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)

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)

Proposes methods to teach the more difficult concepts of linear algebra. Examines features of the Linear Algebra Curriculum Study Group Core Syllabus, and presents problems from the core syllabus that utilize the mathematical process skills of making conjectures, proving the results, and communicating the results to colleagues. Presents five…

Presents a summary report of the Algebra Working Group's discussion subgroup on tertiary algebra at the Seventh International Conference on Mathematical Education held in Quebec City, Canada in August 1992. (MKR)

This paper discusses a pedagogical technique called the discovery approach in teaching remedial and college algebra. Examples of how to introduce and enhance some algebra topics using this approach in mathematics classrooms are illustrated. It is argued that student performance would improve if more topics were presented in a discovery fashion.…

Cooperative student work often fails to generate individual understanding of abstract algebra materials. Suggests techniques that enable abstract algebra students to master proofs and enhance cooperative work. (Author/ASK)

Discussed is the use of magic squares as examples in a first year course in linear algebra. Four examples are presented with each including the proposition, the procedure, and a proof. (KR)

Ideas which apply language concepts to the study of algebra are presented. Discussed are algebraic notation, vocabulary, vocalization, and written assignments. The careful use of algebraic language in mathematics classes is emphasized. (CW)

Presents the algorithm to approximate square roots as reproduced from the 1579 edition of an algebra book by Rafael Bombelli. The sequence of activities illustrates that the process of understanding an original source of mathematics, first at the algorithmic level and then with respect to its mathematical validity in modern terms, can be an…

Discusses common error-detecting identification codes using linear algebra terminology to provide an interesting application of algebra. Presents examples from the International Standard Book Number, the Universal Product Code, bank identification numbers, and the ZIP code bar code. (YP)

Pre- and posttests of prerequisite vocabulary terms were given to (n=162) intermediate and (n=178) college algebra students to determine their word knowledge and differences between the intermediate and college algebra students. (11 references) (MKR)

Presents five recommendations of the Linear Algebra Curriculum Study Group: (1) The syllabus must respond to the client disciplines; (2) The first course should be matrix oriented; (3) Faculty should consider the needs and interests of students; (4) Faculty should use technology; and (5) At least one follow-up course should be required. Provides a…

In Fall 1994, the San Diego Community College District (SDCCD), in California, conducted a study to determine the validity of the Mathematics Diagnostic Testing Project (MDTP) placement test. The MDTP provides tests at four levels (i.e., algebra readiness, elementary algebra, intermediate algebra, and pre-calculus) and is used in the District for…

A study was conducted at California's Orange Coast College (OCC) to determine if students who completed college algebra at OCC or at another college prior to enrolling in the college's calculus for business, management, and social sciences (CBMSS) course performed significantly better than students who had not previously completed college algebra.…

Presents ways to improve the accuracy of approximations of logarithms in a college-algebra course. (Author/ASK)