Two problems related to the mean-value theorem lead into a problem requiring the use of the universal chord theorem. This latter theorem is discussed and a proof given. (MP)

Two approaches are discussed for calculating the work necessary to pump water from a conical or parabolic container. The direct method derived from the definition of work is easy to misuse, as illustrated by a student's incorrect solution. (JP)

Examples are given of problems which can be solved pictorially, thus aiding in the general development of geometric intuition and in developing some of the basic ideas of probability. (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)

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)

Four problems in which elementary mathematics can be used in constructing models are described. (SD)

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