Title: Learning to Pose and Solve Problems with GeoGebra

Speaker(s): José N. Contreras

Abstract: In this presentation, I will illustrate how my students and I have used a problem-posing framework and GeoGebra to pose and solve Varignon problems using four main strategies: Specializing, generalizing, extending, and reversing. To enrich the students’ experience, I start the investigation with the following version of the Varignon’s problem: Let E, F, G, and H be the midpoints of the consecutive sides of a parallelogram ABCD. What type of quadrilateral is EFGH?