Gifted secondary students not only solved problems better, faster, and with less assistance than average pupils, but also processed information in a different fashion. (MNS)

The Geometric Supposer computer software is described. It allows users to make any geometric construction that Euclid knew how to make. Some explorations with the Supposer are presented. (MNS)

A theorem is given for a property of right triangles. From it, students can deduce significant relations. (MNS)

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

Solutions to a problem on seating arrangements and one on a box-office situation are discussed; a statistical approach is used. Four computer programs are included. (MNS)

Two relevant applications of mathematics and computer science are presented: International Standard Book Numbers (ISBN) that appear in textbooks and universal product codes that appear on grocery products. A computer program is included. (MNS)

Three worksheets and teachers' notes for grades 8-12 are provided on symmetry. (MNS)

A drill-and-practice game called "Digits Delight"; the story of Parabella (and Hyp and Elli); and a method for finding inverse functions, using Rubik's cube and algebra, are included. (MNS)

The author uses Stella the Spider as the main character in a number of three-dimensional geometry problems. Eight of these problems are discussed, with solutions. (MNS)

Use of the computer to simulate or imitate probability problems that are difficult to analyze in any other way is discussed. How the Monte Carlo method works is clarified, with sample problems and programs. (MNS)

Included are brief reports on an algebra quiz in a menu format; two activity sheets on base two; and an alternative method of teaching least common multiple and greatest common factor, and related ideas, with six lessons outlined. (MNS)

The graphing of intricate curves and the fundamental theorem of algebra lead to a third discovery with microcomputers: Lagrange polynomials. Teaching suggestions for helping students to explore continuous change, interpolation, roots, and shifting and symmetry are presented, with a computer program listing. (MNS)

Activities that provide opportunities for students to investigate solving linear equations using both a physical and a pictorial model are given. Students should discover a method that will permit them to solve such equations at the symbolic level. (MNS)

The role of sentential logic traditionally taught in high school geometry is challenged. A rationale for shifting that content to algebra and replacing it with inferential logic, which directly affects proof making, is given. (MNS)