Teaching Probability by Using Geogebra Dynamic Tool and Implemanting Critical Thinking Skills

Abstract In this paper we explore the use of GeoGebra (as a visual dynamic tool) and critical thinking skills for supporting high school students’ understanding of probability, more specifically, understanding of conditional probability and Bayes’ theorem. The research presented is part of a broader research project on improving high school students’ risk literacy and critical thinking. Decisions that involve the understanding of risk are made in all aspects of life including health (e.g. whether to continue with the course of medication), finances (paying for extra insurance) and politics (preemptive strikes versus political dialogue). These decisions are not only common, but they are also critical for individual and societal health and well being. Some studies have shown that people are routinely exposed to medical risk information and that their understanding of this information can have serious implications on their health. Despite its importance, most people are unable to adequately interpret and communicate risk. The goal of our research is to substantiate the claim that dynamic learning environment enables student to grasp abstract mathematical concept by manipulating mathematical objects constructed within these systems and implementing critical thinking skills.