As operações aritméticas fundamentais na perspectiva da exploração, resolução e proposição de problemas
Ano de defesa: | 2021 |
---|---|
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: |
Programa de Pós-Graduação em Ensino de Ciências e Educação Matemática - PPGECEM
|
Departamento: |
Pró-Reitoria de Pós-Graduação e Pesquisa - PRPGP
|
País: |
Brasil
|
Palavras-chave em Português: | |
Área do conhecimento CNPq: | |
Link de acesso: | http://tede.bc.uepb.edu.br/jspui/handle/tede/3936 |
Resumo: | The current research aims at the promotion of a reflexive learning on Fundamental Arithmetic Operations through Problem Exploration-Solving-Posing (PESP). This work carries out a qualitative research on pedagogical model, in which due to the pandemic of the New Coronavirus (COVID – 19) had its course remotely through the application Google Meet. The subjects involved are students of the 6th grade of the Brazilian Elementary School of a public school in the city of Baía Formosa-RN, Brazil. The research carries out records of 12 meetings on the intent to discuss the ideas/concepts/meaning of Fundamental Arithmetic Operations through Problem Exploration-Solving-Posing. The data gathering was carried out by a group of problems mediated through meetings and based on notes taken by the author on the development of classes. On the analysis of these meetings, it highlights students have difficulties understanding problems and presenting the mistakes on the algorithm of the operations. However, there are some presented solving approaching different perspectives on the problem solving. The research points out students were considered problems posers, while others shared the task was difficult since they were used to only rely on “the math they were used to”. Furthermore, it highlights the basic four operations as the most difficult process. However, throughout the meetings a change is realized on their perspectives towards the experience, in which focused on autonomy, the process of discussing the solving for the new posed problems, as well as new problems were appearing. It was able, on this context, to present new ideas for specific fundamental operations. Moreover, the participation raised and, with the author mediation, students could understand better the concepts/ideas/meanings of arithmetic operations, without presenting on the beginning the concepts, but problems that concern these ideas. Furthermore, it concludes, then, although is not an easy task, it is possible to work with the Problem Exploration-Solving-Posing methodology, contributing to a reflexive learning of concepts/ideas/meanings of Fundamental Arithmetic Operations. Besides, it is posed new directions on this perspective, such as the wok with other numerical sets, the rational numbers. |
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Andrade, Silvanio de43807631534http://lattes.cnpq.br/8695612846450802Andrade, Silvanio de43807631534http://lattes.cnpq.br/8695612846450802Freitas, Tiêgo dos Santos08765488423http://lattes.cnpq.br/5172901212568467Fernandes, Maria Betânia Sabino48251755468http://lattes.cnpq.br/415471905550549808405974440http://lattes.cnpq.br/6568884912790263Araujo, Jessica Almeida2021-12-14T13:38:31Z2021-09-29ARAUJO, Jessica Almeida. As operações aritméticas fundamentais na perspectiva da exploração, resolução e proposição de problemas. 2021. 159 f. Dissertação (Programa de Pós-Graduação em Ensino de Ciências e Educação Matemática - PPGECEM) - Universidade Estadual da Paraíba, Campina Grande, 2021.http://tede.bc.uepb.edu.br/jspui/handle/tede/3936The current research aims at the promotion of a reflexive learning on Fundamental Arithmetic Operations through Problem Exploration-Solving-Posing (PESP). This work carries out a qualitative research on pedagogical model, in which due to the pandemic of the New Coronavirus (COVID – 19) had its course remotely through the application Google Meet. The subjects involved are students of the 6th grade of the Brazilian Elementary School of a public school in the city of Baía Formosa-RN, Brazil. The research carries out records of 12 meetings on the intent to discuss the ideas/concepts/meaning of Fundamental Arithmetic Operations through Problem Exploration-Solving-Posing. The data gathering was carried out by a group of problems mediated through meetings and based on notes taken by the author on the development of classes. On the analysis of these meetings, it highlights students have difficulties understanding problems and presenting the mistakes on the algorithm of the operations. However, there are some presented solving approaching different perspectives on the problem solving. The research points out students were considered problems posers, while others shared the task was difficult since they were used to only rely on “the math they were used to”. Furthermore, it highlights the basic four operations as the most difficult process. However, throughout the meetings a change is realized on their perspectives towards the experience, in which focused on autonomy, the process of discussing the solving for the new posed problems, as well as new problems were appearing. It was able, on this context, to present new ideas for specific fundamental operations. Moreover, the participation raised and, with the author mediation, students could understand better the concepts/ideas/meanings of arithmetic operations, without presenting on the beginning the concepts, but problems that concern these ideas. Furthermore, it concludes, then, although is not an easy task, it is possible to work with the Problem Exploration-Solving-Posing methodology, contributing to a reflexive learning of concepts/ideas/meanings of Fundamental Arithmetic Operations. Besides, it is posed new directions on this perspective, such as the wok with other numerical sets, the rational numbers.A presente pesquisa visa promover uma aprendizagem reflexiva acerca das Operações Aritméticas Fundamentais via Exploração, Resolução e Proposição de Problemas (ERPP). Caracteriza-se como uma pesquisa qualitativa na modalidade pedagógica e que devido à pandemia do Novo Coronavírus (COVID - 19), teve sua execução de forma remota, por meio do aplicativo Google Meet. Os sujeitos envolvidos são alunos do 6º ano do Ensino Fundamental de uma Escola pública da cidade de Baía Formosa-RN, com os quais realizamos um total de doze encontros, no intuito de trabalhar as ideias/conceitos/significados das Operações Aritméticas Fundamentais via Exploração, Resolução e Proposição de Problemas. O levantamento de dados se deu a partir de conjuntos de problemas, que foram mediados durante os encontros e anotações feitas ao logo do desenvolvimento das aulas. Nas análises desses encontros, evidenciamos que os alunos possuíam dificuldades em interpretar os problemas e apresentaram erros no algoritmo das operações, porém, alguns apresentaram outros possíveis caminhos para se obter a resolução do problema. Destacamos que, quando os alunos foram postos como propositores de problemas, alguns consideraram uma tarefa trabalhosa, já que estavam acostumados a resolverem “contas” e ficaram evidentes as dificuldades acentuadas nas quatro operações, mas ao longo dos encontros, percebemos que houve uma mudança na postura dos alunos, eles passaram a ter mais autonomia, a refletir acerca das suas resoluções para os problemas propostos, e novos problemas foram surgindo, o que nos possibilitou apresentar novas ideias para determinadas operações fundamentais, percebemos ainda, que a participação aumentou e que, com nossa mediação, os alunos puderam construir os conceitos/ideias/significados das operações aritméticas, sem fornecer de forma inicial os conceitos, mas sim problemas que trabalhavam essas ideias. Desse modo, concluímos que, apesar de não ser uma tarefa fácil, é possível trabalhar com a metodologia de Exploração, Resolução e Proposição de problemas, contribuindo para uma aprendizagem reflexiva de conceitos/ideias/significados das Operações Aritméticas Fundamentais. Além disso, propomos novos direcionamentos, que é o trabalho com outros conjuntos numéricos, em especial, o conjunto dos números racionais.Submitted by Concluinte Mestrado (concluinte.mestrado@setor.uepb.edu.br) on 2021-12-08T17:02:57Z No. of bitstreams: 2 PDF - Jessica Almeida Araujo.pdf: 2739914 bytes, checksum: 701fc5fc0cc2f77828d04194a7e4d4d3 (MD5) Termos BDTD - Jessica Almeida Araujo.pdf: 141399 bytes, checksum: bb4109911ac365ca82fdb5ccd6d0632f (MD5)Approved for entry into archive by Rosalvo Andrade (rosalvo_andrade@servidor.uepb.edu.br) on 2021-12-09T23:09:01Z (GMT) No. of bitstreams: 2 PDF - Jessica Almeida Araujo.pdf: 2739914 bytes, checksum: 701fc5fc0cc2f77828d04194a7e4d4d3 (MD5) Termos BDTD - Jessica Almeida Araujo.pdf: 141399 bytes, checksum: bb4109911ac365ca82fdb5ccd6d0632f (MD5)Made available in DSpace on 2021-12-14T13:38:31Z (GMT). No. of bitstreams: 2 PDF - Jessica Almeida Araujo.pdf: 2739914 bytes, checksum: 701fc5fc0cc2f77828d04194a7e4d4d3 (MD5) Termos BDTD - Jessica Almeida Araujo.pdf: 141399 bytes, checksum: bb4109911ac365ca82fdb5ccd6d0632f (MD5) Previous issue date: 2021-09-29application/pdfporUniversidade Estadual da ParaíbaPrograma de Pós-Graduação em Ensino de Ciências e Educação Matemática - PPGECEMUEPBBrasilPró-Reitoria de Pós-Graduação e Pesquisa - PRPGPAritméticaEnsino de MatemáticaResolução de problemas matemáticosEnsino FundamentalEDUCACAO::ENSINO-APRENDIZAGEMAs operações aritméticas fundamentais na perspectiva da exploração, resolução e proposição de problemasinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis1724524240285131466600600600524871450381110278-4452917836576020174info:eu-repo/semantics/openAccessreponame:Biblioteca Digital de Teses e Dissertações da UEPBinstname:Universidade Estadual da Paraíba (UEPB)instacron:UEPBORIGINALPDF - Jessica Almeida Araujo.pdfPDF - Jessica Almeida Araujo.pdfapplication/pdf2739914http://tede.bc.uepb.edu.br/jspui/bitstream/tede/3936/2/PDF+-+Jessica+Almeida+Araujo.pdf701fc5fc0cc2f77828d04194a7e4d4d3MD52Termos BDTD - Jessica Almeida Araujo.pdfTermos BDTD - Jessica Almeida Araujo.pdfapplication/pdf141399http://tede.bc.uepb.edu.br/jspui/bitstream/tede/3936/3/Termos+BDTD+-+Jessica+Almeida+Araujo.pdfbb4109911ac365ca82fdb5ccd6d0632fMD53LICENSElicense.txtlicense.txttext/plain; charset=utf-81960http://tede.bc.uepb.edu.br/jspui/bitstream/tede/3936/1/license.txt6052ae61e77222b2086e666b7ae213ceMD51tede/39362021-12-14 10:38:31.973oai:tede.bc.uepb.edu.br: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Biblioteca Digital de Teses e Dissertaçõeshttp://tede.bc.uepb.edu.br/jspui/PUBhttp://tede.bc.uepb.edu.br/oai/requestbc@uepb.edu.br||opendoar:2021-12-14T13:38:31Biblioteca Digital de Teses e Dissertações da UEPB - Universidade Estadual da Paraíba (UEPB)false |
dc.title.por.fl_str_mv |
As operações aritméticas fundamentais na perspectiva da exploração, resolução e proposição de problemas |
title |
As operações aritméticas fundamentais na perspectiva da exploração, resolução e proposição de problemas |
spellingShingle |
As operações aritméticas fundamentais na perspectiva da exploração, resolução e proposição de problemas Araujo, Jessica Almeida Aritmética Ensino de Matemática Resolução de problemas matemáticos Ensino Fundamental EDUCACAO::ENSINO-APRENDIZAGEM |
title_short |
As operações aritméticas fundamentais na perspectiva da exploração, resolução e proposição de problemas |
title_full |
As operações aritméticas fundamentais na perspectiva da exploração, resolução e proposição de problemas |
title_fullStr |
As operações aritméticas fundamentais na perspectiva da exploração, resolução e proposição de problemas |
title_full_unstemmed |
As operações aritméticas fundamentais na perspectiva da exploração, resolução e proposição de problemas |
title_sort |
As operações aritméticas fundamentais na perspectiva da exploração, resolução e proposição de problemas |
author |
Araujo, Jessica Almeida |
author_facet |
Araujo, Jessica Almeida |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Andrade, Silvanio de |
dc.contributor.advisor1ID.fl_str_mv |
43807631534 |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/8695612846450802 |
dc.contributor.referee1.fl_str_mv |
Andrade, Silvanio de |
dc.contributor.referee1ID.fl_str_mv |
43807631534 |
dc.contributor.referee1Lattes.fl_str_mv |
http://lattes.cnpq.br/8695612846450802 |
dc.contributor.referee2.fl_str_mv |
Freitas, Tiêgo dos Santos |
dc.contributor.referee2ID.fl_str_mv |
08765488423 |
dc.contributor.referee2Lattes.fl_str_mv |
http://lattes.cnpq.br/5172901212568467 |
dc.contributor.referee3.fl_str_mv |
Fernandes, Maria Betânia Sabino |
dc.contributor.referee3ID.fl_str_mv |
48251755468 |
dc.contributor.referee3Lattes.fl_str_mv |
http://lattes.cnpq.br/4154719055505498 |
dc.contributor.authorID.fl_str_mv |
08405974440 |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/6568884912790263 |
dc.contributor.author.fl_str_mv |
Araujo, Jessica Almeida |
contributor_str_mv |
Andrade, Silvanio de Andrade, Silvanio de Freitas, Tiêgo dos Santos Fernandes, Maria Betânia Sabino |
dc.subject.por.fl_str_mv |
Aritmética Ensino de Matemática Resolução de problemas matemáticos Ensino Fundamental |
topic |
Aritmética Ensino de Matemática Resolução de problemas matemáticos Ensino Fundamental EDUCACAO::ENSINO-APRENDIZAGEM |
dc.subject.cnpq.fl_str_mv |
EDUCACAO::ENSINO-APRENDIZAGEM |
description |
The current research aims at the promotion of a reflexive learning on Fundamental Arithmetic Operations through Problem Exploration-Solving-Posing (PESP). This work carries out a qualitative research on pedagogical model, in which due to the pandemic of the New Coronavirus (COVID – 19) had its course remotely through the application Google Meet. The subjects involved are students of the 6th grade of the Brazilian Elementary School of a public school in the city of Baía Formosa-RN, Brazil. The research carries out records of 12 meetings on the intent to discuss the ideas/concepts/meaning of Fundamental Arithmetic Operations through Problem Exploration-Solving-Posing. The data gathering was carried out by a group of problems mediated through meetings and based on notes taken by the author on the development of classes. On the analysis of these meetings, it highlights students have difficulties understanding problems and presenting the mistakes on the algorithm of the operations. However, there are some presented solving approaching different perspectives on the problem solving. The research points out students were considered problems posers, while others shared the task was difficult since they were used to only rely on “the math they were used to”. Furthermore, it highlights the basic four operations as the most difficult process. However, throughout the meetings a change is realized on their perspectives towards the experience, in which focused on autonomy, the process of discussing the solving for the new posed problems, as well as new problems were appearing. It was able, on this context, to present new ideas for specific fundamental operations. Moreover, the participation raised and, with the author mediation, students could understand better the concepts/ideas/meanings of arithmetic operations, without presenting on the beginning the concepts, but problems that concern these ideas. Furthermore, it concludes, then, although is not an easy task, it is possible to work with the Problem Exploration-Solving-Posing methodology, contributing to a reflexive learning of concepts/ideas/meanings of Fundamental Arithmetic Operations. Besides, it is posed new directions on this perspective, such as the wok with other numerical sets, the rational numbers. |
publishDate |
2021 |
dc.date.accessioned.fl_str_mv |
2021-12-14T13:38:31Z |
dc.date.issued.fl_str_mv |
2021-09-29 |
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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masterThesis |
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publishedVersion |
dc.identifier.citation.fl_str_mv |
ARAUJO, Jessica Almeida. As operações aritméticas fundamentais na perspectiva da exploração, resolução e proposição de problemas. 2021. 159 f. Dissertação (Programa de Pós-Graduação em Ensino de Ciências e Educação Matemática - PPGECEM) - Universidade Estadual da Paraíba, Campina Grande, 2021. |
dc.identifier.uri.fl_str_mv |
http://tede.bc.uepb.edu.br/jspui/handle/tede/3936 |
identifier_str_mv |
ARAUJO, Jessica Almeida. As operações aritméticas fundamentais na perspectiva da exploração, resolução e proposição de problemas. 2021. 159 f. Dissertação (Programa de Pós-Graduação em Ensino de Ciências e Educação Matemática - PPGECEM) - Universidade Estadual da Paraíba, Campina Grande, 2021. |
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http://tede.bc.uepb.edu.br/jspui/handle/tede/3936 |
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Universidade Estadual da Paraíba |
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