A geometria esférica e a distância entre dois pontos do globo na perspectiva do GeoGebra

Detalhes bibliográficos
Ano de defesa: 2018
Autor(a) principal: Uchôa, Francisco José Santos
Orientador(a): Nunes, José Valter Lopes
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Não Informado pela instituição
Programa de Pós-Graduação: Não Informado pela instituição
Departamento: Não Informado pela instituição
País: Não Informado pela instituição
Palavras-chave em Português:
Geometria não-Euclidiana
GeoGebra
Ensino Médio
Non-Euclidean geometry
High school
Link de acesso: http://www.repositorio.ufc.br/handle/riufc/36871
Resumo: The present work is characterized by an exploratory and descriptive study of a qualitative nature of cross-sectional design. The research period was held in 2017 with the participation of high school students from a private school in the city of Fortaleza. The objective of this study was to promote the teaching of learning from concepts about spherical geometry in a dynamic and contextual way, approaching the calculation of the distance between two points on its surface, given its geographical coordinates latitude and longitude on a Geogebra software modeling. We used as theoretical foundation several authors among them STWART 2012, HELLMEISTER 2004, BORBA 2010. It was concluded that the use of Geogebra software in the teaching of spherical geometry in particular in calculating the distance between two points in the Terrestrial Globe was satisfactory. We hope that this study has contributed in the teaching and learning process of mathematics and specifically of Spherical Geometry in a current and contextualized way.
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spelling Uchôa, Francisco José SantosNunes, José Valter Lopes2018-11-06T12:38:50Z2018-11-06T12:38:50Z2018UCHÔA, Francisco José Santos. A geometria esférica e a distância entre dois pontos do globo na perspectiva do GeoGebra. 47 f. 2018 Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2018.http://www.repositorio.ufc.br/handle/riufc/36871The present work is characterized by an exploratory and descriptive study of a qualitative nature of cross-sectional design. The research period was held in 2017 with the participation of high school students from a private school in the city of Fortaleza. The objective of this study was to promote the teaching of learning from concepts about spherical geometry in a dynamic and contextual way, approaching the calculation of the distance between two points on its surface, given its geographical coordinates latitude and longitude on a Geogebra software modeling. We used as theoretical foundation several authors among them STWART 2012, HELLMEISTER 2004, BORBA 2010. It was concluded that the use of Geogebra software in the teaching of spherical geometry in particular in calculating the distance between two points in the Terrestrial Globe was satisfactory. We hope that this study has contributed in the teaching and learning process of mathematics and specifically of Spherical Geometry in a current and contextualized way.O presente trabalho caracteriza-se por um estudo exploratório e descritivo de natureza qualitativa de delineamento transversal. O período da pesquisa aconteceu no ano 2017 tendo como participantes os alunos de ensino médio de uma escola particular do município de Fortaleza. Objetivou-se promover o ensino aprendizagem a partir de conceitos sobre a geometria esférica de forma dinâmica e contextual, abordando o cálculo da distância entre dois pontos em sua superfície, dados suas coordenadas geográficas latitude e longitude sobre uma modelagem do software Geogebra. Utilizamos como fundamentação teórica diversos autores entre eles STWART 2012, HELLMEISTER 2004, BORBA 2010. Concluiu-se que a utilização do software Geogebra no ensino de Geometria esférica em particular no cálculo da distância entre dois pontos no Globo Terrestre foi satisfatório. Esperamos com esse estudo ter contribuído no processo de ensino e aprendizagem da matemática e especificamente da Geometria Esférica de forma atual e contextualizada.Geometria não-EuclidianaGeoGebraEnsino MédioNon-Euclidean geometryHigh schoolA geometria esférica e a distância entre dois pontos do globo na perspectiva do GeoGebraThe spherical geometry and the distance between two points of the globe in the perspective of GeoGebrainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisporreponame:Repositório Institucional da Universidade Federal do Ceará (UFC)instname:Universidade Federal do Ceará (UFC)instacron:UFCinfo:eu-repo/semantics/openAccessORIGINAL2018_dis_fjsuchoa.pdf2018_dis_fjsuchoa.pdfapplication/pdf2210140http://repositorio.ufc.br/bitstream/riufc/36871/1/2018_dis_fjsuchoa.pdf6c7d1b28da0543c2ac5f736b97cfcb43MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://repositorio.ufc.br/bitstream/riufc/36871/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52riufc/368712019-08-16 11:04:50.129oai:repositorio.ufc.br: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Repositório InstitucionalPUBhttp://www.repositorio.ufc.br/ri-oai/requestbu@ufc.br || repositorio@ufc.bropendoar:2019-08-16T14:04:50Repositório Institucional da Universidade Federal do Ceará (UFC) - Universidade Federal do Ceará (UFC)false
dc.title.pt_BR.fl_str_mv A geometria esférica e a distância entre dois pontos do globo na perspectiva do GeoGebra
dc.title.en.pt_BR.fl_str_mv The spherical geometry and the distance between two points of the globe in the perspective of GeoGebra
title A geometria esférica e a distância entre dois pontos do globo na perspectiva do GeoGebra
spellingShingle A geometria esférica e a distância entre dois pontos do globo na perspectiva do GeoGebra
Uchôa, Francisco José Santos
Geometria não-Euclidiana
GeoGebra
Ensino Médio
Non-Euclidean geometry
High school
title_short A geometria esférica e a distância entre dois pontos do globo na perspectiva do GeoGebra
title_full A geometria esférica e a distância entre dois pontos do globo na perspectiva do GeoGebra
title_fullStr A geometria esférica e a distância entre dois pontos do globo na perspectiva do GeoGebra
title_full_unstemmed A geometria esférica e a distância entre dois pontos do globo na perspectiva do GeoGebra
title_sort A geometria esférica e a distância entre dois pontos do globo na perspectiva do GeoGebra
author Uchôa, Francisco José Santos
author_facet Uchôa, Francisco José Santos
author_role author
dc.contributor.author.fl_str_mv Uchôa, Francisco José Santos
dc.contributor.advisor1.fl_str_mv Nunes, José Valter Lopes
contributor_str_mv Nunes, José Valter Lopes
dc.subject.por.fl_str_mv Geometria não-Euclidiana
GeoGebra
Ensino Médio
Non-Euclidean geometry
High school
topic Geometria não-Euclidiana
GeoGebra
Ensino Médio
Non-Euclidean geometry
High school
description The present work is characterized by an exploratory and descriptive study of a qualitative nature of cross-sectional design. The research period was held in 2017 with the participation of high school students from a private school in the city of Fortaleza. The objective of this study was to promote the teaching of learning from concepts about spherical geometry in a dynamic and contextual way, approaching the calculation of the distance between two points on its surface, given its geographical coordinates latitude and longitude on a Geogebra software modeling. We used as theoretical foundation several authors among them STWART 2012, HELLMEISTER 2004, BORBA 2010. It was concluded that the use of Geogebra software in the teaching of spherical geometry in particular in calculating the distance between two points in the Terrestrial Globe was satisfactory. We hope that this study has contributed in the teaching and learning process of mathematics and specifically of Spherical Geometry in a current and contextualized way.
publishDate 2018
dc.date.accessioned.fl_str_mv 2018-11-06T12:38:50Z
dc.date.available.fl_str_mv 2018-11-06T12:38:50Z
dc.date.issued.fl_str_mv 2018
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 UCHÔA, Francisco José Santos. A geometria esférica e a distância entre dois pontos do globo na perspectiva do GeoGebra. 47 f. 2018 Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2018.
dc.identifier.uri.fl_str_mv http://www.repositorio.ufc.br/handle/riufc/36871
identifier_str_mv UCHÔA, Francisco José Santos. A geometria esférica e a distância entre dois pontos do globo na perspectiva do GeoGebra. 47 f. 2018 Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2018.
url http://www.repositorio.ufc.br/handle/riufc/36871
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv reponame:Repositório Institucional da Universidade Federal do Ceará (UFC)
instname:Universidade Federal do Ceará (UFC)
instacron:UFC
instname_str Universidade Federal do Ceará (UFC)
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reponame_str Repositório Institucional da Universidade Federal do Ceará (UFC)
collection Repositório Institucional da Universidade Federal do Ceará (UFC)
bitstream.url.fl_str_mv http://repositorio.ufc.br/bitstream/riufc/36871/1/2018_dis_fjsuchoa.pdf
http://repositorio.ufc.br/bitstream/riufc/36871/2/license.txt
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repository.name.fl_str_mv Repositório Institucional da Universidade Federal do Ceará (UFC) - Universidade Federal do Ceará (UFC)
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