
Como citar
BOTTA, Eliane Saliba. O ensino do conceito de função e conceitos relacionados a partir da resolução de problemas. 2010. 426 f. Dissertação (mestrado) - Universidade Estadual Paulista, Instituto de Geociências e Ciências Exatas, 2010.