Discusses the factoring of polynomials and Fibonacci numbers, offering several challenges teachers can give students. For example, they can give students a polynomial containing large numbers and challenge them to factor it. (JN)

The development and role of algebra in the curriculum are traced historically. The slow development over centuries is emphasized. (MNS)

Exploring the numerical nature of quadratic equations is the focus of this article. Small solutions, the general case, and a detailed analysis are each presented. (MNS)

Included in this section are brief articles on drawing altitudes of triangles, sketching parabolas, and visualizing variability. (MNS)

Discusses algebraic programing languages, availability of these languages, and programing problems. Also discusses the future of these languages in chemical research and chemical education. A program illustrating the general algebraic and algebraic matrix manipulating capabilities of the REDUCE language is included. (JN)

Proposes that the learning of mathematics requires that the socially developed mathematical form, as well as the concepts it represents, become the property of the individual student. Indicates that the distinction between the form and content of mathematics, together with interrelationships between the two, is of crucial importance to effective…

Two methods are considered for finding the logarithm of a number using elementary arithmetic. (DT)

Methods of teaching students to solve equations and inequalities containing parameters are suggested. (DT)

A geometric method of solving quadratic equations is described. (DT)

An algebraic-geometric solution technique used by the ancient Chinese is examined. (DT)

Students who learn mathematics with CAS calculators are likely to develop new practices for doing and recording mathematics. Students discussed in this paper were able to use CAS calculators in examinations, making their own decisions about what to document as written records for solutions to problems. A comparison of some features of written…

The paper examines how community was established in a professional development institute that focused on algebra content knowledge for middle school mathematics teachers. This qualitative study was framed within a situative perspective. We analyzed multiple data sources to identify the ways in which community was established. Results indicate…

This paper is part of a dissertation defended in January 2001 as part of the author's Ph.D. requirement. The study investigated the effects of use of Mathematica, a computer algebra system, in learning basic linear algebra concepts, It was done by means of comparing two first year linear algebra classes, one traditional and one Mathematica…

New models of graphing calculators arrive on a regular basis. Texas Instruments alone introduced 8 models in a 10 year period. At many schools it is impractical or impossible to have every student use the same model and often different brands as well as different models are used in the same classroom. This situation brings about both advantages…

This paper explores how college students understand ideas of functions, and which representations are productive for them in promoting their ability to work flexibly across representations. The study used pre- and post-test scores, and triangulations via student self evaluations, to generate a hypothesis related to flexible thinking and success in…