Sobre as operações matemáticas e o cálculo mental

Detalhes bibliográficos
Ano de defesa: 2010
Autor(a) principal: Ananias, Eliane Farias lattes
Orientador(a): Lins, Abigail Fregni lattes
Banca de defesa: Rêgo, Rogéria Gaudencio do lattes, Moita, Filomena Maria Gonçalves da Silva Cordeiro lattes
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Universidade Estadual da Paraíba
Programa de Pós-Graduação: Mestrado Profissional em Ensino de Ciências e Matemática
Departamento: Ensino de Física
País: BR
Palavras-chave em Português:
Palavras-chave em Inglês:
Área do conhecimento CNPq:
Link de acesso: http://tede.bc.uepb.edu.br/tede/jspui/handle/tede/1657
Resumo: By carrying out a research work on the use of games in mathematical education under Piaget´s constructivist perspective, we realized that was from the XX Century which more relevant contributions appeared under teaching proposes that incorporated the use of pedagogical materials. The research work and studies of Piaget, Grando, Brenelli, Bittar and Freitas, Mendonça and Lellis, Piaget and Chomsky, Costa, Parra, Alves and Ramos based the research work in question. From this reality, the research aimed to investigate, to intervene and to analyze cognitive aspects on the construction and recall of mathematical concepts (addition, subtraction, multiplication and division) and the ability of mental calculus in the teaching and learning of Mathematics by using the Calendar and the Dominó game having the four operations as resources. The research work carried out is presented as a case study done in a public primary school in the city of Campina Grande Paraiba, with twenty five students between ten to eleven years old. The data collection was done in five moments by the classroom being the research environment. The data was analyzed by taking into account three categories which emerged from the five moments. Triangulation was the technique used in our analyses. As findings, the research work has initially shown that the students were not conscious that they were able to do mental calculus. The classroom environment itself showed to be good for knowledge construction, as the students showed interest and good during all the moments of the research. In this context, the Mental Calculus, within the developed activities with the use of the Calendar and the Dominó Game for the four operations, contributed for the students to be conducted gradually for constructed and recalled mathematical concepts within the Mathematical Operations. For seeking cognitive structures equilibration, the group work, which was not the focus of our research work, has shown to be important factor in the development of the students cognitive aspects. The research work also provoke the students teacher reflection on the use of Mental Calculus and of ludic activities in the classroom, mainly in the teaching concepts on Mathematical Operations, making her to realize improvement on the students learning process.
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spelling Lins, Abigail FregniCPF:11478816856LINS, Abigail FregniRêgo, Rogéria Gaudencio doCPF:30911613404http://lattes.cnpq.br/3882610066313180Moita, Filomena Maria Gonçalves da Silva CordeiroCPF:83996303491http://lattes.cnpq.br/6428823615325023CPF:02852467470http://lattes.cnpq.br/1964534573261361Ananias, Eliane Farias2015-09-25T12:18:15Z2012-07-112010-12-13ANANIAS, Eliane Farias. About mental arithmetic and mathematical operations. 2010. 191 f. Dissertação (Mestrado em Ensino de Física) - Universidade Estadual da Paraíba, Campina Grande, 2010.http://tede.bc.uepb.edu.br/tede/jspui/handle/tede/1657By carrying out a research work on the use of games in mathematical education under Piaget´s constructivist perspective, we realized that was from the XX Century which more relevant contributions appeared under teaching proposes that incorporated the use of pedagogical materials. The research work and studies of Piaget, Grando, Brenelli, Bittar and Freitas, Mendonça and Lellis, Piaget and Chomsky, Costa, Parra, Alves and Ramos based the research work in question. From this reality, the research aimed to investigate, to intervene and to analyze cognitive aspects on the construction and recall of mathematical concepts (addition, subtraction, multiplication and division) and the ability of mental calculus in the teaching and learning of Mathematics by using the Calendar and the Dominó game having the four operations as resources. The research work carried out is presented as a case study done in a public primary school in the city of Campina Grande Paraiba, with twenty five students between ten to eleven years old. The data collection was done in five moments by the classroom being the research environment. The data was analyzed by taking into account three categories which emerged from the five moments. Triangulation was the technique used in our analyses. As findings, the research work has initially shown that the students were not conscious that they were able to do mental calculus. The classroom environment itself showed to be good for knowledge construction, as the students showed interest and good during all the moments of the research. In this context, the Mental Calculus, within the developed activities with the use of the Calendar and the Dominó Game for the four operations, contributed for the students to be conducted gradually for constructed and recalled mathematical concepts within the Mathematical Operations. For seeking cognitive structures equilibration, the group work, which was not the focus of our research work, has shown to be important factor in the development of the students cognitive aspects. The research work also provoke the students teacher reflection on the use of Mental Calculus and of ludic activities in the classroom, mainly in the teaching concepts on Mathematical Operations, making her to realize improvement on the students learning process.Ao realizar um estudo sobre o uso de jogos e a habilidade de cálculo mental na educação matemática, sob a perspectiva construtivista de Piaget, percebemos que foi a partir do século XX que apareceram as contribuições mais relevantes com propostas de ensino sobre os mesmos. Os estudos e pesquisas de Piaget, Grando, Brenelli, Bittar e Freitas, Mendonça e Lellis, Piaget e Chomsky, Costa, Parra, Alves e Ramos nortearam a pesquisa em questão. Diante desta realidade, essa pesquisa teve como objetivo investigar, intervir e analisar aspectos sobre construção e resgate de conceitos matemáticos (adição, subtração, multiplicação e divisão) e a habilidade de Cálculo Mental no ensino e aprendizagem da Matemática, utilizando o Calendário e o Jogo de Dominó com as Quatro Operações, como recursos. A pesquisa que realizamos se apresenta como um Estudo de Caso, realizado em uma escola primária da rede pública da cidade de Campina Grande - Paraíba, com vinte e cinco alunos, entre dez e onze anos. A coleta de dados se deu em Cinco Momentos, sendo o ambiente de pesquisa a própria sala de aula. Os dados foram analisados levando-se em consideração três categorias que emergiram dos Cinco Momentos. A técnica de triangulação foi utilizada em toda a análise. Como resultados, a pesquisa revelou inicialmente que os alunos não tinham consciência de que eram capazes de calcular mentalmente. O próprio ambiente sala de aula mostrou-se propício para a construção de conhecimento, uma vez que os alunos apresentaram interesse e gosto durante todos os momentos da pesquisa. Neste contexto, o Cálculo Mental, atrelado as Atividades desenvolvidas com o uso do Calendário e com o Jogo de Dominó com as Quatro Operações, contribuiu para que os alunos fossem conduzidos gradativamente a construírem e resgatarem conceitos matemáticos inerentes às Operações Matemáticas. Na busca pela equilibração das estruturas cognitivas, o trabalho em grupo, que não era foco de nossa pesquisa, mostrou ser um fator importante no desenvolvimento de aspectos cognitivos dos alunos. A pesquisa também proporcionou reflexão da professora da turma sobre a utilização do Cálculo Mental e de atividades lúdicas em sala de aula, principalmente no ensino de conceitos inerentes às Operações Matemáticas, fazendo-a perceber melhoria de aprendizagem dos alunos.Made available in DSpace on 2015-09-25T12:18:15Z (GMT). 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dc.title.por.fl_str_mv Sobre as operações matemáticas e o cálculo mental
dc.title.alternative.eng.fl_str_mv About mental arithmetic and mathematical operations
title Sobre as operações matemáticas e o cálculo mental
spellingShingle Sobre as operações matemáticas e o cálculo mental
Ananias, Eliane Farias
Jogos educativos
Cálculo mental
Ensino de Matemática
Operações matemáticas
Educational games
mental calculation
Teaching of Mathematics
mathematical operations
CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
title_short Sobre as operações matemáticas e o cálculo mental
title_full Sobre as operações matemáticas e o cálculo mental
title_fullStr Sobre as operações matemáticas e o cálculo mental
title_full_unstemmed Sobre as operações matemáticas e o cálculo mental
title_sort Sobre as operações matemáticas e o cálculo mental
author Ananias, Eliane Farias
author_facet Ananias, Eliane Farias
author_role author
dc.contributor.advisor1.fl_str_mv Lins, Abigail Fregni
dc.contributor.advisor1ID.fl_str_mv CPF:11478816856
dc.contributor.advisor1Lattes.fl_str_mv LINS, Abigail Fregni
dc.contributor.referee1.fl_str_mv Rêgo, Rogéria Gaudencio do
dc.contributor.referee1ID.fl_str_mv CPF:30911613404
dc.contributor.referee1Lattes.fl_str_mv http://lattes.cnpq.br/3882610066313180
dc.contributor.referee2.fl_str_mv Moita, Filomena Maria Gonçalves da Silva Cordeiro
dc.contributor.referee2ID.fl_str_mv CPF:83996303491
dc.contributor.referee2Lattes.fl_str_mv http://lattes.cnpq.br/6428823615325023
dc.contributor.authorID.fl_str_mv CPF:02852467470
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/1964534573261361
dc.contributor.author.fl_str_mv Ananias, Eliane Farias
contributor_str_mv Lins, Abigail Fregni
Rêgo, Rogéria Gaudencio do
Moita, Filomena Maria Gonçalves da Silva Cordeiro
dc.subject.por.fl_str_mv Jogos educativos
Cálculo mental
Ensino de Matemática
Operações matemáticas
topic Jogos educativos
Cálculo mental
Ensino de Matemática
Operações matemáticas
Educational games
mental calculation
Teaching of Mathematics
mathematical operations
CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
dc.subject.eng.fl_str_mv Educational games
mental calculation
Teaching of Mathematics
mathematical operations
dc.subject.cnpq.fl_str_mv CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
description By carrying out a research work on the use of games in mathematical education under Piaget´s constructivist perspective, we realized that was from the XX Century which more relevant contributions appeared under teaching proposes that incorporated the use of pedagogical materials. The research work and studies of Piaget, Grando, Brenelli, Bittar and Freitas, Mendonça and Lellis, Piaget and Chomsky, Costa, Parra, Alves and Ramos based the research work in question. From this reality, the research aimed to investigate, to intervene and to analyze cognitive aspects on the construction and recall of mathematical concepts (addition, subtraction, multiplication and division) and the ability of mental calculus in the teaching and learning of Mathematics by using the Calendar and the Dominó game having the four operations as resources. The research work carried out is presented as a case study done in a public primary school in the city of Campina Grande Paraiba, with twenty five students between ten to eleven years old. The data collection was done in five moments by the classroom being the research environment. The data was analyzed by taking into account three categories which emerged from the five moments. Triangulation was the technique used in our analyses. As findings, the research work has initially shown that the students were not conscious that they were able to do mental calculus. The classroom environment itself showed to be good for knowledge construction, as the students showed interest and good during all the moments of the research. In this context, the Mental Calculus, within the developed activities with the use of the Calendar and the Dominó Game for the four operations, contributed for the students to be conducted gradually for constructed and recalled mathematical concepts within the Mathematical Operations. For seeking cognitive structures equilibration, the group work, which was not the focus of our research work, has shown to be important factor in the development of the students cognitive aspects. The research work also provoke the students teacher reflection on the use of Mental Calculus and of ludic activities in the classroom, mainly in the teaching concepts on Mathematical Operations, making her to realize improvement on the students learning process.
publishDate 2010
dc.date.issued.fl_str_mv 2010-12-13
dc.date.available.fl_str_mv 2012-07-11
dc.date.accessioned.fl_str_mv 2015-09-25T12:18:15Z
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dc.identifier.citation.fl_str_mv ANANIAS, Eliane Farias. About mental arithmetic and mathematical operations. 2010. 191 f. Dissertação (Mestrado em Ensino de Física) - Universidade Estadual da Paraíba, Campina Grande, 2010.
dc.identifier.uri.fl_str_mv http://tede.bc.uepb.edu.br/tede/jspui/handle/tede/1657
identifier_str_mv ANANIAS, Eliane Farias. About mental arithmetic and mathematical operations. 2010. 191 f. Dissertação (Mestrado em Ensino de Física) - Universidade Estadual da Paraíba, Campina Grande, 2010.
url http://tede.bc.uepb.edu.br/tede/jspui/handle/tede/1657
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