Theory-based knowledge modeling in a subdomain of elementary algebra

Zeitschrift fur Psychologie

Volumn 209, Issue 3, 2001, Pages 277-315

  Korossy, Klaus ^a,b   Held, Theo ^a,b  

^a UNIVERSITY OF HEIDELBERG   (Germany)

^b MARTIN LUTHER UNIVERSITY HALLE WITTENBERG   (Germany)

Author keywords

Data analysis; Expertise; Item structures; Knowledge assessment; Knowledge diagnosis; Knowledge modeling; Knowledge structures; Solvability dependencies

Indexed keywords

EID: 33745551894     PISSN: 00443409     EISSN: None     Source Type: Journal    
DOI: 10.1026//0044-3409.209.3.277     Document Type: Article

References (26)

1. Airasian, P. W. & Bart, W. M. (1973). Ordering theory: a new and useful measurement model. Educational Technology, May, 56-60.
2. Albert, D. & Held, T. (1994). Establishing knowledge spaces by systematical problem construction. In D. Albert (Ed.), Knowledge Structures (pp. 81-115). Berlin, Heidelberg: Springer.
3. Albert, D., Schrepp, M. & Held, T. (1994). Construction of knowledge spaces for problem solving in chess. In G. H. Fischer & D. Laming (Eds.), Contributions to Mathematical Psychology, Psychometrics, and Methodology (pp. 123-135). Berlin, Heidelberg, New York: Springer.
4. Aufmann, R. N., Barker, V. C. & Nation, R. D. (199.3). College Algebra. Boston: Houghton Mifflin Company.
5. Bahrick, H. P. & Hall, L. K. (1991). Lifetime maintenance of highschool mathematics content. Journal of Experimental Psychology: General, 120(1), 20-33.
6. Bart, W. M. & Airasian, P. W. (1974). Determination of the ordering among seven Piagetian tasks by an ordering-theoretic method. Journal of Educational Psychology, 66(2), 277-284.
7. Bart, W. M. & Krus, D. J. (1973). An ordering-theoretic method to determine hierarchies among items. Educational and Psychological Measurement, 33, 291-300.
8. Birkhoff, G. (1937). Rings of sets. Duke Mathematical Journal, 3, 443-454.
9. Doignon, J. P. & Falmagne, J. C. (1985). Spaces for the assessment of knowledge. International Journal of Man-Machine Studies, 23, 175-196.
10. Dowling, C. E. (1993). Applying the basis of a knowledge space for controlling the questioning of an expert. Journal of Mathematical Psychology, 37, 21-48.
11. Falmagne, J.-C. & Doignon, J.-P. (1988 a). A class of stochastic procedures for the assessment of knowledge. British Journal of Mathematical and Statistical Psychology, 41, 1-23.
12. Falmagne, J.-C. & Doignon, J.-P. (1988b). A markovian procedure for assessing the state of a system. Journal of Mathematical Psychology, 32(3), 232-258
13. Falmagne, J.-C., Koppen, M., Villano, M., Doignon, J.-P. & Johannesen, L. (1990). Introduction to knowledge spaces: How to build, test, and search them. Psychological Review, 97(2), 201-224.
14. Held, T. (1993). Establishment and empirical validation of problem structures based on domain specific skills and textual properties-A contribution to the, Theory of Knowledge Spaces', Dissertation, Universität Heidelberg.
15. Held, T. & Korossy, K. (1998). Data analysis as a heuristic for establishing theoretically founded item structures. Zeitschrift für Psychologie, 206, 169-188.
16. Keedy, M. L., Bittinger, M. L. & Beecher, J. A. (1993). Algebra and Trigonometry. Reading, MA: Addison-Wesley.
17. Koppen, M. (1993). Extracting human expertise for constructing knowledge spaces: an algorithm. Journal of Mathematical Psychology, 37, 1-20.
18. Koppen, M. & Doignon, J.-P. (1990). How to build a knowledge space by querying an expert. Journal of Mathematical Psychology, 34, 311-331.
19. Korossy, K. (1993). Modellierung von Wissen als Kompetenz und Performant: Eine Enveiterung der Wissensstruktur-Theorie von Doignon & Falmagne, Dissertation, Universität Heidelberg.
20. Korossy, K. (1996). Kompetenz und Performanz beim Lösen von Geometrie-Aufgaben. Zeitschriftfür Experimentelle Psychologie, XLIII(2), 279-318.
21. Korossy, K. (1999). Modeling knowledge as competence and performance. In D. Albert & J. Lukas (Eds., ), Knowledge spaces. Theories, Empirical Research, and Applications (Ch. 5, pp. 103-132). Mahwah, N.J.: Lawrence Erlbaum Ass.
22. Lukas, J. & Albert, D. (1993). Knowledge assessment based on skill assignment and psychological task analysis. In G. Strube & K. F. Wender (Eds.), The Cognitive Psychology of Knowledge (pp. 139-159). Amsterdam: Elsevier.
23. Schmid, A. & Schweizer, W. (1994). Algebra Zwei. LS Mathematik. Stuttgart: Klett.
24. Schrepp, M. (1999), Extracting knowledge structures form observed data. British Journal of Mathematical and Statistical Psychology, 52, 213-224.
25. Schrepp, M. & Korossy, K. (1998). Fehlkonzepte und Fehlkonzeptanvvendung bei elementaren Aufgaben zum Vereinfachen von Bruchtermen [Misconceptions and their applications in elementary problems concerning the simplifying of algebraic fractions]. Zeitschrift für Psychologie, 206, 47-73.
26. Van Leeuwe, J. F. J. (1974). Item tree analysis. Nederlands Tijdschrift voor de Psychologie, 29, 475-484.