Achievements, limitations, and difficulties of social science simulation efforts are discussed with particular reference to three examples. The pedagogical use of complementary developmental, philosophical, mathematical, and scientific approaches is advocated to minimize potential abuses of social simulation research. (LS)

A twelve-item questionnaire was constructed of three possible goals of mathematics education in each general category of usefulness, structure, attitude, and general. Results from undergraduates (pretest-posttest) and experienced secondary school teachers are analyzed several ways. Intuition and discovery rate high for students; predictive use in…

A graphical method is proposed which allows one to visualize a real matrix and its inverse. In this scheme, various special properties of the matrix are easily recognized. Up to 5x5 matrices can be graphed on an average page if the range of values does not exceed two orders of magnitude. (Author/LS)

This article characterizes students in a four-year technological mathematics program that integrated industrial experience with academic training. Some of the variables considered are age, sex, previous grades, quality of individual projects, graduation honors, and drop-out rate. (LS)

Euler's famous formula, e to the (i, pi) power equals -1, is developed by a purely algebraic method that avoids the use of both trigonometry and calculus. A heuristic outline is given followed by the rigorous theory. Pedagogical considerations for classroom presentation are suggested. (LS)

The question of how well secondary mathematics education prepares students for college work is discussed. Problems at both levels are presented. Student comments reflect their wishes and attitudes. Interchange of teaching roles is suggested as one possible aid. (LS)

The official Canadian science policy is discussed in relation to mathematics education. Questions concerning research, technology, the environment, and financing. Greatest problems are seen to exist in the undergraduate program. An increased emphasis on applied mathematics is forecast. (LS)

Through a mathematical analysis, Piaget's grouping concept can be formally interpreted as being a hybrid between the mathematical concepts of a group and a lattice. Some relevant pedagogical models are presented. Activities with Cuisenaire Rods, Dienes Blocks, and Papy's Minicomputer are shown to take place in groupings. (LS)

An interpretation of the transformation formulas for rotations in a plane in terms of the exponential function is given. Addition of two rotations is shown to correspond to the multiplication of the two corresponding matrices. (Author/LS)

A systematic approach to general orthogonal co-ordinates, suitable for use near the end of a beginning vector analysis course, is presented. It introduces students to tensor quantities and shows how equations and quantities needed in classical problems can be determined. (Author/LS)

The use of computer graphics in an introductory statistics course is described. The advantages over more traditional diagrammatic representations are discussed and an outline is given of two computer-supported graphic display systems. A description is also provided of an experiment, designed to evaluate the influence of such graphic aids. (JP)

Outlined are the extensive provisions that have been made for the past sixteen years, degree-level studies in mathematical sciences under the auspices of the National Council for Technological Awards and the Council for National Academic Awards. (JP)

Described is a method of teaching mathematics to mixed ability classes. The presentation of topics, the organization within the classroom and the difficulties met by teachers are discussed. The problems of homework and assessment are also considered. The teacher's role is compared with that in a streamed situation. (JP)