The purpose of this study was to investigate the nature of preservice mathematics teachers' understanding of inequalities. The design of the study was a multi-case study of secondary mathematics education preservice teachers with a focus on their understanding and the lessons that they plan and implement. Data from individual interviews,…

This article offers an engaging application that adds meaning to the binomial theorem. (Contains 8 figures.)

The application of the programmable calculator to evaluating complicated formulas is illustrated by considering the formula for finding the area of any triangle when only the lengths of the three sides are known. Other advantages of the programmable calculator are discussed such as freeing the student to explore more challenging problems and…

Some insights are provided into techniques for removing the mystery of how calculators evaluate functions. (Author/MK)

Describes a variety of activities to develop ideas of pattern, mapping, and graphing for high-level high school mathematics classes. Provides problems and their answers with screen displays for the Casio graphic calculators. (YP)

This article discusses the impact of symbolic-manipulation systems on secondary school mathematics curriculum. Characteristics and possible roles for the symbolic systems are explored. Four references are listed. (YP)

This article presents 12 examples of the use of a calculator in the algebra class. The calculator codes and the mathematical formulas of the examples are presented in the appendix. (Author/YP)

This Brief Report describes a secondary analysis of the solutions written by 306 second-year algebra students to four constructed-response items representative of content at this level. The type of solution (symbolic, graphical, or numerical) used most frequently varied by item. Curriculum effects were observed. Students studying from the second…

The construction of tables of numbers is discussed as a learning activity that involves work in such things as reciprocals, calculators, formulas, patterns, discovery, prime numbers, and other types of numbers. (MP)

Compares the trends of women's and men's world records for the 800-meter run using the linear and power regression capabilities of a graphing calculator. (MDH)

This area package emphasizes three facets: (1) the concept of area as a covering; (2) the square unit; and (3) formula development. There are two enrichment activities included. The first requires the aid of a programmable calculator or computer. (Author/MK)

Illustrated is the use of computer- or calculator-based graphing to deepen students' understanding about solutions to inequalities. Two examples which use a zoom-in procedure are provided. (YP)

Discussed are assumptions about technology and classroom equipment, teaching methods, getting started, pitfalls, and the role of algebra and calculus. Suggestions are given for implementing the spirit and vision of the standards. (YP)

Illustrated is the problem of solving equations and some different strategies students might employ when using available technology. Gives illustrations for: exact solutions, approximate solutions, and approximate solutions which are graphically generated. (RT)

Discusses the use of function graphers for teaching some mathematical concepts, including roots of a function; system of equations; inequality; relative extreme of function; trigonometric identities; limit of function; and convergent/divergent of sequence. (YP)