The Special Intensive Program for Scientists and Engineers (SIPSE) at Diablo Valley College in California replaces the traditional engineering calculus and physics sequences with a single sequence that combines the two subjects into an integrated whole. The project report provides an overview of SIPSE, a section that traces the project from…

Among teachers of mathematics throughout the world there has recently been manifested a notable increase of interest in all educational work. This interest is due in part to the present general agitation in every educational line, in part to the influence of such related departments as physics, in part to the increased demands of industry, and in…

Describes the results of a teacher's exploration of the effects of using graphing calculators in calculus instruction in sections other than those that are experimental. Two experimental and two traditional sections of Calculus I and II participated in the study. (DDR)

Presents an interdisciplinary project for precalculus classes that allows students to increase their understanding of the mathematics of transformations of periodic functions and helps them see mathematics in art. Uses an applet that produces high-quality graphs and real works of art by using combinations of transformations of the sine and cosine…

Discussed are several activities suitable for students from middle school through high school designed to furnish concrete experiences with the concepts of rate of change and slope and approximating areas, the central themes of differential and integral calculus. The implementation of national curriculum standards is stressed. (CW)

Illustrates how muMATH can be used for manipulating abstract differentiation rules, optimization, implicit differentiation, related rules, and verifying the chain rule. (MVL)

Reviews six research articles involving the use of computers for mathematics instruction: (1) geometry skills; (2) calculus; (3) interactive videodisc in pre-calculus; (4) model for integrating computers in classroom; (5) computerized tutoring in applied algebra; and (6) software for enhancing problem-solving skills. (YP)

Presents a case study of the design and production of "Interactive Calculus," an interactive multimedia textbook. Discusses reasons for using multimedia textbooks; what an interactive textbook is; content, organization, graphic design, authoring and composition; and work flow. (AEF)

Examines characteristics of interactive video and microcomputer technology that are useful in the design and development of instructional modules for precalculus, especially for minority groups that have traditionally been underrepresented in math and science. Theoretical design principles are discussed, and examples for use in secondary schools…

Offers calculus students and teachers the opportunity to motivate and discover the first Fundamental Theorem of Calculus (FTC) in an experimental, experiential, inductive, intuitive, vernacular-based manner. Starting from the observation that a distance traveled at a constant speed corresponds to the area inside a rectangle, the FTC is discovered,…

Various ways in which computers can be used in the classroom depending on the subject, students' background, and individual teaching style are discussed. A way to evaluate professional software packages for use in the classroom is included. (KR)

Discusses results of 2 examinations taken by 12th-grade students (n=13,522 for calculus; n=18,031 for statistics) in New Zealand. Males outscored females, significantly in statistics, and private school students outscored state school students. Some differences moderated when mathematics coursework was factored in. (Contains 32 references.)…

A way in which to shift the focus away from lecture and the professor during class time to student-centered discussion groups is presented. An exercise used in a course on chemical process analysis that uses the group discussion method is included. (KR)

Discusses a pedagogical approach to calculus based on the question: What kinds of problems should students be able to solve? Includes a discussion of types of problems and curriculum threads for such a course. Describes a projects-based calculus with examples of projects and classroom activities. (Author/MDH)

Several types of physics activities that use real-world problems to motivate learners, use computers to assist in developing conceptual understandings, connect problem situations to mathematical models, and use the models to analyze other real-world problems are presented. The topics of racing sports, sailing, and damped harmonic oscillations are…