Processos de raciocínio matemático mobilizados por alunos do 7º ano durante a resolução de problemas

Abstract

This research aims to investigate mathematical reasoning processes mobilized by students of the 7th grade of Elementary School in the city of Maringá, in the State of Paraná, when solving a sequence of problems involving, unusual counterexamples in the traditional teaching, of mathematics supported by the Methodology Teaching-Learning-Assessment of Mathematics through Problem Solving. The focus of this research is on mathematical reasoning processes, so based on the adopted theoretical framework, we seek to define what mathematical reasoning is, as wellas the main aspects that envolve it, through an understanding organized.This research follows an interpretative and qualitative perspec-tive in accordance with the methodological assumptions of Design- Based- Research. Data were collected through audios recording of dialogues between students and teacher, as well as written records made by students when solving the proposed problems. The discussions of three groups, composed of three studentseach, were analyzed. Thetranscribe and analyzed audios considering the theoretical foundation. As a result, we found that providing opportunities for situations involving unusual problems in mathematics’ contributed to the mobilization of mathematical reasoning processes such asconjecturing, justifying, exemplifying and validating, and for mathematical learning.