Elementos de análise combinatória no ensino fundamental : uma abordagem com mágicas e resolução de problemas

Detalhes bibliográficos
Autor(a) principal: Bassan, Débora Regina
Data de Publicação: 2016
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFSCAR
Texto Completo: https://repositorio.ufscar.br/handle/ufscar/8086
Resumo: This work AIMS to Develop the content of combinatorial analysis in the class of 6th and 7th grade of elementary school II in a school in the state of São Paulo. For this, there was the use of contextualized activities using leaves, activities and resources Involving magic, aiming to arouse curiosity and interest in learning Combinatorial through problem solving. The theme was chosen because of the difficulty of students in solving counting problems and is being explored little in basic education, although it appears in documents oficiais- National Curriculum Parameters and Curriculum of the State of São Paulo. We opted for the mathematical magic feature to make more meaningful and enjoyable learning Combinatorics, seeking the motivation of students to Actively Participate in class, joining the pleasure the act of learning. During the performance of activities, it was Noted que the students felt motivated, Relating the content of combinatorial analysis with a fun practice by magic. They Showed great enthusiasm in carrying out the activities, Especially in the days que had the magic. The didactic proposal with the use of leaf-activities Reached most of the students, who Were Involved and were very active During class, Resulting in collegues learning Combinatorial Analysis content. All activities Reached The proposed objectives, validating the Proposed teacher. After the completion of the activities, students felt more confident to expose Their reasoning, presenting solving strategies and explore the problem in search of a suitable solution.
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spelling Bassan, Débora ReginaMalagutti, Pedro Luiz Aparecidohttp://lattes.cnpq.br/5462523657624050http://lattes.cnpq.br/3804903987729140125d089b-538a-4678-8cd9-5288d2fd26172016-10-20T19:54:47Z2016-10-20T19:54:47Z2016-06-23BASSAN, Débora Regina. Elementos de análise combinatória no ensino fundamental : uma abordagem com mágicas e resolução de problemas. 2016. Dissertação (Mestrado em Ensino de Ciências Exatas) – Universidade Federal de São Carlos, São Carlos, 2016. Disponível em: https://repositorio.ufscar.br/handle/ufscar/8086.https://repositorio.ufscar.br/handle/ufscar/8086This work AIMS to Develop the content of combinatorial analysis in the class of 6th and 7th grade of elementary school II in a school in the state of São Paulo. For this, there was the use of contextualized activities using leaves, activities and resources Involving magic, aiming to arouse curiosity and interest in learning Combinatorial through problem solving. The theme was chosen because of the difficulty of students in solving counting problems and is being explored little in basic education, although it appears in documents oficiais- National Curriculum Parameters and Curriculum of the State of São Paulo. We opted for the mathematical magic feature to make more meaningful and enjoyable learning Combinatorics, seeking the motivation of students to Actively Participate in class, joining the pleasure the act of learning. During the performance of activities, it was Noted que the students felt motivated, Relating the content of combinatorial analysis with a fun practice by magic. They Showed great enthusiasm in carrying out the activities, Especially in the days que had the magic. The didactic proposal with the use of leaf-activities Reached most of the students, who Were Involved and were very active During class, Resulting in collegues learning Combinatorial Analysis content. All activities Reached The proposed objectives, validating the Proposed teacher. After the completion of the activities, students felt more confident to expose Their reasoning, presenting solving strategies and explore the problem in search of a suitable solution.Esse trabalho tem por objetivo desenvolver o conteúdo de Análise Combinatória em uma turma do 6o e do 7o ano do Ensino Fundamental II, em uma escola do interior do Estado de São Paulo. Para isso, fez-se o uso de atividades contextualizadas utilizando folhas-atividades e recursos envolvendo mágicas, visando despertar a curiosidade e o interesse em aprender Combinatória por meio de resolução de problemas. O tema foi escolhido devido à dificuldade dos alunos em resolver problemas de contagem e por ser pouco explorado no Ensino Básico, apesar de constar nos documentos oficiais- Parâmetros Curriculares Nacionais e Currículo do Estado de São Paulo. Optou-se pelo recurso das mágicas matemáticas para tornar mais significativa e prazerosa a aprendizagem de Combinatória, buscando-se a motivação dos alunos a participar ativamente das aulas, unindo o prazer ao ato de aprender. Durante a realização das atividades, notou-se que os alunos se sentiram motivados, relacionando o conteúdo de Análise Combinatória com uma prática divertida através da mágica. Eles demonstraram bastante entusiasmo na realização das atividades, principalmente nos dias que tinha a mágica. A proposta didática com o uso das folhas-atividades alcançou a maioria dos alunos, que se empenharam e foram bastante ativos durante as aulas, resultando na aprendizagem de fato do conteúdo de Análise Combinatória. Todas as atividades atingiram os objetivos propostos, validando as propostas do professor. Após a realização das atividades, os alunos se sentiram mais confiantes para expor seu raciocínio, apresentar estratégias de resolução e explorar o problema em busca de uma solução adequada.Não recebi financiamentoporUniversidade Federal de São CarlosCâmpus São CarlosPrograma de Pós-Graduação em Ensino de Ciências Exatas - PPGECEUFSCarMágica matemáticaEnsino de combinatóriaProblemas de contagemCombinatorial teachingMath magicCounting problemsCIENCIAS EXATAS E DA TERRAElementos de análise combinatória no ensino fundamental : uma abordagem com mágicas e resolução de problemasinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisOnline6006002b54b4fa-9196-4318-8689-9b21d7c7d8bfinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFSCARinstname:Universidade Federal de São Carlos (UFSCAR)instacron:UFSCARORIGINALDissDRB.pdfDissDRB.pdfapplication/pdf4725235https://repositorio.ufscar.br/bitstream/ufscar/8086/1/DissDRB.pdf58c4238ba8671000419655dab60c75f8MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81957https://repositorio.ufscar.br/bitstream/ufscar/8086/2/license.txtae0398b6f8b235e40ad82cba6c50031dMD52TEXTDissDRB.pdf.txtDissDRB.pdf.txtExtracted texttext/plain120491https://repositorio.ufscar.br/bitstream/ufscar/8086/3/DissDRB.pdf.txt4d85c07eb417c7d9b76e84b74b454d56MD53THUMBNAILDissDRB.pdf.jpgDissDRB.pdf.jpgIM Thumbnailimage/jpeg6180https://repositorio.ufscar.br/bitstream/ufscar/8086/4/DissDRB.pdf.jpg843ebc28f27b74981e630b7925d69e4dMD54ufscar/80862023-09-18 18:31:01.555oai:repositorio.ufscar.br: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Repositório InstitucionalPUBhttps://repositorio.ufscar.br/oai/requestopendoar:43222023-09-18T18:31:01Repositório Institucional da UFSCAR - Universidade Federal de São Carlos (UFSCAR)false
dc.title.por.fl_str_mv Elementos de análise combinatória no ensino fundamental : uma abordagem com mágicas e resolução de problemas
title Elementos de análise combinatória no ensino fundamental : uma abordagem com mágicas e resolução de problemas
spellingShingle Elementos de análise combinatória no ensino fundamental : uma abordagem com mágicas e resolução de problemas
Bassan, Débora Regina
Mágica matemática
Ensino de combinatória
Problemas de contagem
Combinatorial teaching
Math magic
Counting problems
CIENCIAS EXATAS E DA TERRA
title_short Elementos de análise combinatória no ensino fundamental : uma abordagem com mágicas e resolução de problemas
title_full Elementos de análise combinatória no ensino fundamental : uma abordagem com mágicas e resolução de problemas
title_fullStr Elementos de análise combinatória no ensino fundamental : uma abordagem com mágicas e resolução de problemas
title_full_unstemmed Elementos de análise combinatória no ensino fundamental : uma abordagem com mágicas e resolução de problemas
title_sort Elementos de análise combinatória no ensino fundamental : uma abordagem com mágicas e resolução de problemas
author Bassan, Débora Regina
author_facet Bassan, Débora Regina
author_role author
dc.contributor.authorlattes.por.fl_str_mv http://lattes.cnpq.br/3804903987729140
dc.contributor.author.fl_str_mv Bassan, Débora Regina
dc.contributor.advisor1.fl_str_mv Malagutti, Pedro Luiz Aparecido
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/5462523657624050
dc.contributor.authorID.fl_str_mv 125d089b-538a-4678-8cd9-5288d2fd2617
contributor_str_mv Malagutti, Pedro Luiz Aparecido
dc.subject.por.fl_str_mv Mágica matemática
Ensino de combinatória
Problemas de contagem
topic Mágica matemática
Ensino de combinatória
Problemas de contagem
Combinatorial teaching
Math magic
Counting problems
CIENCIAS EXATAS E DA TERRA
dc.subject.eng.fl_str_mv Combinatorial teaching
Math magic
Counting problems
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA
description This work AIMS to Develop the content of combinatorial analysis in the class of 6th and 7th grade of elementary school II in a school in the state of São Paulo. For this, there was the use of contextualized activities using leaves, activities and resources Involving magic, aiming to arouse curiosity and interest in learning Combinatorial through problem solving. The theme was chosen because of the difficulty of students in solving counting problems and is being explored little in basic education, although it appears in documents oficiais- National Curriculum Parameters and Curriculum of the State of São Paulo. We opted for the mathematical magic feature to make more meaningful and enjoyable learning Combinatorics, seeking the motivation of students to Actively Participate in class, joining the pleasure the act of learning. During the performance of activities, it was Noted que the students felt motivated, Relating the content of combinatorial analysis with a fun practice by magic. They Showed great enthusiasm in carrying out the activities, Especially in the days que had the magic. The didactic proposal with the use of leaf-activities Reached most of the students, who Were Involved and were very active During class, Resulting in collegues learning Combinatorial Analysis content. All activities Reached The proposed objectives, validating the Proposed teacher. After the completion of the activities, students felt more confident to expose Their reasoning, presenting solving strategies and explore the problem in search of a suitable solution.
publishDate 2016
dc.date.accessioned.fl_str_mv 2016-10-20T19:54:47Z
dc.date.available.fl_str_mv 2016-10-20T19:54:47Z
dc.date.issued.fl_str_mv 2016-06-23
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
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dc.identifier.citation.fl_str_mv BASSAN, Débora Regina. Elementos de análise combinatória no ensino fundamental : uma abordagem com mágicas e resolução de problemas. 2016. Dissertação (Mestrado em Ensino de Ciências Exatas) – Universidade Federal de São Carlos, São Carlos, 2016. Disponível em: https://repositorio.ufscar.br/handle/ufscar/8086.
dc.identifier.uri.fl_str_mv https://repositorio.ufscar.br/handle/ufscar/8086
identifier_str_mv BASSAN, Débora Regina. Elementos de análise combinatória no ensino fundamental : uma abordagem com mágicas e resolução de problemas. 2016. Dissertação (Mestrado em Ensino de Ciências Exatas) – Universidade Federal de São Carlos, São Carlos, 2016. Disponível em: https://repositorio.ufscar.br/handle/ufscar/8086.
url https://repositorio.ufscar.br/handle/ufscar/8086
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dc.relation.confidence.fl_str_mv 600
600
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv Universidade Federal de São Carlos
Câmpus São Carlos
dc.publisher.program.fl_str_mv Programa de Pós-Graduação em Ensino de Ciências Exatas - PPGECE
dc.publisher.initials.fl_str_mv UFSCar
publisher.none.fl_str_mv Universidade Federal de São Carlos
Câmpus São Carlos
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