Problem solving methodology: conceptions and teaching strategies

This bibliographical research aims to present some reflections about the use of the methodology of problem solving in the school context. Initially, some historic conceptions about problem solving are related to the Modern Mathematics Movement. Later, we distinguish exercise, contextualized question and problem, since they are sometimes misused as synonyms. Next, we analyze the contributions and limitations of the use of teaching on, to and through the resolution of problems in the teaching and learning process of mathematical concepts and, finally, a proposal of teaching through problem solving is presented. This activity proposal is intended for students of the second grade of High School and aims to assist in the construction of concepts of Space Geometry. It is hoped by this reflection, to awaken in teachers the interest in using problem solving in the classroom, in order to promote meaningful learning.