GEOMETRIA SINTÉTICA: INVESTIGAÇÃO SOBRE O USO DE UM SOFTWARE DE GEOMETRIA DINÂMICA COMO MEIO PARA DEMONSTRAÇÕES VISUAIS

• Autor(a) principal: Bresolin, Nadia Roberta Quaini
• Data de Publicação: 2016
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Repositório Institucional Universidade Franciscana
• Texto Completo: http://www.tede.universidadefranciscana.edu.br:8080/handle/UFN-BDTD/594
• topic: Geometria Sintética. Geometria Plana. Teoremas visuais. Argumentação; Synthetic Geometry. Plane Geometry. Visual Theorems. Argumentation.; Ciências e Matemática

This research aimed to investigate how the GeoGebra software can provide the development of creative, intuitive and visual abilities in the statement of theorems of synthetic geometry. The research was carried out with five students of the first year of high school in a state school of Rio Grande do Sul. This is a qualitative research carried out in the computer lab; data collection was obtained through the records of the constructions carried out by students and analyzed existing protocols in the software itself. The investigative activities, developed in workshop mode, consisted of four specific theorems of plane geometry, chosen at random and feasible to be offered to students of elementary school. The research results showed that the activities provided through the GeoGebra software, the development of creativity, the use of intuitive thinking and visualization as a way of analyzing the operation of ideas in the formulation of conjectures, which contributed to the construction of theorems, providing meaningful learning. Also, it indicates synthetic geometry as a way to perform logical statements of theorems, developing reasoning skills and justifications. In turn, the results showed that the use of GeoGebra software, used in construction, was key to achieving the goals in the research.