O favorecimento da vivência da metacognição a partir da resolução de problemas aritméticos por alunos dos anos finais do ensino fundamental

Detalhes bibliográficos
Autor(a) principal: Santos, Andreia Freire dos
Data de Publicação: 2020
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFS
Texto Completo: http://ri.ufs.br/jspui/handle/riufs/13511
Resumo: Aiming at an education focused on the formation of creative, independent and active individuals in their daily lives, we propose in this research to promote among students of the final years of Elementary School the self-analysis of their own learning processes (metacognition), leading them to act with awareness and control about their cognitive actions and also investigate how students analyze their mistakes and how they try to learn from them. With this, we seek to answer the following central question: Do activities that solve mathematical problems favor students in the final years of elementary school to experience metacognition? In the research, the involvement of students, from the 6th to the 9th grade of a Municipal School in the city of Areia Branca/SE, was analyzed in the course of problem solving activities with basic arithmetic operations and with the use of metacognitive strategies. We theoretically rely on Polya, Onuchic and Allevato and Dante, among other authors, considering problem solving as the focus of the mathematics subject, as stated in the official curricular documents analyzed (BNCC, PCN and Curriculum of Sergipe). Flavell, Portilho and Rosa provided theoretical support for the concepts and elements present in metacognition and its approximation with the processes of solving arithmetic problems. In Van de Walle, Leal Jr. and Onuchic, we find metacognition applied to problem solving as a conscious action by the student about their resolution processes. This study was of a qualitative nature in the form of action research. Three activities were developed with the participation of students and in each one they were asked to solve three arithmetical problems, planned according to two (mobilizable and available) of the three levels of knowledge expected by Robert, the three are: technical, mobilizable and available. After each activity, the students answered a Metacognitive Questionnaire, adapted from Portilho, based on the Mayor model. Based on the answers to the questionnaire and the students' speeches, we sought to know the metacognitive strategies used by them in solving the proposed problems and sought to guide them in self-assessment during problem solving. The application of tasks organized through the levels of knowledge proposed by Robert helped us to identify the previous knowledge expected from students, which seems to have facilitated the use of strategies known to them, and also allowed their verbalization. Thus, it is concluded that activities with solving mathematical problems favor students to experience metacognition.
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spelling Santos, Andreia Freire dosSouza, Divanizia do Nascimento2020-07-04T03:13:52Z2020-07-04T03:13:52Z2020-02-28SANTOS, Andreia Freire dos. O favorecimento da vivência da metacognição a partir da resolução de problemas aritméticos por alunos dos anos finais do ensino fundamental. 2020. 99 f. Dissertação (Mestrado em Ensino de Ciências e Matemática) - Universidade Federal de Sergipe, São Cristóvão, SE, 2020.http://ri.ufs.br/jspui/handle/riufs/13511Aiming at an education focused on the formation of creative, independent and active individuals in their daily lives, we propose in this research to promote among students of the final years of Elementary School the self-analysis of their own learning processes (metacognition), leading them to act with awareness and control about their cognitive actions and also investigate how students analyze their mistakes and how they try to learn from them. With this, we seek to answer the following central question: Do activities that solve mathematical problems favor students in the final years of elementary school to experience metacognition? In the research, the involvement of students, from the 6th to the 9th grade of a Municipal School in the city of Areia Branca/SE, was analyzed in the course of problem solving activities with basic arithmetic operations and with the use of metacognitive strategies. We theoretically rely on Polya, Onuchic and Allevato and Dante, among other authors, considering problem solving as the focus of the mathematics subject, as stated in the official curricular documents analyzed (BNCC, PCN and Curriculum of Sergipe). Flavell, Portilho and Rosa provided theoretical support for the concepts and elements present in metacognition and its approximation with the processes of solving arithmetic problems. In Van de Walle, Leal Jr. and Onuchic, we find metacognition applied to problem solving as a conscious action by the student about their resolution processes. This study was of a qualitative nature in the form of action research. Three activities were developed with the participation of students and in each one they were asked to solve three arithmetical problems, planned according to two (mobilizable and available) of the three levels of knowledge expected by Robert, the three are: technical, mobilizable and available. After each activity, the students answered a Metacognitive Questionnaire, adapted from Portilho, based on the Mayor model. Based on the answers to the questionnaire and the students' speeches, we sought to know the metacognitive strategies used by them in solving the proposed problems and sought to guide them in self-assessment during problem solving. The application of tasks organized through the levels of knowledge proposed by Robert helped us to identify the previous knowledge expected from students, which seems to have facilitated the use of strategies known to them, and also allowed their verbalization. Thus, it is concluded that activities with solving mathematical problems favor students to experience metacognition.Visando uma educação voltada para a formação de indivíduos criativos, independentes e atuantes no seu cotidiano, propomos nesta pesquisa promover entre estudantes dos anos finais do Ensino Fundamental a autoanálise dos próprios processos de aprendizagem (metacognição), conduzindo-os a agirem com consciência e controle sobre suas ações cognitivas e investigar também como os alunos analisam seus erros e como tentam aprender a partir deles. Com isso, buscamos responder à seguinte questão central: Atividades com resolução de problemas matemáticos favorecem aos alunos dos anos finais do Ensino Fundamental vivenciar a metacognição? Na pesquisa, o envolvimento de estudantes de turmas do 6° ao 9° ano de uma Escola Municipal da cidade de Areia Branca/SE foi analisado no decorrer de atividades de resolução de problemas com operações aritméticas básicas e com o uso de estratégias metacognitivas. Apoiamo-nos teoricamente em Polya, Onuchic e Allevato e Dante, dentre outros autores, considerando a resolução de problemas como foco da disciplina de matemática, conforme consta nos documentos curriculares oficiais analisados (BNCC, PCN e Currículo de Sergipe). Flavell, Portilho e Rosa propiciaram suporte teórico aos conceitos e elementos presentes na metacognição e a aproximação dessa com os processos de resolução de problemas aritméticos. Em Van de Walle, Leal Jr. e Onuchic encontramos a metacognição aplicada à resolução de problemas como ação consciente do estudante acerca dos processos de resolução desses. Este estudo foi de natureza qualitativa na modalidade de pesquisa-ação. Foram desenvolvidas três atividades com a participação dos estudantes, e em cada uma foi solicitado a eles a resolução de três problemas aritméticos, planejados seguindo dois (mobilizável e disponível) dos três níveis de conhecimentos esperados propostos por Robert, sendo os três: técnico, mobilizável e disponível. Após cada atividade, os estudantes responderam a um Questionário Metacognitivo, adaptado de Portilho, com base no modelo de Mayor. A partir das respostas ao questionário e das falas dos alunos, buscou-se conhecer as estratégias metacognitivas empregadas por eles na resolução dos problemas propostos e orientá-los para a autoavaliação durante a resolução dos problemas. A aplicação de tarefas organizadas por meio dos níveis de conhecimento propostos por Robert nos auxiliou a identificar os conhecimentos prévios esperados dos estudantes, o que parece ter facilitado a utilização de estratégias conhecidas por eles e permitiu a verbalização delas. Com isso, conclui-se que as atividades com resolução de problemas matemáticos favorecem aos alunos a vivenciarem a metacognição.São Cristóvão, SEporEnsino de aritméticaEnsino fundamentalEstratégias de aprendizagemResolução de problemas aritméticosEstratégias metacognitivasNíveis de conhecimentosSolving arithmetic problemsMetacognitive strategiesLevels of knowledgeCIENCIAS HUMANAS::EDUCACAOO favorecimento da vivência da metacognição a partir da resolução de problemas aritméticos por alunos dos anos finais do ensino fundamentalinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisPós-Graduação em Ensino de Ciências e MatemáticaUniversidade Federal de Sergipereponame:Repositório Institucional da UFSinstname:Universidade Federal de Sergipe (UFS)instacron:UFSinfo:eu-repo/semantics/openAccessTEXTANDREIA_FREIRE_SANTOS.pdf.txtANDREIA_FREIRE_SANTOS.pdf.txtExtracted texttext/plain207886https://ri.ufs.br/jspui/bitstream/riufs/13511/3/ANDREIA_FREIRE_SANTOS.pdf.txt8d2162512bc6086ebe176cf2c087fbf6MD53THUMBNAILANDREIA_FREIRE_SANTOS.pdf.jpgANDREIA_FREIRE_SANTOS.pdf.jpgGenerated Thumbnailimage/jpeg1306https://ri.ufs.br/jspui/bitstream/riufs/13511/4/ANDREIA_FREIRE_SANTOS.pdf.jpg1fbd5b5c90401f54ef374b83a555a1e9MD54LICENSElicense.txtlicense.txttext/plain; charset=utf-81475https://ri.ufs.br/jspui/bitstream/riufs/13511/1/license.txt098cbbf65c2c15e1fb2e49c5d306a44cMD51ORIGINALANDREIA_FREIRE_SANTOS.pdfANDREIA_FREIRE_SANTOS.pdfapplication/pdf3293566https://ri.ufs.br/jspui/bitstream/riufs/13511/2/ANDREIA_FREIRE_SANTOS.pdfc7d12a7585b4541987ddda25eb37245fMD52riufs/135112020-07-04 00:13:53.234oai:ufs.br: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Repositório InstitucionalPUBhttps://ri.ufs.br/oai/requestrepositorio@academico.ufs.bropendoar:2020-07-04T03:13:53Repositório Institucional da UFS - Universidade Federal de Sergipe (UFS)false
dc.title.pt_BR.fl_str_mv O favorecimento da vivência da metacognição a partir da resolução de problemas aritméticos por alunos dos anos finais do ensino fundamental
title O favorecimento da vivência da metacognição a partir da resolução de problemas aritméticos por alunos dos anos finais do ensino fundamental
spellingShingle O favorecimento da vivência da metacognição a partir da resolução de problemas aritméticos por alunos dos anos finais do ensino fundamental
Santos, Andreia Freire dos
Ensino de aritmética
Ensino fundamental
Estratégias de aprendizagem
Resolução de problemas aritméticos
Estratégias metacognitivas
Níveis de conhecimentos
Solving arithmetic problems
Metacognitive strategies
Levels of knowledge
CIENCIAS HUMANAS::EDUCACAO
title_short O favorecimento da vivência da metacognição a partir da resolução de problemas aritméticos por alunos dos anos finais do ensino fundamental
title_full O favorecimento da vivência da metacognição a partir da resolução de problemas aritméticos por alunos dos anos finais do ensino fundamental
title_fullStr O favorecimento da vivência da metacognição a partir da resolução de problemas aritméticos por alunos dos anos finais do ensino fundamental
title_full_unstemmed O favorecimento da vivência da metacognição a partir da resolução de problemas aritméticos por alunos dos anos finais do ensino fundamental
title_sort O favorecimento da vivência da metacognição a partir da resolução de problemas aritméticos por alunos dos anos finais do ensino fundamental
author Santos, Andreia Freire dos
author_facet Santos, Andreia Freire dos
author_role author
dc.contributor.author.fl_str_mv Santos, Andreia Freire dos
dc.contributor.advisor1.fl_str_mv Souza, Divanizia do Nascimento
contributor_str_mv Souza, Divanizia do Nascimento
dc.subject.por.fl_str_mv Ensino de aritmética
Ensino fundamental
Estratégias de aprendizagem
Resolução de problemas aritméticos
Estratégias metacognitivas
Níveis de conhecimentos
topic Ensino de aritmética
Ensino fundamental
Estratégias de aprendizagem
Resolução de problemas aritméticos
Estratégias metacognitivas
Níveis de conhecimentos
Solving arithmetic problems
Metacognitive strategies
Levels of knowledge
CIENCIAS HUMANAS::EDUCACAO
dc.subject.eng.fl_str_mv Solving arithmetic problems
Metacognitive strategies
Levels of knowledge
dc.subject.cnpq.fl_str_mv CIENCIAS HUMANAS::EDUCACAO
description Aiming at an education focused on the formation of creative, independent and active individuals in their daily lives, we propose in this research to promote among students of the final years of Elementary School the self-analysis of their own learning processes (metacognition), leading them to act with awareness and control about their cognitive actions and also investigate how students analyze their mistakes and how they try to learn from them. With this, we seek to answer the following central question: Do activities that solve mathematical problems favor students in the final years of elementary school to experience metacognition? In the research, the involvement of students, from the 6th to the 9th grade of a Municipal School in the city of Areia Branca/SE, was analyzed in the course of problem solving activities with basic arithmetic operations and with the use of metacognitive strategies. We theoretically rely on Polya, Onuchic and Allevato and Dante, among other authors, considering problem solving as the focus of the mathematics subject, as stated in the official curricular documents analyzed (BNCC, PCN and Curriculum of Sergipe). Flavell, Portilho and Rosa provided theoretical support for the concepts and elements present in metacognition and its approximation with the processes of solving arithmetic problems. In Van de Walle, Leal Jr. and Onuchic, we find metacognition applied to problem solving as a conscious action by the student about their resolution processes. This study was of a qualitative nature in the form of action research. Three activities were developed with the participation of students and in each one they were asked to solve three arithmetical problems, planned according to two (mobilizable and available) of the three levels of knowledge expected by Robert, the three are: technical, mobilizable and available. After each activity, the students answered a Metacognitive Questionnaire, adapted from Portilho, based on the Mayor model. Based on the answers to the questionnaire and the students' speeches, we sought to know the metacognitive strategies used by them in solving the proposed problems and sought to guide them in self-assessment during problem solving. The application of tasks organized through the levels of knowledge proposed by Robert helped us to identify the previous knowledge expected from students, which seems to have facilitated the use of strategies known to them, and also allowed their verbalization. Thus, it is concluded that activities with solving mathematical problems favor students to experience metacognition.
publishDate 2020
dc.date.accessioned.fl_str_mv 2020-07-04T03:13:52Z
dc.date.available.fl_str_mv 2020-07-04T03:13:52Z
dc.date.issued.fl_str_mv 2020-02-28
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dc.identifier.citation.fl_str_mv SANTOS, Andreia Freire dos. O favorecimento da vivência da metacognição a partir da resolução de problemas aritméticos por alunos dos anos finais do ensino fundamental. 2020. 99 f. Dissertação (Mestrado em Ensino de Ciências e Matemática) - Universidade Federal de Sergipe, São Cristóvão, SE, 2020.
dc.identifier.uri.fl_str_mv http://ri.ufs.br/jspui/handle/riufs/13511
identifier_str_mv SANTOS, Andreia Freire dos. O favorecimento da vivência da metacognição a partir da resolução de problemas aritméticos por alunos dos anos finais do ensino fundamental. 2020. 99 f. Dissertação (Mestrado em Ensino de Ciências e Matemática) - Universidade Federal de Sergipe, São Cristóvão, SE, 2020.
url http://ri.ufs.br/jspui/handle/riufs/13511
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