Much of the current literature on the topic of discrete mathematics and calculus during the first two years of an undergraduate mathematics curriculum is cited. A relationship between the recursive integration formulas and recursively defined polynomials is described. A Pascal program is included. (Author/RH)

Under the assumption that the current perplexing state of calculus instruction is a result of the presuppositions inherent within conventional teaching practices, the author examines why calculus is taught the way it is, indicates unprofitable practices that result from the way calculus is taught, and recommends possible ameliorative actions. (JJK)

Detailed examples of the kind of interdisciplinary activity involving differential equations and the computer that are highly motivating to many pupils and can be easily integrated with current materials are provided. It is felt the projects illustrated can work well within courses and are not excessively time-consuming. (MP)