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)

Topics for investigation in mathematics classes that arise from the Olympics are discussed. Activities with performance records leading to the development of graphs are illustrated. (MNS)

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)

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)

A set of rules is given for developing pairs of numbers which can be plotted on a graph, to provide practice not only with graphing but also with computation. (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)

The focus is on graphing activities, in which students locate points on a coordinate system and name points by an ordered pair of numbers. Worksheet masters designed for duplication for classroom use are included. Practice is provided with coordinate grids, and student exploration is promoted within the materials. (MP)

The activities presented here focus on symmetry. The materials aim to provide experience in: (1) observing grid-drawn pictures and coloring in appropriate squares; (2) making symmetric designs about two lines of symmetry; (3) using a ruler and protractor; and (4) using a ruler, protractor, and compass. Worksheet masters are provided. (MP)

The lesson described first involved tossing a pair of dice and recording on a graph the sum produced on each roll. Pupils examined questions such as which sum occurred most often. The second part involved a graph that indicated which types of sums were most likely to occur. (Author/MP)

A hungry worm is looking for something to eat according to very specific rules, and the path he takes is a graph. The problem is detailed in Applesoft BASIC using low resolution graphics for worms that turn 90 degrees and high resolution for worms that can turn 45 degrees. (MP)

The activity described helps students develop facility in working with two-dimensional coordinate systems. Many students find the activity fascinating, so it can be used to motivate students to become involved in a number of explorations and to engender positive attitudes toward mathematics. (MP)

Activities designed to: (1) provide experience in determining the likelihood of events and systematically recording the results of a succession of events; and (2) provide experiences in reading and drawing logical conclusions from graphed data are presented. Worksheet masters designed for duplication for classroom use are included. (MP)

A mathematical system based on six functions is illustrated. (MP)

Presented are activities concerning the method of graphing the equation y=kx in the Cartesian and other coordinate systems. Students progress from the graph of a straight line to the investigation of conceptually related geometric loci in non-Cartesian coordinate systems. (MDH)

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