Provides a brief, condensed biography of the eighteenth-century mathematician, Leonard Euler, focusing on some of his contributions to mathematics. Also presents several problems and suggests how Euler might have solved them. (JN)

A diffusion simulation is described in which the dispersion of potato beetles in a given problem is traced on hexagonal grids. (MNS)

A method is described for finding those numbers which are both triangular and square (named trisqy numbers). A program for a programmable calculator is given, as well as a proof. (MNS)

This demonstration experiment is suitable for teaching many aspects of statistics. The aim is to do so in a motivating, worthwhile fashion. (MNS)

A method for finding logarithms is outlined. Four-function calculators are used to simplify the computation for those who enjoy experimenting with numbers. (MNS)

A procedure for helping students to calculate logarithms with any calculator that has a square root function is outlined. (MNS)

This article, written in French, describes part of the research conducted in a French research institute concerning plane Euclidean geometry. Fifty secondary school students were given a problem concerning points of intersection of a rectangle and two circles. Typical trains of thought during problem solutions are discussed. (MNS)

The Ohio Task Force on Mathematics has recommended that all secondary school students preparing for college take at least two years of algebra and one year of geometry, one in the senior year. For some majors, a fourth year of mathematics is recommended. Content of the courses is listed. (MNS)

Provided are some ideas on teaching elementary numerical methods to sixth-form students. Comments are included on the syllabus recently introduced at Advanced Level in Hong Kong. (MNS)

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 relation between the area of a rectangle and its perimeter is clarified by looking at patterns. Several examples involving rectangles with integral sides are presented. (MNS)

Whether differences in aptitude and experiences explain sex differences in proportional reasoning is examined. Subjects were pupils in grades seven, nine, and 11 from three school districts. Results indicated proportional reasoning occurs infrequently for both sexes, with males performing slightly better. Aptitude and experience measures did not…

Applications problems collected from industries, businesses, engineers, and government agencies are described. (MNS)

Suggests and illustrates ways in which systematic consideration of selected unary operations can be facilitated by using electronic calculators. Emphasis is placed upon unary operations suitable for exploration and investigation at the pre-algebra level, using calculation algorithms as a basis for generating examples and non-examples to develop…