Geometry Expressions developed by Saltire Software, is a computer application that, unlike other interactive geometry systems, can automatically generate algebraic expressions from geometric figures. A simple algebra system is embedded directly into Geometry Expressions. Generation and simplification of expressions along with simple algebraic manipulations are handled inside Geometry Expressions. From a pedagogical standpoint an interactive symbolic geometry system affords a remarkable opportunity to make concrete the concept of a variable in a readily identifiable real world setting. An educational tool takes advantage of this opportunity if it provides outputs in a symbolic form. These outputs are algebraic expressions using the input parameters.

Our goal was to use Geometry Expressions to develop a set of problems for second year algebra and/or precalculus courses addressing the topics of geometric transformations of functions and optimization. In this volume you will find eight interactive problems with different levels of difficulty. In each problem the main focus is on the development of the studentsí ability to recognize and make connections using multiple representations of the same object, such as geometric shape and function. By connecting geometric and algebraic representations the student develops a more thorough understanding of the problem.