Presented is a method where a quadratic equation is solved and from its roots the eigenvalues and corresponding eigenvectors are determined immediately. Included are the proposition, the procedure, and comments. (KR)

Discussed is how a separable field extension can play a major role in many treatments of Galois theory. The technique of diagonalizing matrices is used. Included are the introduction, the proofs, theorems, and corollaries. (KR)

Presented are ideas for the utilization of Microsoft Works in the secondary mathematics classroom. The spreadsheet and graphing capabilities of this software package are demonstrated for several topics including the concept of slope for first year algebra, and creating and interpreting graphs for a general mathematics class. (Author/CW)

Reviewed are two computer software packages: "Algebra Concepts: Volume One," and "Data Insights." Each package is described and the strengths and weaknesses are highlighted. Costs and system requirements are listed. (CW)

Discusses two problem-solving activities combining the introduction of resistance from physical science with mathematical functions. Provides questions and answers related to the activities. (YP)

Investigated the effect of mathematics instruction with the aid of microcomputer illustrations on the achievement of college students enrolled in an intermediate algebra course. There was a treatment effect on the comprehensive final examination. (YP)

Investigated the effect of the choice of a model's medium (algebraic expression or computer program) on the performance of students. Student programers did not transfer the qualities of a computer program approach to their algebraic models. Provides items for five tests. (YP)

Illustrates three examples usually delayed until sufficient terminology, concepts, and methods have been developed unless using calculators or computers. The three examples are on exponential growth, triangle construction, and end behavior of certain function. Discusses the advantages of technology-enhanced mathematics teaching. (YP)

Solves the problem of defining a smooth piecewise linear approximation to a given function. Discusses some alternative approaches to the problem. (YP)

Describes a writing unit which coincided with an algebra unit on solving problems with two variables, in which students wrote down their reasons for choosing a particular multiple choice response, expressed an equation in writing, and wrote a six paragraph description of the solution to a problem. (RS)

Focuses on the place of discrete mathematics in the grades 9-12 mathematics curriculum and discusses how the topic of recursion should be taught. Presents several examples of recursion involving LOGO, spreadsheets, sequences, Pascal's triangle, and the Tower of Hanoi to illustrate its teaching. (MDH)

Illustrates use of rule space as a tool for cognitive analysis of students' mathematical behavior. The rule-space approach is explained and used to classify students according to two methods for solving linear algebraic equations in one unknown and diagnose their knowledge states on this topic. (Author/MDH)

Discusses police officers' use of mathematics when reconstructing an accident scene; and the history of algebra, including al-Khwarizmi's works on the theory of equations, the Rhind Papyrus, a Chinese and an Indian manuscript on systems of linear and quadratic equations, and Diophantus'"syncopated algebra." (10 references) (EK)

Students (n=61) in an experimental course stressing active student involvement and the use of a computer algebra system scored higher than students (n=76) in a traditional college algebra course on final measures of inductive reasoning, visualization, and problem solving while maintaining equivalent manipulation and computation skills. (Author/MLB)

This study compared the effectiveness of a videodisc algebra program with a traditional text-based program with 26 students with learning disabilities in a summer transition-to-college program. The videodisc group significantly outperformed the control group on posttest measures of algebra skill and also earned significantly higher grades in their…