Author attempts to introduce students to the mental structures which characterize various areas of mathematics. (Author/RK)

This column contains brief notes on graphing in three dimensions; patterns in Pascal's triangle; plotting graphs by computer; and an application of the hypocycloid. (MM)

It is noted that interest in tennis has risen dramatically. It is felt the knowledge and application of some basic geometric concepts can help improve tennis insight and competence and increase enjoyment. Tennis is seen as complex, and the view expressed is that anything simplifying mechanics or strategy is welcome. (MP)

Explorations of Pascal's triangle through computer programming are described. Programming offers different methods and techniques that enrich the topic. (MNS)

Suggestions are given for helping mathematically gifted, creative, and talented students by grouping, organizing for enrichment, and using mathematics to challenge. Specific activities are included. (MNS)

The combination of dramatics with mathematics is promoted. The script of a play "Even Nothing is Something" is presented in full. The material is used to convey mathematical concepts through the use of plays and skits. It is noted that students who struggle with daily work sparkle in the plays. (MP)

Optical illusions are assumed to be of interest to high school mathematics students. The article indicates how a topic can be both educational and entertaining. Readers are invited to try to construct some illusions on their own, and to see if they can classify them. (MP)

The approach is to fill positions in a star shape with values from a set so that the sum of each line is equal to the sum of every other line. There are four values in each of five lines. Related problems based on other shapes are noted. (MP)

Examples selected illustrate the two-way nature of links between mathematics and geography. Discussion and cooperation are viewed as needed between various teachers in school to ensure that pupils appreciate that different subjects are not completely isolated from one another but that knowledge can have applications in several areas. (Author/MP)

The material focuses on the power and usefulness of the number three and is presented as though the number was being interviewed. Among the issues covered in the presentation is the impossibility of dividing an angle into three equal parts using just a straight edge and a compass. (Author/MP)

Some alternatives available for meeting the needs of the mathematically gifted student at the secondary school level are examined. Along with curriculum modification are discussed such approaches as magnet programs, special schools, special classes, summer programs, and mentor programs. (MNS)

The author shares 12 problems he has found effective in stimulating the imagination of students. (MNS)

Geometrical probability deals with probability on infinite sample spaces where each outcome of an experiment is equally likely to occur. Geometry which identifies sample space regions and event subregions leads to a method of finding a desired probability. A collection of problems with solutions is presented. (MP)

The material is designed to help students build a cone model, visualize how its dimensions change as its shape changes, estimate maximum volume position, and develop problem-solving skills. Worksheets designed for duplication for classroom use are included. Part of the activity involves student analysis of a BASIC program. (MP)