O processo de construção dos poliedros de Arquimedes: uma visão di nâmica a partir do GeoGebra
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Data
2019-04-10Autor
http://lattes.cnpq.br/3184738498450190
FERREIRA, Antonio Cerino Dias
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The central theme of this work is Archimedes' Polyhedrons. In it we seek to present the process
of construction of these solids from the polyhedrons of Plato. For this, several constructions
were realized from the software of dynamic mathematics, GeoGebra. Thus, the central
objectives of this work are: to present the process of obtaining Archimedean solids from the
Platonic with the visual support of constructions made by us in GeoGebra and to show the main
ideas that will allow the reader to try to reproduce these files in ggb format or to produce others
for the same purpose. In addition, a brief exposition of the history related to the subject is
presented, dealing with correlated subjects and showing who were the main mathematicians
involved, especially Archimedes. The proposed objectives have been achieved since the
constructions are ready and available to the public in the repository of materials on the official
GeoGebra website. It is assumed that the reader of this work already has basic knowledge in
the area of Geometry (flat, spatial and analytical), as well as some familiarity with the
GeoGebra software interface. This work did not focus on the production of didactic material
that could be worked on in basic education classes. However, we seek to create a presentation
that allows a professor or undergraduate student to introduce the theme, and it is up to them to
define their use of the knowledge acquired, since, although Archimedean Polyhedrons are not
part of the content provided in the curriculum of this level of teaching, depending on the
approach taken by the teacher, this study can contribute to the development of the reasoning
and to the expansion of the spatial vision of school students, skills that are certainly desirable.