A computer program that uses determinants to solve simultaneous systems of equations is presented. The purpose is to show teachers how to use topics from algebra, geometry, and programing to lead pupils to appreciate the beauty and unity of mathematics. (MP)

Four problems are given and discussed involving reflection about a line or the reflection properties of conic sections. Solutions are given. (MP)

A process for eliminating the xy term in a quadratic equation in two variables is presented. The author feels this process will be within the reach of more high school students than more commonly used methods. (MK)

Forty second-year algebra students were interviewed while solving eight problems. Data from the interviews included frequencies of problem-solving processes and scores on the test. Conceptual knowledge accounted for 50 percent of the variance. (MP)

The transfer between problems having related structures was investigated. The results indicated that transfer occurred for both algebraic and puzzle problems, and significant transfer resulted when the generalization was solved first. (MP)

The use of a multiple approach using both geometric and algebraic contexts is suggested in teaching concepts. Several examples are given including area and multiplication, length and number, and functions and power. (MP)

Sidelights and extensions of factorability are presented. (DT)

The organization of a self-paced algebra course is described and testing procedures are discussed. (DT)

Presents selected responses to the question "The Farmer's Dilemma" that represent the thinking of sixth-, seventh-, and eighth-grade students. Indicates that by being given the freedom to use a variety of methods, most students found at least one solution or demonstrated an understanding of the restrictions set by the problem. (ASK)

Reports a case study set in the context of a "function" curriculum approach to introductory algebra. The expectation that the teacher's actions would reflect the philosophy implied in the curriculum was not supported. The teacher gave priority to curriculum content coverage, emphasized methods and procedures, and adopted teacher-focused…

As times change, so has the role of algebra in the educational program. The Interactive Mathematics Program (IMP) offers secondary students an opportunity to learn algebra in a college preparatory sequence that combines basic skills, problem solving, and conceptual understanding while integrating algebra into a problem-based program. Designed for…

Presents five guided activities that use a graphing calculator to help students discover the fundamental theorem of algebra. Includes student worksheets and illustrates solutions. (KHR)

Presents a classification of factorable cubics and shows how the associated factor graphs determine domains of disconnected branches and furnish a skeletal framework for the number and shape of the branches. Illustrates three dimensional visualization and examines level curves and spikes of surfaces. (KHR)

Addresses a problem originally published in the September 1994 issue in an article entitled "Creative Teaching Will Produce Creative Students" by Krulik and Rudnick. Problem stated: "Find all rectangles with integral dimensions whose area A and perimeter P are numerically equal." Presents solution to a rectangular solid,…

Suggests use of the quadratic formula to build understanding that connections between factors and solutions to equations work both ways. Making use of natural connections among concepts allows students to work more efficiently. Presents four sample problems showing the roots of equations. Messy quadratic equations with rational roots can be solved…