Techniques for applying mathematical concepts in the real world: six rarely taught but crucial tools for analysis, research, and problem-solving. Many young graduates leave school with a solid knowledge of mathematical concepts but struggle to apply these concepts in practice. Real scientific and engineering problems are different from those found…

The purpose of these modules is to provide an introduction to the world of probability and statistics to accelerated mathematics students at the high school level. The materials are centered on the fictional town of Happy Shores, a coastal community which is at risk for hurricanes. Actuaries at an insurance company figure out the risks and…

Presents a brief historical sketch of the life and work of one of the founders of modern mathematical physics. Discusses three problem-solving applications of the Poisson distribution with examples from elementary probability theory. Provides background on two of his noteworthy results from the physics of oscillations and the deformation of rigid…

This text teaches an often intimidating and difficult subject in a way that is informative, personable, and clear. The author takes students through various statistical procedures, beginning with correlation and graphical representation of data and ending with inferential techniques and analysis of variance. In addition, the text covers SPSS, and…

The activity uses an area model to analyze probabilities associated with games of chance. Three activity sheets are included, with teaching suggestions. (MNS)

Explores applications of the Fibonacci series in the areas of probability, geometry, measurement, architecture, matrix algebra, and nature. (MDH)

Taguchi methods are methods of product quality improvement that analyze major contributions and how they can be controlled to reduce variability of poor performance. In this approach, knowledge is used to shorten testing. Taguchi methods are concerned with process improvement rather than with process measurement. This manual is designed to be used…

Five sets of activities for students are included in this document. Each is designed for use in junior high and secondary school mathematics instruction. The first is concerned with the use of models in mathematics. The second contains a variety of activities involving polygonal numbers. The third set of activities includes a variety of games for…

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)

Five sets of activities for students are included in this document. Each is designed for use in junior high and secondary school mathematics instruction. The first "Note" concerns magic squares in which the numbers in every row, column, and diagonal add up to the same sum. An etching by Albrecht Durer is presented, with four questions followed by…

Technological advances during the past few decades have revolutionized many complex systems that influence human activity. As the rate of technological progress accelerates, these systems will become more complex, and new ones will evolve. Citizens in a technological society need to be able to make intelligent choices about how technology will…

This package introduces college students to the elements of the Prince System, a widely used system for making political forecasts and developing political strategies. Designed to be completed in two to three weeks, the two exercises enable students to (1) identify political issues that the Prince System can help them understand, (2) determine the…

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…

The focus here is on the students' uses for numbers in both school and home settings. The included activities emphasize a growth and development theme involving various aspects of data collection, data interpretation, probability, and statistics. Also included are parent-child extended activity worksheets. (JJK)

Five sets of activities for students are included in this document. Each is designed for use in junior high and secondary school mathematics instruction. The first Note concerns mathematics on postage stamps. Historical procedures and mathematicians, metric conversion, geometric ideas, and formulas are among the topics considered. Successful…