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  • 标题:Investigating topological properties with students of the elementary school
  • 本地全文:下载
  • 作者:José Carlos Pinto Leivas ; José Carlos Pinto Leivas ; Anne Desconsi Hassemann Bettin
  • 期刊名称:Revista Brasileira de Ensino de Ciência e Tecnologia
  • 电子版ISSN:1982-873X
  • 出版年度:2021
  • 卷号:14
  • 期号:2
  • DOI:10.3895/rbect.v14n2.12649
  • 语种:Portuguese
  • 出版社:Universidade Tecnológica Federal do Paraná
  • 摘要:This article is the result of a research originated in a Study and Research Group in Geometry, which has been dedicated to exploring alternative methodologies that can contribute to this area, including through the development of appropriate teaching resources, whose application should happen in locus, in order to validate it and suggest proposals. This work aimes to analyze how elementary school students understand facts of a non-Euclidean geometry - topological geometry - exploring concrete didactic material resources. Six activities were applied involving material resources such as: coloring maps with minimal amount of colors; modeling clay, in order to conclude the mass conservation; strings, for continuous transformations of closed lines; Möebius Band, to analyze the continuity property; balloons, to illustrate continuous deformations, among others. It was possible to investigate the students' understanding of the theme at this level of education. It was concluded from the research that it is possible to introduce basic topological notions that tend to contribute to the geometric formation of the students, which includes the transition to high school geometry, for example, when studying the Euler’s relation to polyhedra.
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