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Abstract:
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Simulation is an effective tool for analyzing probability models as well as for facilitating understanding of concepts in probability. We will discuss tactile and technology-based simulation activities for use with a "simulate everything" approach to teaching probability.
Unfortunately, implementing a simulation from scratch often requires users to think about programming issues that are not relevant to the simulation itself. We have developed a Python package called Symbulate (https://github.com/dlsun/symbulate) which provides a user friendly framework for conducting simulations involving probability models. The syntax of Symbulate reflects the "language of probability" and makes it intuitive to specify, run, analyze and visualize the results of a simulation. Moreover, Symbulate's consistency with the mathematics of probability reinforces understanding of probabilistic concepts. We will demonstrate Symbulate, discuss its main pedagogical features, present examples of Symbulate graphics, and share some of our experiences using Symbulate in courses.
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