Titlebook: Learning Spaces; Interdisciplinary Ap Jean-Claude Falmagne,Jean-Paul Doignon Book 2011 Springer-Verlag Berlin Heidelberg 2011 ALEKS.Markov

CODA

Book 2011d sets and are special cases of knowledge spaces. The various structures are investigated from the standpoints of combinatorial properties and stochastic processes. ..Leaning spaces have become the essential structures to be used in assessing students‘ competence of various topics. A practical examp

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Surmise Systems,mise system,’ a concept generalizing that of a surmise relation, and allowing more than one possible learning ‘foundation’. for an item.. One of the two main results of this chapter is Theorem 5.2.5 which establishes, in the style of Theorem 3.8.3 for quasi ordinal spaces, a one-to-one correspondence between knowledge spaces and surmise systems.

悲痛

Skill Maps, Labels and Filters,tric 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.

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Entailments and the Maximal Mesh,in principle rely on one or more experts in the particular body of information. However, if no assumption is made on the structure to be uncovered, the only exact method consists in the presentation of all subsets of . to the expert, so that he can point out the states.

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Learning Spaces and Media,ll its incarnations—regarding the candidates in an election (see Regenwetter, Falmagne, and Grofman, 1999, for a good example). An account of such an application is Falmagne, Hsu, Leite, and Regenwetter (2007).

Colonoscopy

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骄傲

Galois Connections*,hree ‘Galois connections’ of main interest to us is given at the end of the chapter in Table 8.3 on page 148. We star the whole chapter because its content is more abstract than, and not essential to, the rest of this book.

Encapsulate

Descriptive and Assessment Languages*,d outer fringes (cf. Theorem 4.1.7 and Remark 4.1.8(a)). Here, we consider this issue more systematically. This chapter is somewhat eccentric to the rest of this book and can be skipped without harm at first reading. We begin by illustrating the main ideas in the context of a simple example encountered earlier.

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essment procedures..Presents ALEKS as a practical applicatio.Learning spaces offer a rigorous mathematical foundation for practical systems of educational technology. Learning spaces generalize partially ordered sets and are special cases of knowledge spaces. The various structures are investigated