Ralston proposes that the decrease in the importance of calculus in the world of mathematics is accelerating and the world of applied mathematics is changing rapidly. He briefly presents arguments for discrete mathematics. Then follow reactions from McLane, Wagner, Hilton, Woodriff, Kleitman, and Lax, and a response by Ralston. (MNS)

This article traces some of the events leading up to the call for reform, differing aspects of the suggested reform, steps taken, and possible future directions for the reform of calculus instruction. (CW)

Following a short history of calculus reform efforts, this article discusses curriculum development and research on student learning with respect to the concepts of function, limits and continuity, the derivative, and the integral; the availability and influence of new technologies on curriculum development; the consideration of the role of the…

Under the assumption that the current perplexing state of calculus instruction is a result of the presuppositions inherent within conventional teaching practices, the author examines why calculus is taught the way it is, indicates unprofitable practices that result from the way calculus is taught, and recommends possible ameliorative actions. (JJK)

In July 1982, a conference was held at Williams College in Williamstown, Massachusetts, to discuss the need for more discrete mathematics in the first two years of the core undergraduate mathematics curriculum. This paper reviews the recommendations that were made during the conference, the progress that has been made in the implementation of…

Describes a model for organizing research and development on educational applications of the information technologies. The development and evaluation of interactive video courseware using the model (an interdisciplinary team approach) for precalculus mathematics instruction is included. (JN)

Discusses, analyzes, and provides anecdotes about the calculus reform movement, in general, and the experimental, undergraduate calculus classes at Duke University, in particular. (JJK)

This manual outlines a calculus course, one of three optional courses designed to meet the needs of students in Manitoba (Canada) secondary schools who demonstrate particular aptitude in mathematics and who desire to study more topics and more advanced topics. Major emphasis is placed on applications and problem solving. The four units in the…

This document, intended as a resource for calculus reform, contains 75 separate contributions, comprising a very diverse set of opinions about the shape of calculus for a new century. The authors agree on the forces that are reshaping calculus, but disagree on how to respond to these forces. They agree that the current course is not satisfactory,…

Discusses using the computer to promote versatile learning of higher order concepts in algebra and calculus. Generic organizers, generic difficulties, and differences between mathematical and cognitive approaches are considered. (YP)

Discusses conception, design, implementation, and evaluation of a calculus course that utilizes a multi-user microcomputer system with graphics terminals. The numerical and utility routines of the software are briefly described, and examples of several types of calculus problems that can be solved utilizing the system are reviewed. (Author/MBR)

Discussed are supercalculator capabilities and possible teaching implications. Included are six examples that use a supercalculator for topics that include volume, graphing, algebra, polynomials, matrices, and elementary calculus. A short review of the research on supercomputers in education and the impact they could have on the curriculum is…

The main purpose of this special issue is to suggest strategies for meeting the mathematical needs of two-year college students in the decade of the 1990s. Since the 20 contributors were free to write about topics that they considered to be appropriate to the intellectual and personal development of all students their papers represent a broad…

Discusses and provides sample lessons of learning by discovery and weekly problem sets, which are presented as alternative methods for teaching college calculus. Both approaches stress conceptual understanding and guide the students to explore the ideas of calculus in small groups in a computer laboratory setting. (JJK)

Described is a weekly computer algebra laboratory course for Calculus I students during the 10-week spring semester, 1990, at Trinity University. Advice on the establishment and management of this type of laboratory including descriptions of student participation trends and student reactions is presented. (JJK)