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

An activity which involves spending money using department store catalogues, writing checks and balancing bank accounts as a pre-holiday mathematics lesson is described. (JT)

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

The author discusses the use of the duality principle in combination with the hierarchy of algebraic operations in helping students to retain and use definitions and rules for arithmetic and geometric sequences and series. (MN)

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)

This biography of the mathematician Girolamo Cardons (1500-1576) sketches his life and discusses his mathematical works, which were controversial at the time. (SD)

The test presents tasks to allow students to demonstrate their ability to carry out practical tasks and communicate mathematical ideas. The two tasks are presented and discussed. (MNS)

Presented are examples from geometry that are designed to investigate whether situations fit Euclidean geometry. Diagrams and activities are provided for examples. (RH)

Described is a method of teaching geometric constructions. The method relates five basic constructions to the properties of a rhombus. (RH)

Outlines the sequence of events that led to the United States of America Mathematical Olympiad (USAMO), which took place on May 9, 1972, and U.S. participation in the International Mathematical Olympiad. Includes a table showing the rankings of totals of team scores of participating countries in the IMO, 1959-1985. (JN)

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)