A proof is given concerning the intersection of the medians of a triangle, then the problem is generalized and discussed. (DT)

A general definition of congruence for all geometric figures is developed. (DT)

A geometric method of solving quadratic equations is described. (DT)

The material opens with a brief history of mathematics competitions in China. Translations of the problems that made up the two 1979 contest papers used are provided. The first set emphasized basic knowledge and degree of mastery, the second set emphasized application of knowledge and analysis of problems. (MP)

Data on the ability of pupils to deal with measurement concepts at the middle and high school levels are discussed. Results on items related to area and volume concepts indicate that conceptual problems account for most of the errors that students make on these topics. (MP)

A method for finding the complex roots of a graph is detailed. A conjecture is made regarding the nature of zero points of fourth-degree polynomial functions, but it is not proven in general. Mathematical induction is viewed as a promising tool to prove the conjecture that turned out unproductive. (MP)

A teacher presents the case for organizing a mathematics club and outlines the procedures for doing so. (MK)

A "lab method" for solving quadratic equations is presented. Suggestions for applying the method in the classroom are given. (MK)

This article examines methods of solution, including a computer program, of a well-known puzzle. (MK)

A classroom game patterned after "Hollywood Squares" is described as a way to disguise drill on basic skills and provide an incentive for doing homework. (MP)

Several logical methods for dividing circles and time into legitimate metric increments are examined and discussed as being convenient for conducting business, doing mathematics, navigating, and scheduling our daily lives. (MP)

The chief pedagogical advantages of the metric system are discussed as being its coherency and an aid to learning. The reasons for converting to the metric system are discussed. (MP)

Topics covered are: a game to provide drill with linear equations; the relationship between area and perimeter in a triangle; a new form for factoring polynomials; and a technique for graphing inverse functions. (MP)

Two well-known theorems from geometry are shown to be essentially the same using the principle of duality of lines and points. (MP)

Six conjectures are established concerning a rectangular solid with the lengths of all its face diagonals and the lengths of all its edges being positive integers. (MP)