Computer algebra systems are being used more and more frequently in mathematics courses of all levels. For instructors to use these systems effectively, they need to have an idea of how the systems work. To illuminate the mechanics, the implementation of a simple computer algebra system will be described. Further, if instructors understand the…

Describes PRECEPTOR, an intelligent tutoring system that provides multiple explanations for algebraic word problems involving two variables. Modeling the cognitive processes of an effective teacher is discussed, the capacity for individualized tutoring is examined, and differential tutoring based on varying difficulty levels is explained. (17…

Discusses the need to consider the cognitive models of students and their learning processes when designing computer tutorials, and describes a tutorial designed to teach students how to generate algebraic equations for story problems. Testing and revisions of the tutorial, with both college and high school students are described. (14 references)…