This is part two of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system as a progressing development, and metric and non-metric relations in geometry. Chapter topics include real numbers, similar triangles, variation, polyhedrons,…

Pascal's Triangle is examined within the context of providing a partial model for the outcomes of dice throws. Several issues are addressed regarding the nature of the pattern. Discussion leads to the development of a general formula for six-sided dice. Modifications for other than six sides are noted. (MP)

Record-breaking snowfalls are the starting point of a presentation that delves into many aspects of probability and interesting and unusual aspects of viewing independent, random phenomena. (MP)

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 material looks at: 1) Choosing a Clinical Test; 2) Evaluation of Diagnostic Tests; 3) Multi-Disease and Multi-Test Analysis; and 4) Medical Decision Analysis. It is felt users will be able to: 1) calculate the predictive value of a positive or negative test result in model clinical situations; 2) estimate the sensitivity and specificity…

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)

Presents activities in problem solving for levels K-2, 3-5, and 6-8 for each week of the month of March. Activities include open-ended problems and games that engage students' intellect and interest while working individually and cooperatively. (MDH)

These worksheets suggest activities through which secondary school students may be introduced to the ideas of simulation. All can be played as games to give students a feel for the situation modeled; most use coins or dice and a few use random digits. Directions are detailed for each of the 17 worksheets, with variations suggested for many. (MMS)

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…

This document consists of three modules. The first looks at applications of analysis to medical radiology. The goals are to provide: 1) acquaintance with a significant applied mathematics problem utilizing Fourier Transforms; 2) generalization of the Fourier Transforms to two dimensions; 3) practice with Fourier Transforms; and 4) introduction to…

This is an experimental SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system as a progressing development, and metric and non-metric relations in geometry. Chapter topics include why study mathematics, decimal and non-decimal numeration, the…