This article first appeared in the American Mathematical Monthly in January 1929. In addition to some general concerns, six reasons for lethargic student attitudes are discussed. Stressed is the need to keep mathematics instruction in the hands of teachers prepared to teach mathematics. (MNS)

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)

A method for teaching the product rule of differentiation in calculus is described. (MK)

The article presents and discusses an optimization problem concerned with observing objects from a moving car. (MK)

This paper demonstrates how calculators may be used to motivate a concept called infinite composition of functions. Several mathematical topics, such as continued square roots, continued fractions, and infinite products are treated and discussed as special cases. (Author/MK)

Ways of using the calculator as a vehicle for investigating one aspect of the square root concept are illustrated. (MK)

A calculus problem on finding the maximum volume of a box is discussed, with extensions to various types of boxes. (MNS)

A definition of convexity with six conditions is discussed and illustrated. (MNS)

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)

A calculus activity is presented which is designed to allow students to operate as mathematicians. (MK)

The author discusses the use of calculators in calculus classes and difficulties caused by roundoff errors. References for advanced follow-up topics are given. (Author/MK)

Part 2 considers the limit of a sequence and extends this to include ideas such as continuity, derivative, and integral. The discussion concludes with an example of a finite or "counted completely" set, the Fermat primes. (MK)