Describes an activity in which students investigate patterns and discrete mathematics found in telephone numbers. (YDS)

Presents an activity introducing probability and patterns to multigrade students. Uses the storybook "The Thirteen Days of Halloween" to demonstrate numbers, patterns, and probability. (ASK)

Suggests guided discovery techniques to help students find the rule by which an arrival sequence of consecutively numbered school buses is considered a "success," and presents arguments by Honsberger for a formula to calculate the number of successful patterns for a given number of buses. (SEW)

Presents a dice game that students can use as a basis for exploring mathematical probabilities and making decisions while they also exercise skills in multiplication, pattern identification, proportional thinking, and communication. (ASK)

Presents the problem of points and the development of the binomial triangle, or Pascal's triangle. Examines various attempts to solve this problem to give students insight into the nature of mathematical discovery. (KHR)

Outlines several recommendations for teaching probability in the secondary school. Offers an activity that employs simulation by hand and using a programmable calculator in which geometry, analytical geometry, and discrete mathematics are explored. (KHR)

Presents a problem-solving activity, the birth order problem, and several solution-seeking strategies. Includes responses of current and prospective teachers and a comparison of various strategies. (YDS)

Presents four cases of real-world probabilistic situations to promote more effective teaching of probability. Calculates the probability of obtaining six of six different prizes successively in six, seven, eight, and nine boxes of cereal, generalizes the problem to n boxes of cereal, and offers suggestions to extend the problem. (MDH)

Uses a graphing calculator to predict the record for running a mile, throwing a shot put, and high jumping for any year in the future and the probable record for any year before statistics were kept, based on the statistical analysis of prior records. Data tables and a computer program are provided. (MDH)

Presents 5 school and home activities for the K-2, 3-4, 5-6, and 7-8 levels appropriate for beginning the school year that incorporate problem solving, collecting and analyzing data, and exploring patterns. Topics include a shopping spree, seat assignment, map-interpretation skills, and probability. Includes reproducible worksheets. (MDH)

This article discusses the analysis of a decision-making process faced by contestants on the television game show "The Price is Right". The included analyses of the original and related problems concern pattern searching, inductive reasoning, quadratic functions, and graphing. Computer simulation programs in BASIC and tables of…

Describes two activities to introduce or extend the concept of the natural number e. Students conduct a lottery using either a table of random numbers or a computer simulation to link experimental probability results to the theoretical probability and to the number e. (MDH)

Describes three activities to teach mathematical concepts involving probabilities related to outcomes using "Sicherman" and other dice; geometric representations of algebraic identities; and the volume of a cone. (MDH)

Discusses the use of games to learn mathematics both in the classroom and at home. Games promote nonroutine learning, cooperative learning, problem solving, communication, and reasoning. Included are store-bought games, games made specifically for educational purposes, and multicultural games. A table lists many common games and their uses. (JAF)