Faces of Möbius’Band
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/1480 |
Resumo: | In this article, we present a bibliographic-theoretical-methodological research carried out by a research group, whose objective was to investigate the possibilities of use and applications of the Möbius’Band in several areas, as a way to insert such content in the teaching of Geometry. We started with obtaining this surface from a strip of paper and we use the intuition in order to characterize a unilateral topological surface. We identifying its use in literary where the mixture between the functions of the author and the reader, in continuous passage. We establish the connection of the Band to Lacan's work when he uses it to explore the various stages of the human psyche. We also identify the visual beauty when it is used in architecture, exploring landscaping / tourism, and the use in the furniture industry. Finally, we explore GeoGebra 3D to develop visual abilities, in order to stimulate the teacher to elaborate motivational activities for the teaching of Geometry in the different levels of schooling. As a conclusion, the group indicates the use of Topology, regardless of measures such as Euclidean geometry, to stimulate / encourage the teaching and learning of Geometry, through intuitive / exploratory activities. |
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Faces of Möbius’BandFaces da Banda de MöbiusMáxi Banda de MöbiusPsicanáliseArquiteturaIndústria moveleiraLiteraturaMöbius’ BandPsychoanalysisArchitectureFurniture industryLiteratureIn this article, we present a bibliographic-theoretical-methodological research carried out by a research group, whose objective was to investigate the possibilities of use and applications of the Möbius’Band in several areas, as a way to insert such content in the teaching of Geometry. We started with obtaining this surface from a strip of paper and we use the intuition in order to characterize a unilateral topological surface. We identifying its use in literary where the mixture between the functions of the author and the reader, in continuous passage. We establish the connection of the Band to Lacan's work when he uses it to explore the various stages of the human psyche. We also identify the visual beauty when it is used in architecture, exploring landscaping / tourism, and the use in the furniture industry. Finally, we explore GeoGebra 3D to develop visual abilities, in order to stimulate the teacher to elaborate motivational activities for the teaching of Geometry in the different levels of schooling. As a conclusion, the group indicates the use of Topology, regardless of measures such as Euclidean geometry, to stimulate / encourage the teaching and learning of Geometry, through intuitive / exploratory activities.Neste artigo, apresentamos uma pesquisa bibliográfica-teórico-metodológica realizada por um grupo de pesquisa, que teve por objetivo investigar possibilidades de uso e aplicações da Banda de Möbius em diversas áreas, como forma de inserir tal conteúdo no ensino de Geometria. Iniciamos com a obtenção dessa superfície por faixas de papel como recurso didático concreto e usamos intuição para caracterizar uma superfície topológica unilateral. Buscamos ligações interdisciplinares, identificando seu uso em obras literárias onde a mistura entre funções do autor e leitor, em passagem contínua, ocorre de forma análoga ao que acontece com a superfície de Möbius. Estabelecemos sua conexão com a obra de Lacan, ao utilizá-la para explorar diversos estágios da psique humana. Identificamos, ainda, a beleza visual da Banda na arquitetura, explorando paisagismo/turismo, além da indústria moveleira. Exploramos no GeoGebra 3D, para desenvolver habilidades visuais, em que propriedades topológicas são indicadas, de modo a estimular o professor a elaborar atividades para o ensino de Geometria nos diversos níveis de escolaridade. Como finalização, o nosso grupo de estudos e pesquisas em Geometria indica o uso da Topologia, por independer de medidas, como no caso da Geometria Euclidiana, para o ensino e aprendizagem de Geometria por meio de atividades intuitivas/exploratórias.Editora Cruzeiro do Sul2019-06-21info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistapos.cruzeirodosul.edu.br/rencima/article/view/148010.26843/rencima.v10i3.1480Revista de Ensino de Ciências e Matemática; v. 10 n. 3 (2019): abr./jun.; 93-1102179-426X10.26843/rencima.v10i3reponame:Revista de Ensino de Ciências e Matemática - REnCiMainstname:Universidade de Caxias do Sul (UCS)instacron:UCSporhttps://revistapos.cruzeirodosul.edu.br/rencima/article/view/1480/1132https://creativecommons.org/licenses/by-nc-sa/4.0/deed.pt_BRinfo:eu-repo/semantics/openAccessLeivas, José Carlos PintoBettin, Anne Desconsi HasselmannFranke, Rosvita Fuelber2023-04-21T02:06:03Zoai:ojs.pkp.sfu.ca:article/1480Revistahttps://revistapos.cruzeirodosul.edu.br/index.php/rencima/indexPRIhttps://revistapos.cruzeirodosul.edu.br/index.php/rencima/oai||rencima@cruzeirodosul.edu.br2179-426X2179-426Xopendoar:2023-04-21T02:06:03Revista de Ensino de Ciências e Matemática - REnCiMa - Universidade de Caxias do Sul (UCS)false |
dc.title.none.fl_str_mv |
Faces of Möbius’Band Faces da Banda de Möbius |
title |
Faces of Möbius’Band |
spellingShingle |
Faces of Möbius’Band Leivas, José Carlos Pinto Máxi Banda de Möbius Psicanálise Arquitetura Indústria moveleira Literatura Möbius’ Band Psychoanalysis Architecture Furniture industry Literature |
title_short |
Faces of Möbius’Band |
title_full |
Faces of Möbius’Band |
title_fullStr |
Faces of Möbius’Band |
title_full_unstemmed |
Faces of Möbius’Band |
title_sort |
Faces of Möbius’Band |
author |
Leivas, José Carlos Pinto |
author_facet |
Leivas, José Carlos Pinto Bettin, Anne Desconsi Hasselmann Franke, Rosvita Fuelber |
author_role |
author |
author2 |
Bettin, Anne Desconsi Hasselmann Franke, Rosvita Fuelber |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Leivas, José Carlos Pinto Bettin, Anne Desconsi Hasselmann Franke, Rosvita Fuelber |
dc.subject.por.fl_str_mv |
Máxi Banda de Möbius Psicanálise Arquitetura Indústria moveleira Literatura Möbius’ Band Psychoanalysis Architecture Furniture industry Literature |
topic |
Máxi Banda de Möbius Psicanálise Arquitetura Indústria moveleira Literatura Möbius’ Band Psychoanalysis Architecture Furniture industry Literature |
description |
In this article, we present a bibliographic-theoretical-methodological research carried out by a research group, whose objective was to investigate the possibilities of use and applications of the Möbius’Band in several areas, as a way to insert such content in the teaching of Geometry. We started with obtaining this surface from a strip of paper and we use the intuition in order to characterize a unilateral topological surface. We identifying its use in literary where the mixture between the functions of the author and the reader, in continuous passage. We establish the connection of the Band to Lacan's work when he uses it to explore the various stages of the human psyche. We also identify the visual beauty when it is used in architecture, exploring landscaping / tourism, and the use in the furniture industry. Finally, we explore GeoGebra 3D to develop visual abilities, in order to stimulate the teacher to elaborate motivational activities for the teaching of Geometry in the different levels of schooling. As a conclusion, the group indicates the use of Topology, regardless of measures such as Euclidean geometry, to stimulate / encourage the teaching and learning of Geometry, through intuitive / exploratory activities. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-06-21 |
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/1480 10.26843/rencima.v10i3.1480 |
url |
https://revistapos.cruzeirodosul.edu.br/rencima/article/view/1480 |
identifier_str_mv |
10.26843/rencima.v10i3.1480 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
https://revistapos.cruzeirodosul.edu.br/rencima/article/view/1480/1132 |
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. 3 (2019): abr./jun.; 93-110 2179-426X 10.26843/rencima.v10i3 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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1799306130165334016 |