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Skill Maps, Labels and Filters

In: Learning Spaces

Author

Listed:
  • Jean-Claude Falmagne

    (University of California, Irvine, Department of Cognitive Sciences, Institute of Mathematical Behavioral Sciences)

  • Jean-Paul Doignon

    (Université Libre de Bruxelles, Département de Mathématique)

Abstract

So far, cognitive interpretations of our mathematical concepts have been limited to the use of mildly evocative words such as ‘knowledge state’, ‘learning path’ or ‘gradation.’ This makes sense since, as suggested by our Examples in 1.4.1, 1.4.2 and 1.4.3, many of our results are potentially applicable to widely different fields. It must be realized, however, that our basic concepts are consistent with traditional explanatory features of psychometric theory, such as ‘skills’ or ‘latent trait’ (cf. Lord and Novick, 1974; Weiss, 1983; Wainer and Messick, 1983; Wainer, Dorans, Eignor, Flaugher, Green, Mislevy, Steinberg, and Thissen, 2000). Some possible relationships between knowledge states and skills, and other features of the items, are explored in this chapter.

Suggested Citation

  • Jean-Claude Falmagne & Jean-Paul Doignon, 2011. "Skill Maps, Labels and Filters," Springer Books, in: Learning Spaces, chapter 6, pages 103-117, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-01039-2_6
    DOI: 10.1007/978-3-642-01039-2_6
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