Technology offers the opportunity to study larger, more difficult group structures and perform tedious computations quickly while maintaining the focus on concepts over calculations. Explores several technology options available to the instructor as well as sample assignments and class explorations that effectively integrate technology within the…

Discusses the usefulness of Kuhn's concept of paradigm in describing major developments in mathematics and education. Presents the pre-Al-Khawarizmi paradigm in algebra and Al-Khawarizmi's algebra. Analyzes Al-Khawarizmi's algebra as a paradigm and discusses some pedagogical implications. Contains 11 references. (ASK)

Describes the efforts in one large county to provide professional development and encourage dialog among elementary, middle, and high school mathematics teachers about issues related to algebraic thinking. Presents information on the algebra network, sample activities, and participant reactions. (ASK)

Presents several examples of investigations which demonstrate the following: (1) algebra is connected to other mathematical topics; (2) algebra is an effective tool for representing patterns and relationships; and (3) algebra is an effective tool for analyzing patterns. (DDR)

Describes the use of three computer tools used to enhance the teaching and learning of algebra: the spreadsheet, LOGO, and computer algebra tools. Examines the strengths of each tool and presents practical considerations for their use. (MDH)

Examines the potential of technology for an algebra curriculum. Provides examples of technology in use in examining families of functions, fitting a curve to a data set, and observing and analyzing patterns. Discusses exemplary software and calculators for the algebra curriculum. (MDH)

Using a Computer Algebra System (CAS) to help with the teaching of an elementary course in linear algebra can be one way to introduce computer algebra, numerical analysis, data structures, and algorithms. Highlights the advantages and disadvantages of this approach to the teaching of linear algebra. (Author/MM)

Describes how to use homemade tiles, sketches, and the box method to reach a broader group of students for successful algebra learning. Provides a list of concepts appropriate for such an approach. (KHR)

Describes a technique that uses cellular telephones and their rates to enliven the topic of linear equations in a college algebra course. Uses mathematics to select a cellular telephone plan from a vendor. Enables students to use and connect the ideas of functions, equations, graphs, and applications. (DDR)

Discusses algebra teaching by looking back into the history of algebra and the work of George Peacock, who considered algebra from two points of view: symbolic and instrumental. Claims that, to be meaningful, algebra must be linked to real-world problems. (18 references) (MKR)

Examines arithmetic and algebra knowledge from a cognitive perspective in an effort to determine what constitutes a pre-algebraic level of understanding. Presents results of a longitudinal study designed to investigate students' readiness for algebra. Proposes a model for the transition from arithmetic to pre-algebra to algebra. Contains 29…

Discusses mathematical thinking and problems posed by seventh- grade students as part of a unit on the study of algebraic ideas. The unit involves showing how variables cause changes and also incorporates the solving of systems of equations by constructing line-graph drawings and combination charts. (AIM)

Discusses the theoretical and practical importance of linear algebra. Presents a brief history of linear algebra and matrix theory and describes the place of linear algebra in the undergraduate curriculum. (MDH)

Presents evaluative work based on the computer algebra system (CAS) TREEFROG which enables drill-and-practice examples to be attempted with immediate, and ultimately intelligent, feedback. Contends that by using a suitable repertoire of black and white box CAS, a full range of algebraic skills can be developed. Presents preliminary evidence based…

Explains that the way in which teachers view algebra has important implications for their instructional goals such as algebra as symbol manipulation versus algebra as a language for generalizing arithmetic. Contains 14 references. (ASK)