Towards an Intelligent Tutor for Mathematical Proofs

Towards an Intelligent Tutor for Mathematical Proofs

Blog Article

Computer-supported learning is an increasingly important form of study since it allows for independent learning and individualized instruction.In this paper, we discuss a novel approach to developing an intelligent tutoring system for Shakers teaching textbook-style mathematical proofs.We characterize the particularities of the domain and discuss common ITS design models.

Our approach is motivated by phenomena found in a corpus of tutorial dialogs that were collected in a Wizard-of-Oz experiment.We show how an TENTS intelligent tutor for textbook-style mathematical proofs can be built on top of an adapted assertion-level proof assistant by reusing representations and proof search strategies originally developed for automated and interactive theorem proving.The resulting prototype was successfully evaluated on a corpus of tutorial dialogs and yields good results.