Jean-Paul Doignon Jean-Claude Falmagne Doignon Knowledge Spaces

Knowledge Spaces

von Jean-Paul Doignon Jean-Claude Falmagne

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Beschreibung

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.
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.
Interdisciplinary representation of the theory of Knowledge Spaces. Application oriented introduction based on real and simulated data.

Autor*in

Jean-Paul Doignon

Themen in »Knowledge Spaces«

Graph Sim Text algorithms classification knowledge learning organization simulation theory of knowledge

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Details

ISBN: 9783642586255
Verlag: Springer Berlin
Erscheinung: 06.12.2012

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