Abstract
This paper reports a formative analysis of a principal interface tool in the PACT Algebra II Tutor (PAT2). PAT2 employs modern computational tools to support student reasoning about real-world problem situations. This paper examines a curriculum section on general linear form equations and evaluates the effectiveness of a worksheet tool in reifying the hierarchical structure of the problem situations. Performance analyses suggest that the worksheet effectively supports students in mapping from natural language situations to hierarchical symbolic structures, and that this accounts for the preponderance of observed learning gains. Analyses also suggest that students incur a performance cost in using the worksheet and that the worksheet might be deployed more efficiently in problem solving.
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References
Anderson, J.R.: Rules of the mind. Lawrence Erlbaum, Hillsdale, NJ (1993)
Anderson, J.R., Corbett, A.T., Koedinger K.R., Pelletier, R.: Cognitive tutors: Lessons learned. Journal of the Learning Sciences, (1995), 4, 167–207
Corbett, A.T., Anderson, J.R.,: Knowledge tracing: Modeling the acquisition of procedural knowledge. User modeling and user-adapted interaction, (1995), 4, 253–278
Corbett, A.T., Bhatnagar, A.: Student modeling in the ACT Programming Tutor: Adjusting a procedural learning model with declarative knowledge Proceedings of the Sixth International Conference on User Modeling. Springer-Verlag Wein, New York (1997)
Corbett, A.T., Koedinger, K.R., Anderson, J.R.: Intelligent tutoring systems. In M.G. Helander, T.K. Landauer and P. Prabhu (Eds.) Handbook of human computer interaction, 2nd edition. Elsevier Science, Amsterdam (1997)
Koedinger, K.R., Anderson, J.R., Hadley, W.H., Mark, M.A.: Intelligent tutoring goes to school in the big city. Artificial Intelligence and Education, 1995: The Proceedings of AI-ED 95. AACE, Charlottesville, VA (1995)
National Council of Teachers of Mathematics: Curriculum and Evaluation Standards for School Mathematics. The Council, Reston, VA (1989)
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© 1998 Springer-Verlag Berlin Heidelberg
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Corbett, A.T., Trask, H.J., Scarpinatto, K.C., Hadley, W.S. (1998). A Formative Evaluation of the PACT Algebra II Tutor: Support for Simple Hierarchical Reasoning. In: Goettl, B.P., Halff, H.M., Redfield, C.L., Shute, V.J. (eds) Intelligent Tutoring Systems. ITS 1998. Lecture Notes in Computer Science, vol 1452. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-68716-5_43
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DOI: https://doi.org/10.1007/3-540-68716-5_43
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