The Interplay Between Theoretical and Experimental Probability: Beyond "Sample Size Matters"
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Abstract
This article presents a series of class activities that develop an extended examination of the interplay between theoretical and experimental probability. In some cases an experiment can be used to confi rm a theory and in other instances it can be used to develop a theory. Examples include coin-tossing, a dice game, and cup dropping with Monte Carlo approaches to probability discussed. This set of activities could be used with preservice teachers to improve their content knowledge in the area of probability as well as provide both a model of inquiry-based approaches and a forum for discussing pedagogical techniques involving hands-on activities. They could also be used in middle school classrooms to help students experience the power of probability experiments in examining real-life phenomena.