Chio's method of evaluating determinants by successive reduction of size is explained. (MN)

The author gives a three dimensional analog of Pascal's Triangle as an exercise in heuristic thinking and an introduction to the multinomial theorem. The analog involves finding the number of shortest routes to various rooms in a cubical apartment house. (MN)

A familiar Christmas song described as a second-year algebra problem is presented in "The Twelve Days of Christmas". Five strategies for solving inequalities are discussed in "Solving Algebraic Inequalities". (JT)

An individualized learning system for college algebra was devised and tested. Results indicated that the individualized system was at least as effective as traditional approaches, and superior with respect to student attitudes toward the course. (SD)

In a project designed to enable women to gain mathematical skills needed to expand their career opportunities, a special section of a college algebra course was offered. The section was for women only and was specially organized and staffed. Evaluation indicated the project was successful. (SD)

Three open-phrase games are presented which offer interesting experiences with substitution of numbers. Four open-sentence games are also described, two dealing with the initial stages of finding a partial solution and two requiring students to find the complete solution of an open sentence. (MNS)

Presents several examples of algebraic word problems and demonstrates how spreadsheets are used to solve the problems. Spreadsheet templates are included to illustrate how each problem is solved. (MBR)

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

One mathematician's view of real problems is given. Described (with some humor) are magic retail numbers, the highway bypass, the elliptical table, and the senior-class schedule. (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)

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)

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)

Reviews two science computer software packages (on time and seasons and on maps) and three mathematics packages (on solving equations and inequalities, an algebraic coordinate game, and statistics). In addition to descriptions of the contents of each, comments indicate weaknesses and strengths. (MNS)

Examples for determining the equation of a line through two points or a quadratic function that contains three noncollinear points are presented. (MNS)