Mathematical Inquiry and Problem Solving

The present work brings, divided into three chapters, classroom experiences, with theories and methodologies for teaching and learning mathematics, more specifically, algebra and geometry. We find specific software for their study, the so-called dynamic geometry software, which allows the analysis of graphs and figures, by moving and modifying the parameters of the equations, or of the geometric figures, conveniently to what is intended to be analyzed. Proposals such as these have been gaining space in research because they are characterized as a resource that allows drawing, manipulating and building geometric objects, facilitating a more organized and complete exploration of the conjectures that one intends to study.