The crisis confronting calculus and mathematics education generally results from a number of failed assumptions implicit in the dominant lecture-homework-exam methodology used in teaching mathematics. Positive resolution of this crisis can be found in adopting a noncompetitive, collaborative approach to mathematics education. (Author)

Reports the results of five contrasts between small-group learning and a more teacher-centered instructional style employed in junior high, high school, and college mathematics classes. In no case did the small-group class perform more poorly than the one led by a teacher; in one case, measuring long-term retention, the small-group class performed…