Explorando a relação de Euler: um relato de experiência com oficinas educativas no ensino de geometria espacial
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| Autor principal: | |
|---|---|
| Data de publicació: | 2025 |
| Format: | Master thesis |
| Idioma: | por |
| Font: | Repositório Institucional da UFG |
| Download full: | https://repositorio.bc.ufg.br/tede/handle/tede/14562 |
Sumari: | The teaching of Spatial Geometry in Brazil faces challenges related to the lack of appropriate teaching methodologies, often failing to systematically explore visualization, construction, and manipulation of three-dimensional forms and objects, hindering students' learning process. The predominance of traditional and theoretical approaches, usually employing two-dimensional representations of three-dimensional figures on media such as blackboards or textbooks, contributes to student demotivation and difficulty in developing spatial reasoning. Based on studies developed in the field of education and mathematics teaching, this research investigates the impact of educational workshops on the teaching of Spatial Geometry with 9th-grade students at Dalka Leles Municipal School, in Goiânia. The methodology adopted is qualitative, focusing on practical activities and manipulable materials to explore concepts such as faces, vertices, and edges of polyhedra, as well as Euler’s relation identified in convex polyhedra in general. It is expected that this research will contribute to the adoption of more dynamic and interactive methodologies, fostering more effective learning and stimulating student interest in mathematics. |
| _version_ | 1871426369656717312 |
|---|---|
| author | Silva, Alessandro Ferreira da |
| author_browse | Silva, Alessandro Ferreira da |
| author_facet | Silva, Alessandro Ferreira da |
| author_role | author |
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| collection | Repositório Institucional da UFG |
| contributor_str_mv | Reis, Hiuri Fellipe Santos dos Hiuri Fellipe Santos dos Reis, Hiuri Fellipe Santos dos Silva, Sunamita Souza Silva, Fábio Nunes da |
| dc.contributor.advisor-co2.fl_str_mv | Hiuri Fellipe Santos dos |
| dc.contributor.advisor1.fl_str_mv | Reis, Hiuri Fellipe Santos dos |
| dc.contributor.advisor1Lattes.fl_str_mv | http://lattes.cnpq.br/9444154235787960 |
| dc.contributor.author.fl_str_mv | Silva, Alessandro Ferreira da |
| dc.contributor.authorLattes.fl_str_mv | http://lattes.cnpq.br/9211647715515206 |
| dc.contributor.referee1.fl_str_mv | Reis, Hiuri Fellipe Santos dos |
| dc.contributor.referee2.fl_str_mv | Silva, Sunamita Souza |
| dc.contributor.referee3.fl_str_mv | Silva, Fábio Nunes da |
| dc.date.accessioned.fl_str_mv | 2025-08-04T15:32:22Z |
| dc.date.available.fl_str_mv | 2025-08-04T15:32:22Z |
| dc.date.issued.fl_str_mv | 2025-07-04 |
| dc.identifier.uri.fl_str_mv | https://repositorio.bc.ufg.br/tede/handle/tede/14562 |
| dc.language.iso.fl_str_mv | por |
| dc.publisher.country.fl_str_mv | Brasil |
| dc.publisher.department.fl_str_mv | Instituto de Matemática e Estatística - IME (RMG) |
| dc.publisher.initials.fl_str_mv | UFG |
| dc.publisher.none.fl_str_mv | Universidade Federal de Goiás |
| dc.publisher.program.fl_str_mv | PROFMAT - Programa de Pós-graduação em Matemática em Rede Nacional - Sociedade Brasileira de Matemática (IME) |
| dc.relation.references.none.fl_str_mv | SILVA, A. F. Explorando a relação de Euler: um relato de experiência com oficinas educativas no ensino de geometria espacial. 2025. 105 f. Dissertação (Mestrado em Matemática) - Instituto de Matemática e Estatística, Universidade Federal de Goiás, Goiânia, 2025. |
| dc.rights.driver.fl_str_mv | http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:Repositório Institucional da UFG instname:Universidade Federal de Goiás (UFG) instacron:UFG |
| dc.subject.cnpq.fl_str_mv | CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| dc.subject.eng.fl_str_mv | Spatial geometry Mathematics education Educational workshops Manipulable materials Geometric reasoning |
| dc.subject.por.fl_str_mv | Geometria espacial Ensino de matemática Oficinas educativas Materiais manipuláveis Pensamento geométrico |
| dc.title.alternative.eng.fl_str_mv | Exploring Euler's formula: an experience report with educational workshops in the teaching of spatial geometry |
| dc.title.none.fl_str_mv | Explorando a relação de Euler: um relato de experiência com oficinas educativas no ensino de geometria espacial |
| dc.type.driver.fl_str_mv | info:eu-repo/semantics/masterThesis |
| dc.type.status.fl_str_mv | info:eu-repo/semantics/publishedVersion |
| description | The teaching of Spatial Geometry in Brazil faces challenges related to the lack of appropriate teaching methodologies, often failing to systematically explore visualization, construction, and manipulation of three-dimensional forms and objects, hindering students' learning process. The predominance of traditional and theoretical approaches, usually employing two-dimensional representations of three-dimensional figures on media such as blackboards or textbooks, contributes to student demotivation and difficulty in developing spatial reasoning. Based on studies developed in the field of education and mathematics teaching, this research investigates the impact of educational workshops on the teaching of Spatial Geometry with 9th-grade students at Dalka Leles Municipal School, in Goiânia. The methodology adopted is qualitative, focusing on practical activities and manipulable materials to explore concepts such as faces, vertices, and edges of polyhedra, as well as Euler’s relation identified in convex polyhedra in general. It is expected that this research will contribute to the adoption of more dynamic and interactive methodologies, fostering more effective learning and stimulating student interest in mathematics. |
| eu_rights_str_mv | openAccess |
| format | masterThesis |
| id | UFG-2_6b31061bee4e875b2a419da3f71d4afd |
| instacron_str | UFG |
| institution | UFG |
| instname_str | Universidade Federal de Goiás (UFG) |
| language | por |
| network_acronym_str | UFG-2 |
| network_name_str | Repositório Institucional da UFG |
| oai_identifier_str | oai:repositorio.bc.ufg.br:tede/14562 |
| publishDate | 2025 |
| publishDateSort | 2025 |
| publisher.none.fl_str_mv | Universidade Federal de Goiás |
| reponame_str | Repositório Institucional da UFG |
| repository.mail.fl_str_mv | grt.bc@ufg.br |
| repository.name.fl_str_mv | Repositório Institucional da UFG - Universidade Federal de Goiás (UFG) |
| repository_id_str | oai:repositorio.bc.ufg.br:tede/1234 |
| rights_invalid_str_mv | http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| spelling | Reis, Hiuri Fellipe Santos doshttp://lattes.cnpq.br/9444154235787960Hiuri Fellipe Santos dosReis, Hiuri Fellipe Santos dosSilva, Sunamita SouzaSilva, Fábio Nunes dahttp://lattes.cnpq.br/9211647715515206Silva, Alessandro Ferreira da2025-08-04T15:32:22Z2025-08-04T15:32:22Z2025-07-04https://repositorio.bc.ufg.br/tede/handle/tede/14562The teaching of Spatial Geometry in Brazil faces challenges related to the lack of appropriate teaching methodologies, often failing to systematically explore visualization, construction, and manipulation of three-dimensional forms and objects, hindering students' learning process. The predominance of traditional and theoretical approaches, usually employing two-dimensional representations of three-dimensional figures on media such as blackboards or textbooks, contributes to student demotivation and difficulty in developing spatial reasoning. Based on studies developed in the field of education and mathematics teaching, this research investigates the impact of educational workshops on the teaching of Spatial Geometry with 9th-grade students at Dalka Leles Municipal School, in Goiânia. The methodology adopted is qualitative, focusing on practical activities and manipulable materials to explore concepts such as faces, vertices, and edges of polyhedra, as well as Euler’s relation identified in convex polyhedra in general. It is expected that this research will contribute to the adoption of more dynamic and interactive methodologies, fostering more effective learning and stimulating student interest in mathematics.O ensino da Geometria Espacial no Brasil enfrenta desafios relacionados à falta de metodologias de ensino adequadas, e geralmente não explora de forma sistemática a visualização, construção e manipulação de formas e objetos tridimensionais, dificultando o processo de aprendizagem dos alunos. A predominância de abordagens teóricas e tradicionais, utilizando-se de representações tridimensionais em meios bidimensionais, como a lousa ou o livro didático, contribui para a desmotivação e a dificuldade na construção do pensamento espacial. Com base em estudos desenvolvidos na área da educação e do ensino de matemática, esta pesquisa investiga o impacto do uso de oficinas educativas no ensino da Geometria Espacial em turmas do 8º ano do ensino fundamental da Escola Municipal Dalka Leles, em Goiânia. A metodologia adotada é qualitativa, com foco na aplicação de atividades práticas e materiais manipuláveis para explorar conceitos como faces, vértices e arestas em poliedros e a Relação de Euler identificada em poliedros convexos em geral. Espera-se que a pesquisa contribua para a adoção de metodologias mais dinâmicas e interativas, promovendo uma aprendizagem mais efetiva e que estimule o interesse dos alunos pela Matemática.Universidade Federal de GoiásPROFMAT - Programa de Pós-graduação em Matemática em Rede Nacional - Sociedade Brasileira de Matemática (IME)UFGBrasilInstituto de Matemática e Estatística - IME (RMG)SILVA, A. F. Explorando a relação de Euler: um relato de experiência com oficinas educativas no ensino de geometria espacial. 2025. 105 f. Dissertação (Mestrado em Matemática) - Instituto de Matemática e Estatística, Universidade Federal de Goiás, Goiânia, 2025.http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessGeometria espacialEnsino de matemáticaOficinas educativasMateriais manipuláveisPensamento geométricoSpatial geometryMathematics educationEducational workshopsManipulable materialsGeometric reasoningCIENCIAS EXATAS E DA TERRA::MATEMATICAExplorando a relação de Euler: um relato de experiência com oficinas educativas no ensino de geometria espacialExploring Euler's formula: an experience report with educational workshops in the teaching of spatial geometryinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisporreponame:Repositório Institucional da UFGinstname:Universidade Federal de Goiás (UFG)instacron:UFGLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorio.bc.ufg.br/tede/bitstreams/a79cd4e0-63e0-4de8-ba64-69b6f6e14ca1/download8a4605be74aa9ea9d79846c1fba20a33MD51ORIGINALDissertação - Alessandro Ferreira da Silva - 2025.pdfDissertação - Alessandro Ferreira da Silva - 2025.pdfapplication/pdf2919672https://repositorio.bc.ufg.br/tede/bitstreams/92179c9e-23e4-420b-8bb4-81d39f49b91e/downloadba1efcdbcd236f75ed2a0e77abc66a58MD52CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805https://repositorio.bc.ufg.br/tede/bitstreams/8e275042-15c8-4ed4-ae3c-fbd6004d04ea/download4460e5956bc1d1639be9ae6146a50347MD53tede/145622025-08-04 12:32:22.944http://creativecommons.org/licenses/by-nc-nd/4.0/Acesso Abertoopen.accessoai:repositorio.bc.ufg.br:tede/14562https://repositorio.bc.ufg.br/tedeRepositório InstitucionalPUBhttps://repositorio.bc.ufg.br/tedeserver/oai/requestgrt.bc@ufg.bropendoar:oai:repositorio.bc.ufg.br:tede/12342025-08-04T15:32:22Repositório Institucional da UFG - Universidade Federal de Goiás (UFG)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 |
| spellingShingle | Explorando a relação de Euler: um relato de experiência com oficinas educativas no ensino de geometria espacial Silva, Alessandro Ferreira da Geometria espacial Ensino de matemática Oficinas educativas Materiais manipuláveis Pensamento geométrico Spatial geometry Mathematics education Educational workshops Manipulable materials Geometric reasoning CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| status_str | publishedVersion |
| title | Explorando a relação de Euler: um relato de experiência com oficinas educativas no ensino de geometria espacial |
| title_full | Explorando a relação de Euler: um relato de experiência com oficinas educativas no ensino de geometria espacial |
| title_fullStr | Explorando a relação de Euler: um relato de experiência com oficinas educativas no ensino de geometria espacial |
| title_full_unstemmed | Explorando a relação de Euler: um relato de experiência com oficinas educativas no ensino de geometria espacial |
| title_short | Explorando a relação de Euler: um relato de experiência com oficinas educativas no ensino de geometria espacial |
| title_sort | Explorando a relação de Euler: um relato de experiência com oficinas educativas no ensino de geometria espacial |
| topic | Geometria espacial Ensino de matemática Oficinas educativas Materiais manipuláveis Pensamento geométrico Spatial geometry Mathematics education Educational workshops Manipulable materials Geometric reasoning CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| url | https://repositorio.bc.ufg.br/tede/handle/tede/14562 |