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Knowledge spaces

Author: Jean-Paul Doignon; Jean-Claude Falmagne
Publisher: Berlin ; New York : Springer, ©1999.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Knowledge spaces offer a rigorous mathematical foundation for various practical systems of knowledge assessment. An example is offered by the ALEKS system (Assessment and LEarning in Knowledge Spaces), a software for the assessment of mathematical knowledge. From a mathematical standpoint, knowledge spaces generalize partially ordered sets. They are investigated both from a combinatorial and a stochastic viewpoint.  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Doignon, Jean-Paul.
Knowledge spaces.
Berlin ; New York : Springer, ©1999
(DLC) 98029442
(OCoLC)39498445
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jean-Paul Doignon; Jean-Claude Falmagne
ISBN: 9783642586255 3642586252
OCLC Number: 607131165
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (xv, 333 pages) : illustrations
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: Overview and Mathematical Glossary --
Knowledge Structures --
Well-Graded Structures --
Surmise Systems --
Skill Maps, Labels and Filters --
Entail Relation and the Maximal Mesh --
Galois Connections --
Probabilistic Knowledge Structures --
Stochastic Learning Paths --
Descriptive and Assessment Languages --
Uncovering the State of an Individual: A Continous Markov Procedure --
Uncovering the State of an Individual: A Markov Chain Procedure --
Building the Knowledge Structure in Practice --
References.
Responsibility: Jean-Paul Doignon, Jean-Claude Falmagne.

Abstract:

Knowledge Spaces offers a rigorous mathematical foundation for various practical systems of knowledge assessment, applied to real and simulated data. This interdisciplinary representation of the  Read more...

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