Part of the report by the Committee on Support of Research in the Mathematical Sciences is presented. It deals with an overview of the mathematical sciences from past to present. (JG)

Reprinted are "The Teaching of Euclid" by Bertrand Russell, an article on integrals by G. H. Hardy, "An Address on Relativity" by A. S. Eddington, "The Food of the Gods" by Prof. E. H. Neville, and "Simplicity and Truthfulness in Arithmetic" by W. Hope-Jones. (CT)

This article is in two parts: discussion of mathematical concepts involved in converting the reading from the tape-recorder counter which counts the turns of the run-off spool to that from the counter which counts turns of the take-up spool; calculating the length of tape run off when given the reading from the tape-recorder counter of the run-off…

Advanced placement programs using SMSG calculus materials proved successful in two one-year studies. Included were nonaccelerated college-preparatory and accelerated students. No student in either study scored a 1 (no recommendation) on the CEEB Advanced Placement Examination. (RS)

Two traditional presentations introducing the calculus of exponential functions are first presented. Then the suggested direct presentation using calculators is described. (MNS)

The systems approach to teaching is briefly discussed and then applied to teaching undergraduate calculus. The implementation procedure, specifications of the learning units, program of study and experimentation, and the various types of expenses are also outlined. (Author/MK)

Included are a detailed example of a calculator demonstration, the general principles to be followed in preparing a calculator demonstration, a list of demonstration topics for a calculus course, and some suggested topics for other courses. (MK)

Examines the effects of two teaching techniques on college liberal arts majors' ability to solve calculus problems; concludes that instruction involving a modified directed reading-thinking activity followed by peer tutoring may improve problem-solving ability in calculus. (DD)

The role of optimization in mathematical, physical, biological, social, and management sciences is examined. A plea is made for giving optimization a central place in the mathematics education of scientists and technologists. (Author/MK)

Some of the implications and advantages of an instructional approach using results from the calculus of finite differences and finite sums, both for motivation and as tools leading to applications, are discussed. (MP)

The calculus of finite differences and finite sums is used to create a context in which the computer can be incorporated into calculus courses. Analyses of the experimental implementations are included. (MP)

A cake recipe is given in terms of calculus problems, where the solution to the problem tells the amount of ingredients to be used. (DT)

Describes a project in which trigonometry and precalculus students cooperate to measure the height of an inaccessible water tower. (MKR)