Describes a 'Moore Method' course whose purpose is to teach students to create and present in class mathematically correct proofs of theorems. Discusses grading, class discussions, ways to help students, and the extent to which to encourage cooperative learning. (Author/ASK)

Analyzes the results of an experimental study of a nontraditional style of teaching, a combination of lecture and group discovery methods. Concludes that students in the study performed better than those in traditional sections, their attitudes towards mathematics improved, and they were positive about the instructional approach. (Author/ASK)

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)

Uses small axiom systems to teach logic and reasoning to first year mathematics students. Incorporates a collaborative technique to train students to write formal arguments in a nonintimidating atmosphere by applying logic informally to small axiomatic systems. Provides examples of student-designed systems. (MDH)