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Are You Ticketed to Win or Lose?

A humorous cartoon and related problems (and answers) about a raffle prize and probability are coupled with a full-page activity sheet.

Journal Article

Cover Mathematics Teaching in the Middle School

In Mathematics Teaching in the Middle School Volume 21 (2016): Issue 8 (Apr 2016)

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Quick Reads:A Circle Model for Multiplying Probabilities

a good idea in a small package

Diane S. Dowd

A circle activity promotes students' understanding of probability.

Journal Article

In Mathematics Teaching in the Middle School Volume 18 (2013): Issue 8 (Apr 2013)

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Mathematical Explorations: What a Pip! Probability and Efron's Dice

Ben C. Sloop and S. Megan Che

This investigation builds on students' understandings of fairness as they explore chance using a set of nontraditional dice with special properties.

Journal Article

In Mathematics Teaching in the Middle School Volume 17 (2011): Issue 2 (Sep 2011)

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Probability and Commutativity: A Possible Misconception

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.”