Advanced Geometry Intelligent Tutoring System


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Overview: 

The aim of this project is to build an intelligent tutoring system (Advanced Geometry Tutor: AGT) for use in advanced geometry classes.  In particular, AGT tutors geometry theorem proving with construction, which is one of the most challenging and creative parts of geometry.  Building such an ITS requires an automated geometry theorem prover that can do auxiliary line construction.  We have build following systems to achieve the goal of the project:

GRAMY: An automated Euclidian geometry theorem prover that can find proofs with construction

GRAMY-GUI: A graphical user interface to reify a search strategy (i.e., to make it visible and manipulable)

Advanced Geometry Tutor: An intelligent tutoring system for geometry theorem proving with construction


People: 

  • Kurt VanLehn, University of Pittsburgh, Computer Science Professor, Principal Investigator
  • Noboru Matsuda, University of Pittsburgh, PhD candidate in Intelligent Systems Program

Publications:

Journal papers:
Noboru Matsuda and Kurt VanLehn. (2004). GRAMY: A geometry theorem prover capable of construction.  Journal of Automated Reasoning, 32(1), 3-33.
Peer reviewed conference papers:
Matsuda, N., & VanLehn, K. (2005, to appear). Advanced Geometry Tutor: An intelligent tutor that teaches proof-writing with construction. In Proceedings of The 12th International Conference on Artificial Intelligence in Education. (acceptance rate: 0.31)

Noboru Matsuda and Kurt VanLehn. (2003). Modeling Hinting Strategies for Geometry Theorem Proving. In Proc. of the 9th International Conference on User Modeling, Pittsburgh, PA., pp.373-377. 

Noboru Matsuda and Kurt VanLehn. (2000). A Reification of a Strategy for Geometry Theorem Proving. poster presented at ITS2000, Montreal.

Ph.D Dissertation

Noboru Matsuda. (2004) The Impact of Different Proof Strategies On Learning Geometry Theorem Proving, Unpublished Ph.D dissertation, University of Pittsburgh, Pittsburgh, PA.

Related publications: (not CIRCLE products)


Sponsors: 

This project is affiliated with CIRCLE: an NSF center for the study of tutoring

The National Science Foundation through a grant to the Center for Interdisciplinary Research on Constructive Learning Environments (CIRCLE) at the University of Pittsburgh and Carnegie Mellon University.

For problems or questions regarding this web contact Noboru Matsuda (mazda@cs.cmu.edu)
Comments and suggestions regarding these web pages are also welcome. 

Last updated: 12 May 2005