Diseño de una ingeniería didáctica para promover el razonamiento inductivo y el razonamiento deductivo en el contexto de la construcción de paralelogramos, utilizando software de geometría dinámica

Abstract

This paper presents the design of a sequence of activities from the theory approach Brousseau situations that contribute to the mathematics curriculum, especially the teaching of geometry. The activities are designed to encourage experimentation through inductive reasoning as a process of recognition and generalization of properties to gradually introduced in verification processes, anticipation and justification of property, own deductive reasoning. Mediation of dynamic geometry software (DGS) CaRMetal is proposed in order to highlight its advantages as a facilitator with which students can interact validate their actions thanks to the feedbacks of it, enabling adaptive learning