The study of spherical geometry in Mathematics teacher education: an experience based on the use of manipulable materials

Detalhes bibliográficos
Autor(a) principal: Gregor, Isabela Cristina Soares
Data de Publicação: 2021
Outros Autores: Macêdo, Josué Antunes de, Crisostomo, Edson, Nunes, Daniel Martins
Tipo de documento: Artigo
Idioma: por
Título da fonte: Research, Society and Development
Texto Completo: https://rsdjournal.org/index.php/rsd/article/view/11646
Resumo: The present work addresses the main results of a research, whose focus was to present concepts of Spherical Geometry through manipulable materials and activities oriented to undergraduate students in Mathematics. To give theoretical and conceptual support to the research, we considered parameters of the use of manipulable materials in the teaching of mathematics and the teaching of geometry in Brazil. The methodology used sought to reconcile ideas on the use of manipulable materials for the organization of oriented activities that allowed students to make discoveries for themselves. The activities were applied to students of the Mathematics Degree course of a Federal Institute. The research results were qualitatively analyzed using Van Hiele model parameters to describe the performance of those involved. The contribution of the results of this research is inserted in the context of geometry teaching, specifically in the use of manipulable materials in the teaching-learning process.
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spelling The study of spherical geometry in Mathematics teacher education: an experience based on the use of manipulable materialsEl estudio de la geometría esférica en la formación de profesores de Matemáticas: una experiencia basada en el uso de materiales manipulablesO estudo de geometria esférica na formação de professores de matemática: uma experiência baseada na utilização de materiais manipuláveisFormação de professoresGeometrias Não EuclidianasGeometria EsféricaMateriais manipuláveis.Teacher trainingNon Euclidean GeometriesSpherical GeometryManipulable materials.Formación docenteGeometrías no euclidianasGeometría esféricaMateriales manipulados.The present work addresses the main results of a research, whose focus was to present concepts of Spherical Geometry through manipulable materials and activities oriented to undergraduate students in Mathematics. To give theoretical and conceptual support to the research, we considered parameters of the use of manipulable materials in the teaching of mathematics and the teaching of geometry in Brazil. The methodology used sought to reconcile ideas on the use of manipulable materials for the organization of oriented activities that allowed students to make discoveries for themselves. The activities were applied to students of the Mathematics Degree course of a Federal Institute. The research results were qualitatively analyzed using Van Hiele model parameters to describe the performance of those involved. The contribution of the results of this research is inserted in the context of geometry teaching, specifically in the use of manipulable materials in the teaching-learning process.El presente trabajo aborda los principales resultados de una investigación, cuyo foco fue presentar conceptos de Geometría Esférica a través de materiales manipulables y actividades orientadas a los estudiantes de la carrera de Grado en Matemáticas. Para dar soporte teórico y conceptual a la investigación, se consideraron parámetros del uso de materiales manipulables en la enseñanza de las Matemáticas y en la enseñanza de la Geometría en Brasil. La metodología utilizada buscó conciliar ideas sobre el uso de materiales manipulables para la organización de actividades orientadas que permitieran a los estudiantes realizar descubrimientos por sí mismos. Las actividades fueron aplicadas a estudiantes de la carrera de Licenciatura en Matemáticas de un Instituto Federal. Los resultados de la investigación se analizaron cualitativamente, utilizando parámetros del modelo de Van Hiele para describir el desempeño de los involucrados. El aporte de los resultados de esta investigación se inserta en el contexto de la enseñanza de la Geometría, específicamente en el uso de materiales manipulables en el proceso de enseñanza y aprendizaje.O presente trabalho aborda os principais resultados de uma pesquisa, cujo foco foi apresentar conceitos de Geometria Esférica por meio de materiais manipuláveis e atividades orientadas para os acadêmicos do curso de Licenciatura em Matemática. Para dar suporte teórico e conceitual à pesquisa, foram considerados parâmetros da utilização de materiais manipuláveis no ensino de Matemática e sobre o ensino de Geometria no Brasil. A metodologia utilizada buscou conciliar ideias sobre a utilização de materiais manipuláveis para a organização de atividades orientadas que permitissem aos estudantes realizarem descobertas por si. As atividades foram aplicadas a estudantes do curso de Licenciatura em Matemática de um Instituto Federal. Os resultados da pesquisa foram analisados qualitativamente, usando parâmetros do modelo de Van Hiele para descrever o desempenho dos envolvidos. A contribuição dos resultados desta pesquisa está inserida no contexto do ensino de Geometria, especificamente na utilização de materiais manipuláveis no processo de ensino e aprendizagem.Research, Society and Development2021-01-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://rsdjournal.org/index.php/rsd/article/view/1164610.33448/rsd-v10i1.11646Research, Society and Development; Vol. 10 No. 1; e18510111646Research, Society and Development; Vol. 10 Núm. 1; e18510111646Research, Society and Development; v. 10 n. 1; e185101116462525-3409reponame:Research, Society and Developmentinstname:Universidade Federal de Itajubá (UNIFEI)instacron:UNIFEIporhttps://rsdjournal.org/index.php/rsd/article/view/11646/10390Copyright (c) 2021 Isabela Cristina Soares Gregor; Josué Antunes de Macêdo; Edson Crisostomo; Daniel Martins Nuneshttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessGregor, Isabela Cristina Soares Macêdo, Josué Antunes deCrisostomo, Edson Nunes, Daniel Martins2021-02-20T21:19:23Zoai:ojs.pkp.sfu.ca:article/11646Revistahttps://rsdjournal.org/index.php/rsd/indexPUBhttps://rsdjournal.org/index.php/rsd/oairsd.articles@gmail.com2525-34092525-3409opendoar:2024-01-17T09:33:24.902508Research, Society and Development - Universidade Federal de Itajubá (UNIFEI)false
dc.title.none.fl_str_mv The study of spherical geometry in Mathematics teacher education: an experience based on the use of manipulable materials
El estudio de la geometría esférica en la formación de profesores de Matemáticas: una experiencia basada en el uso de materiales manipulables
O estudo de geometria esférica na formação de professores de matemática: uma experiência baseada na utilização de materiais manipuláveis
title The study of spherical geometry in Mathematics teacher education: an experience based on the use of manipulable materials
spellingShingle The study of spherical geometry in Mathematics teacher education: an experience based on the use of manipulable materials
Gregor, Isabela Cristina Soares
Formação de professores
Geometrias Não Euclidianas
Geometria Esférica
Materiais manipuláveis.
Teacher training
Non Euclidean Geometries
Spherical Geometry
Manipulable materials.
Formación docente
Geometrías no euclidianas
Geometría esférica
Materiales manipulados.
title_short The study of spherical geometry in Mathematics teacher education: an experience based on the use of manipulable materials
title_full The study of spherical geometry in Mathematics teacher education: an experience based on the use of manipulable materials
title_fullStr The study of spherical geometry in Mathematics teacher education: an experience based on the use of manipulable materials
title_full_unstemmed The study of spherical geometry in Mathematics teacher education: an experience based on the use of manipulable materials
title_sort The study of spherical geometry in Mathematics teacher education: an experience based on the use of manipulable materials
author Gregor, Isabela Cristina Soares
author_facet Gregor, Isabela Cristina Soares
Macêdo, Josué Antunes de
Crisostomo, Edson
Nunes, Daniel Martins
author_role author
author2 Macêdo, Josué Antunes de
Crisostomo, Edson
Nunes, Daniel Martins
author2_role author
author
author
dc.contributor.author.fl_str_mv Gregor, Isabela Cristina Soares
Macêdo, Josué Antunes de
Crisostomo, Edson
Nunes, Daniel Martins
dc.subject.por.fl_str_mv Formação de professores
Geometrias Não Euclidianas
Geometria Esférica
Materiais manipuláveis.
Teacher training
Non Euclidean Geometries
Spherical Geometry
Manipulable materials.
Formación docente
Geometrías no euclidianas
Geometría esférica
Materiales manipulados.
topic Formação de professores
Geometrias Não Euclidianas
Geometria Esférica
Materiais manipuláveis.
Teacher training
Non Euclidean Geometries
Spherical Geometry
Manipulable materials.
Formación docente
Geometrías no euclidianas
Geometría esférica
Materiales manipulados.
description The present work addresses the main results of a research, whose focus was to present concepts of Spherical Geometry through manipulable materials and activities oriented to undergraduate students in Mathematics. To give theoretical and conceptual support to the research, we considered parameters of the use of manipulable materials in the teaching of mathematics and the teaching of geometry in Brazil. The methodology used sought to reconcile ideas on the use of manipulable materials for the organization of oriented activities that allowed students to make discoveries for themselves. The activities were applied to students of the Mathematics Degree course of a Federal Institute. The research results were qualitatively analyzed using Van Hiele model parameters to describe the performance of those involved. The contribution of the results of this research is inserted in the context of geometry teaching, specifically in the use of manipulable materials in the teaching-learning process.
publishDate 2021
dc.date.none.fl_str_mv 2021-01-07
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://rsdjournal.org/index.php/rsd/article/view/11646
10.33448/rsd-v10i1.11646
url https://rsdjournal.org/index.php/rsd/article/view/11646
identifier_str_mv 10.33448/rsd-v10i1.11646
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://rsdjournal.org/index.php/rsd/article/view/11646/10390
dc.rights.driver.fl_str_mv https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Research, Society and Development
publisher.none.fl_str_mv Research, Society and Development
dc.source.none.fl_str_mv Research, Society and Development; Vol. 10 No. 1; e18510111646
Research, Society and Development; Vol. 10 Núm. 1; e18510111646
Research, Society and Development; v. 10 n. 1; e18510111646
2525-3409
reponame:Research, Society and Development
instname:Universidade Federal de Itajubá (UNIFEI)
instacron:UNIFEI
instname_str Universidade Federal de Itajubá (UNIFEI)
instacron_str UNIFEI
institution UNIFEI
reponame_str Research, Society and Development
collection Research, Society and Development
repository.name.fl_str_mv Research, Society and Development - Universidade Federal de Itajubá (UNIFEI)
repository.mail.fl_str_mv rsd.articles@gmail.com
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