Inequalities are considered among the most useful tools of investigation in pure and applied mathematics; yet their didactical aspects have not received much attention in mathematics education research until recently. An important aspect of teaching problem solving at the secondary level deals with the notion of equivalence of algebraic…

This article presents research on students' understanding of basic concepts in Graph Theory. Students' understanding is analyzed through the lens of the theoretical framework of reducing abstraction (Hazzan, 1999). As it turns out, in spite of the relative simplicity of the concepts that are introduced in the introductory part of a traditional…

Describes how a software package that includes a spreadsheet, a relation grapher, and a dynamic geometry can contribute to teacher training through an exploratory problem-solving course. Discusses the ways in which technology-rich environments enhance and extend traditional topics. Contains 17 references. (DDR)

Demonstrated in this article are some of the capabilities of a spreadsheet program using data obtained in gas law experiments and a computer interface system. The ability to organize and analyze data which a computer can provide for the student is emphasized. (KR)

Described are several spreadsheet templates which use the functions of iteration and logical look-up which allow students to calculate and graph quantum mechanical functions and to simulate rotational and vibrational energy level and spectra. The templates are listed in the appendix. (KR)

Presents activities which highlight major concepts of linear programming. Demonstrates how technology allows students to solve linear programming problems using exploration prior to learning algorithmic methods. (DDR)

This aptitude-treatment interaction (ATI) study was designed to clarify the relationship between the aptitude variable spatial visualization and two modes of presentation of linear absolute-value inequalities. The modes of presentation include computer-enhanced instruction (CEI) and traditional. (Author/KR)

States the objectives and implementation procedures for this teacher-directed or individualized learning discovery unit. Describes the value of the program and additional activities that can be included. Shows a copy of the program. (RT)

Reviewed are 11 studies reported in Dissertation Abstracts International for Social Sciences in 1989. Topics include problem solving, mathematics education, LOGO computer language, implementation of instructional computing, algebra, effects of differential grouping on learning science skills, simulations, and graphing as they relate to the use of…