This book, written for students of calculus, is designed to augment the explanations of concepts covered in a calculus class. It consists of an overview of calculus divided into basic ideas and vocabulary, the process of differential calculus, and integral calculus. The book is intended as a resource to explain the concepts of calculus in everyday…

An interesting comparison of the techniques of geometry and calculus used to solve the same problem. (JP)

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)