Worksheets are provided to help students visualize, identify, and describe the solids generated by rotating polygons about axes in various positions, to relate these figures to cylinders and cones, and to compute their surface areas and volumes. (MNS)

An interesting, alternative proof for an arithmetic series is developed in detail. (MNS)

The article presents and discusses an optimization problem concerned with observing objects from a moving car. (MK)

Four unusual mathematics problems with interesting routes to solution are presented. A general method of solution to problems of this type is proposed. (MP)

Ways of using the calculator as a vehicle for investigating one aspect of the square root concept are illustrated. (MK)

A method for sketching functions and finding slopes and roots rising synthetic division is illustrated. (MK)

A generalized method of synthetic division where the divisor polynomial may be of any degree equal to or larger than 1, and the dividend polynomial may be of equal or larger degree than the divisor polynomial and a generalization of the familiar remainder theorem, are presented. (Author/MK)

The topics of angle construction, angle trisection, and regular polygon construction with only a straightedge and compass are discussed for angles with integer measure. (MP)

A method is developed for finding the equations of two circles that intersect at points with integral coordinates. Such equations are useful for the introducing systems of quadratic equations. (MP)

A detailed proof is given of a theorem that characterizes the vertex sequence of any convex polyhedron and establishes the existence of only 13 Archimedean solids. (MP)

Some reflections by a teacher include personal satisfaction, relevance of mathematics, reasons for teaching, and the unique contributions of mathematics. (MP)

An example is given of a class of problems whose solutions require the use of a scientific calculator in order to plot the graphs. (MP)

A technique is given for solving problems involving a balance scale and a number of coins which are to be sorted in a certain number of weighings. (MP)

A number of questions are posed that can be answered with the aid of calculus. These include best value problems, best shape problems, problems involving integration, and growth and decay problems. (MP)

The five mathematics problems to be solved by high school students participating in the Fifth U.S.A. Mathematical Olympiad are given. (DT)