Faces of Möbius’Band

• Autor(a) principal: Leivas, José Carlos Pinto
• Data de Publicação: 2019
• Outros Autores: Bettin, Anne Desconsi Hasselmann, Franke, Rosvita Fuelber
• 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
• topic: Máxi Banda de Möbius; Psicanálise; Arquitetura; Indústria moveleira; Literatura; Möbius’ Band; Psychoanalysis; Architecture; Furniture industry; Literature

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.