Building a Learning space

Jean-Claude Falmagne () and Jean-Paul Doignon ()
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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

Chapter 16 in Learning Spaces, 2011, pp 335-357 from Springer

Abstract: Abstract An application of either QUERY or its extension PS-QUERY results in a knowledge space, that is, a structure closed under union which is not necessarily a learning space. In many practical situations, however, the essential properties of learning spaces are regarded as crucial. In particular, the fringes enables a compact, precise delineation of any knowledge state (cf. Theorems 4.1.7 and 2.2.4(iii)). This property plays a key role in providing a meaningful summary of an assessment. Moreover, in the guise of the outer fringe, it opens the path to further learning.

Keywords: Positive Response; Hasse Diagram; Ordinal Space; Learning Space; Knowledge Space (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-3-642-01039-2_16

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