REFLETINDO SOBRE APREENSÕES FIGURAIS NA RESOLUÇÃO DE PROBLEMAS GEOMÉTRICOS: PERSPECTIVAS DE ALUNOS DO 8.º ANO

Abstract

This research investigated the possibilities of figural apprehensions mobilized during geometry problem solving by elementary school students in the 8th grade. Based on Duval's studies (1944, 1995, 2006, 2012, 2018) on apprehensions, this qualitative research with interventionist characteristics involved 23 students from a private school in São Paulo. Data collection included protocols of tasks completed by participants, observations, written registers, and video and audio records. The results highlighted that manipulating figures enhances the development of figural apprehensions and provides students with more meaningful learning, stimulating spatial visualization, and deductive reasoning. Direct interaction with manipulative materials encouraged students to explore different approaches using the apprehensions, contributing to a deeper understanding of geometric concepts. The importance of figural apprehensions and manipulations as strategic elements in geometry teaching is highlighted. The systematization of these approaches and the use of manipulative materials can play a relevant role in developing students' mathematical skills, preparing them to face contemporary challenges with confidence and creativity.

Keywords:  Mathematics Teaching and Learning. Elementary School. Figural Apprehension. Problem solving. Manipulative Materials