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Modeling Hinting Strategies for Geometry Theorem Proving

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2702))

Abstract

This study characterizes hinting strategies used by a human tutor to help students learn geometry theorem proving. Current tutoring systems for theorem proving provide hints that encourage (or force) the student to follow a fixed forward and/or backward chaining strategy. In order to find out if human tutors observed a similar constraint, a study was conducted with students proving geometry theorems individually with a human tutor. When working successfully (without hints), students did not consistently follow the forward and/or backward chaining strategy. Moreover, the human tutor hinted steps that were seldom ones that would be picked by such tutoring systems. Lastly, we discovered a simple categorization of hints that covered 97% of the hints given by the human tutor.

This research was supported by NSF Grant 9720359.

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References

  1. Hume, G., J. Michael, A. Rovick, and M. Evens, Hinting as a tactic in one-on-one tutoring. Journal of the Learning Sciences, 1996. 5(1): p. 23–47.

    Article  Google Scholar 

  2. DiPaolo, R.E., A.C. Graesser, D.J. Hacker, and H.A. White, Hints in Human and Computer Tutoring, in The impact of media on technology of instruction, M. Rabinowitz, Editor. 2002, Erlbaum: Mahwah, NJ.

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  3. Anderson, J.R., C.F. Boyle, and G. Yost, The geometry tutor. Proceedings of the International Joint Conference on Artificial Intelligence, 1985: p. 1–7.

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  4. Koedinger, K.R. and J.R. Anderson, Reifying implicit planning in geometry: Guidelines for model-based intelligent tutoring system design, in Computers as cognitive tools, S.P. Lajoie and S.J. Derry, Editors. 1993, Lawrence Erlbaum Associates: Hillsdale, NJ. p. 15–45.

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  5. Scheines, R. and W. Sieg, Computer Environments for Proof Construction. Interactive Learning Environments, 1994. 4(2): p. 159–169.

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© 2003 Springer-Verlag Berlin Heidelberg

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Matsuda, N., VanLehn, K. (2003). Modeling Hinting Strategies for Geometry Theorem Proving. In: Brusilovsky, P., Corbett, A., de Rosis, F. (eds) User Modeling 2003. UM 2003. Lecture Notes in Computer Science(), vol 2702. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44963-9_51

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  • DOI: https://doi.org/10.1007/3-540-44963-9_51

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40381-4

  • Online ISBN: 978-3-540-44963-8

  • eBook Packages: Springer Book Archive

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