As decisões didáticas do professor de matemática na perspectiva do desenvolvimento do pensamento algébrico
| Ano de defesa: | 2024 |
|---|---|
| Autor(a) principal: | |
| Orientador(a): | |
| Banca de defesa: | , |
| Tipo de documento: | Dissertação |
| Tipo de acesso: | Acesso embargado |
| 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: |
BR
|
| Palavras-chave em Português: | |
| Área do conhecimento CNPq: | |
| Link de acesso: | https://repositorio.uepb.edu.br/handle/123456789/74130 |
Resumo: | This study, developed in the field of Mathematics Didactics of French origin, aims to investigate the factors that influence the didactic decisions made by a Mathematics teacher in the (re)construction of a didactic sequence involving patterns and regularities, aimed at developing the algebraic thinking of high school students. To this end, we initially discussed some aspects that we consider important about the teaching of Algebra and then we anchored ourselves in the theoretical field of Didactic Decisions, a theory proposed by Margolinas (2002, 2005) that presents the Model of Levels of Teacher Activity, and in the Model of Decisional Factors proposed by Bessot (2019). Our methodology consists of a qualitative approach and is based on the case study of a mathematics teacher participating in the high school working group in the PRIPINT Project. The procedure for producing the research data occurred in three phases: Phase 1 – The production of didactic sequences (versions 1 and 2) based on the task “The matchsticks”; Phase 2 - Comparison of the versions of the didactic sequence; Phase 3 - Preparation and implementation of an interview with the teacher. Data analysis was inspired by the content analysis proposed by Bardin (2016), which comprises the following phases: Pre-analysis; Exploration of the material; and Treatment of results, inference and interpretation. Based on the analyses performed, we infer that the decisions made by the teacher to reconstruct the didactic proposal emerged from the direct influence of a combination of epistemic and didactic history factors, with a predominance of the former, especially those linked to the teacher's personal relationship with pedagogy and the teacher's personal relationship with the knowledge to be taught. We believe that the predominance of these two subtypes of epistemic factors is directly related to the teacher's conceptions about the mathematical knowledge to be taught and about the pedagogy that guides this teaching. |
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2025-07-24T13:55:16Z2026-02-27T14:50:37Z2999-12-312024-12-17NASCIMENTO, Wendson César Silva do. As decisões didáticas do professor de matemática na perspectiva do desenvolvimento do pensamento algébrico. 2025. 151 f. Dissertação (Mestrado Profissional em Ensino de Ciências e Educação Matemática) - Universidade Estadual da Paraíba, Campina Grande, 2024.https://repositorio.uepb.edu.br/handle/123456789/74130This study, developed in the field of Mathematics Didactics of French origin, aims to investigate the factors that influence the didactic decisions made by a Mathematics teacher in the (re)construction of a didactic sequence involving patterns and regularities, aimed at developing the algebraic thinking of high school students. To this end, we initially discussed some aspects that we consider important about the teaching of Algebra and then we anchored ourselves in the theoretical field of Didactic Decisions, a theory proposed by Margolinas (2002, 2005) that presents the Model of Levels of Teacher Activity, and in the Model of Decisional Factors proposed by Bessot (2019). Our methodology consists of a qualitative approach and is based on the case study of a mathematics teacher participating in the high school working group in the PRIPINT Project. The procedure for producing the research data occurred in three phases: Phase 1 – The production of didactic sequences (versions 1 and 2) based on the task “The matchsticks”; Phase 2 - Comparison of the versions of the didactic sequence; Phase 3 - Preparation and implementation of an interview with the teacher. Data analysis was inspired by the content analysis proposed by Bardin (2016), which comprises the following phases: Pre-analysis; Exploration of the material; and Treatment of results, inference and interpretation. Based on the analyses performed, we infer that the decisions made by the teacher to reconstruct the didactic proposal emerged from the direct influence of a combination of epistemic and didactic history factors, with a predominance of the former, especially those linked to the teacher's personal relationship with pedagogy and the teacher's personal relationship with the knowledge to be taught. We believe that the predominance of these two subtypes of epistemic factors is directly related to the teacher's conceptions about the mathematical knowledge to be taught and about the pedagogy that guides this teaching.O presente estudo, desenvolvido no campo da Didática da Matemática de origem francesa, tem por objetivo investigar os fatores que influenciam as decisões didáticas realizadas por uma professora de Matemática na (re)construção de uma sequência didática envolvendo padrões e regularidades, voltada para o desenvolvimento do pensamento algébrico de estudantes do Ensino Médio. Para tanto, discutimos inicialmente alguns aspectos que julgamos importantes sobre o ensino de Álgebra e em seguida nos ancoramos no campo teórico das Decisões Didática, teoria proposta por Margolinas (2002, 2005) que apresenta o Modelo dos Níveis da Atividade do Professor, e no Modelo dos Fatores Decisionais propostos por Bessot (2019). Nossa metodologia se constitui de uma abordagem qualitativa e baseia-se no estudo de caso de uma professora de matemática participante do grupo de trabalho do Ensino Médio no Projeto PRIPINT. O procedimento para a produção dos dados da pesquisa ocorreu em três fases: Fase 1 – A produção de sequências didáticas (versão 1 e 2) a partir da tarefa “Os palitos de fósforo”; Fase 2 - Comparação das versões da sequência didática; Fase 3 - Elaboração e realização de uma entrevista com a professora. A análise dos dados foi inspirada na proposta da Análise de conteúdo proposta por Bardin (2016) compreendida pelas fases: Pré-análise; Exploração do material e Tratamento dos resultados, inferência e interpretação. Com base nas análises realizadas, inferimos que as decisões tomadas pela professora para reconstrução da proposta didática emergiram da influência direta de uma combinação de fatores do tipo epistêmico e do tipo história didática, com predominância do primeiro, em especial os ligados à relação pessoal do professor à pedagogia e à relação pessoal do professor ao saber a ser ensinado. Acreditamos que a predominância desses dois subtipos de fatores epistêmicos está diretamente relacionada às concepções da professora sobre o saber matemático a ser ensinado e sobre a pedagogia que orienta esse ensino.application/pdfUniversidade Estadual da ParaíbaPrograma de Pós-Graduação em Ensino de Ciências e Educação Matemática - PPGECEMUEPBBRPró-Reitoria de Pós-Graduação e Pesquisa - PRPGPEDUCACAOPensamento AlgébricoGeneralização de PadrõesDecisões DidáticasAs decisões didáticas do professor de matemática na perspectiva do desenvolvimento do pensamento algébricoinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisMenezes, Marcus Bessa dehttp://lattes.cnpq.br/7719250848803909Almeida, Jadilson Ramos dehttp://lattes.cnpq.br/5828404099372063Assis, Cibelle de Fátima Castro dehttp://lattes.cnpq.br/7494437846718310http://lattes.cnpq.br/3595386440931444Nascimento, Wendson César Silva doinfo:eu-repo/semantics/embargoedAccessporreponame:Repositório Institucional da Universidade Estadual da Paraíba (UEPB)instname:Universidade Estadual da Paraíba (UEPB)instacron:UEPBORIGINALDS - Wendson César Silva do Nascimento.pdfDS - Wendson César Silva do Nascimento.pdfDS - Wendson César Silva do Nascimentoapplication/pdf1610201https://repositorio.uepb.edu.br/bitstreams/19246945-74d6-4c86-87d7-619dfc191982/downloadf4a4f39557ee05ccaca569f9138d4d6eMD54trueAnonymousREADPE - Wendson César Silva do Nascimento.pdfPE - Wendson César Silva do Nascimento.pdfPE - Wendson César Silva do Nascimentoapplication/pdf608068https://repositorio.uepb.edu.br/bitstreams/7d0ed0f5-1036-46c2-90ec-291fc7b26495/downloadc0662aee7be9c19df812b85eda334687MD53falseAnonymousREADTermo de Depósito BDTD.pdfTermo de Depósito BDTD.pdfTermo de Depósito BDTDapplication/pdf281685https://repositorio.uepb.edu.br/bitstreams/45618599-ef65-4943-b1b7-c07514bcf1b7/download347362252d61c411c9a8a9fea234317fMD55falseAdministratorREAD2999-12-31LICENSElicense.txtlicense.txttext/plain; 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| dc.title.none.fl_str_mv |
As decisões didáticas do professor de matemática na perspectiva do desenvolvimento do pensamento algébrico |
| title |
As decisões didáticas do professor de matemática na perspectiva do desenvolvimento do pensamento algébrico |
| spellingShingle |
As decisões didáticas do professor de matemática na perspectiva do desenvolvimento do pensamento algébrico Nascimento, Wendson César Silva do EDUCACAO Pensamento Algébrico Generalização de Padrões Decisões Didáticas |
| title_short |
As decisões didáticas do professor de matemática na perspectiva do desenvolvimento do pensamento algébrico |
| title_full |
As decisões didáticas do professor de matemática na perspectiva do desenvolvimento do pensamento algébrico |
| title_fullStr |
As decisões didáticas do professor de matemática na perspectiva do desenvolvimento do pensamento algébrico |
| title_full_unstemmed |
As decisões didáticas do professor de matemática na perspectiva do desenvolvimento do pensamento algébrico |
| title_sort |
As decisões didáticas do professor de matemática na perspectiva do desenvolvimento do pensamento algébrico |
| author |
Nascimento, Wendson César Silva do |
| author_facet |
Nascimento, Wendson César Silva do |
| author_role |
author |
| dc.contributor.referee1.fl_str_mv |
Menezes, Marcus Bessa de |
| dc.contributor.referee1Lattes.fl_str_mv |
http://lattes.cnpq.br/7719250848803909 |
| dc.contributor.referee2.fl_str_mv |
Almeida, Jadilson Ramos de |
| dc.contributor.referee2Lattes.fl_str_mv |
http://lattes.cnpq.br/5828404099372063 |
| dc.contributor.advisor1.fl_str_mv |
Assis, Cibelle de Fátima Castro de |
| dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/7494437846718310 |
| dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/3595386440931444 |
| dc.contributor.author.fl_str_mv |
Nascimento, Wendson César Silva do |
| contributor_str_mv |
Menezes, Marcus Bessa de Almeida, Jadilson Ramos de Assis, Cibelle de Fátima Castro de |
| dc.subject.cnpq.fl_str_mv |
EDUCACAO |
| topic |
EDUCACAO Pensamento Algébrico Generalização de Padrões Decisões Didáticas |
| dc.subject.por.fl_str_mv |
Pensamento Algébrico Generalização de Padrões Decisões Didáticas |
| description |
This study, developed in the field of Mathematics Didactics of French origin, aims to investigate the factors that influence the didactic decisions made by a Mathematics teacher in the (re)construction of a didactic sequence involving patterns and regularities, aimed at developing the algebraic thinking of high school students. To this end, we initially discussed some aspects that we consider important about the teaching of Algebra and then we anchored ourselves in the theoretical field of Didactic Decisions, a theory proposed by Margolinas (2002, 2005) that presents the Model of Levels of Teacher Activity, and in the Model of Decisional Factors proposed by Bessot (2019). Our methodology consists of a qualitative approach and is based on the case study of a mathematics teacher participating in the high school working group in the PRIPINT Project. The procedure for producing the research data occurred in three phases: Phase 1 – The production of didactic sequences (versions 1 and 2) based on the task “The matchsticks”; Phase 2 - Comparison of the versions of the didactic sequence; Phase 3 - Preparation and implementation of an interview with the teacher. Data analysis was inspired by the content analysis proposed by Bardin (2016), which comprises the following phases: Pre-analysis; Exploration of the material; and Treatment of results, inference and interpretation. Based on the analyses performed, we infer that the decisions made by the teacher to reconstruct the didactic proposal emerged from the direct influence of a combination of epistemic and didactic history factors, with a predominance of the former, especially those linked to the teacher's personal relationship with pedagogy and the teacher's personal relationship with the knowledge to be taught. We believe that the predominance of these two subtypes of epistemic factors is directly related to the teacher's conceptions about the mathematical knowledge to be taught and about the pedagogy that guides this teaching. |
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2024 |
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2024-12-17 |
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2025-07-24T13:55:16Z 2026-02-27T14:50:37Z |
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2999-12-31 |
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NASCIMENTO, Wendson César Silva do. As decisões didáticas do professor de matemática na perspectiva do desenvolvimento do pensamento algébrico. 2025. 151 f. Dissertação (Mestrado Profissional em Ensino de Ciências e Educação Matemática) - Universidade Estadual da Paraíba, Campina Grande, 2024. |
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https://repositorio.uepb.edu.br/handle/123456789/74130 |
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NASCIMENTO, Wendson César Silva do. As decisões didáticas do professor de matemática na perspectiva do desenvolvimento do pensamento algébrico. 2025. 151 f. Dissertação (Mestrado Profissional em Ensino de Ciências e Educação Matemática) - Universidade Estadual da Paraíba, Campina Grande, 2024. |
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Universidade Estadual da Paraíba |
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