Computer algebra systems have great potential uses, but learning the basic concepts of algebra is itself a mathematical activity. Explores theoretical concepts that may be seen as essential enabling skills for computer algebra systems users. (Author/ASK)

Compares two groups of students in an intermediate algebra course and two groups of students in a college algebra course with regard to the use/non-use of computer algebra software in the courses. Indicates that in both courses, students using the software outperformed the students not using the software on a common final exam. (Author/ASK)

Presents algebra course curriculum that utilizes a symbolic algebra system called PAD (Power, Application, and Depth). Demonstrates an example using PAD and points out that mathematics courses using this software present new ways for students to launch the power of algebraic thinking. (ASK)

Clarifies aims and objectives of school algebra, reviews research on students' performance, and suggests curriculum modifications. This article is one of the keynote addresses of the Algebra Working Group of the Seventh International Conference on Mathematical Education held in Quebec City, Canada in August 1992. (26 references) (Author/MKR)

Presents a summary report of a discussion subgroup of the Algebra Working Group at the Seventh International Conference on Mathematics Education held in Quebec City, Canada in August 1992. Argues that pre-algebra should be viewed as a continuation of arithmetic that asks different questions about numbers. (12 references) (Author/MKR)

Describes some basic difficulties in early algebra and their causes and presents some strategies for overcoming them. Lists five areas as being essential foundations for learning algebra: (1) seeing the operation, not just the answer; (2) understanding the equals sign; (3) understanding the properties of numbers; (4) being able to use all numbers;…

Examines the potential role for Computer Algebra Systems (CAS) when teaching courses as functions, calculus, and linear algebra to students with low prerequisite algebra skills. A study reports the rationale, planning, and implementation of a functions course integrating Maple CAS into instruction. (MDH)

Explains the importance of students learning algebra, and provides examples of how it can benefit them in typical life encounters. The article reveals how algebra quantifies relationships between quantities, basic algebraic structures, and its importance in the deductive process. Several algebra problems that illustrate these points are presented.…

Derives two sufficient conditions for a finitely generated Lie algebra to have the nilpotent hypercenter. Presents a relatively large class of generalized soluble Lie algebras. Proves that if a finitely generated Lie algebra has a nilpotent maximal subalgebra, the Fitting radical is nilpotent. (DDR)

Describes activities for Technical Algebra, which provides students an opportunity to solve algebraic problems through a hands-on, instructional process. (MKR)

Argues that students should be given mathematics credits for completing accounting classes. Demonstrates that, although the terminology is different, the mathematical concepts are the same as those used in an introductory algebra class. (JOW)

Proves that there really are people who use algebra in their jobs and that there are issues in society that require an understanding of mathematical concepts and processes which can be taught in an Algebra I class. Provides real-life situations and activities that use algebra. (ASK)

Suggests a few alternative approaches to teaching algebra that allow students to construct and reflect upon meanings for expressions and equations. The three lessons, which require extended discussion and reflection, are "Representing Algebraic Expressions,""Evaluating Algebraic Statements," and "Generating Equations." (WRM)

Twelve adolescents with learning disabilities were trained to use a cognitive strategy in algebra problem solving. The two-phase strategy (problem representation and problem solution) was effective in improving algebra performance on algebra word problems, and maintenance and transfer of the strategy were evident. (JDD)

Describes a constructivist, interactive approach for teaching undergraduate mathematics, abstract algebra in particular, using computer constructions programmed in ISETL to induce students' mental constructions and collaborative learning to help students reflect on these constructions. (18 references) (MKR)