Modelling How Students Organize Knowledge
Ismo Koponen
2012
Abstract
We discuss here how students organize their knowledge (in physics) by connecting closely related concepts. Attention is paid on the relational structure of the ordering of concepts so that the introduction of new concepts is justified on the basis of concepts which have already been learned. Consequently, there is then direction of progress in introducing new concepts - there is ``flux of information'' so that what was learned before is the basis for learning new conceptual knowledge. Such ordered and directed process of introducing the concepts can be conveniently described and analysed in the framework of directed ordered graphs. We propose here a model of knowledge organization for such concept maps. The model is based on the assumption that students use simple procedures connecting new concepts mostly to concepts introduced few steps before. On basis of the model results we suggest that the most important properties of concept maps can be understood on a basis of such simple rules for organising knowledge.
References
- Batista J. B. and Costa, L. da F. (2010). Knowledge Acquisition by Networks of Interacting Agents in the Presence of Observation Errors. Physical Review E, 82, 016103.
- Costa, L. da F. (2006). Learning About Knowledge: A Complex Network Approach. Physical Review E, 74, 026103.
- Duong, T. H., Jo, G. S., Jung, J. J. and Nguyen, N. T. (2009). Complexity Analysis of Ontology Integration Methodologies: A Comparative Study. Journal of Universal Computer Science, 15, 877-897.
- Goni, J., Corominas-Murtra, B., Solé, R. V. and RodríguezCaso,C. (2010). Exploring the Randomness of Directed Acyclic Networks. Physical Review E, 82, 066115.
- Karrer, B. and Newman, M. E. J. (2009). Random Graph Models for Directed Acyclic Networks. Physical Review E, 80, 046110.
- Kemp, C., Perfors, A. and Tenenbaum, J. B. (2007). Learning Overhypotheses with Hierarchical Bayesian Models. Developmental Science, 10, 307-321.
- Kemp, C. and Tenenbaum, J. B. (2008). The Discovery of Structural Form. PNAS, 105, 10687-10692.
- Kolaczyk, E. D. (2009). Statistical Analysis of Network Data. New York: Springer.
- Koponen, I. T. and Pehkonen M. (2010). Coherent Knowledge Structures of Physics Represented as Concept Networks in Teacher Education. Science & Education, 19, 259-282.
- Koponen, I. T. and Nousiainen M. (2012). Pre-service physics teachers understanding of the relational structure of physics concepts. International Journal of Science and Mathematics Education, in print, DOI 10.1007/s10763-012-9337-0.
- McClure, J. R., Sonak, B. and Suen, H. K. (1999) Concept Map Assesment of Classroom Learning: Reliability, Validity, and Logistical Practicality. Journal of Research in Science Teaching, 36, 475-492.
- Novak, J. (2002). Meaningful Learning: The Essential Factor for Conceptual Change in Limited or Inappropriate Propositional Hierarchies Leading to Empowerment of Learners. Science Education, 86, 548-571.
- O'Donnell, A. M., Dansereau, D. F. and Hall, R. H. (2002) Knowledge Maps as Scaffolds for Cognitive Processing. Educational Psychology Review, 14, 71-86.
- Thagard, P. (1992). Conceptual Revolutions. Princeton NJ:Princeton University Press.
Paper Citation
in Harvard Style
Koponen I. (2012). Modelling How Students Organize Knowledge . In Proceedings of the International Conference on Knowledge Engineering and Ontology Development - Volume 1: KEOD, (IC3K 2012) ISBN 978-989-8565-30-3, pages 143-148. DOI: 10.5220/0004105201430148
in Bibtex Style
@conference{keod12,
author={Ismo Koponen},
title={Modelling How Students Organize Knowledge},
booktitle={Proceedings of the International Conference on Knowledge Engineering and Ontology Development - Volume 1: KEOD, (IC3K 2012)},
year={2012},
pages={143-148},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004105201430148},
isbn={978-989-8565-30-3},
}
in EndNote Style
TY - CONF
JO - Proceedings of the International Conference on Knowledge Engineering and Ontology Development - Volume 1: KEOD, (IC3K 2012)
TI - Modelling How Students Organize Knowledge
SN - 978-989-8565-30-3
AU - Koponen I.
PY - 2012
SP - 143
EP - 148
DO - 10.5220/0004105201430148