This handbook is designed to provide guidance for organizing and conducting mathematics contests so that all students can have the opportunity to participate profitably in competitive mathematics activities. A wide variety of competitions is described that have been designed for mathematics students of all ages. The distinctions and advantages of…

This document presents five activities which represent a part of the Comprehensive School Mathematics Program (CSMP) curriculum. The package is primarily designed to: (1) introduce instructors to one or more of the three non-verbal languages used in the CSMP elementary curriculum in such a way that teachers would want to pursue the possibility of…

Presented are a series of conjectures and proofs resulting from an examination of patterns and relationships among natural numbers. (JP)

This module considers ordinary linear differential equations with constant coefficients. The "complex method" used to find solutions is discussed, with numerous examples. The unit includes both problem sets and an exam, with answers provided for both. (MP)

This guide provides enrichment for students to develop tools and concepts used in various areas of mathematics. The first part presents arithmetic progressions, geometric progressions, and harmonic progression. In the second section, the concept of mathematic induction is developed from intuitive induction, using concrete activities, to the…

Presented are the results of a study conducted by a junior high school teacher with his own classes. The study is divided into two parts. The first part of the study attempted to improve mathematics attitude with enrichment activities. The second part attempted to change student attitudes by designing the curriculum according to parental…

This pamphlet consists of 17 brief chapters, each containing a discussion of a numeration system and a set of problems on the use of that system. The numeration systems used include Egyptian fractions, ordinary continued fractions and variants of that method, and systems using positive and negative bases. The book is informal and addressed to…

This book is a reproduction of a monograph written in 1906 to advocate the use of curve stitching in the early school years. The book was originally accompanied by a set of punched cards depicting geometric shapes; each card could be used in the construction of many varied designs. The book's preface is written by Mary Boole, to whom the technique…

Designed for the student who has completed the geometry series in the Quinmester Program, this guidebook on minimum course content provides an investigation of challenging mathematical activities which are not usually developed in other mathematics courses. The content includes brainteasers, puzzles, and game theory. Overall course objectives are…

This booklist was designed as a guide for selecting materials for inclusion in a secondary school mathematics library and for identifying new books and periodicals of professional interest to teachers of mathematics. Approximately 925 listings are included, some with annotations; about one-fourth of these are starred to indicate the author's…

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

Contained in this column are articles discussing the following topics: cross-number puzzles, an intuitive development of pi, a three-column proof format, and an easily constructed kit to be used in acquainting students with the wrapping function used in introducing circular functions. (MP)

The possibilities that magazines have to offer in the teaching of mathematics with consumer-related problems are discussed. (JT)

A variety of calculator activities is described for developing problem solving skills without getting involved in tedious computations. (JT)

The article includes a discussion of counting and counting strategies. In addition, there are eight problem sets appropriate for use with groups of different age and ability levels. Suggestions are given for finding variations of the problems. (PK)