Uma análise dos níveis de desenvolvimento do pensamento geométrico de licenciandos em matemática segundo a Teoria Van Hiele

Abstract

The construction of this work emerged from concerns around the teaching of Geometrics and has as its main goal, to analyze the levels of the Geometry thinking of students from the courses of Graduation in Mathematics using as the basic theoretical referential the van Hiele theory. We adopted as methodological procedures, in a qualitative approach, the application of van Hiele tests and of questionnaires in order to know the conceptions of the graduate students regarding their initial training about the learning of Geometrics. Thirty-five students took part in the research, 12 of them from the University of the State of Bahia – UNEB, 10 from the University of the State of Alagoas – UNEAL and 13 from the Federal University of Alagoas – UFAL. The analysis of results obtained with the research shows considered as desirable for acting as future professionals of Basic Education since almost all of the research subjects are in the level of Analysis, corresponding to the second level in the scale of five levels from van Hiele geometric thinking. Finally, as an educational product, we present a report of this research aimed to the collegiate and directors of the departments of Mathematics from the participating institutions.