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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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.
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.
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.
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.
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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