Some theorems concerning factorization of Pythagorean triples are presented. (SD)

Activities in which the claims of psychics are evaluated can be used in probability classes. (SD)

The author argues that the "least number principle" (well-ordering for positive integers) is more intuitively acceptable to high school students than mathematical induction which can be derived from it. (SD)

An approach to solving equations is presented. (SD)

Enrichment topics dealing with solutions of polynomials over modular systems are described. (SD)

The inequality involving the arithmetic and geometric means is a powerful tool in dealing with applications of mathematics. It is very important in geometric programming. The article discusses this inequality and demonstrates two real world applications accessible to secondary teachers and students. (Author/KM)

The author observes that the predictor functions determined geometrically by Ranucci (EJ 090 184) can be algebraically derived, and that capable students might enjoy verifying them. Algebraic formulations and derivations are provided. (SD)

A controversy in the college-level business arithmetic or business mathematics course is whether the vehicle for learning the subject matter of the course should be algebra or arithmetic. (Author)

When studying wave interference, one often wants to know the difference in path length for two waves arriving at a common point P but coming from adjacent sources. For example, in many contexts interference maxima occur where this path-length difference is an integer multiple of the wavelength. The standard approximation for the path-length…

This workbook is designed to be used as a review at the end of a college level course in algebra and trigonometry. Four review sheets containing 117 problems provide hints and detailed solutions for each problem. (YP)

This paper contains an elementary and short proof for the case that the underlying distribution function F is discrete, and then extends the result to the general F. In other proofs underlying iid sequences of random variables with continuous distributions are considered to be the "ideal" case. In this paper discretization of the underlying iid…

This book provides a general framework for organizing the instructional program in algebra. For each topic, a general approach for instruction, together with specific strategies, activities, and resources that can be used daily, are provided. Also included are worksheet pages that can be used with students. Most activities provide for student…

This text provides a one-semester study of analytic geometry for secondary school students. It is designed for use at the 12th grade level. A deliberate effort was made to tie this text to previous SMSG texts; the usual language of sets, ordered pairs, number properties, etc. are included. This flavor is what distinguishes this book from others in…

This is a supplementary unit to Mathematics for High School, Intermediate Mathematics, Part 1. In this publication, real numbers and rules for operating them are examined. The study begins by examining whole numbers and some of the properties of addition and multiplication of whole numbers. Most of the basic rules for algebra are developed from…