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1994 Book DidacticsOfMathematicsAsAScien

Artificial Intelligence and Education has been established by regular con-
ferences and periodicals during the last decade. Its objective is to develop
flexible and adaptable tutorial systems for all imaginable fields of education


Anderson, J. R., Boyle, C. F., Farrell, R., & Reiser, B. (1984). Cognitive principles in the
design of computer tutors. In P. E. Morris (Ed.), Modelling cognition. London: Wiley.
Anderson, J. R., Boyle, C. F., & Yost, G. (1985). The geometry tutor. Proceedings of the
International Joint Conference on Artificial Intelligence (pp. 1-7). Los Altos, CA:
Morgan Kaufmann.
Anderson, J. R. (1992). Intelligent tutoring and high school mathematics. In C. Frasson, G.
Gauthiers, & G. I. McCalla (Eds.), Intelligent tutoring systems (pp. 1-10). Berlin:
Springer.
Burton, R. R. (1988). The environment module of intelligent tutoring systems. In M. C.
Polson & J. J. Richardson (Eds.), Intelligent tutoring systems (pp. 109-142). Hillsdale,
NJ: Erlbaum.
Collis, A., & Brown, J. S. (1988). The computer as a tool for learning through reflection. In
H. Mandl & A. Lesgold (Eds.), Learning issues for intelligent tutoring systems, (pp.
114-137). Berlin: Springer.
Elsom-Cook, M. T. (1988). Guided discovery tutoring and bounded user modeling. In J. A.
Self (Ed.), Artificial intelligence and human learning (pp. 165-178). London: Chapman
and Hall.
Elsom-Cook, M. T. (1990). Guided discovery tutoring. In M. T. Elsom-Cook (Ed.), Guided
discovery tutoring: A framework for ICA research (pp. 3-23). London: Paul Chapman.
Holland, G. (1991). Tutorielle Komponenten in einer Lernumgebung zum geometrischen
Konstruieren. In R. Sträßer (Ed.), Intelligente tutorielle Systeme für das Lernen von
Geometrie. Occasional Paper 124, Universität Bielefeld/IDM.
Holland, G. (1992). Aufgabenorientierte tutorielle Systeme für den Mathematikunterricht.
In U. Glowalla & E. Schoop (Eds.), Hypertext und Multimedia. Neue Wege in der com-
puterunterstützten Aus- und Weiterbildung. Berlin: Springer.
Hennessy, S., O'Shea, T., Evertsz, R., & Floyd, A. (1989). An intelligent tutoring system
approach to teaching primary mathematics. Educational Studies in Mathematics, 20,
273-292.
Laborde, J. M., & Sträßer, R (1990). Cabri-Geométre: A microworld of geometry for
guided discovery learning. Zentralblatt für Didaktik der Mathematik, 22,171-177.
Lewis, M. W., Milson, R., & Anderson, J. R. (1987). The teacher's apprentice: Designing
an intelligent authoring system for high school mathematics. In G. Kearsley (Ed.),
Artificial intelligence and instruction: Applications and methods (pp. 269-302).
Reading, MA: Addison-Wesley.
Reusser, K. (1991). Tutoring systems and pedagogical theory: Representational tools for
understanding
, planning and reflection. In S. Lajoie & S. Derry (Eds.), Computers as
cognitive tools (pp. 143-177). Hillsdale, NJ. Erlbaum.
Thomson
, P. W. (1987). Mathematical microworlds and intelligent computer-assisted in-
stuction. In G. Kearsley (Ed.), Artificial intelligence and instruction, applications and
methods (pp. 83-110). Reading, MA: Addison-Wesley.
222
INTELLIGENT TUTORIAL SYSTEMS
and subject matter. One of the tasks of mathematics education is to partici-
pate in the development and testing of high-performance cognitive tools that
support mathematical processes of learning. These will be either mathemati-
cal microworlds with intelligent tutorial components or intelligent tutorial
systems for solving problem tasks, depending on whether the focus is on
acquiring mathematical concepts and structures or on applying mathemati-
cal concepts, theorems, and rules. The guiding principle for developing such
systems should always be that the learner's own shaping of his or her pro-
cess of learning should be supported, while, at the same time, protecting the
learner from unproductive errors and offering appropriate help in any situa-
tion.
REFERENCES


GERHARD HOLLAND
VanLehn, K. (1988). Student modeling. In M. C. Polson & J. J. Richardson (Eds.),

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