Investigated with 26 gifted seventh-grade girls was the influence of an experimental summer mathematics acceleration program on later mathematics course-taking behavior. Classes were designed to provide social stimulation through such methods as using a woman teacher and assistants for role models, informal structure, organization for small group…

Examples of activities involving geometric construction are suggested for discovery-oriented instruction. (SD)

As part of the "Educating Gifted and Talented Students" series, the booklet offers strategies for teaching mathematics to gifted and talented students. Methods for identifying mathematical ability are reviewed and a two stage method of identification is highlighted which involves screening students in an already chosen grade through two different…

This book is a partially annotated bibliography of books, articles, and periodicals concerned with mathematical games, puzzles, and amusements. It is a reprinting of Volume 1 of a three-volume series. This volume, originally published in 1955, treats problems and recreations which have been important in the history of mathematics as well as some…

It is extremely difficult to extend in a natural way the concepts developed in high school geometry to motivate the concepts of trigonometry. To solve this difficultry, the author defines "sensed angles" as ordered pairs of rays and makes appropriate definitions which yield the familiar angle properties of plane geometry. He then shows how this…

This book is a sequel to MATHEMATICAL CHALLENGES, which was published in 1965. In this sequel are 100 problems, together with their printed solutions. The problems range from those that are quite simple to those that will challenge even the most ardent problem solver, and they include examples from algebra, geometry, number theory, probability,…

This handbook provides suggestions for teaching topics in seventh and eighth grade mathematics and was intended to be used as a supplement to the seventh and eighth grade syllabus (see SE 016 446). Optimal materials, activities, and approaches are suggested for the following topics: sets; numeration systems; natural numbers, whole numbers,…

This book, photographically reproduced from its original 1942 edition, is an extended essay on one of the three problems of the ancients. The first chapter reduces the problem of trisecting an angle to the solution of a cubic equation, shows that straightedge and compasses constructions can only give lengths of a certain form, and then proves that…

Problems involving the generation and counting of isosceles triangles interior to a given isosceles triangle are described. (SD)

A series of maps is presented for coloring with the fewest possible colors. (SD)

Discovering 3 by 3 magic squares, using numbers 1 through 9, is presented as a learning activity on three different levels. (MP)

This monthly column contains teaching suggestions on: using codes to convey information, flow proofs in geometry, and volleyball and probability. (MP)

Examples are given of several compound games of strategy that involve mathematical theory and provide new bases for understanding and axiomatizing the concept of "number." (MN)

Selected examples of definitions, rules, and techniques found in several mathematics textbooks circa 1776 are presented. (MN)

A Mathematics Colloquium program for broadening the mathematics education of graduate students is described. In the program, pre-colloquium lectures are given to provide enough background material to make the general ideas of the colloquium lecture understandable to the interested graduate student. (MN)