Described are three activities designed to increase student participation in the classroom. The first uses earthquake reporting to study logarithms. The second discusses student-generated examples to introduce probability. In the third, prepared handouts and study groups are used to promote student interaction and involvement in calculus classes.…

Calculus must evolve or face the prospect of becoming irrelevant. The minimum level of classroom technology now available requires us to rethink the content of our calculus courses. Proposes using graphing calculators and computer algebra systems to include the following topics: local linearity, optimization problems, families of curves, and…

Computer labs using Calculus T/L were introduced into Calculus I classes at Christopher Newport University. A description of the labs, the instructor's experiences in using the labs, and student reactions are detailed. Contains instructions for Lab I involving inputting functions, finding difference quotients, and sketching a graph. (Author/MDH)

This article presents teaching ideas designed to support the belief that students at all levels (preservice teachers, majors, secondary and elementary students) need exposure to non-routine problems that illustrate the effective use of technology in their resolution. Such use provides students with rapid and accurate data collection, leading them…

This textbook was designed for a first course in differential and integral calculus, and is directed toward students in engineering, the sciences, mathematics, and computer science. Its major goal is to bring students to a level of technical competence and intuitive understanding of calculus that is adequate for applying the subject to real world…

These conference proceedings include three invited lectures, a panel discussion, three working group reports, two reports from topic groups and a participant list. The invited lectures include a discussion of the impact of calculators on the calculus curriculum (Herbert S. Wilf); a consideration of the role of misconceptions in learning…

The first three units in this set of mathematical applications cover applications of calculus to economics. Under the title, The Distribution of Resources, are the following: 60-The Lorenz Curve; 61-The Equal Share Coefficient; and 62-The GINI Index. Each of these units contains a set of exercises, a model exam, and answers to both the exercises…

One module is presented in units 203, 204, and 205, as a guide for students, and presents a general strategy for solving integrals effectively. With this material is a solutions manual to exercises. This document set also includes a unit featuring applications of calculus to geography: 206-Mercator's World Map and the Calculus. Unit 207-Management…

Three of the modules deal with applications of calculus to other mathematics. These are: 240-Pi is Irrational; 241-The Wallis Approximation of Pi; and 242-Buffon's Needle Experiment. The first of these units focuses on a proof of the irrational nature of pi, and provides exercises and answers. The second module of this group reviews the history of…

This catalog is the fourth in a series extending and updating teaching materials previously disseminated through the ERIC system, including the "Greenbook System" of training materials for higher education professionals (ED 103 083-084 and 148 438), Open Classroom Documentation, a procedural manual for an autoinstructional learning…

Four units make up the contents of this document. The first examines applications of finite mathematics to business and economies. The user is expected to learn the method of optimization in optimal assignment problems. The second module presents applications of difference equations to economics and social sciences, and shows how to: 1) interpret…

Freshmen placed into the second or third quarter of the first year calculus sequence at the University of Washington were studied. Two major findings were: freshmen eligible for advanced placement earned mean mathematics Grade Point Averages (GPAs) which were quite high; and advanced placement students earned mean mathematics GPAs substantially…

Several methods of teaching college-level mathematics sequences are examined for their advantages, disadvantages, and costs. Materials considered include textbooks, film sequences, videotaped lectures, and individualized teaching machines. (SD)

One of the areas in which the microcomputer excels is that of the very rapid addition of a sequence of numbers. Many problems in mathematics can be reduced to such an addition. Examples of problems and computer programs are included. (PK)

Discusses the use of computers in calculus classes. Describes activities in four laboratories providing with the problems of the laboratories. (YP)