Sobre as operações matemáticas e o cálculo mental
Ano de defesa: | 2010 |
---|---|
Autor(a) principal: | |
Orientador(a): | |
Banca de defesa: | , |
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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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). No. of bitstreams: 1 Eliane Farias Ananias parte 1.pdf: 1950426 bytes, checksum: 53549b60d20134559e389bf0a27eddb3 (MD5) Previous issue date: 2010-12-13application/pdfhttp://tede.bc.uepb.edu.br/jspui/retrieve/3659/Eliane%20Farias%20Ananias%20parte%201.pdf.jpgporUniversidade Estadual da ParaíbaMestrado Profissional em Ensino de Ciências e MatemáticaUEPBBREnsino de FísicaJogos educativosCálculo mentalEnsino de MatemáticaOperações matemáticasEducational gamesmental calculationTeaching of Mathematicsmathematical operationsCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICASobre as operações matemáticas e o cálculo mentalAbout mental arithmetic and mathematical operationsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/openAccessreponame:Biblioteca Digital de Teses e Dissertações da UEPBinstname:Universidade Estadual da Paraíba (UEPB)instacron:UEPBORIGINALEliane Farias Ananias parte 1.pdfapplication/pdf1950426http://tede.bc.uepb.edu.br/jspui/bitstream/tede/1657/1/Eliane+Farias+Ananias+parte+1.pdf53549b60d20134559e389bf0a27eddb3MD51THUMBNAILEliane Farias Ananias parte 1.pdf.jpgEliane Farias Ananias parte 1.pdf.jpgimage/jpeg3297http://tede.bc.uepb.edu.br/jspui/bitstream/tede/1657/2/Eliane+Farias+Ananias+parte+1.pdf.jpga29bef1cb184a00334cbbbea957063d1MD52tede/16572016-01-27 09:57:09.712oai:tede.bc.uepb.edu.br:tede/1657Biblioteca Digital de Teses e Dissertaçõeshttp://tede.bc.uepb.edu.br/jspui/PUBhttp://tede.bc.uepb.edu.br/oai/requestbc@uepb.edu.br||opendoar:2016-01-27T12:57:09Biblioteca Digital de Teses e Dissertações da UEPB - Universidade Estadual da Paraíba (UEPB)false |
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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info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/masterThesis |
format |
masterThesis |
status_str |
publishedVersion |
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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openAccess |
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Universidade Estadual da Paraíba |
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Mestrado Profissional em Ensino de Ciências e Matemática |
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UEPB |
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Ensino de Física |
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Universidade Estadual da Paraíba |
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