Prototype for a high school geometry tutorial
Timothy C. Spangler · The Mathematics Enthusiast · 1986
This thesis examines requirements of an Intelligent Tutorir^ System (ITS) for tutoring proof learning in geometry.Coipjterized systems for tutoring high sdiool geometry can be designed and implemented with current technolc^y usir^ tools of Artificial Intelligence, high resolution graphics, and knwle<%e gained from pioneerir^ ITSs.This thesis describes the components of a typical ITS and compares it to a geometry tutor currently under development at Carnegie Mellon University by a group led by John Anderson.Using a method known as rapid prototyping, the programming part of this this thesis impltmmnted a user interface for a gecmetry tutor on a Macinto^ microcomputer for demonstration to local high school teachers and geometry students.The lesson implemented with this prototype dealt with developmwt of :^dJLLs needed to apply both geometric and heuristic rules to problems encountered in the construction of a proof.The leamir% transition considered by the project was based on ^i l l levels described by the van-Hiele mcxlel of geometric learning.The thesis also begins the top down development of a second prototype and points out requirements for expert components of an ITS that mist be develc^ed.It was concluded that an ITS for geometry would require several additional software and hardware tools currently not available at this school.Development of an effective ITS for proof in geometry would also require several individuals possessir^ different fields of expertise includir^: geometry, geometry education, and system development skills.