Provided is an analysis, using concepts from geometry, algebra, and trigonometry, to explain the apparent loss of area in the rug-cutting puzzle. (MNS)

How the computer can aid the teacher in discussing plane curves is shown. Use of the zoom enables the teacher to illustrate aspects of graphs that would be difficult and time-consuming to show in other ways. Many illustrative graphs are included, and four programs are listed. (MNS)

Brief articles are included on dropping perpendiculars, working with rational exponents, and finding the square root with base 10 blocks. (MNS)

Indirect methods of proof are taught with a chapter on symbolic logic. Examples and solutions for a number of proofs are presented. (MNS)

Drawing accurate regular polygons with a specified edge length is the focus of three activities. Angle measurement and related geometric concepts are reinforced with three worksheets. (MNS)

How to develop multiplicative magic squares is discussed. Various types of numbers are used in the examples. (MNS)

The Peelle triangle is an organized presentation of information about points, segments, squares, and cubes. Developing the tables is discussed, with a proof. (MNS)

Programs are listed for integer powers and fractional powers, with discussion of how to use them in instruction. (MNS)

A lawn-mowing problem is discussed in terms of clarifying the problem; making initial conjectures; experimenting; developing a solution; and supporting formulas, theorems, and corollaries. (MNS)

Circuits are described, with discussion on how to help students find the algorithms to solve a variety of problems involving circuits. (MNS)

Described is a computer program that uses an interesting matrix method to generate Pythagorean triples. Program listings and output for two programs are included. (MNS)

Many drugs are used up by the body at rates described in terms of exponential decay. Two simple exponential formulas are discussed. (MNS)

Included are brief articles discussing chain letters as an example of exponential growth, a box technique for factoring, and integrating the inverse of a function whose integral is known. (MNS)

Activities to extend the core curriculum through the study of the periodicity of rational numbers to help students develop calculator and research skills are presented. Four worksheets are included, to be used as discovery activities. A computer program is listed, as well as examples of periodic pictures. (MNS)

Game theory is appropriate as a topic for an honors seminar for high school students. Matrices provide a model for analyzing certain situations involving conflict, and probability theory can be used to determine the best strategies for the players. Variations on the ancient game of morra are discussed. (MNS)