Uma visita ao disco de Poincaré: proposta de material para aperfeiçoamento de professores
Date
2019-04-11Author
http://lattes.cnpq.br/1485923450838419
SOUZA, Arley Antes
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This work proposes a support material for teaching non-Euclidean geometries, which can
be used during initial teacher training or teacher improvement. We will do this by means
of a model of the hyperbolic geometry known as the Poincaré disk. This model has great
importance in mathematics in part because it allows the visualization of the properties
of this geometry. Thus, we expect the support material we produced to facilitate the
study and interpretation of such properties, which make hyperbolic geometry so different
from Euclidean geometry. The support material devotes an entire chapter to a historical
approach to the development of non-Euclidean geometry. Another chapter is devoted to
definitions and results of Euclidean geometry, and can be used to revisit these topics,
regardless of the interest in the Poincaré disk.