This article utilizes several examples to describe the use of MathCAD, a computer scratchpad for calculations, within a lecture-demonstration method of teaching general calculus. Both hardware requirements and software features are discussed specifically related to the proper design of student worksheets with emphasis on parameter variation. (JJK)

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)

Refutes the assumption that large classes must be impersonal, characterized by lecture style, and presented in a theorem-proof-example format. Discusses successful strategies for space use, classroom management, and collecting student feedback. (DDR)

A way in which to shift the focus away from lecture and the professor during class time to student-centered discussion groups is presented. An exercise used in a course on chemical process analysis that uses the group discussion method is included. (KR)