The author describes and gives two illustrations of a method for solving a system of two linear equations. The ratio of left members is equated to the ratio of right members, the ratio of the two variables is solved for, and the resultant ratio is substituted into an original equation. (MN)

A mathematical model giving weight which can be lifted as a function of bodyweight is formulated and compared with the actual data for the flyweight through the heavyweight classes. (MN)

The author argues for a clarification of standard notation rather than the use of flow diagrams to make the meaning of algebraic formulas more obvious to the beginning algebra student. (MN)

Advantages and disadvantages of the Certificate of Secondary Education Mode 3, an attempt to move away from an examination-oriented syllabus, are discussed. (MN)

An exploratory problem is presented which involves the identification of all the ways a unit fraction with prime denominator can be written as a sum of two unit fractions. (MN)

A method for approximating the nth root of any positive number that requires only a four-function calculator with a square-root key and repeat multiplication capability is given. (MN)

Seven groups of activities related to the metric system are outlined. Each group is to be done at a laboratory station in the classroom. (SD)

The relationships between arithmetic, geometric, and harmonic means and the root mean square of two numbers are examined. The problem of generalizing these relationships to three variables is discussed. (SD)

Finding the shortest route between two points can be approached by vector methods. Several types of matrices modelling a map of 6 cities are described. (SD)

A course on the nature of mathematics and mathematical thinking is proposed for use in Indian secondary schools. Topics to be included are discussed. (SD)

Questions concerning probability which appeared on the General Certificate of Education test are analyzed in terms of the processes required to answer them. The relationships between these processes and cognitive development are discussed. (SD)

A unit analysis approach, advocated by science teachers, teaching students to solve proportions, is described. (JT)

The ideas presented include a number line activity for addition and subtraction of integers, a game involving polynomials that encourages mathematical guesswork and deduction, and an introductory story for parabolas. (JT)

A set of rules is given for developing pairs of numbers which can be plotted on a graph, to provide practice not only with graphing but also with computation. (JT)

A mathematics project promoting an exploratory approach to mathematical problems as well as an organization and application of mathematical knowledge is described. (JT)