Subtractive magic triangles are discussed and questions raised for exploration with mathematics classes. Answers are also included. (MNS)

The Australian Mathematics Competition was designed around the content of common school mathematics, and thus is intended for almost all mathematics students, not just exceptional ones. The competition's conceptual and organizational basis and the three levels of competition papers are described. Sample questions are included. (MNS)

The evolution of Archimedes' method is traced from its geometrical beginning as a means to approximate pi to its modern version as an analytical technique for evaluating inverse circular and hyperbolic functions. It is felt the web of old and new algorithms provides considerable instructional material, and ideas are offered. (MP)

Problems with apportioning seats within the House of Representatives every 10 years are discussed. The history of the problem and the nature of the politics involved are reviewed, and the current method in use is detailed along with its flaws. A call for a more sensible system is made. (MP)

A new approach to classifying quadrilaterals is presented that tries to classify all possible combinations of shapes and angles by removing the traditional Euclidean viewpoints. The document concludes with a brief look at other types of polygons. (MP)

Magic circles, number puzzles somewhat more complex than magic squares, are described and discussed. (MK)

Compiles the experiences of four people involved in running math clubs. States that the underlying purpose of all clubs is to promote mathematics as an enjoyable pastime while also stimulating students and enhancing the everyday curriculum. Describes difficulties encountered and their solutions, varieties of clubs, sample math problems, and a book…

Presents a device for sketching the graph of the composite and inverse of single variable real-valued functions. Discusses some didactic methods of paths. (YP)

Possible ways of mechanization for counting using a binary system are discussed. Shows a binary representation of the numbers and geometric models having eight triples of lamps. Provides three problem sets. (YP)

Described is an experience in assigning mathematics problems that have been purposefully selected from professional journals to assist upper level college mathematics students in developing confidence in their ability to contribute published solutions. Several examples are included. (JJK)

Presented is a description of how the NCTM Standard, "Mathematics as Communication," can be addressed using a learn-to-write strategy. Responses are suggested to the questions of why writing about mathematics can improve learning and how this approach can be implemented in the classroom. (MDH)

In a series of activities involving map coloring, students can discover various combinatorial theorems including Euler's formula. (SD)

An ancient Chinese method of calculating ages indirectly can provide interesting practice with number concepts. (SD)

Enrichment topics dealing with solutions of polynomials over modular systems are described. (SD)

In an experimental sequence for students about to complete high school, mathematical fallacies, the Fibonacci series, and deeper treatments of school mathematics were studied. (SD)