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 paper was developed with the goal of enhancing the mathematical preparation of secondary school teachers in the technological paradigm. It shows how two-variable inequalities can be utilized as models for the construction of geometric objects using the software Graphing Calculator 3.5 (produced by Pacific Tech) as a relation grapher. An…

This paper was prepared in response to the Conference Board of Mathematical Sciences recommendations for the preparation of secondary teachers. It shows how using trigonometry as a conceptual tool in spreadsheet-based applications enables one to develop mathematical understanding in the context of constructing geometric representations of unit…

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)

This paper introduces technology-based teaching ideas that facilitate the development of qualitative reasoning techniques in the context of quadratic equations with parameters. It reflects on activities designed for and used with prospective secondary mathematics teachers in accord with standards for teaching and recommendations for teachers in…

Suggests that using the iconic and computing features of a spreadsheet enhances the transition from natural language sentences to pictorial and numerical representations of algebraic word problems. Presents work performed in a lab setting with preservice and inservice teachers enrolled in contemporary general mathematics and problem-solving…