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Kristy B. McGowan and Nathan J. Lowe Spicer

Students analyze items from the media to answer mathematical questions related to the article. The clips this month, from the Colorado State lottery and a Marilyn vos Savant column on probability, involve probability and counting problems.

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Donald E. Hooley

The dice game Farkle provides an excellent basis for four activities that reinforce probability and expected value concepts for students in an introductory statistics class. These concepts appear in the increasingly popular AP statistics course (Peck 2011) and are used in analyzing ethical issues from insurance and gambling (COMAP 2009; Woodward and Woodward 1994). In addition to investigating these four fun activities, we also investigate a strategy to optimize a player's score on a turn in Farkle and indicate possible additional explorations.

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Kenneth A. Horwitz

Several years ago I became the lead teacher for a newly created statistics course. I wanted the course to emphasize projects that would allow students to apply statistical knowledge to real-world situations. My Bulldog Lottery lesson allows students to apply the concepts of probability and expected value to a real-world phenomenon.

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J. Jeremy Winters and Dovie L. Kimmins

Ann stated, “If you roll two dice (number cubes) and the numbers are 1 and 2, saying that 1 and 2 and 2 and 1 are different things, that is not true. It is like saying 8 + 9 and 9 + 8 have different outcomes.”

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Readers comment on published articles or offer their own ideas.

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Hollylynne S. Lee, Tina T. Starling, and Marggie D. Gonzalez

Research shows that students often struggle with understanding empirical sampling distributions. Using hands-on and technology models and simulations of problems generated by real data help students begin to make connections between repeated sampling, sample size, distribution, variation, and center. A task to assist teachers in implementing research-based strategies is included.

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A set of problems of many types.

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Readers react to published articles or submit their own mathematical explorations.

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A set of problems of many types