Investigação do Desenvolvimento da Aprendizagem e do Pensamento Geométrico

Abstract

The present research aims to investigate and analyze how the Euclidean learning and geometric thinking of the students of the 9th grade of Elementary School, based on the Van Hiele model, develops. For this, we sought theoretical basis on the development of geometric learning and the Van Hiele model, considering the five levels of learning related to the teaching of Geometry and its understanding. The methodology adopts the presuppositions of a qualitative research, of applied nature, with case study. It was planned a didactic sequence and applied in the 9th year of Elementary School, of the State High School Odila Villordo de Moraes, in Itaqui, during three meetings of two class periods each. Data collection was done by means of annotations of the researcher's observations during the investigation and by the students' resolutions, which were collected at the end of each meeting. As for the results, the difficulties in (re-) knowing the properties, definitions and classifications of the geometric contents worked, considering the five levels of van Hiele and the learning phases, were verified. It was concluded how important it is for the teacher to work on the mathematical language and to develop the geometric knowledge in the whole. It was observed that geometric learning happens when the student understands and appropriates geometric knowledge, using strategies of resolution and that geometric thinking occurs when conjecture about the knowledge learned, using their own reasoning. It was verified the importance of the levels of learning that the students are and how much this research is relevant and contributes to my formation.