The lottery has rich potential for mathematical explorations. It serves as a real-world context to explore concepts of permutations, combinations, sample space, and probability in terms of making sense of the lottery games. The lottery offers additional possibilities in terms of scaling, data analysis, and spatial analysis. Finally, by readily…

In the author's experience with this activity, students struggle with the idea of representativeness in probability. Therefore, this student misconception is part of the classroom discussion about the activities in this lesson. Representativeness is related to the (incorrect) idea that outcomes that seem more random are more likely to happen. This…

This article introduces prediction as a useful tool to promote mathematical reasoning. First, the article addresses prediction expectations in state standards and gives examples. It also provides a classroom example and activities to illustrate what prediction can look like and how it can serve as a building block for the development of students'…

Presents an activity in which students investigate geometric probability at a school fair. (YDS)

Discusses how dice games pose fairness issues that appeal to students and examines a structure for three games involving two dice in a way that leads directly to the theoretical probabilities for all possible outcomes. (YDS)

Describes a lesson plan in which students apply their mathematical intuition to determine win-loss possibilities of teams in a sports league and develop a formula for calculating the magic number for clinching first place. (YDS)

Describes a series of activities using attribute blocks designed to help construct knowledge about and develop conceptual understanding of probability. (KHR)

Describes how to use common dice numbered 1-6 for simple mathematical situations including probability. Presents a lesson using regular dice and specially marked dice to explore some of the concepts of probability. (KHR)

Provides an historical look at probability games of chance and some of the mathematicians involved in the development of basic concepts. Includes exploratory activities for students. (YDS)

Discusses a game to present middle-grade students that involves both choice and chance to help them understand the significance and usefulness of mathematical probability. Discusses winning versus self-improvement and provides a student worksheet to help students in thinking about the game. (MKR)

Describes how Logo computer simulations, or microworlds, were incorporated into a series of lessons on the nature of probability. Data were generated and displayed using Logo. (MKR)