Reports on the differences in two sections of a college course on differential equations. Results on a common examination showed that writing assignments substituted for traditional homework assignments did not improve test performance. However, survey results indicated that students felt the writing assignments, in lieu of additional homework,…

Discusses and provides sample lessons of learning by discovery and weekly problem sets, which are presented as alternative methods for teaching college calculus. Both approaches stress conceptual understanding and guide the students to explore the ideas of calculus in small groups in a computer laboratory setting. (JJK)

Emphasizes, and illustrates with examples, the importance of taking classroom time to rectify incorrect student thinking by immediately undoing, or unraveling, students' misconceptions, errors, or misapplications. When this process is cultivated without a judgmental attitude on the part of the teacher, students' confidence is inspired and…

Discusses the rationale and a method for the instructional use of graphing calculators as an intermediary step between the intuitive notion of the concept of a limit and its formal epsilon-delta definition. (JJK)

Details the planning and the outcomes for an undergraduate seminar course that introduced students to journal articles and graduate level texts pertaining to theoretical computer science. Included are useful guides for students that provide basic techniques for reading mathematical papers, and that lead students through the process of generating…

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)…

This paper describes the use of cooperative groups in teaching calculus. It discusses benefits and drawbacks of group techniques and presents reactions from both students and the author. (Author)

Described are some of the visualization techniques employed in the computer-animated videotapes generated through the blending of commentary, animated imagery, music, and special effects. Instructions for procurement are included for these tapes, which are produced by Project MATHEMATICS! at the California Institute of Technology. (JJK)

Presented are classroom-tested examples of instructional materials (courseware) for ordinary differential equations using the software package PHASER. All of the examples include in-class demonstration techniques and commentaries for instructor use, student homework and laboratory exercises, and suggestions for in-class examination questions. (JJK)

Discussed is the method of substitution of variables within the framework of precalculus level extremum problems, both maximum and minimum. Many examples with graphical representations are provided. (JJK)

Addresses the problem of poor study habits in calculus students and presents techniques to teach students how to study consistently and effectively. Concludes that many students greatly appreciate the added structure, work harder than in previous courses, and witness newfound success as a consequence. (Author/ASK)