The probability of selecting two matching socks is discussed. (MNS)

Provides translations of educational literature which describe recent reforms in mathematics education in the Soviet Union. Though focused primarily on secondary school curricula, several articles include information on elementary mathematics education. (JDH)

Competitions at one high school are described: they try to attract as many participants as possible, not just excellent students. In one type, creativity is stressed; another is a tournament; a third involves problem solving activities. Examples are included. (MNS)

Circuits are described, with discussion on how to help students find the algorithms to solve a variety of problems involving circuits. (MNS)

A proof of the conic sections of an ellipse is presented. (MNS)

A problem that most high school calculus students can explore is presented. It can help students understand such mathematical topics as functional notation, composition of functions, the solving of systems of equations, and the derivative. A computer program is included. (MNS)

Geometric interpretations of algebraic statements are proposed, both to clarify the meaning of algebra and to encourage students to look for spatial or diagrammatic models. Binomial grids for several equations are illustrated. (MNS)

Two brief articles are included, one on a different method for solving percentage problems, and one on a trick for the calculator involving the sine to find one's age. (MNS)

Discusses the need to include symmetry as an important topic in the mathematics curriculum. Describes how symmetry might be developed conceptually and its relation to geometry, algebra, group theory, and physics. (JM)

Presents a problem, modified from a familiar situation, that would be suitable for high school students to investigate. The problem involves the properties of an array known as the odd triangle, which is made up of the odd counting numbers. (JN)

Sex-related differences in achievement were studied in a random sample of 130 schools, using data from the Second International Mathematics Study. No significant differences were found in arithmetic, algebra, and probability and statistics; for geometry and measurement, boys were more successful. (MNS)

Criticizes current methods of mathematics instruction and math textbooks for lacking review, repetition, and logical sequencing. Advocates a combination of old and new math that will ensure learning of fundamentals as well as understanding of underlying concepts. (SK)

Presents six mathematical problems (with answers) which focus on: (1) chess moves; (2) patterned numbers; (3) quadratics with rational roots; (4) number puzzles; (5) Euclidean geometry; and (6) Carrollian word puzzles. (JN)

Provides examples of proofs of the Pythagorean result. These proofs fall into three categories: using ratios, using dissection, and using other forms of transformation. Shows that polygons of equal area are equidecomposable and that the approach taken (via squares) is a new approach. (JN)

Two specific cases involving Pascal's Problem of the Points are discussed, followed by a solution in the general case. (MNS)