Teaching methods which emphasize understanding and insight can be effectively supported and expanded by using A Programming Language (APL) as a notation for both writing the algorithms of a discipline and then exploring the behavior of these algorithms by computer. (Author/LS)

The so-called discrete approach in calculus instruction involves introducing topics from the calculus of finite differences and finite sums, both for motivation and as useful tools for applications of the calculus. In particular, it provides an ideal setting in which to incorporate computers into calculus courses. This approach has been…

Presents an algorithm to estimate pi by approximating a unit circle with a sequence of inscribed regular polygons. Demonstrates the application of the algorithm with a hand-held calculator and an Apple computer. Provides a program to calculate pi in Pascal programing language. (12 references) (MDH)

The proceedings of this conference, which examined the relationship between mathematical programming and the computer, contains the texts of most of the 50 papers presented and a summary of one discussion panel addressing such facets of this theme as the design for, use of, implementation of, and implications for mathematical programming software…

The problem of structuring sequences of instructional stimuli such that learning is optimized is modelled as a sequential decision problem with an imbedded mathematical model of learning providing a criterion function. Three types of optimization methods for such a representation are investigated for the specific case of paired-associate learning…