Abstract
The theory theory claims that children’s acquisition of knowledge is based on forming and revising theories, similar to what scientists do (Gopnik and Meltzoff 2002). Recent findings in developmental psychology provide evidence for this hypothesis.
Children have concepts about space that differ from those of adults. During development these concepts undergo revisions.
This paper proposes the formalization of children’s theories of space in order to reach a better understanding on how to structure spatial knowledge. Formal models can help to make the structure of spatial knowledge more comprehensible and may give insights in how to build GIS. Selected examples for object appearances are modeled using an algebra. An Algebra Based Agent is presented and coded in a functional programming language as a simple computational model.
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Bibliography
Bird, R. (1998). Introduction to Functional Programming Using Haskell. Hemel Hempstead, UK, Prentice Hall Europe.
Egenhofer, M. J. and D. M. Mark (1995). Naive Geography. Lecture Notes in Computer Science (COSIT ’95, Semmering, Austria). A. U. Frank and W. Kuhn, Springer Verlag. 988: 1–15.
Ferber, J., Ed. (1998). Multi-Agent Systems — An Introduction to Distributed Artificial Intelligence, Addison-Wesley.
Fodor, J. A. (1987). The modularity of mind: an essay on faculty psychology. Cambridge, Mass., MIT Press.
Frank, A. U. (1999). One Step up the Abstraction Ladder: Combining Algebras — From Functional Pieces to a Whole. Spatial Information Theory — Cognitive and Computational Foundations of Geographic Information Science (Int. Conference COSIT’99, Stade, Germany). C. Freksa and D. M. Mark. Berlin, Springer-Verlag. 1661: 95–107.
Frank, A. U. (2000). "Spatial Communication with Maps: Defining the Correctness of Maps Using a Multi-Agent Simulation." Spatial Cognition II: 80–99.
Frank, A. U. (2001). "Tiers of ontology and consistency constraints in geographic information systems." International Journal of Geographical Information Science 75(5 (Special Issue on Ontology of Geographic Information)): 667–678.
Gopnik, A. and A. N. Meltzoff (2002). Words, Thoughts, and Theories. Cambridge, Massachusetts, MIT Press.
Gopnik, A., A. N. Meltzoff, et al. (2001). The Scientist in the Crib — What early learning tells us about the mind. New York, Perennial — HarperCollins.
Hayes, P. (1985). The Second Naive Physics Manifesto. Formal Theories of the Commonsense World. J. R. Hobbs and R. C. Moore. Norwood, New Jersey, Ablex Publishing Corporation: 1–36.
Hayes, P. J. (1978). The Naive Physics Manifesto. Expert Systems in the Microelectronic Age. D. Mitchie. Edinburgh, Edinburgh University Press: 242–270.
Hobbs, J. and R. C. Moore, Eds. (1985). Formal Theories of the Commonsense World. Ablex Series in Artificial Intelligence. Norwood, NJ, Ablex Publishing Corp.
Loeckx, J., H.-D. Ehrich, et al. (1996). Specification of Abstract Data Types. Chichester, UK and Stuttgart, John Wiley and B.G. Teubner.
Mark, D. M. and M. J. Egenhofer (1996). Common-Sense Geography: Foundations for Intuitive Geographic Information Systems. GIS/LIS ’96, Betsheda, American Society for Photogrammetry and Remote Sensing.
McCloskey, M. (1983). Naive Theories of Motion. Mental Models. D. Genter and A. L. Stevens, Lawrence Erlbaum Associates.
Newcombe, N. S. and J. Huttenlocher (2003). Making Space: The Development of Spatial Representation and Reasoning. Cambridge, Massachusetts, MIT Press.
Piaget, J. and B. Inhelder (1999). Die Entwicklung des räumlichen Denkens beim Kinde. Stuttgart, Klett-Cotta.
Piaget, J., B. Inhelder, et al. (1975). Die natürliche Geometrie des Kindes. Stuttgart, Ernst Klett Verlag.
Pinker, S. (1995). The Language Instinct. New York, HarperPerennial.
Raubal, M. (2001). Agent-based Simulation of Human Wayfinding: A Perceptual Model for Unfamiliar Buildings. Institute for Geoinformation. Vienna, Vienna University of Technology: 159.
Russell, S. J. and P. Norvig (1995). Artificial Intelligence. Englewood Cliffs, NJ, Prentice Hall.
Smith, B. and D. M. Mark (2001). "Geographical categories: an ontological investigation." International Journal of Geographical Information Science 15(7 (Special Issue — Ontology in the Geographic Domain)): 591–612.
Spelke, E. S. (2000). "Core Knowledge." American Psychologist November 2000: 1233–1243.
Spelke, E. S., K. Breinlinger, et al. (1992). "Origins of knowledge." Psychological Review 99: 605–632.
Spelke, E. S. and G. S. Van de Walle (1993). Perceiving and reasoning about obects: insights from infants. Spatial representations: problems in philosphy and psychology. N. Eilan, R. McCarthy and B. Brewer. Cambridge, Massachusetts, Blackwell: 132–161.
von Hofsten, C., Q. Feng, et al. (2000). "Object representation and predictive action in infancy." Developmental Science 3(2): 193–205.
Weiss, G. (1999). Multi-Agent Systems: A Modern Approach to Distributed Artificial Intelligence. Cambridge, Mass., The MIT Press.
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Twaroch, F.A., Frank, A.U. (2005). Sandbox Geography — To learn from children the form of spatial concepts. In: Developments in Spatial Data Handling. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26772-7_32
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DOI: https://doi.org/10.1007/3-540-26772-7_32
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