A simple model that portrays both addition and subtraction of positive and negative numbers is explained. (DT)

The steps involved in producing a course of study for students in years 11 and 12 are traced. General goals for education are discussed, and curriculum development efforts are described. Selected mathematics courses are described in detail. (DT)

Seventh and eighth grade students identified as holding an incomplete fraction conception of decimals were tested on related fraction knowledge. Most of these students (78%) had a problem in coordinating the size of the parts and the number of parts in comparing fractions. These students underwent several instructional sessions. Half of them…

Discussed are techniques of presentation and solution of the Classical Cake Problem. A frosted cake with a square base is to be cut into n pieces with the volume of cake and frosting the same for each piece. Needed are minimal geometric concepts and the formula for the volume of a prism. (JP)

Presents an interim report on a study of the interaction between secondary school chemistry and mathematics, which was undertaken by the British Committee on Chemical Education. (JR)

The derivation of a method to drive the general term of a sequence is presented. The difference sequences and binomial coefficents are used in the derivation. An application of this method is made to solve Polya's problems concerned with dividing space in regions by a given number of planes. (JP)

Examples of mathematical problems which arise outside the classroom situation are presented. The author suggests that the conceiving and solving of such problems by students would be a good way to provide the students with applications of the mathematics they learn. (JP)

Illustrated is the mathematical analysis of a three-dimensional game using techniques from the calculus of finite differences. This game is an analog of the familiar two-dimensional game, Dots and Squares. (JP)