This paper discusses the mathematical and didactical problems of teaching indefinite integral in the context of the ubiquitous availability of online integral calculators. The symbol of indefinite integral introduced by Leibniz, unfortunately, does not contain an indication of the interval on which the antiderivatives should be calculated. This…

For almost all students, what happens when they push buttons on their calculators is essentially magic, and the techniques used are seemingly pure wizardry. In this article, the author draws back the curtain to expose some of the mathematics behind computational wizardry and introduces some fundamental ideas that are accessible to precalculus…

Discusses numerical methods to compute approximate solutions of a differential equation. Provides a Pascal program for the extended Euler-Heun method. (YP)

This article discusses the impact of symbolic-manipulation systems on secondary school mathematics curriculum. Characteristics and possible roles for the symbolic systems are explored. Four references are listed. (YP)

This article presents 12 examples of the use of a calculator in the algebra class. The calculator codes and the mathematical formulas of the examples are presented in the appendix. (Author/YP)

Consideration of a definite integral in an advanced calculus class led to a great deal of mathematical thinking and to the joy of discovery. Graphing calculators allowed students to investigate quick solutions which should be regarded as stepping stones to additional investigation and rigorous proof. With slight modifications to their proofs,…

Discusses the use of function graphers for teaching some mathematical concepts, including roots of a function; system of equations; inequality; relative extreme of function; trigonometric identities; limit of function; and convergent/divergent of sequence. (YP)