This document looks at specific applications of calculus to engineering. It is noted that for an automobile traveling at constant speed, the mathematical relationship between the directional heading and the angular deflection of the steering wheel can be calculated with respect to time. An analysis is presented which derives the relationship from…

Presents an easy-to-use Applesoft BASIC program that graphs rational functions and any asymptotes that the functions might have. Discusses the nature of rational functions, graphing them manually, employing a computer to graph rational functions, and describes how the program works. (TW)

Presents several types of functions which fit a given set of data and create opportunities for classroom discussion comparing different kinds of functions and identifying some of the potential hazards associated with extrapolation from best-fit functions. (DDR)

Presents the portion of a larger study of A-level British students understandings of calculus that deals with ambiguities inherent in the phrases "tends to,""approaches,""converges," and "limit." Responses to two questionnaires indicate that the four phrases generate everyday connotations that are at odds…

Discusses results from studies reported from 1958-86 examining the different methods of teaching calculus. Alternatives to lecture presentations to supplement and enhance learning include discovery and group learning, self-paced classes, programed materials, and use of computers. (over 50 references) (MDH)

Divided into two parts, this article analyzes why some pupils feel reserve about instantaneous velocities and instantaneous flows. The second part relates reactions of pupils facing a problem that implicates the instantaneous rate of change. Describes some characteristics of this problem that enables the authors to explain its instructional…

For many people committed to strong academic standards, the "advanced" high school courses offered through the College Board's Advanced Placement program and, increasingly, the Diploma Programme of the International Baccalaureate Organisation (IBO) represent the curricular gold standard for secondary education. Admissions directors and…

These proceedings contain the papers presented at the 1995 annual meeting of the Canadian Mathematics Education Study Group. Papers are organized into four sections: (1) plenary lectures; (2) working groups; (3) topic sessions; and (4) ad hoc sessions. Papers include: (1) "The Role of Epistemology in the Analysis of Teaching/Learning…

Research Ideas for the Classroom is a three-volume series of research interpretations for early childhood, middle grades, and high school mathematics classrooms. Each volume looks at research from the perspective of the learner, the content, and the teacher, and chapters are co-authored by a researcher and a teacher. Chapter titles in the high…

The relationship between learning to program at a construct level and learning and study strategies was studied for college students enrolled in a beginning Pascal programing course and a calculus course (four sections of the programing course and two of the mathematics course). For both the experimental group (n=42) and the first control group…

To investigate the hypothesis that the process of curriculum development affects curriculum outcomes, three curricula for the same purpose were developed, each using a different approach. The task was to improve the mathematics curriculum at a college of electrical engineering in Zug (Switzerland). The task, which involved developing an…

This report explores the student background characteristics that might be associated with success or failure in calculus and evaluates the effectiveness of remedial mathematics education. The sample consisted of two groups at the University of California, Santa Cruz: (1) all students (105) who took first quarter calculus in spring, 1985; and (2)…

Suggests an approach to understanding the integrals associated with teaching electricity and magnetism at the college level. Categorizes integrals that are commonly used, explains the significance of paired usage and presents a method for introducing concepts. Provides a review of symbols and for integrals in college textbooks. (CW)

American College Testing Program (ACT) scores, high school rank, high school GPA, high school algebra grades, algebra pretest score, sex, birth order, family size, and high school size were used to predict course grades in the first semester of college calculus. The best predictors were the algebra pretest and high school rank. (Author/BW)

This paper presents a comparative analysis of the Western Australian Calculus Tertiary Entrance Examination (TEE) papers for 1996-99, two years before and two years after the introduction of graphics calculators on the examination. Changes in the questions that asked students to graph rational functions and students' answers to the corresponding…