Abstract
We describe how Computer Algebra Systems (CASs) can be used as cognitive tools in a learning environment. In particular, we show how a CAS is employed in ActiveMath, how different types of CAS-exercises are designed, and how feedback can be produced with the help of the very same CAS. We report the results of a first preliminary formative evaluation of ActiveMath’ CAS-exercises in a university course and some modifications of ActiveMath caused by this evaluation.
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B.W. Char, G.J. Fee, K.O. Geddes, G.H. Gonnet, and M.B. Monagan. A tutorial introduction to MAPLE. Journal of Symbolic Computation, 2(2):179–200, 1986.
C. Conati, A.S. Gertner, K. VanLehn, and M. Druzdzel. On-line student modeling for coached problem solving using baysian networks. In A. Jameson, C. Paris, and C. Tasso, editors, User Modeling: Proc. of UM97, pages 231–242, 1997.
B.I. Dahn and H. Wolters. Analysis Individuell. Springer-Verlag, 2000.
The ActiveMath group. Using computer algebra systems as cognitive tools. Technical Report RR-02-01, DFKI Saarbrücken, Saarbrücken, 2002.
B. Jacobs. Aufgaben stellen und Feedback geben. Technical report, Medienzentrum der Philosophischen Fakultät der Universität des Saarlandes, 2001.
W.R. Joolingen and T. Jong. Design and implementation of simulation-based discovery environments: the SMISLE solution. Journal of Artificial Intelligence and Education, 7:253–277, 1996.
S. Lajoie and S. Derry, editors. Computers as Cognitive Tools. Erlbaum, Hillsdale, NJ, 1993.
E. Melis and E. Andres. Evaluators and suggestion mechanisms for activemath. Technical report, DFKI, 2002.
E. Melis, E. Andres, G. Goguadze, P. Libbrecht, M. Pollet, and C. Ullrich. Activemath: System description. In J. D. Moore, C. Redfield, and W. L. Johnson, editors, Artificial Intelligence in Education, pages 580–582, 2001. IOS Press.
Andreas Sorgatz and Ralf Hillebrand. MuPAD. Linux Magazin, (12/95), 1995.
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Büdenbender, J., Frischauf, A., Goguadze, G., Melis, E., Libbrecht, P., Ullrich, C. (2002). Using Computer Algebra Systems as Cognitive Tools. In: Cerri, S.A., Gouardères, G., Paraguaçu, F. (eds) Intelligent Tutoring Systems. ITS 2002. Lecture Notes in Computer Science, vol 2363. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47987-2_80
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DOI: https://doi.org/10.1007/3-540-47987-2_80
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