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- About this book
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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. The results are applied to real and simulated data. The book gives a systematic presentation of research and extends the results to new situations. It is of interest to mathematically oriented readers in education, computer science and combinatorics at research and graduate levels. The text contains numerous examples and exercises and an extensive bibliography.
- Table of contents (13 chapters)
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Overview and Mathematical Glossary
Pages 1-17
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Knowledge Structures and Spaces
Pages 18-43
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Well-Graded Knowledge Structures
Pages 44-61
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Surmise Systems
Pages 62-85
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Skill Maps, Labels and Filters
Pages 86-103
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Table of contents (13 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Knowledge Spaces
- Authors
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- Jean-Paul Doignon
- Jean-Claude Falmagne
- Copyright
- 1999
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-642-58625-5
- DOI
- 10.1007/978-3-642-58625-5
- Softcover ISBN
- 978-3-540-64501-6
- Edition Number
- 1
- Number of Pages
- XVI, 334
- Number of Illustrations
- 4 b/w illustrations
- Topics
