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Lieferstatus:	i.d.R. innert 5-10 Tagen versandfertig
Veröffentlichung:	Oktober 1998
Genre:	Schulbücher
ISBN:	9783540645016
EAN-Code:	9783540645016
Verlag:	Springer Berlin Heidelberg
Einband:	Kartoniert
Sprache:	English
Dimensionen:	H 235 mm / B 155 mm / D 20 mm
Gewicht:	534 gr
Seiten:	352
Zus. Info:	Paperback
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

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. TOC: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.