Parametrizações e transformações afins planares

• Ano de defesa: 2014
• Autor(a) principal: Ferreira, Lucas Santos Silva
• Orientador(a): Ramos, Zaqueu Alves
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Sergipe
• Programa de Pós-Graduação: Pós-Graduação em Matemática
• País: Brasil
• Palavras-chave em Português: Matemática; Geometria; Ensino de geometria; Prática de ensino; Parametrizações; Afinidades; Coordenadas; Aplicações; Geometry; Parameterizations; Affinity; Coordinated of changes; Applications
• Área do conhecimento CNPq: CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: https://ri.ufs.br/handle/riufs/6505

This thesis aims to present aspects of parametric equations and planar a ne transformations that can be exploited in basic education. With respect to parameterizations we present a succession of elementary examples and make the comparison between the parametric and Cartesian equations - highlighting the advantages of using one over the other. Furthermore, we discussed the process of obtaining the Cartesian equations from parametric and importance of this type of equations for physics. With respect to a ne transformations our interest is to look at them from the perspective of Felix Klein program, in which a geometry is classi ed as a set of objects on the action of a group set. We emphasize some special transformations and their importance in the generation of the a nity group and the implementation of coordinated of change process. We emphasize that we have not aimed this work to be fully applied as teaching materials for elementary education, what we want is it to be a provocateur to the teacher researcher instinct .