A educação estatística crítica no quinto ano do ensino fundamental

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Detalles Bibliográficos
Autor principal: Hollas, Justiani
Fecha de Publicación: 2025
Formato: Doctoral thesis
Lenguaje: por
Fuente: Repositório Institucional da UPF
Download full: https://repositorio.upf.br/handle/123456789/10197
Sumario: This thesis presents research on Critical Statistical Education, accompanied by an Educational Product consisting of a teaching sequence developed for fifth-grade mathematics classes. The central question guiding the study is: how can we promote statistics teaching in fifth-grade elementary school from a critical perspective? The overall objective of this research is to develop, implement, and analyze a proposal for teaching statistics in fifth-grade elementary school through a teaching sequence that aligns with the theoretical and epistemological assumptions of Critical Statistical Education. From a methodological perspective, this is qualitative research, grounded in Didactic Engineering, as outlined by Artigue (1996). The research sought to meet the following specific objectives: to historically situate the teaching of statistics; to understand the theoretical foundations that underpin this field of teaching; to develop a teaching sequence for fifth-grade elementary school students; and to deepen the understanding of statistical literacy and critical thinking among students. The study emphasizes the fundamentals of statistics teaching, especially in the early years of elementary school, highlighting the importance of addressing the content from the initial stages of schooling. Concurrently, an Educational Product was developed. After implementing the proposal, data analysis was conducted using Discursive Textual Analysis, according to the methodology proposed by Moraes and Galiazzi (2007), using logbooks, video recordings, and photographs as collection tools. The developed Educational Product is presented throughout the thesis and made available as supplementary material, functioning as an additional resource to the textbook, aiming to support teachers in planning and implementing statistics classes. The research is considered a significant contribution to students' critical thinking and to the development of their ability to read the world, especially in the context of the transition between the early and late years of elementary school, a moment considered a significant milestone in basic education. Furthermore, the developed teaching sequence strengthens pedagogical practices and provides theoretical and methodological support to teachers with a degree in Pedagogy. All materials produced are available on the website of the Graduate Program in Science and Mathematics Teaching at the University of Passo Fundo (https://www.upf.br/ppgecm/dissertacoes-eteses/teses), as well as on the Educapes Portal (http://educapes.capes.gov.br/handle/capes/1174657), ensuring public access and the potential dissemination of research results and products.
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author Hollas, Justiani
author_browse Hollas, Justiani
author_facet Hollas, Justiani
author_role author
collection Repositório Institucional da UPF
dc.contributor.author.fl_str_mv Hollas, Justiani
dc.contributor.none.fl_str_mv Pereira, Luiz Henrique Ferraz
dc.date.none.fl_str_mv 2025-12-08
2026-04-22T11:59:06Z
2026-04-22
dc.format.none.fl_str_mv application/pdf
dc.identifier.uri.fl_str_mv HOLLAS, Justiani. A educação estatística crítica no quinto ano do ensino fundamental. 2025. 186 f. Tese (Doutorado em Ensino de Ciências e Matemática) - Universidade de Passo Fundo, 2025.
https://repositorio.upf.br/handle/123456789/10197
dc.language.iso.fl_str_mv por
dc.publisher.none.fl_str_mv Universidade de Passo Fundo
Brasil
UPF
Programa de Pós-Graduação em Ensino de Ciências e Matemática
Instituto de Humanidades, Ciências, Educação e Criatividade
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
dc.source.none.fl_str_mv reponame:Repositório Institucional da UPF
instname:Universidade de Passo Fundo (UPF)
instacron:UPF
dc.subject.por.fl_str_mv Matemática (Ensino fundamental) - Estudo e ensino
Estatística
Ciências Exatas e da Terra::Matemática
dc.title.none.fl_str_mv A educação estatística crítica no quinto ano do ensino fundamental
dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
description This thesis presents research on Critical Statistical Education, accompanied by an Educational Product consisting of a teaching sequence developed for fifth-grade mathematics classes. The central question guiding the study is: how can we promote statistics teaching in fifth-grade elementary school from a critical perspective? The overall objective of this research is to develop, implement, and analyze a proposal for teaching statistics in fifth-grade elementary school through a teaching sequence that aligns with the theoretical and epistemological assumptions of Critical Statistical Education. From a methodological perspective, this is qualitative research, grounded in Didactic Engineering, as outlined by Artigue (1996). The research sought to meet the following specific objectives: to historically situate the teaching of statistics; to understand the theoretical foundations that underpin this field of teaching; to develop a teaching sequence for fifth-grade elementary school students; and to deepen the understanding of statistical literacy and critical thinking among students. The study emphasizes the fundamentals of statistics teaching, especially in the early years of elementary school, highlighting the importance of addressing the content from the initial stages of schooling. Concurrently, an Educational Product was developed. After implementing the proposal, data analysis was conducted using Discursive Textual Analysis, according to the methodology proposed by Moraes and Galiazzi (2007), using logbooks, video recordings, and photographs as collection tools. The developed Educational Product is presented throughout the thesis and made available as supplementary material, functioning as an additional resource to the textbook, aiming to support teachers in planning and implementing statistics classes. The research is considered a significant contribution to students' critical thinking and to the development of their ability to read the world, especially in the context of the transition between the early and late years of elementary school, a moment considered a significant milestone in basic education. Furthermore, the developed teaching sequence strengthens pedagogical practices and provides theoretical and methodological support to teachers with a degree in Pedagogy. All materials produced are available on the website of the Graduate Program in Science and Mathematics Teaching at the University of Passo Fundo (https://www.upf.br/ppgecm/dissertacoes-eteses/teses), as well as on the Educapes Portal (http://educapes.capes.gov.br/handle/capes/1174657), ensuring public access and the potential dissemination of research results and products.
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identifier_str_mv HOLLAS, Justiani. A educação estatística crítica no quinto ano do ensino fundamental. 2025. 186 f. Tese (Doutorado em Ensino de Ciências e Matemática) - Universidade de Passo Fundo, 2025.
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publisher.none.fl_str_mv Universidade de Passo Fundo
Brasil
UPF
Programa de Pós-Graduação em Ensino de Ciências e Matemática
Instituto de Humanidades, Ciências, Educação e Criatividade
reponame_str Repositório Institucional da UPF
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spelling A educação estatística crítica no quinto ano do ensino fundamentalMatemática (Ensino fundamental) - Estudo e ensinoEstatísticaCiências Exatas e da Terra::MatemáticaThis thesis presents research on Critical Statistical Education, accompanied by an Educational Product consisting of a teaching sequence developed for fifth-grade mathematics classes. The central question guiding the study is: how can we promote statistics teaching in fifth-grade elementary school from a critical perspective? The overall objective of this research is to develop, implement, and analyze a proposal for teaching statistics in fifth-grade elementary school through a teaching sequence that aligns with the theoretical and epistemological assumptions of Critical Statistical Education. From a methodological perspective, this is qualitative research, grounded in Didactic Engineering, as outlined by Artigue (1996). The research sought to meet the following specific objectives: to historically situate the teaching of statistics; to understand the theoretical foundations that underpin this field of teaching; to develop a teaching sequence for fifth-grade elementary school students; and to deepen the understanding of statistical literacy and critical thinking among students. The study emphasizes the fundamentals of statistics teaching, especially in the early years of elementary school, highlighting the importance of addressing the content from the initial stages of schooling. Concurrently, an Educational Product was developed. After implementing the proposal, data analysis was conducted using Discursive Textual Analysis, according to the methodology proposed by Moraes and Galiazzi (2007), using logbooks, video recordings, and photographs as collection tools. The developed Educational Product is presented throughout the thesis and made available as supplementary material, functioning as an additional resource to the textbook, aiming to support teachers in planning and implementing statistics classes. The research is considered a significant contribution to students' critical thinking and to the development of their ability to read the world, especially in the context of the transition between the early and late years of elementary school, a moment considered a significant milestone in basic education. Furthermore, the developed teaching sequence strengthens pedagogical practices and provides theoretical and methodological support to teachers with a degree in Pedagogy. All materials produced are available on the website of the Graduate Program in Science and Mathematics Teaching at the University of Passo Fundo (https://www.upf.br/ppgecm/dissertacoes-eteses/teses), as well as on the Educapes Portal (http://educapes.capes.gov.br/handle/capes/1174657), ensuring public access and the potential dissemination of research results and products.RESUMO Esta tese apresenta uma investigação acerca da Educação Estatística Crítica, acompanhada de um Produto Educacional constituído por uma sequência didática elaborada para as aulas de Matemática do quinto ano do Ensino Fundamental. A questão central que orienta o estudo é: como promover um ensino de estatística, no 5º ano do Ensino Fundamental, em uma perspectiva crítica? O objetivo geral da pesquisa consiste em desenvolver, aplicar e analisar uma proposta de ensino de estatística para o quinto ano do Ensino Fundamental, por meio de uma sequência didática, de modo que esta se alinhe aos pressupostos teóricos e epistemológicos da Educação Estatística Crítica. Do ponto de vista metodológico, trata-se de uma pesquisa de natureza qualitativa, fundamentada na Engenharia Didática, delineada por Artigue (1996). O desenvolvimento da investigação buscou atender aos seguintes objetivos específicos: situar historicamente o ensino da estatística; compreender os fundamentos teóricos que sustentam esse campo de ensino; elaborar uma sequência didática voltada ao quinto ano do Ensino Fundamental; e aprofundar a compreensão acerca do letramento estatístico e da formação crítica dos estudantes. O estudo enfatiza os fundamentos do ensino de estatística, especialmente nos anos iniciais do Ensino Fundamental, destacando a relevância da abordagem do conteúdo desde as etapas iniciais da escolarização. Concomitantemente, desenvolveu-se um Produto Educacional, após a aplicação da proposta, procedeu-se à análise dos dados com base na Análise Textual Discursiva, conforme a metodologia proposta por Moraes e Galiazzi (2007), utilizando como instrumentos de coleta o diário de bordo, gravações em vídeo e registros fotográficos. O Produto Educacional desenvolvido é apresentado ao longo da tese e disponibilizado como material complementar, funcionando como um recurso adicional ao livro didático, com vistas a apoiar o trabalho docente no planejamento e na execução das aulas de estatística. Considerase que a pesquisa contribui de forma significativa para a formação crítica dos estudantes e para o desenvolvimento da capacidade de leitura do mundo, especialmente no contexto de transição entre os Anos Iniciais e os Anos Finais do Ensino Fundamental, momento considerado um marco relevante na formação básica. Além disso, compreende-se que a sequência didática elaborada fortalece as práticas pedagógicas e oferece subsídios teórico-metodológicos aos professores licenciados em Pedagogia. Todo o material produzido encontra-se disponível no site do Programa de Pós-Graduação em Ensino de Ciências e Matemática da Universidade de Passo Fundo (https://www.upf.br/ppgecm/dissertacoes-e-teses/teses), bem como no Portal Educapes (http://educapes.capes.gov.br/handle/capes/1174657), assegurando o acesso público e a potencial disseminação dos resultados e produtos da pesquisa.Universidade de Passo FundoBrasilUPFPrograma de Pós-Graduação em Ensino de Ciências e MatemáticaInstituto de Humanidades, Ciências, Educação e CriatividadePereira, Luiz Henrique FerrazHollas, Justiani2026-04-22T11:59:06Z2026-04-222025-12-08info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisapplication/pdfHOLLAS, Justiani. A educação estatística crítica no quinto ano do ensino fundamental. 2025. 186 f. Tese (Doutorado em Ensino de Ciências e Matemática) - Universidade de Passo Fundo, 2025.https://repositorio.upf.br/handle/123456789/10197porinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UPFinstname:Universidade de Passo Fundo (UPF)instacron:UPF2026-04-23T03:01:28Zoai:repositorio.upf.br:123456789/10197Repositório InstitucionalPRIhttp://repositorio.upf.br/oai/requestjucelei@upf.br||biblio@upf.bropendoar:16102026-04-23T03:01:28Repositório Institucional da UPF - Universidade de Passo Fundo (UPF)
spellingShingle A educação estatística crítica no quinto ano do ensino fundamental
Hollas, Justiani
Matemática (Ensino fundamental) - Estudo e ensino
Estatística
Ciências Exatas e da Terra::Matemática
status_str publishedVersion
title A educação estatística crítica no quinto ano do ensino fundamental
title_full A educação estatística crítica no quinto ano do ensino fundamental
title_fullStr A educação estatística crítica no quinto ano do ensino fundamental
title_full_unstemmed A educação estatística crítica no quinto ano do ensino fundamental
title_short A educação estatística crítica no quinto ano do ensino fundamental
title_sort A educação estatística crítica no quinto ano do ensino fundamental
topic Matemática (Ensino fundamental) - Estudo e ensino
Estatística
Ciências Exatas e da Terra::Matemática
url https://repositorio.upf.br/handle/123456789/10197