The regression effect is discussed, with examples from tests and from data on heights. Several problems to use in teaching about regression are included. (MNS)

A general model for solving algebra word problems requiring a linear solution in one variable is described. A step-by-step approach is illustrated, with a worksheet included. (MNS)

Use of the calculator to create a series of iterations to approximate i to some desired degree of accuracy is illustrated with three problems on interest rates. (MNS)

Many drugs are used up by the body at rates described in terms of exponential decay. Two simple exponential formulas are discussed. (MNS)

Computer science may foreshadow some near revolutions in school mathematics, concerning new ways of teaching much of the mathematics curriculum, increased emphasis on discrete mathematics, and the impact of symbolic mathematical systems. Each is discussed, with a distinction made between computer science and computer technology. (MNS)

Archimedes' shoemaker's knife problem is interesting in its own right and also allows the demonstration of heuristic teaching ideas and a different method of doing a routine construction. The focus in the article is on the thought processes involved and questions asked when attempting proofs with the problem. (MNS)

A science fiction approach is used to explore some unusual properties associated with the concept of infinity. (MP)

An introductory unit on slope, designed to give students a chance to discover some of the basic relationships between functions and slopes, is described. Programs written in BASIC for PET microcomputers were used. It is felt that students have the background to understand derivatives after experiences with this unit. (MP)

The problems involved in making reservations for airline flights is discussed in creating a mathematical model designed to maximize an airline's income. One issue not considered in the model is any public relations problem the airline may have. The model does take into account the issue of denied boarding compensation. (MP)

Explorations of problems involving the zero power are presented as routes through which instructors can take their students to reduce pupil uneasiness with the concept. Initial examination begins with routines for calculators, and discussion proceeds to more formal mathematics to generate more support for the definition of zero power. (MP)

An easy way to construct a dodecahedron, interesting connections between conic sections in the Cartesian system and limacons in the polar coordinate system, and the use of u-substitutions in simplifying the integration of certain functions are all explored. A BASIC program is provided with the limacon-conic section discussion. (MP)

A mathematical system based on six functions is illustrated. (MP)

Multiple examples of the mathematics involved in photography are given. (MP)