Construção de geometrias: uma abordagem axiomática
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Data
2020-05-15
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Universidade Federal de Goiás
Resumo
In basic education or in the teaching of geometry, it is shown that there are no reflexions and questions
about the construction of geometry: How is geometry born? Or, how to build geometry from nothing?
Inquiries about some fundamentals of geometry are fundamental to understanding how mathematics is
built. However, it turns out to be a simple task to find ways of approach in basic education that
provides these reflexions, since geometry returns to students and is exposed as an absolute truth. It is in
this sense, that the present work approaches a process of geometry construction, through the insertion
of axioms at a time and is analyzed as its consequences in this geometry. To do so, recover the notion
of models in a geometry, which will be attributed to this construction, indicated by the teacher as a tool
that can subsidize the reflexions and questions about the construction of plane geometry.
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Palavras-chave
Axiomas, Geometrias, Modelos, Axioms, Geometry, Models
Citação
NASCIMENTO, D. L. Construção de geometrias: uma abordagem axiomática. 2020. 100 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Catalão, 2020.