Formação inicial de professores de Matemática rumo a uma perspectiva crítica : possibilidades por meio do trabalho pedagógico com cenários para investigação

Detalhes bibliográficos
Ano de defesa: 2025
Autor(a) principal: Santiago, Maria Flávia Maciel lattes
Orientador(a): Silva, Guilherme Henrique Gomes Da lattes
Banca de defesa: Milani, Raquel, Malheiros, Ana Paula Dos Santos
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Universidade Federal de Alfenas
Programa de Pós-Graduação: Programa de Pós-Graduação em Educação
Departamento: Pró-Reitoria de Pesquisa e Pós-Graduação
País: Brasil
Palavras-chave em Português:
Área do conhecimento CNPq:
Link de acesso: https://repositorio.unifal-mg.edu.br/handle/123456789/2715
Resumo: Critical Mathematics Education (CME) can be understood as an expression of concerns regarding Mathematics Education, encompassing, among other aspects, concepts intrinsically linked to teaching, such as landscapes of investigation and dialogue. Working with landscapes of investigation has been one of the pathways for developing CME-related concerns in the classroom. Landscapes of investigation are learning environments that allow students to engage in investigative processes, establish dialogical interactions, and reflect on sociopolitical issues in mathematics classes. This research aimed to understand how future mathematics teachers engage in studying, designing, and developing landscapes of investigation with high school students. To achieve this, a qualitative approach was adopted, involving a case study with five undergraduate mathematics students from a federal university in southern Minas Gerais, who were participants in the Pedagogical Residency Program. In this context, a teacher education proposal called Teacher Education Cycles for Critical Mathematics Education was used. For data production, the participant observation method was employed, using instruments such as audio recordings of future teachers’ interactions during the teacher education process and written records of observations from meetings and pedagogical interventions they conducted. A thematic construction approach was used for data organization and analysis. The research results highlight changes in the future teachers’ attitudes and their understanding of landscapes of investigation. The appropriation of the theoretical framework, combined with classroom experiences, proved to be important for their engagement, as it influenced how they designed and implemented their practices, allowing them to confront theoretical discussions with their own experiences. Additionally, significant engagement was observed in the training proposal, as they identified with it, demonstrated interest, and committed to the proposed activities within the training context. This engagement provided the opportunity to enact new ideas, beliefs, and practices developed through a reflective process combined with experiences in landscapes of investigation. The results also highlight factors that may interfere with how future teachers engage in the teacher education, such as the excessive workload of their undergraduate program and other activities, the lack of resources in schools, and the difficulties high school students face with mathematical content. Moreover, the results point to elements that fostered future teachers’ engagement with landscapes of investigation, such as the dynamics of the Pedagogical Residency Program and the approach adopted by the teacher educator, which aligned with CME concerns. Finally, this study’s findings suggest possibilities for improving the teacher education proposal itself, emphasizing the importance of dedicating time to discussing mathematical content and experiencing landscapes of investigation.
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spelling Santiago, Maria Flávia Macielhttp://lattes.cnpq.br/5817829882396943Milani, RaquelMalheiros, Ana Paula Dos SantosSilva, Guilherme Henrique Gomes Dahttp://lattes.cnpq.br/26116557134186002025-03-31T17:44:57Z2025-04-24T20:14:42Z2025-04-24T20:14:42Z2025-01-28SANTIAGO, Maria Flávia Maciel. Formação inicial de professores de Matemática rumo a uma perspectiva crítica : possibilidades por meio do trabalho pedagógico com cenários para investigação. 2025. 152 f. Dissertação (Mestrado em Educação) - Universidade Federal de Alfenas, Alfenas, MG, 2025.https://repositorio.unifal-mg.edu.br/handle/123456789/2715Critical Mathematics Education (CME) can be understood as an expression of concerns regarding Mathematics Education, encompassing, among other aspects, concepts intrinsically linked to teaching, such as landscapes of investigation and dialogue. Working with landscapes of investigation has been one of the pathways for developing CME-related concerns in the classroom. Landscapes of investigation are learning environments that allow students to engage in investigative processes, establish dialogical interactions, and reflect on sociopolitical issues in mathematics classes. This research aimed to understand how future mathematics teachers engage in studying, designing, and developing landscapes of investigation with high school students. To achieve this, a qualitative approach was adopted, involving a case study with five undergraduate mathematics students from a federal university in southern Minas Gerais, who were participants in the Pedagogical Residency Program. In this context, a teacher education proposal called Teacher Education Cycles for Critical Mathematics Education was used. For data production, the participant observation method was employed, using instruments such as audio recordings of future teachers’ interactions during the teacher education process and written records of observations from meetings and pedagogical interventions they conducted. A thematic construction approach was used for data organization and analysis. The research results highlight changes in the future teachers’ attitudes and their understanding of landscapes of investigation. The appropriation of the theoretical framework, combined with classroom experiences, proved to be important for their engagement, as it influenced how they designed and implemented their practices, allowing them to confront theoretical discussions with their own experiences. Additionally, significant engagement was observed in the training proposal, as they identified with it, demonstrated interest, and committed to the proposed activities within the training context. This engagement provided the opportunity to enact new ideas, beliefs, and practices developed through a reflective process combined with experiences in landscapes of investigation. The results also highlight factors that may interfere with how future teachers engage in the teacher education, such as the excessive workload of their undergraduate program and other activities, the lack of resources in schools, and the difficulties high school students face with mathematical content. Moreover, the results point to elements that fostered future teachers’ engagement with landscapes of investigation, such as the dynamics of the Pedagogical Residency Program and the approach adopted by the teacher educator, which aligned with CME concerns. Finally, this study’s findings suggest possibilities for improving the teacher education proposal itself, emphasizing the importance of dedicating time to discussing mathematical content and experiencing landscapes of investigation.A Educação Matemática Crítica (EMC) pode ser entendida como uma expressão de preocupações acerca da Educação Matemática, abrangendo, dentre outros aspectos, conceitos intrinsecamente ligados ao ensino, como cenários para investigação e diálogo. O trabalho com cenários para investigação tem sido um dos caminhos para o desenvolvimento de preocupações da EMC em sala de aula. Os cenários para investigação são ambientes de aprendizagem que possibilitam aos estudantes envolver-se em processos investigativos, estabelecer interações dialógicas e refletir sobre questões sociopolíticas nas aulas de matemática. Esta pesquisa buscou compreender de que modo futuros professores de Matemática se engajam no estudo, na elaboração e no desenvolvimento de cenários para investigação com estudantes do Ensino Médio. Para isso, adotou-se a abordagem qualitativa, na qual foi realizado um estudo de caso com cinco estudantes do curso de licenciatura em matemática de uma universidade federal do sul de Minas Gerais, participantes do Programa Residência Pedagógica. Nesse contexto, utilizou-se a proposta formativa denominada Ciclos de Formação Docente para a Educação Matemática Crítica. Para a produção dos dados, empregou-se o método da observação participante, utilizando instrumentos como gravações em áudio das interações dos futuros professores durante o processo formativo e registros escritos acerca das observações das reuniões e das intervenções pedagógicas realizadas por eles. Para a organização e análise dos dados, utilizou-se uma proposta de construção temática. Os resultados da pesquisa evidenciam mudanças na postura dos futuros professores e no seu entendimento sobre cenários para investigação. A apropriação do referencial teórico, aliada às experiências em sala de aula, mostrou-se importante para o engajamento dos futuros professores, pois influenciou a maneira como elaboraram e desenvolveram suas práticas, permitindo-lhes confrontar o que as discussões teóricas com suas experiências. Além disso, observou-se um importante engajamento dos futuros professores na proposta formativa, uma vez que se identificaram com ela, demonstraram interesse e se comprometeram com as ações propostas no contexto formativo. Esse engajamento oportunizou colocar em ação novas ideias, crenças e práticas desenvolvidas por meio de um processo de reflexão aliado às vivências com cenários para investigação. Os resultados também destacam fatores que podem interferir na forma como os futuros professores se engajam na proposta formativa, tais como carga horária excessiva de seu curso de licenciatura e de suas atividades, a falta de recursos das escolas e as dificuldades dos estudantes do Ensino Médio com os conteúdos matemáticos. Além disso, os resultados evidenciam elementos que favoreceram o engajamento de futuros professores com cenários para investigação, como a dinâmica do Programa Residência Pedagógica e a postura adotada pela professora formadora, que se alinhava às preocupações da EMC. Por fim, os resultados deste estudo apontam possibilidades para o aprimoramento da própria proposta formativa, destacando a importância de momentos dedicados à discussão dos conteúdos matemáticos e à vivência com cenários para investigação.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESapplication/pdfporUniversidade Federal de AlfenasPrograma de Pós-Graduação em EducaçãoUNIFAL-MGBrasilPró-Reitoria de Pesquisa e Pós-Graduaçãoinfo:eu-repo/semantics/openAccessCenários Para InvestigaçãoPrograma Residência PedagógicaFormação Inicial De ProfessoresEducação Matemática CríticaEducação MatemáticaCIENCIAS HUMANAS::EDUCACAOFormação inicial de professores de Matemática rumo a uma perspectiva crítica : possibilidades por meio do trabalho pedagógico com cenários para investigaçãoinfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/publishedVersionreponame:Biblioteca Digital de Teses e Dissertações da UNIFALinstname:Universidade Federal de Alfenas (UNIFAL)instacron:UNIFALSantiago, Maria Flávia MacielLICENSElicense.txttext/plain1987https://repositorio.unifal-mg.edu.br/bitstreams/af400850-bec7-424c-b798-cd055de3616b/download31555718c4fc75849dd08f27935d4f6bMD51ORIGINALDissertacao de Maria Flávia Maciel Santiago.pdfapplication/pdf7283975https://repositorio.unifal-mg.edu.br/bitstreams/f736752a-521a-442d-a88f-bafc309dbbfe/download17a9d86f56209870ceecf728deb20a4bMD52TEXTDissertacao de Maria Flávia Maciel Santiago.pdf.txtDissertacao de Maria Flávia Maciel Santiago.pdf.txtExtracted texttext/plain103251https://repositorio.unifal-mg.edu.br/bitstreams/33c3bc09-2c86-453e-9887-fe34a2678d50/downloadf336579363e285ed53396c166587a7d6MD53THUMBNAILDissertacao de Maria Flávia Maciel Santiago.pdf.jpgDissertacao de Maria Flávia Maciel Santiago.pdf.jpgGenerated Thumbnailimage/jpeg2595https://repositorio.unifal-mg.edu.br/bitstreams/c44e0bff-dd96-4855-b345-e3de8750e2ba/downloadcf6f905b07ae011600ad957a1b1ed0eeMD54123456789/27152025-04-28 09:59:12.919open.accessoai:repositorio.unifal-mg.edu.br:123456789/2715https://repositorio.unifal-mg.edu.brBiblioteca Digital de Teses e DissertaçõesPUBhttps://bdtd.unifal-mg.edu.br:8443/oai/requestbdtd@unifal-mg.edu.br || bdtd@unifal-mg.edu.bropendoar:2025-04-28T12:59:12Biblioteca Digital de Teses e Dissertações da UNIFAL - Universidade Federal de Alfenas (UNIFAL)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
dc.title.por.fl_str_mv Formação inicial de professores de Matemática rumo a uma perspectiva crítica : possibilidades por meio do trabalho pedagógico com cenários para investigação
title Formação inicial de professores de Matemática rumo a uma perspectiva crítica : possibilidades por meio do trabalho pedagógico com cenários para investigação
spellingShingle Formação inicial de professores de Matemática rumo a uma perspectiva crítica : possibilidades por meio do trabalho pedagógico com cenários para investigação
Santiago, Maria Flávia Maciel
Cenários Para Investigação
Programa Residência Pedagógica
Formação Inicial De Professores
Educação Matemática Crítica
Educação Matemática
CIENCIAS HUMANAS::EDUCACAO
title_short Formação inicial de professores de Matemática rumo a uma perspectiva crítica : possibilidades por meio do trabalho pedagógico com cenários para investigação
title_full Formação inicial de professores de Matemática rumo a uma perspectiva crítica : possibilidades por meio do trabalho pedagógico com cenários para investigação
title_fullStr Formação inicial de professores de Matemática rumo a uma perspectiva crítica : possibilidades por meio do trabalho pedagógico com cenários para investigação
title_full_unstemmed Formação inicial de professores de Matemática rumo a uma perspectiva crítica : possibilidades por meio do trabalho pedagógico com cenários para investigação
title_sort Formação inicial de professores de Matemática rumo a uma perspectiva crítica : possibilidades por meio do trabalho pedagógico com cenários para investigação
author Santiago, Maria Flávia Maciel
author_facet Santiago, Maria Flávia Maciel
author_role author
dc.contributor.author.fl_str_mv Santiago, Maria Flávia Maciel
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/5817829882396943
dc.contributor.referee1.fl_str_mv Milani, Raquel
dc.contributor.referee2.fl_str_mv Malheiros, Ana Paula Dos Santos
dc.contributor.advisor1.fl_str_mv Silva, Guilherme Henrique Gomes Da
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/2611655713418600
contributor_str_mv Milani, Raquel
Malheiros, Ana Paula Dos Santos
Silva, Guilherme Henrique Gomes Da
dc.subject.por.fl_str_mv Cenários Para Investigação
Programa Residência Pedagógica
Formação Inicial De Professores
Educação Matemática Crítica
Educação Matemática
topic Cenários Para Investigação
Programa Residência Pedagógica
Formação Inicial De Professores
Educação Matemática Crítica
Educação Matemática
CIENCIAS HUMANAS::EDUCACAO
dc.subject.cnpq.fl_str_mv CIENCIAS HUMANAS::EDUCACAO
description Critical Mathematics Education (CME) can be understood as an expression of concerns regarding Mathematics Education, encompassing, among other aspects, concepts intrinsically linked to teaching, such as landscapes of investigation and dialogue. Working with landscapes of investigation has been one of the pathways for developing CME-related concerns in the classroom. Landscapes of investigation are learning environments that allow students to engage in investigative processes, establish dialogical interactions, and reflect on sociopolitical issues in mathematics classes. This research aimed to understand how future mathematics teachers engage in studying, designing, and developing landscapes of investigation with high school students. To achieve this, a qualitative approach was adopted, involving a case study with five undergraduate mathematics students from a federal university in southern Minas Gerais, who were participants in the Pedagogical Residency Program. In this context, a teacher education proposal called Teacher Education Cycles for Critical Mathematics Education was used. For data production, the participant observation method was employed, using instruments such as audio recordings of future teachers’ interactions during the teacher education process and written records of observations from meetings and pedagogical interventions they conducted. A thematic construction approach was used for data organization and analysis. The research results highlight changes in the future teachers’ attitudes and their understanding of landscapes of investigation. The appropriation of the theoretical framework, combined with classroom experiences, proved to be important for their engagement, as it influenced how they designed and implemented their practices, allowing them to confront theoretical discussions with their own experiences. Additionally, significant engagement was observed in the training proposal, as they identified with it, demonstrated interest, and committed to the proposed activities within the training context. This engagement provided the opportunity to enact new ideas, beliefs, and practices developed through a reflective process combined with experiences in landscapes of investigation. The results also highlight factors that may interfere with how future teachers engage in the teacher education, such as the excessive workload of their undergraduate program and other activities, the lack of resources in schools, and the difficulties high school students face with mathematical content. Moreover, the results point to elements that fostered future teachers’ engagement with landscapes of investigation, such as the dynamics of the Pedagogical Residency Program and the approach adopted by the teacher educator, which aligned with CME concerns. Finally, this study’s findings suggest possibilities for improving the teacher education proposal itself, emphasizing the importance of dedicating time to discussing mathematical content and experiencing landscapes of investigation.
publishDate 2025
dc.date.accessioned.fl_str_mv 2025-03-31T17:44:57Z
2025-04-24T20:14:42Z
dc.date.available.fl_str_mv 2025-04-24T20:14:42Z
dc.date.issued.fl_str_mv 2025-01-28
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dc.identifier.citation.fl_str_mv SANTIAGO, Maria Flávia Maciel. Formação inicial de professores de Matemática rumo a uma perspectiva crítica : possibilidades por meio do trabalho pedagógico com cenários para investigação. 2025. 152 f. Dissertação (Mestrado em Educação) - Universidade Federal de Alfenas, Alfenas, MG, 2025.
dc.identifier.uri.fl_str_mv https://repositorio.unifal-mg.edu.br/handle/123456789/2715
identifier_str_mv SANTIAGO, Maria Flávia Maciel. Formação inicial de professores de Matemática rumo a uma perspectiva crítica : possibilidades por meio do trabalho pedagógico com cenários para investigação. 2025. 152 f. Dissertação (Mestrado em Educação) - Universidade Federal de Alfenas, Alfenas, MG, 2025.
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