O uso das construções geométricas no ensino de conceitos básicos da geometria Euclidiana

Detalhes bibliográficos
Ano de defesa: 2023
Autor(a) principal: COSTA , Benilson da Silva lattes
Orientador(a): SILVA, Jairo Santos da lattes
Banca de defesa: SILVA, Jairo Santos da lattes, MORALES, Gerard John Alva lattes, PEREIRA, Junior Augusto
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Universidade Federal do Maranhão
Programa de Pós-Graduação: PROGRAMA DE PÓS-GRADUAÇÃO EM REDE - MATEMÁTICA EM REDE NACIONAL/CCET
Departamento: DEPARTAMENTO DE MATEMÁTICA/CCET
País: Brasil
Palavras-chave em Português:
geometria Euclidiana;
ensino de geometria;
construções geométricas;
régua e compasso;
Palavras-chave em Inglês:
Euclidean geometry;
teaching of geometry;
geometric constructions;
ruler and compass.
Área do conhecimento CNPq:
Matemática
Link de acesso: https://riufma.ufma.br/handle/tede/5659
Resumo: The present work aims to present an approach for teaching Euclidean Geometry using geometric constructions as an auxiliary tool for the visualization of more theoretical and abstract concepts, also helping in the understanding of the basic concepts of Euclidean Geometry. Through a historical approach, it is possible to testify that in Brazil, the teaching of Geometry never had relevance deserved and these studies are almost always dissociated from geometric constructions. This paper shows the influences that the Teaching of Mathematics suffered over the years and how, mainly, the teaching of Geometry was affected by the Modern Mathematics Movement (MMM). By presenting the contents of Geometry together with geometric constructions only proves that these studies should be inseparable. Finally, this author presents a resolution of problems found in the National Common Curricular Base (BNCC) with help of geometric constructions.
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spelling 2024-11-29T03:44:14Z2026-09-19T16:26:38Z2023-08-30COSTA , Benilson da Silva. O uso das construções geométricas no ensino de conceitos básicos da geometria Euclidiana. 2023. 76 f. Dissertação (Programa de Pós-Graduação em Rede - Matemática em Rede Nacional/CCET) - Universidade Federal do Maranhão, São Luís, 2023.https://riufma.ufma.br/handle/tede/5659The present work aims to present an approach for teaching Euclidean Geometry using geometric constructions as an auxiliary tool for the visualization of more theoretical and abstract concepts, also helping in the understanding of the basic concepts of Euclidean Geometry. Through a historical approach, it is possible to testify that in Brazil, the teaching of Geometry never had relevance deserved and these studies are almost always dissociated from geometric constructions. This paper shows the influences that the Teaching of Mathematics suffered over the years and how, mainly, the teaching of Geometry was affected by the Modern Mathematics Movement (MMM). By presenting the contents of Geometry together with geometric constructions only proves that these studies should be inseparable. Finally, this author presents a resolution of problems found in the National Common Curricular Base (BNCC) with help of geometric constructions.O presente trabalho tem por objetivo apresentar uma abordagem para o ensino da Geome tria Euclidiana utilizando as construções geométricas como uma ferramenta auxiliadora para a visualização de conceitos mais teóricos e abstratos, ajudando também na compre ensão dos próprios conceitos básicos da Geometria Euclidiana. Por meio de um recorte histórico, mostra-se como ensino da Geometria, no Brasil, nunca teve a relevância que deveria ter e que, quase sempre esteve dissociado das construções geométricas. O trabalho traz as influências que o Ensino da Matemática sofreu ao longo dos anos e como, princi palmente, o ensino da Geometria foi afetada pelo Movimento da Matemática Moderna (MMM). Ao apresentar os conteúdos da Geometria junto com as construções geométricas, mostra-se que ambas devem estar sempre juntas e são indissociáveis. Por fim, apresenta-se a resolução de problemas presentes na Base nacional Comum Curricular (BNCC) com auxilio das construções geométricas.CAPESapplication/pdfporUniversidade Federal do MaranhãoPROGRAMA DE PÓS-GRADUAÇÃO EM REDE - MATEMÁTICA EM REDE NACIONAL/CCETUFMABrasilDEPARTAMENTO DE MATEMÁTICA/CCETgeometria Euclidiana;ensino de geometria;construções geométricas;régua e compasso;Euclidean geometry;teaching of geometry;geometric constructions;ruler and compass.MatemáticaO uso das construções geométricas no ensino de conceitos básicos da geometria EuclidianaThe use of geometric constructions in teaching basic concepts of Euclidean geometryinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisSILVA, Jairo Santos dahttp://lattes.cnpq.br/5545833756032482SILVA, Jairo Santos dahttp://lattes.cnpq.br/5545833756032482MORALES, Gerard John Alvahttp://lattes.cnpq.br/0578914919461653PEREIRA, Junior Augustohttp://lattes.cnpq.br/3306764269843656COSTA , Benilson da Silvainfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFMAinstname:Universidade Federal do Maranhão (UFMA)instacron:UFMALICENSElicense.txttext/plain; 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dc.title.por.fl_str_mv O uso das construções geométricas no ensino de conceitos básicos da geometria Euclidiana
dc.title.alternative.eng.fl_str_mv The use of geometric constructions in teaching basic concepts of Euclidean geometry
title O uso das construções geométricas no ensino de conceitos básicos da geometria Euclidiana
spellingShingle O uso das construções geométricas no ensino de conceitos básicos da geometria Euclidiana
COSTA , Benilson da Silva
geometria Euclidiana;
ensino de geometria;
construções geométricas;
régua e compasso;
Euclidean geometry;
teaching of geometry;
geometric constructions;
ruler and compass.
Matemática
title_short O uso das construções geométricas no ensino de conceitos básicos da geometria Euclidiana
title_full O uso das construções geométricas no ensino de conceitos básicos da geometria Euclidiana
title_fullStr O uso das construções geométricas no ensino de conceitos básicos da geometria Euclidiana
title_full_unstemmed O uso das construções geométricas no ensino de conceitos básicos da geometria Euclidiana
title_sort O uso das construções geométricas no ensino de conceitos básicos da geometria Euclidiana
author COSTA , Benilson da Silva
author_facet COSTA , Benilson da Silva
author_role author
dc.contributor.advisor1.fl_str_mv SILVA, Jairo Santos da
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/5545833756032482
dc.contributor.referee1.fl_str_mv SILVA, Jairo Santos da
dc.contributor.referee1Lattes.fl_str_mv http://lattes.cnpq.br/5545833756032482
dc.contributor.referee2.fl_str_mv MORALES, Gerard John Alva
dc.contributor.referee2Lattes.fl_str_mv http://lattes.cnpq.br/0578914919461653
dc.contributor.referee3.fl_str_mv PEREIRA, Junior Augusto
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/3306764269843656
dc.contributor.author.fl_str_mv COSTA , Benilson da Silva
contributor_str_mv SILVA, Jairo Santos da
SILVA, Jairo Santos da
MORALES, Gerard John Alva
PEREIRA, Junior Augusto
dc.subject.por.fl_str_mv geometria Euclidiana;
ensino de geometria;
construções geométricas;
régua e compasso;
topic geometria Euclidiana;
ensino de geometria;
construções geométricas;
régua e compasso;
Euclidean geometry;
teaching of geometry;
geometric constructions;
ruler and compass.
Matemática
dc.subject.eng.fl_str_mv Euclidean geometry;
teaching of geometry;
geometric constructions;
ruler and compass.
dc.subject.cnpq.fl_str_mv Matemática
description The present work aims to present an approach for teaching Euclidean Geometry using geometric constructions as an auxiliary tool for the visualization of more theoretical and abstract concepts, also helping in the understanding of the basic concepts of Euclidean Geometry. Through a historical approach, it is possible to testify that in Brazil, the teaching of Geometry never had relevance deserved and these studies are almost always dissociated from geometric constructions. This paper shows the influences that the Teaching of Mathematics suffered over the years and how, mainly, the teaching of Geometry was affected by the Modern Mathematics Movement (MMM). By presenting the contents of Geometry together with geometric constructions only proves that these studies should be inseparable. Finally, this author presents a resolution of problems found in the National Common Curricular Base (BNCC) with help of geometric constructions.
publishDate 2023
dc.date.issued.fl_str_mv 2023-08-30
dc.date.accessioned.fl_str_mv 2024-11-29T03:44:14Z
2026-09-19T16:26:38Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv COSTA , Benilson da Silva. O uso das construções geométricas no ensino de conceitos básicos da geometria Euclidiana. 2023. 76 f. Dissertação (Programa de Pós-Graduação em Rede - Matemática em Rede Nacional/CCET) - Universidade Federal do Maranhão, São Luís, 2023.
dc.identifier.uri.fl_str_mv https://riufma.ufma.br/handle/tede/5659
identifier_str_mv COSTA , Benilson da Silva. O uso das construções geométricas no ensino de conceitos básicos da geometria Euclidiana. 2023. 76 f. Dissertação (Programa de Pós-Graduação em Rede - Matemática em Rede Nacional/CCET) - Universidade Federal do Maranhão, São Luís, 2023.
url https://riufma.ufma.br/handle/tede/5659
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal do Maranhão
dc.publisher.program.fl_str_mv PROGRAMA DE PÓS-GRADUAÇÃO EM REDE - MATEMÁTICA EM REDE NACIONAL/CCET
dc.publisher.initials.fl_str_mv UFMA
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv DEPARTAMENTO DE MATEMÁTICA/CCET
publisher.none.fl_str_mv Universidade Federal do Maranhão
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFMA
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instname_str Universidade Federal do Maranhão (UFMA)
instacron_str UFMA
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reponame_str Repositório Institucional da UFMA
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