A model for securing student input for curriculum construction, including textbook writing, through observing small groups of students at work is described; its application to the topic of limits of sequences and implications for curriculum development in general are discussed. (DT)

Calculus is overemphasized in elementary physics courses at the expense of other types of mathematical reasoning, especially modern algebra and numerical methods. Discusses approaches to several problems in physics using either a time-sharing computer terminal or symmetry arguments to solve problems at a level appropriate for liberal arts…

Paper presented at Indiana University, Bloomington, Indiana, on March 11, 1971. (VM)

Methods are presented for teaching the meaning of exponential functions, Euler's formula, De Moivre's theorem and Maclaurin's series for exponentials, cosine, and sine to juniors or seniors in high school. (JG)

A traveling salesman problem is used to illustrate the key idea in a general proof of a reduction technique. It is reduced to a problem in propositional calculus. (MNS)

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

The problem "Given three planar points, find a point such that the sum of the distances from that point to the three points is a minimum" is discussed from several points of view. A solution that uses only calculus and geometry is examined in detail. (MNS)