By Dietrich Albert, Josef Lukas
In keeping with the formal suggestion of "knowledge constructions" initially proposed by way of Jean-Claude Falmagne and Jean-Paul Doignon, this e-book comprises descriptions of methodological advancements and experimental investigations in addition to purposes for numerous wisdom domain names. The authors deal with 3 major themes: * theoretical concerns and extensions of Doignon & Falmagne's concept of data constructions; * empirical validations of particular challenge kinds and data domain names, resembling sentence comprehension, challenge fixing in chess, inductive reasoning, easy mathematical reasoning, and others; and * software of data constructions in numerous contexts, together with wisdom evaluate, clever tutoring structures, and motor studying. in contrast to so much different techniques within the literature in cognitive psychology, this e-book offers either a rigorous mathematical formula of knowledge-related mental options and its empirical validation via experimental information.
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Additional info for Knowledge spaces: theories, empirical research, and applications
Sample text
F. ), The Cognitive Psychology of Knowledge, Vol. 101 of Advances in Psychology (pp. 139-160). Amsterdam: Elsevier. E. (1989). A procedure for facilitating an expert's judgements on a set of rules. E. ), Mathematical Psychology in Progress (pp. 157-170). New York: Springer. , & Regenwetter, M. (1991). A Procedure for facilitating an expert's judgments on a set of rules. Official final report of the research project: "Systèmes dynamiques simulés par ordinateur", MEN/IPE/87/009, Ministère de l'Education Nationale, Luxembourg.
Lukas and D. Albert at the University of Heidelberg. M. (1973). Ordering theory: A new and useful measurement model. Educational Technology, May, 56-60. Birkhoff, G. (1937). Rings of sets. Duke Mathematical Journal, 3, 443-454. -C. (1985). Spaces for the assessment of knowledge. International Journal of Man-Machine Studies, 23, 175-196. -C. (1998). Knowledge spaces. Berlin: Springer. E. (1993). On the irredundant generation of knowledge spaces. Journal of Mathematical Psychology, 37, 49-62. -C.
A slightly different method is based simply on counting the frequencies of all possible patterns in large empirical data sets. If the observed frequency for a particular pattern exceeds a specified limit, then this pattern is taken to be admissible. This Page 8 method is demonstrated for example by Falmagne (1989), Müller and Regenwetter (1991), and Villano (1991). Obviously, it is feasible only in situations with few problems and large data sets. A second method of establishing K is to ask experts in or teachers of the knowledge domain about the difficulty structure of the problems.