Learning Spaces

Learning Spaces

by Falmagne, Jean-Claude

Type Book
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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 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 example is offered by ALEKS, a Web-based, artificially in…

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Title Statements

  • Full title :Learning Spaces.

Summary

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 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 example is offered by ALEKS, a Web-based, artificially intelligent assessment and learning system in mathematics and other scholarly fields. At the heart of A.

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Edition Statements

  • Publication Date:2011.

Publication Statements

The Physical Object

  • Description:1 online resource (421 pages)

Edition Identifiers

  • ISBN:3642010385, 9783642010385
  • DOI:10.1007/978-3-642-01039-2
  • oclc:ocn990615224
  • LC Classification:QA37.3
  • Dewey Decimal:371.33463

Table of Contents

Preface; Contents; 1 Overview and Basic Mathematical Concepts; 2 Knowledge Structures and Learning Spaces; 3 Knowledge Spaces; 4 Well-Graded Knowledge Structures; 5 Surmise Systems; 6 Skill Maps, Labels and Filters; 7 Entailments and the Maximal Mesh; 8 Galois Connections*; 9 Descriptive and Assessment Languages*; 10 Learning Spaces and Media; 11 Probabilistic Knowledge Structures; 12 Stochastic Learning Paths*; 13 Uncovering the Latent State: A Continuous Markov Procedure; 14 A Markov Chain Procedure; 15 Building a Knowledge Space; 16 Building a Learning space.

17 Analyzing the Validity of an Assessment18 Open Problems; Glossary; Bibliography; Index.

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Subjects

artificial intelligence Classement et notation (Élèves et étudi… Grading and marking (Students) Intelligence artificielle Intelligent tutoring systems -- Educati…

Writers

Falmagne, Jean-Claude Doignon, Jean-Paul

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