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)

Discusses solving inequality problems involving linear programing. Describes the usual and alternative approaches. Presents an intuitive approach for finding a feasible solution by maximizing the objective function. (YP)

Presents examples of line and curve graphs. Suggests some ways of using graphs to increase student learning. (YP)

Suggests activities involving the use of indices. Provides five activities with examples for routine practice, pattern recognition, prediction, conjecture, generalization, factorization, and limit concept. (YP)

The problem of finding all topological spaces is considered. Two characterizations are presented whose proofs involve only elementary notions and techniques. The problem is appropriate for students in a beginning topology course after they have been presented with the Embedding Lemma. (DC)

Provides an overview of a course, "Applied Linear Algebra," for teaching the concepts and the physical and geometric interpretations of some linear algebra topics. Describes the philosophy of the course, the computer project assignments, and student feedback. Major topics of the course are listed. (YP)

The origins of the emphasis on formal proof are discussed as well as more recent views. Factors in acceptance of a proof and the social process of acceptance by mathematicians are included. The impact of formal proof on the curriculum and implications for teaching are given. (DC)

A Holt, Michigan, high school's recent shift toward conceptual understanding and demonstrated performance inspired one math teacher to develop a panel performance-assessment process. For their midsemester and semester exams, students in algebra II and precalculus discuss before a panel of judges the solutions to complex problems. Panel assessment…

Activities in this article are a practical response to the philosophical debate about the use of technology in mathematics classes. Shows how technology can help students understand the sophisticated mathematics embedded in r, the correlation coefficient. Includes reproducible student worksheets. (MKR)

Discusses the emergence of electronic performance support systems and describes some of the ways in which electronic performance support is now influencing learning strategies in elementary and secondary schools. Examples are given that involve writing, music, graphic arts, and algebra, and future directions are suggested. (LRW)

An algebra test administered to (n=18) first-year college students found a disregard for negative numbers, ineffective use of counterexamples, misapplication of rules, and a lack of a good grasp of relevant mathematical terminology. (12 references) (MKR)

Examined two cross-aged tutoring corpora to show how conversational rules and politeness strategies can potentially enhance or inhibit effective tutoring. Suggests that politeness strategies are more prevalent in less constrained domains, even though their use may inhibit effective tutoring. Tutors should be cognizant of these costs and benefits,…

Discusses the impact of computer algebra systems and evolving educational technologies on the mathematics curriculum, including fundamental assumptions, understandings that are needed, overarching priorities (acquiring and using knowledge), impact on students and parameters of instruction, and impact on faculty. (43 references) (MKR)

Shows how technologies are essential in a new algebra curriculum based on the NCTM Standards. 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. (24 references) (MKR)

This article is the last keynote address of the Algebra Working Group of the Seventh International Conference on Mathematical Education held in Quebec City, Canada in August 1992. Attempts to integrate, and react to, the broad range of issues raised by the Algebra Working Group. (35 references) (MKR)