Teaching and learning of Linear Systems in education teacher through Problem Exploration-Posing-Solving

Abstract

This article aims to points out contributions of the mathematics teaching-learning methodology through Problem Exploration, Posing and Solving, combining Algebra Multiple Representations in the Linear Systems teaching in the pre-service teacher education. We opted for the content of Linear Systems given the need for an investigation that covered basic and higher education, since there is a distance in these two levels in Algebra teaching. The research that is characterized as teacher research was developed in a pre-service teacher education 5th grade classroom through a theoretical-practical workshop with 10 meetings. The data indicate that Multiple Representations and the transition between them, combined with Problem Exploration-Solving-Posing, favor a learning with more understanding, and collaborate in the construction of a new posture of the pre-service teacher in relation to the teaching of Linear Systems.