Reports the results of students' performance as measured by grades after the completion of the first three-quarters of calculus using the materials of the Calculus Consortium based at Harvard University. The results are presented in graphical form. The improvement is dramatic for the weaker students and moderate or none for the better students.…

Presents a method of transforming 15 mathematics students' questions expressing confusion and frustration into activities that (1) engage the hidden meaning behind the question; (2) open the dialog with students, and (3) provide a chance to interact with students on crucial issues of what is at stake in learning mathematics. (MDH)

Discusses an activity-based, exploratory-centered model of instruction based on the Piagetian theory of developmental learning that bridges the gap between the expected and actual levels of student reasoning. Applies the method to learning the mathematical concepts of circumference, area and volume, and division by zero. (22 references) (MDH)

Revisions of a mathematics textbook for nonmajors made by mathematics and mathematics education majors as part of a writing in mathematics course were reviewed by a mathematician and a writing expert to determine how these two groups perceive their audience. Comparison of the reviews indicate that mathematics writers should recognize students'…

Gives a general description of reformed calculus efforts and describes experiences with two reformed calculus programs together with traditional calculus. Also provides comparisons between these three programs using teaching evaluations and student journals. (Author/MKR)

Reports on the use of technology to enhance the teaching of ordinary differential equations, gives examples of laboratory activities using cooperative learning, and discusses assessment of student learning. MacMath, TI-81 graphing calculators, and Maple were used in the course. (Author/MKR)

Describes a course in problem solving for undergraduates not majoring in mathematics or science. The course was unusually successful in bringing average students to mathematical thinking. (Author/MKR)

Underprepared college freshmen (212 in control group; 178 in experimental group) were monitored through 1 year of college mathematics in a study that showed cooperative learning and problem solving had a significant effect on mathematical success. An appendix contains sample problems. (MKR)

Improved writing and higher grades of first-semester calculus students (n=25) were the result of a variety of written assignments used in the course. Includes sample writing assignments. (MKR)

Describes the past history and present reforms of the Department of Mathematical Sciences at the United States Military Academy. (MKR)

Describes the responses of two different mathematics classes to small group-based instruction. Remedial students, despite achievement gains, expressed displeasure and frustration in the small group format. Elementary education students in a mathematics content course showed great enthusiasm and success. (Author/MKR)