The author presents a syllabus for an introductory (first year after high school) course in statistics and probability and some methods of teaching statistical techniques. The description comes basically from the procedures used at the Indian Statistical Institute, Calcutta. (JG)

The author discusses the use of the duality principle in combination with the hierarchy of algebraic operations in helping students to retain and use definitions and rules for arithmetic and geometric sequences and series. (MN)

A major source of challenging problems for students is the use of higher mathematics to derive elementary problems. Several examples are given. (MP)

A discussion of the importance and procedures for including probability in the elementary through secondary mathematics curriculum is presented. Many examples and problems are presented which the author feels students can understand and will be motivated to do. Random digits, Monte Carlo methods, combinatorial theory, and Markov chains are…

A course of mathematical methods for students of different degree programs is outlined. An approach to the teaching of the course is described which allows continuity between sections of apparently different material. (MP)

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)

A small-group tutorial technique is described that develops creative thinking in students having difficulties in problem solving. (MP)

The authors stress the importance of bringing together the causal logic of history and the formal logic of mathematics in order to humanize mathematics and make it more accessible. An example of such treatment is given in a discussion of the centrality of Euclid and the Euclidean system to mathematics development. (MN)

The teaching method described uses aids to students' memories. Research showing the effectiveness of the method is reported. (SD)

A syllabus is proposed for a course in statistics at the secondary level. Brief comments are given on each topic, indicating how they may be presented to students. The overall approach to teaching statistics from an interdisciplinary point of view is discussed. (Author/SD)

This paper, after analyzing the meaning of "applied mathematics," seeks to explore and set forth some broad outlines of the pedagogical implications of studies in the application of mathematics. (Author/MP)

A three-dimensional model made from pegboard, rods, and spheres can be used to illustrate principles of multi-variate analysis. (SD)

The traditional mathematical 'service' courses offered to students preparing for a science or technical career are criticized. Recommended is the replacement of these courses by integrated courses which emphasize mathematical modeling and which are prepared and taught by teams of mathematicians, scientists and technologists. (JP)

Examination of models for representing integers demonstrates that formal operational thought is required for establishing the operations on integers. Advocated is the use of many models for introducing negative numbers but, apart from addition, it is recommended that operations on integers be delayed until the formal operations stage. (JP)