Software for the analysis of the development of geometric thinking according to Van Hiele model

Abstract

The article presents results of a monograph in Mathematics that sought to identify levels of geometric thinking of the students of the Fundamentals of Geometry discipline at the Northwest Fluminense Institute of Higher Education. The studies started from the curricular prescriptions until high school and by applying Van Hiele theory using the GeoRun structured software for the identification of the thought levels. The methodology adopted was the Didactic Engineering, where a preliminary analysis was carried out which traced an initial profile of the sample, the a priori analysis, experimentation, where a teaching session with a dynamic geometry software was held and finally the validation / analysis to after which a comparison of the results obtained and the study validation was performed. It was concluded that the pedagogical intervention enhanced the understanding of the class and there was an evolution in this restudy of the concepts of geometric figures.

Keywords

• van hiele theory
• didactic engineering
• computational environment
• geometry