The author of this paper submits the thesis that learning requires doing; only through inquiry is learning achieved, and hence this paper proposes a programme of use of a modified Moore method in a Probability and Mathematical Statistics (PAMS) course sequence to teach students PAMS. Furthermore, the author of this paper opines that set theory…

The history of probability from ancient times is presented. The relationship between the mathematical and experimental definitions of probability are detailed. (MP)

Examples are presented of mathematics lessons which are motivated through mathematical curiosities found in "Ripley's Believe It Or Not." (JP)

Examples used to illustrate Simpson's paradox for secondary students include probabilities, university admissions, batting averages, student-faculty ratios, and average and expected class sizes. Each result is explained. (DC)

The Comprehensive School Mathematics Program (CSMP) is described as a complete elementary mathematics curriculum that provides a natural place for probability and statistics. The CSMP approach of innovative, pictorial techniques is summarized here, with emphasis on methods and activities seen as proven successful through the enthusiastic reception…

Three probability problems designed to challenge students are presented: Liars and Diamonds, Heads Wins, and Random Walks. Other statistic problems are suggested that could involve computer simulations. (MNS)

An "inference can" is described, with two games that allow students to observe and predict events, define population, and draw samples. (MP)

Several highly motivating lessons particularly pertinent to the study of mathematics in high schools and the first years of college are presented. These lessons fall into four categories: (1) problems that present a challenge and which are interesting for their own sake; (2) problems based on real situations that can be understood by the student;…

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)

The importance of including statistics and probability concepts in elementary mathematics instruction is discussed. Examples of student-centered classroom activities that introduce statistics are suggested, and six ideas central to statistics and probability are stated. (FG)

Presents mathematical models to determine whether seven-game baseball playoff series are significantly fairer than five-game series. Compares the results obtained from the models to actual playoff results. (MDH)

The practical use of such concepts as sets, probability and statistics are considered by many to be vital and necessary to our everyday life. This student manual is intended to familiarize students with these concepts and to provide practice using real life examples. It also attempts to illustrate how the insurance industry uses such mathematic…

Presents two methods of calculating the expected value for a participant on the television game show "The Wheel of Fortune." The first approach involves the use of basic expected-value principles. The second approach uses those principles in addition to infinite geometric series. (MDH)

Discusses the surprising result that the expected number of marbles of one color drawn from a set of marbles of two colors after two draws without replacement is the same as the expected number of that color marble after two draws with replacement. Presents mathematical models to help explain this phenomenon. (MDH)