An axiomatic development of the derivative and the antiderivative is presented. (DT)

Directions are given for using a gravity protractor in constructing an instrument for finding derivatives. (DT)

A geometric interpretation of the Fundamental Theorem of Calculus is provided and its use is suggested as enhancing student understanding. (MP)

Misconceptions which students have about the convergence of an alternating series are identified, and counterexamples are provided for each of the misconceptions. (DT)

Properties of solids generated by the rotation of some of the well-known solids about given axes are discussed. (DT)

Examples are given of difficulties that students have in determining extrema of real-valued functions of real variables. (DT)

The author presents a method of teaching the concept of limit. (SD)

Pure and applied mathematical research is discussed briefly. The author gives an example of mathematical research on functional differential equations that was motivated by a student error on a calculus examination. (MK)

By converting functional equations to cylindrical coordinates, plotting points on cardboard, and connecting these points with thread, one can make three-dimensional string figures illustrating the behavior of functions for which the derivative is not always defined. (SD)

A computer-managed exercise to enhance the meaning of the first and second derivatives of a function at a point is explained. A copy of the program written in BASIC PLUS is included. (DT)

A method is presented for finding an asymptote which is not parallel to the x or y axis in a graph. (DT)

Compared were the effects of two modes of instruction in the calculus: small group discovery and traditional lecture-discussion. The discovery mode was more effective in producing successful achievement in areas of manipulative skills, there were no differences in achievement as measured by a concepts test. (SD)

An examination of a student question concerning a calculus problem leads to a discussion of some of the symmetric properties of a specific set of polynomials. (MP)