The problems presented at the U.S. Sixth Mathematical Olympiad as well as how the Olympiad selects, trains, and encourages future mathematicians is described. (JT)

The topics discussed are, "Helping Students Understand the Distributive Property,""Converting from Base 10: Nonintegral Bases?,""Rapid Mental Squaring of Mixed Numbers," and "Some Nonstandard Binary Operations and their Properties." (JT)

Three worksheets explore perfect, deficient, abundant, and amicable numbers by attaching mystical connotations to numbers and their divisors. (JT)

Patterns that appear in the repeating digits of a decimal are used to help convince students that any infinite repeating decimal can be written in the form of a rational number. (JT)

Generating functions for the columns in Pascal's triangle are constructed through algebraic and geometric interpretations. (JT)

An unusual mathematics problem involving two buckets, each of a different capacity, is discussed and analyzed. (JT)

The use of trigonometry in making astronomical calculations prior to the invention of logarithms is discussed. (JT)

Strategy games are used to expose teachers and their students to the techniques and strategies involved in true problem solving. (JT)

Ten problems involving large calculations are described for classroom use with a calculator. (JT)

Three different geometric constructions of the parabola are described.

Relationships between elementary analytic geometry and several types of number sequences are discussed. (JT)

Teaching ideas are shared in three separate articles titled, "Something Different for Middle School Mathematics,""A Discovery Approach for the Y-Intercept," and "How to Get Off the Track in One Easy Lesson". (JT)

Two graphing activities are supplied for providing practice in plotting points in the rectangular coordinate system. (JT)

The principles of modern genetics are extended to study the extinction probabilities of such genetic diseases as sickle-cell anemia, Tay-Sachs disease, and cystic fibrosis. (JT)

The characteristics and needs of mathematics teachers of all levels of education are discussed. The NCTM reviews its worth in meeting those needs. (JT)