A formula comparable to Pick's formula for area of a polygonal region on a geoboard is presented for the situation in which the standard unit is an equilateral triangle instead of a square. (JP)

A particular shot on a pool table is analyzed using the concept of similar triangles, to introduce the equivalence of the "incident-reflection" principle and the "minimum-distance" principle. (CR)

This booklet is a revised edition of Donovan Johnson's "Paper Folding for the Mathematics Class" (ED 077 711). It begins with directions for folding basic constructions such as as a straight line, the line perpendicular to a given line passing through a given point, and the bisector of an angle. Subsequent chapters cover concepts related to…

This paper reviews and synthesizes the results from 42 research reports dealing with acceleration of mathematics programs for talented junior high school students. The effects of acceleration and enrichment are compared, and it is concluded that acceleration is preferable. The question of optimal grade level for initiating accelerated programs,…

Directions and materials for 57 mathematical games and activities are provided in this commercially-prepared package. Suggested use is with pre-school through third grade levels. General content areas include functions and graphs, geometry, logical thinking, measurement, numbers and operations, problem solving, sets, and statistics and…

This volume, a reprinting of a classic first published in 1952, presents detailed discussions of 26 curves or families of curves, and 17 analytic systems of curves. For each curve the author provides a historical note, a sketch or sketches, a description of the curve, a discussion of pertinent facts, and a bibliography. Depending upon the curve,…

This document is a source book for those who see the need to provide more meaningful mathematical experiences for students who have experienced little or no success in traditional programs. It is in four parts. In the first part, three innovative general mathematics projects are described. The second part outlines the mathematics laboratory…

Designed for the student who has mastered the skills in Math Structures 1 and 2 (of the Quinmester Program), this course includes work with flow charts, sequences and series, Pascal's triangle, magic squares, number patterns, similar figures, and coding. Each topic has a suggested time limit, performance objectives, teaching suggestions, and…

Properties of a given array of numbers are discussed and some sample activity cards involving discovery of number patterns are presented. (MP)

A program utilizing minicalculators in a mathematics class at the eighth grade level is described. The recommendation is made that the utilization of calculators not exceed one experience per week. (MN)

The target point for the cue ball in a simplified game of billiards is computed through the use of line reflections and computations with complex numbers. (JT)

The trend toward forcing early specialization on the part of the undergraduate mathematics student is questioned by the author in connection with its effect on inhibiting communication within the mathematics community itself as well as between it and those outside of it. A Mathematics Clinic, developed to broaden the student's scope of…

A unique magic hexagon, which can be used to help improve students' computational skills, is presented. (JT)

The game of Chomp is described; it provides an opportunity to build a mathematical system. Definitions, theorems, and proofs are included. (MNS)

A modern adaptation of the historic lattice algorithm which can be used for multiplication and division is discussed. How it works is clearly illustrated. (MNS)