Presents sports-oriented examples (cricket and football) in which Monte Carlo methods are used on microcomputers to teach probability concepts. Both examples include computer programs (with listings) which utilize the microcomputer's random number generator. Instructional strategies, with further challenges to help students understand the role of…

Tasks in which students were asked to write sentences concerning the relationships between pairs of probability concepts are presented and discussed. Methods for using writing tasks in the mathematics classroom are suggested. (DT)

Three questions dealing with hypothesis testing are presented. Activities that can be best worked with calculators as tools are detailed and suggestions for extensions of these problems are given. (MP)

Explored are the distributions of residual components in two model systems. A system of components with exponentially distributed lifetimes and the two-dimensional "leaf model" in which objects fall on a plane with positions independent and normally distributed are discussed. Included are the definition, application, computations, and theorem. (KR)

Discussed are solutions to the problem "What is the expected number of rolls for the total first to exceed 6?" Several algebraic solutions are presented. A computer program which may be used to simulate this problem is included. (CW)

Revealing or visualizing the thinking involved in making clinical decisions is a challenge. A case study is presented with a visual implement for sharing the diagnostic process. This technique adapts the Bayesian approach to the case presentation. Pretest probabilities and likelihood ratios are gathered to obtain post-test probabilities of every…

Analysis of variance (ANOVA), a technique included in many introductory statistics courses, analyzes the relationship between a quantitative dependent variable and one or more independent qualitative variables. The nature of the relationship is expressed in a model with unknown parameters. Many textbooks emphasize the mechanics of the technique…

The primary aim of this guide is to aid teachers in planning and preparing a senior high school mathematics course for students preparing for college work. It is divided into separate one-semester courses of seven chapters each. The first-semester course consists of a traditional approach to the introduction of trigonometry and trigonometric…

Game theory is appropriate as a topic for an honors seminar for high school students. Matrices provide a model for analyzing certain situations involving conflict, and probability theory can be used to determine the best strategies for the players. Variations on the ancient game of morra are discussed. (MNS)

Listed are the K-4 and 5-8 Standards involving probability. Three activities are suggested for grades K-4 and four activities are suggested for grades 5-8. In each activity, materials, concepts to be learned, and teaching methods are discussed. (CW)

Presented is an example of a question that can be used to investigate probability and random triangles. Included is the question, analysis, and procedure for solving the question. (KR)

Presents an activity for introducing probability by investigating the Chinese policy of having one child per family and a one-son policy of some rural Chinese. Discusses features of the problem, including counterintuitiveness, multiple options for analysis, and thought experiments. (MKR)

Integrating mathematics across the curriculum offers students the opportunity to link ideas in a natural, impactive way. In this article, the author shares some interactive math activities that she used in a fourth-grade class on "Cinco de Mayo," a holiday honoring Mexican independence. These fun activities not only allowed connections to be made…

This study considers the teaching of probabilities and statistics to a group of preschool children using traditional classroom activities and Internet games. It was clear from this study that children can show a high level of understanding of probabilities and statistics, and demonstrate high performance in probability games. The use of Internet…

This book contains a classroom-tested approach to the teaching of problem solving to all students in Grades 6-8, regardless of ability. Information on problem solving in general is provided, then mathematical problems on logic, exponents, fractions, pre-algebra, algebra, geometry, number theory, set theory, ratio, proportion, percent, probability,…