Visualization and thinking geometric in the Geometry in motion

Detalhes bibliográficos
Autor(a) principal: Mota, Janine Freitas
Data de Publicação: 2019
Outros Autores: Lopes, Rieuse, Ferreira, Ronaldo Dias
Tipo de documento: Artigo
Idioma: por
Título da fonte: Revista de Ensino de Ciências e Matemática - REnCiMa
Texto Completo: https://revistapos.cruzeirodosul.edu.br/rencima/article/view/2354
Resumo: In this article, we present a discussion about a research conducted by students of Degree in Mathematics, which focused the development of the visualization ability and the geometric thought in the carrying out activities that contemplated geometric constructions of three - dimensional surfaces using pencil, paper and computational tools. Activities were elaborated, applied and analyzed and these activities articulated theory and practice through activities of investigation, exploration, visualization and construction of surfaces. The articulation between Algebra and Geometry and the use of transversal sections, present in the activities, sought to make the students develop the ability to visualize three- dimensional objects. The use of educational informatics through Winplot allowed the exploration and formalization of different geometric concepts, from the rotation and translation of figures, which facilitated the geometric visualization with multiple representations. The qualitative analysis of the results confirmed that the students had a better capacity for generalization and that the activities showed a more progressive and innovative way of teaching Mathematics in situations of practice and experimentation of the content, aiming at understanding and interpretation of the topics that are studied.
id UCS-4_d177481d5dc8e3d828f1712f8e719be7
oai_identifier_str oai:ojs.pkp.sfu.ca:article/2354
network_acronym_str UCS-4
network_name_str Revista de Ensino de Ciências e Matemática - REnCiMa
repository_id_str
spelling Visualization and thinking geometric in the Geometry in motionVisualização e pensamento geométrico na Geometria em movimentoVisualizaçãoPensamento GeométricoConstruções GeométricasInformática EducativaPreviewGeometric ThoughtGeometric ConstructionsEducational InformaticsIn this article, we present a discussion about a research conducted by students of Degree in Mathematics, which focused the development of the visualization ability and the geometric thought in the carrying out activities that contemplated geometric constructions of three - dimensional surfaces using pencil, paper and computational tools. Activities were elaborated, applied and analyzed and these activities articulated theory and practice through activities of investigation, exploration, visualization and construction of surfaces. The articulation between Algebra and Geometry and the use of transversal sections, present in the activities, sought to make the students develop the ability to visualize three- dimensional objects. The use of educational informatics through Winplot allowed the exploration and formalization of different geometric concepts, from the rotation and translation of figures, which facilitated the geometric visualization with multiple representations. The qualitative analysis of the results confirmed that the students had a better capacity for generalization and that the activities showed a more progressive and innovative way of teaching Mathematics in situations of practice and experimentation of the content, aiming at understanding and interpretation of the topics that are studied.Neste artigo,apresentamos uma discussão sobre uma pesquisa realizada com estudantes da Licenciatura em Matemática, cujo enfoque foi o desenvolvimento da habilidade de visualização e do pensamento geométrico na realização de atividades que contemplam construções geométricas de superfícies tridimensionais com o uso de lápis, papel e ferramenta computacional. Foram elaboradas, aplicadas e analisadas atividades que articularam teoria e prática por meio de investigação, exploração, visualização e construção de superfícies. A articulação entre Álgebra e Geometria e a utilização de seções transversais, presentes nas atividades, buscaram fazer com que os estudantes desenvolvessem a habilidade de visualizar os objetos tridimensionais. O uso da informática educativa, por meio do Winplot, permitiu explorar e formalizar diferentes conceitos geométricos a partir da rotação e translação de figuras, o que facilitou a visualização geométrica com múltiplas representações. A análise qualitativa dos resultados confirmou que houve, por parte dos estudantes, maior capacidade de generalização e que as atividades mostraram uma maneira mais progressista, ou seja, inovadora, de se ensinar Matemáticanum ambiente ou em um espaço de prática e de experimentação do conteúdo, visando à compreensão e à interpretação dos tópicos em estudo.Editora Cruzeiro do Sul2019-06-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistapos.cruzeirodosul.edu.br/rencima/article/view/235410.26843/rencima.v10i2.2354Revista de Ensino de Ciências e Matemática; v. 10 n. 2 (2019): jun.; 188-2032179-426X10.26843/rencima.v10i2reponame:Revista de Ensino de Ciências e Matemática - REnCiMainstname:Universidade de Caxias do Sul (UCS)instacron:UCSporhttps://revistapos.cruzeirodosul.edu.br/rencima/article/view/2354/1122https://creativecommons.org/licenses/by-nc-sa/4.0/deed.pt_BRinfo:eu-repo/semantics/openAccessMota, Janine FreitasLopes, RieuseFerreira, Ronaldo Dias2023-09-23T00:58:02Zoai:ojs.pkp.sfu.ca:article/2354Revistahttps://revistapos.cruzeirodosul.edu.br/index.php/rencima/indexPRIhttps://revistapos.cruzeirodosul.edu.br/index.php/rencima/oai||rencima@cruzeirodosul.edu.br2179-426X2179-426Xopendoar:2023-09-23T00:58:02Revista de Ensino de Ciências e Matemática - REnCiMa - Universidade de Caxias do Sul (UCS)false
dc.title.none.fl_str_mv Visualization and thinking geometric in the Geometry in motion
Visualização e pensamento geométrico na Geometria em movimento
title Visualization and thinking geometric in the Geometry in motion
spellingShingle Visualization and thinking geometric in the Geometry in motion
Mota, Janine Freitas
Visualização
Pensamento Geométrico
Construções Geométricas
Informática Educativa
Preview
Geometric Thought
Geometric Constructions
Educational Informatics
title_short Visualization and thinking geometric in the Geometry in motion
title_full Visualization and thinking geometric in the Geometry in motion
title_fullStr Visualization and thinking geometric in the Geometry in motion
title_full_unstemmed Visualization and thinking geometric in the Geometry in motion
title_sort Visualization and thinking geometric in the Geometry in motion
author Mota, Janine Freitas
author_facet Mota, Janine Freitas
Lopes, Rieuse
Ferreira, Ronaldo Dias
author_role author
author2 Lopes, Rieuse
Ferreira, Ronaldo Dias
author2_role author
author
dc.contributor.author.fl_str_mv Mota, Janine Freitas
Lopes, Rieuse
Ferreira, Ronaldo Dias
dc.subject.por.fl_str_mv Visualização
Pensamento Geométrico
Construções Geométricas
Informática Educativa
Preview
Geometric Thought
Geometric Constructions
Educational Informatics
topic Visualização
Pensamento Geométrico
Construções Geométricas
Informática Educativa
Preview
Geometric Thought
Geometric Constructions
Educational Informatics
description In this article, we present a discussion about a research conducted by students of Degree in Mathematics, which focused the development of the visualization ability and the geometric thought in the carrying out activities that contemplated geometric constructions of three - dimensional surfaces using pencil, paper and computational tools. Activities were elaborated, applied and analyzed and these activities articulated theory and practice through activities of investigation, exploration, visualization and construction of surfaces. The articulation between Algebra and Geometry and the use of transversal sections, present in the activities, sought to make the students develop the ability to visualize three- dimensional objects. The use of educational informatics through Winplot allowed the exploration and formalization of different geometric concepts, from the rotation and translation of figures, which facilitated the geometric visualization with multiple representations. The qualitative analysis of the results confirmed that the students had a better capacity for generalization and that the activities showed a more progressive and innovative way of teaching Mathematics in situations of practice and experimentation of the content, aiming at understanding and interpretation of the topics that are studied.
publishDate 2019
dc.date.none.fl_str_mv 2019-06-03
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://revistapos.cruzeirodosul.edu.br/rencima/article/view/2354
10.26843/rencima.v10i2.2354
url https://revistapos.cruzeirodosul.edu.br/rencima/article/view/2354
identifier_str_mv 10.26843/rencima.v10i2.2354
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://revistapos.cruzeirodosul.edu.br/rencima/article/view/2354/1122
dc.rights.driver.fl_str_mv https://creativecommons.org/licenses/by-nc-sa/4.0/deed.pt_BR
info:eu-repo/semantics/openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/4.0/deed.pt_BR
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Editora Cruzeiro do Sul
publisher.none.fl_str_mv Editora Cruzeiro do Sul
dc.source.none.fl_str_mv Revista de Ensino de Ciências e Matemática; v. 10 n. 2 (2019): jun.; 188-203
2179-426X
10.26843/rencima.v10i2
reponame:Revista de Ensino de Ciências e Matemática - REnCiMa
instname:Universidade de Caxias do Sul (UCS)
instacron:UCS
instname_str Universidade de Caxias do Sul (UCS)
instacron_str UCS
institution UCS
reponame_str Revista de Ensino de Ciências e Matemática - REnCiMa
collection Revista de Ensino de Ciências e Matemática - REnCiMa
repository.name.fl_str_mv Revista de Ensino de Ciências e Matemática - REnCiMa - Universidade de Caxias do Sul (UCS)
repository.mail.fl_str_mv ||rencima@cruzeirodosul.edu.br
_version_ 1799306131253755904