Campo Conceitual Multiplicativo: Aprendendo com os argumentos dos alunos
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Biblioteca Digital de Teses e Dissertações da UERJ |
Texto Completo: | http://www.bdtd.uerj.br/handle/1/20432 |
Resumo: | The main objective of the present research was to analyze the knowledge belonging to the product of measures axis, of the multiplicative conceptual field, presented by eighth grade students in solving problem situations involving the multiplicative structure. In the research, we set out to answer the following question: "What concepts pertaining to the axis of products of measures were acquired by a certain group of eighth-grade students after the moment of isolation by the Covid - 19 pandemic?" For this, we conducted a study with 36 students, belonging to a state and comprehensive school, with proximity to the largest, and most dangerous, community of the city of Curitiba. The theoretical foundation of the research relied on the Theory of Conceptual Fields proposed by Vergnaud ( 1983, 1990, 1994, 1996, 1998, 2009, 2019) and the studies of Magina (2008, 2013, 2014). We conducted the study supported in the exploratory research model allied to quantitative and qualitative approaches in the Case Study modality. We used as methodology the diagnostic test developed by Magina, Santos and Merlini (2014), Appendix A, which was applied by the researcher, regent of the observed class. As a result, we noticed that the isolation by Covid-19 is not the main reason for the regular performance of the subjects, since the concepts addressed in the diagnostic test should be worked since elementary school 1, or even in early childhood education. We also noticed that the product of measures axis, from the multiplicative conceptual field, from the problem solving perspective, is little explored in the early years of elementary school, by the analysis of the resolutions. Therefore, it is necessary to work with more intensity and intentionality the situations related to the product of measures axis, so that students can develop their knowledge about the subject with expertise, creating better elaborated concept schemes. |
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Barbosa, Gabriela dos SantosSilva, Patricia Nunes daPires, Rogério Fernandohttp://lattes.cnpq.br/7634437942352223Lagares, Rebeca Lugão de Lima Dominguesrebecalugao@gmail.com2023-10-06T15:47:27Z2022-09-15LAGARES, Rebeca Lugão de Lima Domingues. Campo Conceitual Multiplicativo: Aprendendo com os argumentos dos alunos. 2022. 77 f. Dissertação (Mestrado em Matemática em Rede Nacional - PROFMAT) - Instituto de Matemática e Estatística, Universidade do Estado do Rio de Janeiro, Rio de Janeiro, 2022.http://www.bdtd.uerj.br/handle/1/20432The main objective of the present research was to analyze the knowledge belonging to the product of measures axis, of the multiplicative conceptual field, presented by eighth grade students in solving problem situations involving the multiplicative structure. In the research, we set out to answer the following question: "What concepts pertaining to the axis of products of measures were acquired by a certain group of eighth-grade students after the moment of isolation by the Covid - 19 pandemic?" For this, we conducted a study with 36 students, belonging to a state and comprehensive school, with proximity to the largest, and most dangerous, community of the city of Curitiba. The theoretical foundation of the research relied on the Theory of Conceptual Fields proposed by Vergnaud ( 1983, 1990, 1994, 1996, 1998, 2009, 2019) and the studies of Magina (2008, 2013, 2014). We conducted the study supported in the exploratory research model allied to quantitative and qualitative approaches in the Case Study modality. We used as methodology the diagnostic test developed by Magina, Santos and Merlini (2014), Appendix A, which was applied by the researcher, regent of the observed class. As a result, we noticed that the isolation by Covid-19 is not the main reason for the regular performance of the subjects, since the concepts addressed in the diagnostic test should be worked since elementary school 1, or even in early childhood education. We also noticed that the product of measures axis, from the multiplicative conceptual field, from the problem solving perspective, is little explored in the early years of elementary school, by the analysis of the resolutions. Therefore, it is necessary to work with more intensity and intentionality the situations related to the product of measures axis, so that students can develop their knowledge about the subject with expertise, creating better elaborated concept schemes.A presente pesquisa teve por objetivo principal analisar os conhecimentos pertencentes ao eixo de produto de medidas, do campo conceitual multiplicativo, apresentados por alunos do oitavo ano do ensino fundamental na resolução de situações problemas que envolvem a estrutura multiplicativa. Na pesquisa, nos propomos a responder a seguinte questão: “Quais conceitos relativos ao eixo de produtos de medidas foram adquiridos por determinado grupo de alunos do oitavo ano após o momento de isolamento pela pandemia do Covid - 19?” Para isso, realizamos um estudo com 36 alunos, pertencentes a uma escola estadual e integral, com proximidade a maior, e mais perigosa, comunidade da cidade de Curitiba. A fundamentação teórica da pesquisa contou com a Teoria dos Campos Conceituais proposta por Vergnaud ( 1983, 1990, 1994, 1996, 1998, 2009, 2019) e com os estudos de Magina (2008, 2013, 2014). Realizamos o estudo apoiado no modelo de pesquisa exploratória aliado às abordagens quantitativas e qualitativas na modalidade de Estudo de Casos. Usamos como metodologia o teste diagnóstico elaborado por Magina, Santos e Merlini (2014), Anexo A, que foi aplicado pela pesquisadora, regente da turma observada. Como resultado, percebemos que o isolamento pelo Covid-19 não é o principal motivo para o desempenho regular dos sujeitos, visto que os conceitos abordados no teste diagnóstico devem ser trabalhados desde o ensino fundamental 1, ou até mesmo na educação infantil. Percebemos também que, o eixo de produto de medidas, do campo conceitual multiplicativo, na perspectiva de resolução de problemas, é pouco explorado nos anos iniciais do ensino fundamental, pela análise das resoluções. Sendo assim, é necessário trabalhar com mais intensidade e intencionalidade as situações referentes ao eixo de produtos de medidas, para que os alunos possam desenvolver com expertise seus conhecimentos sobre o assunto, criando esquemas de conceitos da vez mais bem elaborados.Submitted by Bárbara CTC/A (babalusotnas@gmail.com) on 2023-10-06T15:47:27Z No. of bitstreams: 1 Dissertação - Rebeca Lugão de Lima Domingues Lagares- 2022 - Completa.pdf.pdf: 4025352 bytes, checksum: 109d8b351a8903b4a610efb5f05e859f (MD5)Made available in DSpace on 2023-10-06T15:47:27Z (GMT). No. of bitstreams: 1 Dissertação - Rebeca Lugão de Lima Domingues Lagares- 2022 - Completa.pdf.pdf: 4025352 bytes, checksum: 109d8b351a8903b4a610efb5f05e859f (MD5) Previous issue date: 2022-09-15application/pdfporUniversidade do Estado do Rio de JaneiroPrograma de Pós-Graduação em Matemática em Rede Nacional (PROFMAT)UERJBrasilCentro de Tecnologia e Ciências::Instituto de Matemática e EstatísticaConceptual Fields TheoryMultiplicative StructureMeasurement ProductsError AnalysisDiagnostic TestMatemática - Estudo e ensino (Ensino fundamental)MultiplicaçãoResolução de problemas (Matemática)Teoria dos Campos ConceituaisEstrutura MultiplicativaProdutos de MedidasAnálise de ErrosTeste DiagnósticoCIENCIAS EXATAS E DA TERRA::MATEMATICACampo Conceitual Multiplicativo: Aprendendo com os argumentos dos alunosMultiplicative conceptual field: Learning from student argumentsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/openAccessreponame:Biblioteca Digital de Teses e Dissertações da UERJinstname:Universidade do Estado do Rio de Janeiro (UERJ)instacron:UERJORIGINALDissertação - Rebeca Lugão de Lima Domingues Lagares - 2022 - Completa.pdfDissertação - Rebeca Lugão de Lima Domingues Lagares - 2022 - Completa.pdfapplication/pdf4025352http://www.bdtd.uerj.br/bitstream/1/20432/2/Disserta%C3%A7%C3%A3o+-+Rebeca+Lug%C3%A3o+de+Lima+Domingues+Lagares+-+2022+-+Completa.pdf109d8b351a8903b4a610efb5f05e859fMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-82123http://www.bdtd.uerj.br/bitstream/1/20432/1/license.txte5502652da718045d7fcd832b79fca29MD511/204322024-02-27 15:41:05.276oai:www.bdtd.uerj.br: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Biblioteca Digital de Teses e Dissertaçõeshttp://www.bdtd.uerj.br/PUBhttps://www.bdtd.uerj.br:8443/oai/requestbdtd.suporte@uerj.bropendoar:29032024-02-27T18:41:05Biblioteca Digital de Teses e Dissertações da UERJ - Universidade do Estado do Rio de Janeiro (UERJ)false |
dc.title.por.fl_str_mv |
Campo Conceitual Multiplicativo: Aprendendo com os argumentos dos alunos |
dc.title.alternative.eng.fl_str_mv |
Multiplicative conceptual field: Learning from student arguments |
title |
Campo Conceitual Multiplicativo: Aprendendo com os argumentos dos alunos |
spellingShingle |
Campo Conceitual Multiplicativo: Aprendendo com os argumentos dos alunos Lagares, Rebeca Lugão de Lima Domingues Conceptual Fields Theory Multiplicative Structure Measurement Products Error Analysis Diagnostic Test Matemática - Estudo e ensino (Ensino fundamental) Multiplicação Resolução de problemas (Matemática) Teoria dos Campos Conceituais Estrutura Multiplicativa Produtos de Medidas Análise de Erros Teste Diagnóstico CIENCIAS EXATAS E DA TERRA::MATEMATICA |
title_short |
Campo Conceitual Multiplicativo: Aprendendo com os argumentos dos alunos |
title_full |
Campo Conceitual Multiplicativo: Aprendendo com os argumentos dos alunos |
title_fullStr |
Campo Conceitual Multiplicativo: Aprendendo com os argumentos dos alunos |
title_full_unstemmed |
Campo Conceitual Multiplicativo: Aprendendo com os argumentos dos alunos |
title_sort |
Campo Conceitual Multiplicativo: Aprendendo com os argumentos dos alunos |
author |
Lagares, Rebeca Lugão de Lima Domingues |
author_facet |
Lagares, Rebeca Lugão de Lima Domingues rebecalugao@gmail.com |
author_role |
author |
author2 |
rebecalugao@gmail.com |
author2_role |
author |
dc.contributor.advisor1.fl_str_mv |
Barbosa, Gabriela dos Santos |
dc.contributor.referee1.fl_str_mv |
Silva, Patricia Nunes da |
dc.contributor.referee2.fl_str_mv |
Pires, Rogério Fernando |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/7634437942352223 |
dc.contributor.author.fl_str_mv |
Lagares, Rebeca Lugão de Lima Domingues rebecalugao@gmail.com |
contributor_str_mv |
Barbosa, Gabriela dos Santos Silva, Patricia Nunes da Pires, Rogério Fernando |
dc.subject.eng.fl_str_mv |
Conceptual Fields Theory Multiplicative Structure Measurement Products Error Analysis Diagnostic Test |
topic |
Conceptual Fields Theory Multiplicative Structure Measurement Products Error Analysis Diagnostic Test Matemática - Estudo e ensino (Ensino fundamental) Multiplicação Resolução de problemas (Matemática) Teoria dos Campos Conceituais Estrutura Multiplicativa Produtos de Medidas Análise de Erros Teste Diagnóstico CIENCIAS EXATAS E DA TERRA::MATEMATICA |
dc.subject.por.fl_str_mv |
Matemática - Estudo e ensino (Ensino fundamental) Multiplicação Resolução de problemas (Matemática) Teoria dos Campos Conceituais Estrutura Multiplicativa Produtos de Medidas Análise de Erros Teste Diagnóstico |
dc.subject.cnpq.fl_str_mv |
CIENCIAS EXATAS E DA TERRA::MATEMATICA |
description |
The main objective of the present research was to analyze the knowledge belonging to the product of measures axis, of the multiplicative conceptual field, presented by eighth grade students in solving problem situations involving the multiplicative structure. In the research, we set out to answer the following question: "What concepts pertaining to the axis of products of measures were acquired by a certain group of eighth-grade students after the moment of isolation by the Covid - 19 pandemic?" For this, we conducted a study with 36 students, belonging to a state and comprehensive school, with proximity to the largest, and most dangerous, community of the city of Curitiba. The theoretical foundation of the research relied on the Theory of Conceptual Fields proposed by Vergnaud ( 1983, 1990, 1994, 1996, 1998, 2009, 2019) and the studies of Magina (2008, 2013, 2014). We conducted the study supported in the exploratory research model allied to quantitative and qualitative approaches in the Case Study modality. We used as methodology the diagnostic test developed by Magina, Santos and Merlini (2014), Appendix A, which was applied by the researcher, regent of the observed class. As a result, we noticed that the isolation by Covid-19 is not the main reason for the regular performance of the subjects, since the concepts addressed in the diagnostic test should be worked since elementary school 1, or even in early childhood education. We also noticed that the product of measures axis, from the multiplicative conceptual field, from the problem solving perspective, is little explored in the early years of elementary school, by the analysis of the resolutions. Therefore, it is necessary to work with more intensity and intentionality the situations related to the product of measures axis, so that students can develop their knowledge about the subject with expertise, creating better elaborated concept schemes. |
publishDate |
2022 |
dc.date.issued.fl_str_mv |
2022-09-15 |
dc.date.accessioned.fl_str_mv |
2023-10-06T15:47:27Z |
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 |
LAGARES, Rebeca Lugão de Lima Domingues. Campo Conceitual Multiplicativo: Aprendendo com os argumentos dos alunos. 2022. 77 f. Dissertação (Mestrado em Matemática em Rede Nacional - PROFMAT) - Instituto de Matemática e Estatística, Universidade do Estado do Rio de Janeiro, Rio de Janeiro, 2022. |
dc.identifier.uri.fl_str_mv |
http://www.bdtd.uerj.br/handle/1/20432 |
identifier_str_mv |
LAGARES, Rebeca Lugão de Lima Domingues. Campo Conceitual Multiplicativo: Aprendendo com os argumentos dos alunos. 2022. 77 f. Dissertação (Mestrado em Matemática em Rede Nacional - PROFMAT) - Instituto de Matemática e Estatística, Universidade do Estado do Rio de Janeiro, Rio de Janeiro, 2022. |
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http://www.bdtd.uerj.br/handle/1/20432 |
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Brasil |
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Universidade do Estado do Rio de Janeiro |
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