A method for finding the complex roots of a graph is detailed. A conjecture is made regarding the nature of zero points of fourth-degree polynomial functions, but it is not proven in general. Mathematical induction is viewed as a promising tool to prove the conjecture that turned out unproductive. (MP)

Graphs of exotic functions which can be defined using algebraic operations are discussed. (SD)

Equations or systems of equations can be associated with letters of the alphabet printed in the coordinate plane. Messages can be coded and decoded with a computer or by hand. (SD)

Lines in the coordinatized plane which do not go through the origin can be designated by the ordered pair of intercepts. The enrichment unit described illustrates duality in mathematics. (SD)

The ideas presented include a number line activity for addition and subtraction of integers, a game involving polynomials that encourages mathematical guesswork and deduction, and an introductory story for parabolas. (JT)

Included in this section are brief articles on making up a story to explain a graph, the inverse of a function of a single variable, and exotic horse-race wagering and combinatorics. (MNS)

Brief articles are included on creating in first-year algebra, making a Moebius hat, and graphing cubics. (MNS)

The formula used by the telephone company to determine long distance charges is presented and several sample problems are included. (MP)

This section includes brief articles on holding a 'metric review show,' the 'normal' approach to graphing, graphing polynomials by using the powers of the factors, and some sum derivations. (MNS)

Solves the problem of defining a smooth piecewise linear approximation to a given function. Discusses some alternative approaches to the problem. (YP)

The advanced study program sponsored by the U.S. Naval Academy for the Anne Arundel Public Schools is described. Graphs, Games, and Puzzles and Strange Algebras are two of the courses presented. (MNS)

Discusses the use of the computer to encourage a versatile approach to learning involving both symbolic/logical and visual/holistic types of mental activity. Provides experimental data showing the effect of an enhanced Socratic mode of teaching. (YP)