Explores the effects of varying the coefficients in the general quadratic function using graphing calculators. (MKR)

Discusses the mathematical applications of weather including Fahrenheit-Celsius conversions, temperature cycles, the wind-chill factor, and a temperature-humidity index. (MKR)

Presents suggestions for improving textbook and classroom word problems: (1) Avoid composing exercises that inspire unanswerable questions, (2) State problems in terms of the future instead of the past, and (3) Find motivation for solving a problem beyond idle curiosity; some advantage should be gained from solving the problem. (MKR)

Investigates possible factors influencing the difficulty of algebra word problems encountered by second-year algebra students. Finds that the length of the overall problem is not as significant in algebra word problems as in the arithmetic word problems; however, the length of the longest sentence or the average sentence length may be significant.…

Presents an activity that explores the completion of squares from the geometric point of view. (ASK)

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)