The effects of an individualized mastery instructional system similar to the Keller plan was compared with a conventional lecture-discussion-recitation system in mathematics courses. In general, the superiority of achievement and attitude outcomes claimed for the Keller plan in many reports was not observed in this study. (Author/RL)

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

A course for life science and social science students at Hampshire College is a combination of mathematics and computer science. Through actively involving students in manipulations and simulations, their appreciation for the logical and aesthetic properties of mathematical tools and their capacity for the independent work is enhanced. (MLW)

Illustrates where several unexpected patterns of antiderivatives can be realized during calculus instruction via the application of integration by parts to the exploration of particular members of families of functions. (JJK)

Presents activities which use graphing calculators to explore parametric equations of spirals, circles, and polygons. (MKR)

The purpose of this study was to investigate the ways in which a multi-layered women's calculus course influenced the participants' learning of mathematics. This study, conducted in a state university in the Midwestern region of the United States, revealed not only that women in this particular section of calculus were likely to select careers…

At some point in their education, pre-engineering students will take physics and/or calculus. For many freshmen who aren't certain about their career paths, taking these courses is a litmus test to determine whether they have the aptitude or desire to pursue an engineering degree. Therein lies the challenge for many students in the U.S. Science,…

There has been much debate in recent years as to the amount and type of mathematical knowledge that teachers need to acquire. One set of recommendations is provided by the Mathematical Education of Teachers (MET) report, produced jointly by the American Mathematical Society and the Mathematical Association of America. This paper reports on efforts…

This course guide for calculus offered at the high school level begins with an overview of the course. The overview includes a rationale for including calculus in the high school curriculum, a description and rationale of calculator and computer use in the calculus class, the desired qualifications and characteristics of calculus teachers,…

The first four units cover aspects of medical applications of calculus: 71-Measuring Cardiac Output; 72-Prescribing Safe and Effective Dosage; 73-Epidemics; and 74-Tracer Methods in Permiability. All units include a set of exercises and answers to at least some of the problems. Unit 72 also contains a model exam and answers to this exam. The fifth…

Many of the suggestions that calculus instructors have published as articles from 1908 through 1973 are included in this book of readings. The main criterion for selecting an item was whether it would be helpful to teachers and students; therefore, those which dealt exclusively with curricular structure were not included. The selected articles are…

REPORTED ARE THE TENTATIVE VIEWS OF A GROUP OF MATHEMATICIANS ON THE CONTENT OF A PRE-COLLEGE MATHEMATICS CURRICULUM THAT MIGHT CONCEIVABLY REPRESENT THE TYPE OF PROGRAM WHICH WILL BE OPERATING IN A FEW DECADES. THE COMMITTEE PRESENTS ITS VIEWS, NOT AS A CURRICULUM GUIDE FOR ADMINISTRATORS AND MATHEMATICS EDUCATORS, BUT AS A BASIS FOR DISCUSSION,…

This study of hierarchy and universality in the languages of New Guinea seeks to describe and place the run-on surface structures found in those languages. In the process, traditional stereotypes of "sentence" and "paragraph" are questioned and revised, while hierarchy -- a fundamental characteristic of language -- is shown to…

Argues that the use of computer technologies in secondary schools should change the nature of mathematics education. Urges the rethinking of the uses of traditional paper-and-pencil computations. Suggests some computer applications for elementary algebra and for problem solving in arithmetic and calculus. (TW)

This study investigated the predictive validity of the Descriptive Tests of Mathematical Skills (DTMS) and the SAT-Mathematics (SAT-M) tests as placement tools for entering students in a small, liberal arts, historically black institution (HBI) using regression analysis. The placement schema is four-tiered: for a remedial algebra course, college…