Um ETG para o ensino e a aprendizagem em tópicos de superfícies parametrizadas

This article aimed to analyze the contributions of a Geometric Workspace (ETG), involving the Theory of Semiotic Representation Registers (TRRS), for teaching and learning on parameterized surfaces. The research, of a qualitative nature, had the ETG as its theoretical reference, while its methodological reference was the TRSS. The research was structured into 4 modules: solids and surfaces (representations), plane parameterization, straight circular cylinder surface parameterization and spherical surface parameterization. The modules were tested with students from a Postgraduate program in Mathematics Teaching in the discipline of Geometry. The results highlighted contributions that favored the development of geometric knowledge for understanding and solving problems in parameterized surface topics, starting from the visualization to the construction of concepts and properties. The mobilization of different records helped in activating the genesis for the acquisition and the understanding of the contents and in the articulation of the plans by means of Figural Genesis, Instrumental or Discursive.