Describes a mathematics course that involves the study of growth patterns combined with an analysis of the symmetry of patterns. Briefly outline the curriculum and and discusses key features of the course, such as use of hands-on models, video, slides, and speakers from other disciplines. Contains 29 references. (DDR)

Illustrates the qualitative nature of the differences between reform courses and traditional courses based on the types of student questions and comments generated in reform classes ranging from college algebra to multivariable calculus. (AIM)

Describes the preparation for the implementation of a Mathematica-based calculus curriculum and the curriculum selection process at Indiana University of Pennsylvania. Contains a summary of the problems encountered and the resulting modifications. Evaluation of the curriculum implementation, some reasons for its demise, and suggested future…

Proposes a calculus curriculum combining formative knowledge, mathematical foundations, and instrumental knowledge in mathematics. Discusses each of these components, the organization of a core calculus course, and the use of problem solving in calculus instruction. (10 references) (MKR)

Presents one model for a liberal arts mathematics course that combines probability and calculus. Describes activities utilized in the course to heighten students' interest and encourage student involvement. Activities include use of visualization, take-home tests, group problem solving, research papers, and computer usage with DERIVE computer…

Describes the mechanics of group work in the college mathematics classroom specifically group formation, preliminary class work, class and group discourse, individual and group assignments, and impact on test taking. Includes examples from a first-semester calculus course. (JJK)

Describes several techniques that have been used in a variety of college mathematics classes to shift the classroom experience from instructor-centered to student-centered. Discusses specific applications of these techniques to remedial mathematics, precalculus, liberal arts mathematics, calculus, and geometry classroom settings. (40 references)…

Describes a course designed by Moravian College, Pennsylvania, to integrate precalculus topics as needed into a first calculus course. The textbook developed for the course covers the concepts of functions, Cartesian coordinates, limits, continuity, infinity, and the derivative. Examples are discussed. (MDH)

This paper merges state-of-the-art calculator technology with examples drawn from the Harvard Consortium Calculus Curriculum. A brief rationale for selection of the Harvard project and the TI-85 is provided, and four different mathematical situations are examined using different capabilities of the TI-85. Two short TI-85 programs are given.…

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)

Working in groups on weekly themes, students discover calculus concepts through assigned readings and written reports. Provides an outline of the course content for two courses and how the courses are organized. An appendix contains the complete text of two themes on curve sketching and applications of the definite integral. (MDH)

Describes the specific courses in a sequence along with how the writing has been implemented in each course. Provides ideas for how to efficiently handle the additional paper load so students receive the necessary feedback while keeping the grading time reasonable. (Author/ASK)

Presents the historical development of required undergraduate core mathematics courses. Suggests that a new core course--discrete dynamical modeling--is needed to prepare students for success in the information age. Contains 17 references. (Author/ASK)