Equal representation as a social issue is about the participation of one social group, in a particular context, in proportion to the numbers in the group within the total population. The proportion of women in parliament, and of the participation rate of students of lower socioeconomic status in higher education, are examples. The aims of this…

This brief investigation exemplifies such considerations by relating concepts from number theory, set theory, probability, logic, and calculus. Satisfying the call for students to acquire skills in estimation, the following technique allows one to "immediately estimate" whether or not a number is prime. (MM)

Examines ways to integrate a discussion of lotteries into a lesson on combinatorics and probability to enhance the teaching and learning of number sense. (Author/MKR)

This is part three of a three-part manual for teachers using SMSG high school text materials. Each chapter contains a commentary on the text, answers to the exercises, and a set of illustrative test questions. Chapter topics include: (1) the system of vectors; (2) polar form of complex numbers; (3) sequences and series; (4) permutations; (5)…

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)

This book is designed to introduce the reader to some fundamental ideas about probability. The mathematical theory of probability plays an increasingly important role in science, government, industry, business, and economics. An understanding of the basic concepts of probability is essential for the study of statistical methods that are widely…

This book is designed to introduce the reader to some fundamental ideas about probability. It is assumed that the reader has completed chapters 1 to 7 of SMSG Introduction to Probability, Part 1. While the book is designed for junior high school students, some elementary algebra is required for a number of the exercises. The difficult exercises…

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…

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. This series makes available expository articles which appeared in a variety of mathematical periodicals. Topics covered include: (1) the history of the number pi; (2) what's new about pi; (3) the number pi; (4) pi and probability; and (5) from the…

This teacher resource manual is designed to help teachers implement the Mathematics Preparation 10 course. This manual is a support document that provides helpful information to classroom teachers. The general and specific outcomes of the program of studies for Mathematics Preparation 10 are discussed. These outcomes have been shared to show that…

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)

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…

Behavioral objectives for grades 10 through 12 are specified for plane geometry, algebra, general mathematics, computer mathematics, slide rule mathematics, basic college mathematics, trigonometry, analytic geometry, calculus and probability. Most sections present material in terms of portions of a school year. At least one major objective is…

The probability of winning the contest was analyzed, with the mathematical solution and a computer simulation given. A flowchart and computer program are both included. (MNS)

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)