Efficiency of algorithms for evaluating polynomial expressions and an alternative method for evaluating Sf(x) eaxdx are discussed. (FL)

An example is given of a lesson that mixes the manipulative skills of algebra with some problems and concepts of calculus; namely, the determination of tangent lines and extrema using synthetic division. (MP)

The maximal rectangle idea is used to illustrate ways to ease students into the frame of mind required for problem solving in calculus. (MNS)

Infinite geometric series are related to the time-motion paradox involving a football team advancing halfway to a goal line on each successive play. (MN)

Three short articles on teaching procedures are presented. They concern: (1) a simple introduction to the derivative; (2) using derivatives to solve polynomial equations; and (3) mathematical applications in problems concerning force due to gravity. (JG)

Included are a detailed example of a calculator demonstration, the general principles to be followed in preparing a calculator demonstration, a list of demonstration topics for a calculus course, and some suggested topics for other courses. (MK)

Ways to incorporate student mistakes in the instruction of mathematics at the undergraduate level are discussed. A sample investigation of a pupil error with a formula from Calculus is featured. (MP)

An unusual alternative starting point for instruction in a beginning calculus course that focuses on Fixed Point Iteration (FPI) is presented. (MP)