The study of spherical geometry in Mathematics teacher education: an experience based on the use of manipulable materials
Autor(a) principal: | |
---|---|
Data de Publicação: | 2021 |
Outros Autores: | , , |
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. |
id |
UNIFEI_d181cf9cb8fe53ca042d4d3ef4bc69b9 |
---|---|
oai_identifier_str |
oai:ojs.pkp.sfu.ca:article/11646 |
network_acronym_str |
UNIFEI |
network_name_str |
Research, Society and Development |
repository_id_str |
|
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 |
_version_ |
1797052668058796032 |