A compreensão do teorema de Pitágoras pelos alunos com deficiência visual: um estudo sobre as representações semióticas em geometria

Detalhes bibliográficos
Ano de defesa: 2022
Autor(a) principal: Damaceno, Érica Francielle Moreira lattes
Orientador(a): Faria, Elisabeth Cristina de lattes
Banca de defesa: Faria, Elisabeth Cristina de, Gonçalves Junior, Marcos Antônio, Santos, Maria Bethânia Sardeiro dos, Guadaguinini, Míriam do Rócio
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Universidade Federal de Goiás
Programa de Pós-Graduação: Programa de Pós-graduação em Ensino na Educação Básica (CEPAE)
Departamento: Centro de Ensino e Pesquisa Aplicada à Educação - CEPAE (RG)
País: Brasil
Palavras-chave em Português:
Palavras-chave em Inglês:
Área do conhecimento CNPq:
Link de acesso: http://repositorio.bc.ufg.br/tede/handle/tede/12485
Resumo: This research aims to understand how visually impaired students interact with the various representation registers and how they articulate them in mathematical activities on the Pythagorean Theorem. It was developed within the framework of the professional Master’s degree in Elementary Education Teaching of the Stricto Sensu Graduate Program at CEPAE-UFG. With contributions from the Theory of Register of Semiotic Representation (TRSR), we based on Duval (2012, 2017) and Almouloud (2003, 2004, 2016, 2017) and also on the contributions of Mello (2013, 2015) and Fernandes (2004, 2007, 2008) on the teaching of mathematics to visually impaired students in the contexto of TRSR, and Lorenzato (1995, 2015) and Kallef (1994, 2012, 2016) with contributions on the teaching of geometry. The proposed research is of a qualitative nature, according to Bogdan, Biklen (1986), Ludke, André, (1986) and Triviños (1987), with an analysis method according to Fiorentini and Lorenzato (2009). Interviews with students with total blindness were used as a collection instrument, seeking to understand how they learned the Pythagorean Theorem and the representations associated with geometry. Mathematics teachers of visually impaired students were also interviewed, seeking to investigate how the Pythagorean Theorem is taught and what resources these teachers use in the teaching-learning of these students. The analysis verified how much tactile resources are fundamental for the visualization of geometric figures for students with visual impairment and also how important is the description of images and concepts associated with the content. The way of describing the algebraic representations is also fundamental for the blind student to follow the teaching in the classroom correctly. With the research data, observing the way students interact and articulate with registers of representation in mathematics, it was possible to elaborate two educational products: an educational podcast, whose title is “Talking about the Pythagorean theorem: problems and applications” and a pedagogical notebook for the teacher, whose title is: “Teaching proposals for students with visual impairment”, containing activities involving the Theorem, and observing the study of representations and specificities for teaching blind students.
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spelling Faria, Elisabeth Cristina dehttp://lattes.cnpq.br/5007480938176936Faria, Elisabeth Cristina deGonçalves Junior, Marcos AntônioSantos, Maria Bethânia Sardeiro dosGuadaguinini, Míriam do Róciohttp://lattes.cnpq.br/4607587716198016Damaceno, Érica Francielle Moreira2022-12-14T15:43:37Z2022-12-14T15:43:37Z2022-08-31DAMACENO, É. F. M. A compreensão do teorema de Pitágoras pelos alunos com deficiência visual: um estudo sobre as representações semióticas em geometria. 2022. 239 f. Dissertação (Mestrado em Ensino na Educação Básica) - Universidade Federal de Goiás, Goiânia, 2022.http://repositorio.bc.ufg.br/tede/handle/tede/12485This research aims to understand how visually impaired students interact with the various representation registers and how they articulate them in mathematical activities on the Pythagorean Theorem. It was developed within the framework of the professional Master’s degree in Elementary Education Teaching of the Stricto Sensu Graduate Program at CEPAE-UFG. With contributions from the Theory of Register of Semiotic Representation (TRSR), we based on Duval (2012, 2017) and Almouloud (2003, 2004, 2016, 2017) and also on the contributions of Mello (2013, 2015) and Fernandes (2004, 2007, 2008) on the teaching of mathematics to visually impaired students in the contexto of TRSR, and Lorenzato (1995, 2015) and Kallef (1994, 2012, 2016) with contributions on the teaching of geometry. The proposed research is of a qualitative nature, according to Bogdan, Biklen (1986), Ludke, André, (1986) and Triviños (1987), with an analysis method according to Fiorentini and Lorenzato (2009). Interviews with students with total blindness were used as a collection instrument, seeking to understand how they learned the Pythagorean Theorem and the representations associated with geometry. Mathematics teachers of visually impaired students were also interviewed, seeking to investigate how the Pythagorean Theorem is taught and what resources these teachers use in the teaching-learning of these students. The analysis verified how much tactile resources are fundamental for the visualization of geometric figures for students with visual impairment and also how important is the description of images and concepts associated with the content. The way of describing the algebraic representations is also fundamental for the blind student to follow the teaching in the classroom correctly. With the research data, observing the way students interact and articulate with registers of representation in mathematics, it was possible to elaborate two educational products: an educational podcast, whose title is “Talking about the Pythagorean theorem: problems and applications” and a pedagogical notebook for the teacher, whose title is: “Teaching proposals for students with visual impairment”, containing activities involving the Theorem, and observing the study of representations and specificities for teaching blind students.Esta pesquisa teve por objetivo compreender como alunos com deficiência visual interagem com os diversos registros de representação e como os articulam nas atividades matemáticas sobre o Teorema de Pitágoras. Ela foi desenvolvida no âmbito do Mestrado Profissional em Ensino na Educação Básica do Programa de Pós-Graduação Stricto Sensu do CEPAE/UFG. Com contribuições da Teoria de Registros de Representação Semiótica (TRRS), baseou-se em Duval (2012, 2017) e Almouloud (2003, 2004, 2016, 2017) e também nas contribuições de Mello (2013, 2015) e Fernandes (2004, 2007, 2008) sobre o ensino da matemática para alunos com deficiência visual na TRRS, e Lorenzato (1995, 2015) e Kallef (1994, 2012,2016) com contribuições sobre o ensino da geometria. A pesquisa proposta é de cunho qualitativo, segundo Bogdan, Biklen (1986), Ludke, André, (1986) e Triviños (1987), com método de análise segundo Fiorentini e Lorenzato (2009). Utilizaram-se como instrumento de coleta as entrevistas com alunos com cegueira total, buscando compreender de que forma eles aprenderam o Teorema de Pitágoras e as representações associadas à geometria. Entrevistaram-se, também, professores de matemática de alunos com deficiência visual, buscando investigar como é ensinado o Teorema de Pitágoras e quais recursos esses professores utilizam no ensino-aprendizagem desses alunos. A análise verificou o quanto os recursos táteis são fundamentais para a visualização das figuras geométricas para alunos com deficiência visual e também o quanto é importante a descrição das imagens e dos conceitos associados ao conteúdo. A forma de descrever as representações algébricas também é fundamental para o aluno cego acompanhar bem o ensino em sala de aula. Com os dados da pesquisa, observando a forma como os alunos interagem e articulam com os registros de representação em matemática, foi possível elaborar dois produtos educacionais: um podcast educacional, cujo título é “Conversando sobre o teorema de Pitágoras: problemas e aplicações” e um caderno pedagógico para o professor, cujo título é: “Propostas de ensino para alunos com deficiência visual”, contendo atividades envolvendo o Teorema, observando o estudo das representações e as especificidades para o ensino de alunos cegos.porUniversidade Federal de GoiásPrograma de Pós-graduação em Ensino na Educação Básica (CEPAE)UFGBrasilCentro de Ensino e Pesquisa Aplicada à Educação - CEPAE (RG)Attribution-NonCommercial-NoDerivatives 4.0 Internationalinfo:eu-repo/semantics/openAccessDeficiência visualEducação matemáticaRepresentação semióticaTeorema de PitágorasEnsinoVisual impairmentMathematics educationTeachingSemiotic representationPythagorean theoremCIENCIAS HUMANAS::EDUCACAO::FUNDAMENTOS DA EDUCACAOA compreensão do teorema de Pitágoras pelos alunos com deficiência visual: um estudo sobre as representações semióticas em geometriaThe understanding of the Pythagorean theorem by visually impaired students: a study on semiotic representations in geometryinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis545005005001371reponame:Repositório Institucional da UFGinstname:Universidade Federal de Goiás (UFG)instacron:UFGLICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://repositorio.bc.ufg.br/tede/bitstreams/0d78d6ff-549f-4ebb-8787-2e4231e23a72/download8a4605be74aa9ea9d79846c1fba20a33MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805http://repositorio.bc.ufg.br/tede/bitstreams/e2671785-8bca-4b1a-bb34-21d2bfd52f29/download4460e5956bc1d1639be9ae6146a50347MD52ORIGINALDissertação - Érica Francielle Moreira Damaceno - 2022.pdfDissertação - Érica Francielle Moreira Damaceno - 2022.pdfapplication/pdf4663956http://repositorio.bc.ufg.br/tede/bitstreams/18103bcd-0aab-46a2-b2b6-a201efd8717b/download4321f23af9eeeb46da8e6c969b106b8eMD53tede/124852022-12-14 12:43:38.694http://creativecommons.org/licenses/by-nc-nd/4.0/Attribution-NonCommercial-NoDerivatives 4.0 Internationalopen.accessoai:repositorio.bc.ufg.br:tede/12485http://repositorio.bc.ufg.br/tedeRepositório InstitucionalPUBhttps://repositorio.bc.ufg.br/tedeserver/oai/requestgrt.bc@ufg.bropendoar:oai:repositorio.bc.ufg.br:tede/12342022-12-14T15:43:38Repositório Institucional da UFG - Universidade Federal de Goiás (UFG)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
dc.title.pt_BR.fl_str_mv A compreensão do teorema de Pitágoras pelos alunos com deficiência visual: um estudo sobre as representações semióticas em geometria
dc.title.alternative.eng.fl_str_mv The understanding of the Pythagorean theorem by visually impaired students: a study on semiotic representations in geometry
title A compreensão do teorema de Pitágoras pelos alunos com deficiência visual: um estudo sobre as representações semióticas em geometria
spellingShingle A compreensão do teorema de Pitágoras pelos alunos com deficiência visual: um estudo sobre as representações semióticas em geometria
Damaceno, Érica Francielle Moreira
Deficiência visual
Educação matemática
Representação semiótica
Teorema de Pitágoras
Ensino
Visual impairment
Mathematics education
Teaching
Semiotic representation
Pythagorean theorem
CIENCIAS HUMANAS::EDUCACAO::FUNDAMENTOS DA EDUCACAO
title_short A compreensão do teorema de Pitágoras pelos alunos com deficiência visual: um estudo sobre as representações semióticas em geometria
title_full A compreensão do teorema de Pitágoras pelos alunos com deficiência visual: um estudo sobre as representações semióticas em geometria
title_fullStr A compreensão do teorema de Pitágoras pelos alunos com deficiência visual: um estudo sobre as representações semióticas em geometria
title_full_unstemmed A compreensão do teorema de Pitágoras pelos alunos com deficiência visual: um estudo sobre as representações semióticas em geometria
title_sort A compreensão do teorema de Pitágoras pelos alunos com deficiência visual: um estudo sobre as representações semióticas em geometria
author Damaceno, Érica Francielle Moreira
author_facet Damaceno, Érica Francielle Moreira
author_role author
dc.contributor.advisor1.fl_str_mv Faria, Elisabeth Cristina de
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/5007480938176936
dc.contributor.referee1.fl_str_mv Faria, Elisabeth Cristina de
dc.contributor.referee2.fl_str_mv Gonçalves Junior, Marcos Antônio
dc.contributor.referee3.fl_str_mv Santos, Maria Bethânia Sardeiro dos
dc.contributor.referee4.fl_str_mv Guadaguinini, Míriam do Rócio
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/4607587716198016
dc.contributor.author.fl_str_mv Damaceno, Érica Francielle Moreira
contributor_str_mv Faria, Elisabeth Cristina de
Faria, Elisabeth Cristina de
Gonçalves Junior, Marcos Antônio
Santos, Maria Bethânia Sardeiro dos
Guadaguinini, Míriam do Rócio
dc.subject.por.fl_str_mv Deficiência visual
Educação matemática
Representação semiótica
Teorema de Pitágoras
Ensino
topic Deficiência visual
Educação matemática
Representação semiótica
Teorema de Pitágoras
Ensino
Visual impairment
Mathematics education
Teaching
Semiotic representation
Pythagorean theorem
CIENCIAS HUMANAS::EDUCACAO::FUNDAMENTOS DA EDUCACAO
dc.subject.eng.fl_str_mv Visual impairment
Mathematics education
Teaching
Semiotic representation
Pythagorean theorem
dc.subject.cnpq.fl_str_mv CIENCIAS HUMANAS::EDUCACAO::FUNDAMENTOS DA EDUCACAO
description This research aims to understand how visually impaired students interact with the various representation registers and how they articulate them in mathematical activities on the Pythagorean Theorem. It was developed within the framework of the professional Master’s degree in Elementary Education Teaching of the Stricto Sensu Graduate Program at CEPAE-UFG. With contributions from the Theory of Register of Semiotic Representation (TRSR), we based on Duval (2012, 2017) and Almouloud (2003, 2004, 2016, 2017) and also on the contributions of Mello (2013, 2015) and Fernandes (2004, 2007, 2008) on the teaching of mathematics to visually impaired students in the contexto of TRSR, and Lorenzato (1995, 2015) and Kallef (1994, 2012, 2016) with contributions on the teaching of geometry. The proposed research is of a qualitative nature, according to Bogdan, Biklen (1986), Ludke, André, (1986) and Triviños (1987), with an analysis method according to Fiorentini and Lorenzato (2009). Interviews with students with total blindness were used as a collection instrument, seeking to understand how they learned the Pythagorean Theorem and the representations associated with geometry. Mathematics teachers of visually impaired students were also interviewed, seeking to investigate how the Pythagorean Theorem is taught and what resources these teachers use in the teaching-learning of these students. The analysis verified how much tactile resources are fundamental for the visualization of geometric figures for students with visual impairment and also how important is the description of images and concepts associated with the content. The way of describing the algebraic representations is also fundamental for the blind student to follow the teaching in the classroom correctly. With the research data, observing the way students interact and articulate with registers of representation in mathematics, it was possible to elaborate two educational products: an educational podcast, whose title is “Talking about the Pythagorean theorem: problems and applications” and a pedagogical notebook for the teacher, whose title is: “Teaching proposals for students with visual impairment”, containing activities involving the Theorem, and observing the study of representations and specificities for teaching blind students.
publishDate 2022
dc.date.accessioned.fl_str_mv 2022-12-14T15:43:37Z
dc.date.available.fl_str_mv 2022-12-14T15:43:37Z
dc.date.issued.fl_str_mv 2022-08-31
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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dc.identifier.citation.fl_str_mv DAMACENO, É. F. M. A compreensão do teorema de Pitágoras pelos alunos com deficiência visual: um estudo sobre as representações semióticas em geometria. 2022. 239 f. Dissertação (Mestrado em Ensino na Educação Básica) - Universidade Federal de Goiás, Goiânia, 2022.
dc.identifier.uri.fl_str_mv http://repositorio.bc.ufg.br/tede/handle/tede/12485
identifier_str_mv DAMACENO, É. F. M. A compreensão do teorema de Pitágoras pelos alunos com deficiência visual: um estudo sobre as representações semióticas em geometria. 2022. 239 f. Dissertação (Mestrado em Ensino na Educação Básica) - Universidade Federal de Goiás, Goiânia, 2022.
url http://repositorio.bc.ufg.br/tede/handle/tede/12485
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dc.rights.driver.fl_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
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dc.publisher.none.fl_str_mv Universidade Federal de Goiás
dc.publisher.program.fl_str_mv Programa de Pós-graduação em Ensino na Educação Básica (CEPAE)
dc.publisher.initials.fl_str_mv UFG
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dc.publisher.department.fl_str_mv Centro de Ensino e Pesquisa Aplicada à Educação - CEPAE (RG)
publisher.none.fl_str_mv Universidade Federal de Goiás
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