A Norman window consists of a semi-circular section mounted surmounting a rectangular section. Modifications to a simple problem are presented that assume parts of the window are made with stained glass. The goal is to maximize the level of light transmission with a fixed perimeter. (MP)

An approach to teaching problem solving to preservice and in-service middle school teachers is described. They examined an unsolved question as a class research project. The process of developing the solution is detailed, and difficulties contained within the process are noted. (MP)

It is noted that all graphs of cubic equations are symmetric about their inflection points. This is proven through the use of some calculus and the fundamental theorem of algebra. A table sums up the nature of symmetry for polynomials of any degree. (MP)

A problem-posing approach is used to change a door problem that involves a linear hallway into one in which doors are in a circle. The new problem is noted to relate mathematically to concepts behind the spirograph. It is hoped the material will encourage teachers to use problem-posing. (MP)

The MIU system is presented as a potential instruction unit in mathematics involving the derivation of theorems. A program written in BASIC is included that can be used to generate new theorems. The MIU system can give students a glimpse into the meaning of artificial intelligence. (MP)

Examples of some geometric illustrations of limits are presented. It is believed the limit concept is among the most important topics in mathematics, yet many students do not have good intuitive feelings for the concept, since it is often taught very abstractly. Geometric examples are suggested as meaningful tools. (MP)

A procedure for constructing a magic cube is presented, with related teaching activities appropriate for students familiar or unfamiliar with the algorithm covered. (MP)

Describes a five-step graphing method for various trigonometric periodic functions. Emphases is on teaching constants and functions. (YP)

Discusses a calculation method to approximate pi. Describes how to get an approximation to the circumscribed and inscribed perimeters of regular polygons of n sides. Presents the computer program and result of the approximation. (YP)

Presented is a simple method which may be used to determine points of intersection in graphs of functions if they do exist. Several examples are given with illustrations of the functions. (CW)

An attempt to combine the advantages of group instruction with the advantages of individualized instruction is described. The rationale, procedure, and method are discussed in turn. Test results indicated that students learn at least as well by this combined method. Student opinion was generally favorable. (LS)

This article describes how logic is used as the basis of medical diagnosis, i.e., the presence or absence of certain symptoms implies the presence or absence of certain diseases. This usage is then illustrated with a real example. (MP)

The target point for the cue ball in a simplified game of billiards is computed through the use of line reflections and computations with complex numbers. (JT)

The principles of modern genetics are extended to study the extinction probabilities of such genetic diseases as sickle-cell anemia, Tay-Sachs disease, and cystic fibrosis. (JT)

Writing has a place in mathematics classes. It can be used to enhance learning by helping students organize their thoughts. How a journal can be used and analyzed are discussed. (MNS)