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Knowledge Spaces Book

Knowledge Spaces
Knowledge Spaces, Knowledge Spaces offers a rigorous mathematical foundation for various practical systems of knowledge assessment, applied to real and simulated data. The systematic presentation extends research results to new situations, as well as describing how to buil, Knowledge Spaces has a rating of 3 stars
   2 Ratings
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Knowledge Spaces, Knowledge Spaces offers a rigorous mathematical foundation for various practical systems of knowledge assessment, applied to real and simulated data. The systematic presentation extends research results to new situations, as well as describing how to buil, Knowledge Spaces
3 out of 5 stars based on 2 reviews
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  • Knowledge Spaces
  • Written by author Jean-Paul Doignon
  • Published by Springer-Verlag New York, LLC, January 2008
  • Knowledge Spaces offers a rigorous mathematical foundation for various practical systems of knowledge assessment, applied to real and simulated data. The systematic presentation extends research results to new situations, as well as describing how to buil
  • 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 knowled
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Book Categories

Authors

0Overview and Mathematical Glossary1
1Knowledge Structures and Spaces18
2Well-Graded Knowledge Structures44
3Surmise Systems62
4Skill Maps, Labels and Filters86
5Entailments and the Maximal Mesh104
6Galois Connections120
7Probabilistic Knowledge Structures142
8Stochastic Learning Paths175
9Descriptive and Assessment Languages206
10Uncovering the State of an Individual: A Continuous Markov Procedure219
11Uncovering the State of an Individual: A Markov Chain Procedure247
12Building the Knowledge Structure in Practice274
References310
Index of Names321
Index of Terms325


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Knowledge Spaces, Knowledge Spaces offers a rigorous mathematical foundation for various practical systems of knowledge assessment, applied to real and simulated data. The systematic presentation extends research results to new situations, as well as describing how to buil, Knowledge Spaces

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Knowledge Spaces, Knowledge Spaces offers a rigorous mathematical foundation for various practical systems of knowledge assessment, applied to real and simulated data. The systematic presentation extends research results to new situations, as well as describing how to buil, Knowledge Spaces

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Knowledge Spaces, Knowledge Spaces offers a rigorous mathematical foundation for various practical systems of knowledge assessment, applied to real and simulated data. The systematic presentation extends research results to new situations, as well as describing how to buil, Knowledge Spaces

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