Describes an experiment in an algebra-based introductory physics course to determine the power expenditure formulation for a person walking on a treadmill. (YDS)

Proposes an interface agent for intelligent tutoring systems that creates a collaborative learning environment between the learner and the tutoring software. Describes implementation of a prototype using the IBM Agent Builder Environment Toolkit to use with an intelligent tutoring system for algebra and considers benefits in a lifelong learning…

The recommendations of "Principles and Standards" foster changes in perspective toward thinking about developing algebraic thinking. Discusses using algebraic symbols to represent and analyze mathematical situations and structures and using mathematical modeling to represent and understand quantitative relationships. (ASK)

Reports on how students managed some technical aspects of graphics calculators as they used them to study graphs of straight lines and parabolas. Identifies three common student difficulties: (1) tendency to be unduly influenced by the jagged appearance of graphs; (2) poor understanding of the zoom operation; and (3) limited grasp of the processes…

Describes the use of linear equations having unique solutions and nonunique solutions in the balancing of chemical equations. (MKR)

Demonstrates that using the elementary number theory in algebra classes helps students to use acquired algebraic skills as well as helping them to more clearly understand concepts that are presented. Discusses factoring, divisibility rules, and number patterns. (AIM)

Presents a method for solving linear equations involving the use of inverses instead of memorizing rules. (MKR)

Investigates the influences of the basic mathematics course on success in the elementary statistics course. Reports that a working knowledge of algebra and set theory may be a necessary condition for success in elementary statistics but may not be sufficient. Contains 20 references. (Author/ASK)

Discusses the evolution of a method for engaging students in the study of abstract algebra and enhancing their depth of understanding. Emphasizes the impact of oral activities on student learning. (Contains 16 references.) (Author/ASK)

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)

Discussion of data repositories available in global information systems focuses on facilitating access by providing semantic views. Highlights include the mapping relation; syntax and semantics of the mapping; query formulation and processing; terminological systems for semantic views; and relational algebraic expressions. (LRW)

Explores an unexpected connection between a function, its inverse, and the arithmetic mean, algebraically and graphically. (MM)

Documents what high school students showed when asked to work on tasks that involved the use of various representations. Indicates that few students made proper connections between representations and the initial situation or problem on their own and exhibited competence in procedures such as expressing an area or solving quadratic equations, but…

Introduces a computer package written for Mathematica, the purpose of which is to perform a number of difficult iterative functions with respect to the squared multiple correlation coefficient under the fixed and random models. These functions include computation of the confidence interval upper and lower bounds, power calculation, calculation of…

Most people learn to drive without knowing how the engine works. In a similar vein, the author believes that students can learn economics without knowing the algebra and calculus underlying the results. If instructors follow the philosophy of other economics courses in using graphs to illustrate the results, and draw the graphs accurately, then…