A method for solving inequalities of degree greater than one is described. (MK)

The author describes a method for introducing mathematical induction employing Fibonacci numbers. (MK)

The use of the programmable calculator is discussed for obtaining numerical solutions to equations. The program is listed and the method illustrated. (MP)

A proof is given of a construction axiom, involving the use of a Mira used to construct a segment of a length cube root of K when segments of lengths 1 and k are given. (MP)

Two problem-solving strategies involved in finding the area of a particular square formed on a geoboard are described in detail. (MP)

An example is given of a lesson that mixes the manipulative skills of algebra with some problems and concepts of calculus; namely, the determination of tangent lines and extrema using synthetic division. (MP)

Answers Burn's question related to a previous study on the nature of knowledge about abstract algebra. Claims that a previous paper presents research that attempts to contribute to knowledge of how students' understanding of certain group concepts may develop instead of teaching abstract algebra with the computer software ISETL. (ASK)

Describes how the Sweetwater Union High School District in California provides quality instruction in the core curriculum to students in alternative education settings. Provides sample text guide for algebra. (PKP)

Presents activities that use toy balloons to offer students interesting opportunities to connect algebra and geometry. Involves students measuring the speed of a released balloon and investigating the subtle relationship between the volume of a sphere and its surface area. Prompts a rich and revealing discussion about why the experimental results…

Presents the list-structure data model for dealing with sets of objects, which has ordering as its fundamental principle. An extended notion of patterns and several operators of the algebra are presented. Design issues that influenced the development of the language are described. (Contains 30 references.) (KRN)

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)