Three activities that involve space perception, the concept of geometric equivalence, and Euler's formula regarding regular polyhedra are described. (JT)

Four alternatives to the traditional testing and grading procedures are described. (JT)

A system similar to the slope method of graphing a linear equation is described for graphing parabolas. (JT)

Three experiments which use probabilities to approximate pi are described. (JT)

An application of the formula for finding the sum of an infinite geometric series is described through the use of Pierre Fermat's method for finding the area under a curve. (JT)

A course labeled Liberal Arts Mathematics is described. It includes: historical perspective, logic and proof, the structure of number systems, mathematics in art and nature, data analysis with probability and statistics, and computing. A list of references for each topic is included. (MNS)

The contributions of the Persian scholar Karaji are described. Perhaps his greatest contributions were his arithmetization of algebra and the geometrical representation of algebraic operations. (MNS)

Four noncommutative groups are given, to be used by students to construct the operation tables and verify that each structure is noncommutative. (MNS)

The probability of selecting two matching socks is discussed. (MNS)

Circuits are described, with discussion on how to help students find the algorithms to solve a variety of problems involving circuits. (MNS)

A proof of the conic sections of an ellipse is presented. (MNS)

A problem that most high school calculus students can explore is presented. It can help students understand such mathematical topics as functional notation, composition of functions, the solving of systems of equations, and the derivative. A computer program is included. (MNS)

Geometric interpretations of algebraic statements are proposed, both to clarify the meaning of algebra and to encourage students to look for spatial or diagrammatic models. Binomial grids for several equations are illustrated. (MNS)

Two brief articles are included, one on a different method for solving percentage problems, and one on a trick for the calculator involving the sine to find one's age. (MNS)

Some ways to help students become numerate are presented: discussion and interaction, active exploration, estimation and visualization, and interrelating concepts. How to promote each in the classroom is discussed. (MNS)