Draw on two simulations to introduce compound events and help your class make connections between experimental and theoretical probabilities.

Mathematics Teacher: Learning and Teaching PK-12
  • Batanero, Carmen. 2015. “Understanding Randomness: Challenges for Research and Teaching.” In CERME 9: Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education, edited by Konrad Krainer and Matija Lokar , pp. 3449, Charles University, Prague, Czech Republic, February 4–8, 2015.

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  • Biehler, Rolf , Dani Ben-Zvi , Arthur Bakker , and Katie Makar. 2013. “Technology for Enhancing Statistical Reasoning at the School Level.” In Third International Handbook of Mathematics Education, edited by M. A. (Ken) Clements , Alan Bishop , Christine Keitel-Dreidt , Jeremy Kilpatrick , and Frederick Koon-Shing Leung , pp. 64389. New York: Springer.

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  • Maxara, Carmen , and Rolf Biehler. 2007. “Constructing Stochastic Simulations with a Computer Tool—Students’ Competencies and Difficulties.” In Proceedings of the Fifth Congress of the European Society for Research in Mathematics Education, edited by Demetra Pitta -Pantazi and George Philippou , pp. 76271, University of Cypress, February 22–26, 2007.

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  • Moritz, Jonathan , and Jane Watson . 2000. “Reasoning and Expressing Probability in Students’ Judgements of Coin Tossing.” In Mathematics Education beyond 2000, Proceedings of the Annual Meeting of the Mathematics Education Research Group of Australasia, pp. 44855, Freemantle, Western Australia, July 5–9, 2000.

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  • National Governors Association Center for Best Practices (NGA Center) and the Council of Chief State School Officers (CCSSO). 2010. Common Core State Standards for Mathematics. Washington, DC: NGA Center and CCSSO. http://www.corestandards.org.

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  • Tversky, Amos , and Daniel Kahneman. 1974. “Judgment Under Uncertainty: Heuristics and Biases.” Science 185, no. 4157 (September 27): 112431.

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