Visualization and thinking geometric in the Geometry in motion
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , |
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. |
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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 |
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