Elementos de análise combinatória no ensino fundamental : uma abordagem com mágicas e resolução de problemas
Autor(a) principal: | |
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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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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 |
format |
masterThesis |
status_str |
publishedVersion |
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 |
dc.language.iso.fl_str_mv |
por |
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600 600 |
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info:eu-repo/semantics/openAccess |
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openAccess |
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 |
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Universidade Federal de São Carlos Câmpus São Carlos |
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