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Learning Spaces

Interdisciplinary Applied Mathematics - Previously published in hardcover
BuchKartoniert, Paperback
417 Seiten
Englisch
Springererschienen am28.11.20142011
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.mehr
Verfügbare Formate
BuchGebunden
EUR181,89
BuchKartoniert, Paperback
EUR181,89
E-BookPDF1 - PDF WatermarkE-Book
EUR171,19

Produkt

KlappentextLearning 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.
ZusammenfassungLearning spaces offer a rigorous mathematical foundation for practical systems of educational technology. Describing the underlying theory and applications involved with ancillary assessment procedures, Learning Spaces provides an overview for mathematically oriented readers in education, computer science, and additional disciplines.
Details
ISBN/GTIN978-3-642-42277-5
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2014
Erscheinungsdatum28.11.2014
Auflage2011
Seiten417 Seiten
SpracheEnglisch
Gewicht664 g
IllustrationenXV, 417 p.
Artikel-Nr.33586960

Inhalt/Kritik

Inhaltsverzeichnis
Overview and Mathematical Glossary.- Knowledge Structures and Learning Spaces.- Knowledge Spaces.- Well-Graded Families.- Surmise Systems.- Skill Maps, Labels and Filters.- Entailments and the Maximal Mesh.- Galois Connections.- Descriptive and Assessment Languages.- Greedoids,  Learning Spaces, and Antimatroids.- Learning Spaces and Media.- Probabilistic Knowledge Structures.- Stochastic Learning Paths.- A Continuous Markov Procedure.- A Markov Chain Procedure.- Building a Knowledge Structure.- Building a Learning Space.- Applications.- Open Problemsmehr
Kritik
From the reviews:

"The book deals with the construction of knowledge spaces and learning spaces ... . Thus, the creative mathematician will find material capable of entertaining him or her for some time. The practitioner may be interested in applications. ... there is no doubt that reading and working with this book will be rewarding for the mathematician and useful for scientists from very different areas. In many aspects it has the potential to serve as a guideline to a new and theoretically better founded form of psychometry." (Reinhard Suck, SIAM Review, Vol. 54 (2), 2012)

"This book is an enlarged second edition of the 1999 'Knowledge Spaces' by the same authors. ... The authors cover both deterministic and probabilistic models, justify their findings and give good examples and applications, such as pattern recognition and medical diagnosis. ... We recommend it to doctoral and postdoctoral studies." (George Stoica, Zentralblatt MATH, Vol. 1205, 2011)mehr

Schlagworte

Autor

Jean-Paul Doignon is a professor at the mathematics department of the Université Libre de Bruxelles, Belgium. His research covers various aspects of discrete mathematics (graphs, ordered sets, convex polytopes, etc.) and applications to behavioral sciences (preference modeling, choice representation, knowledge assessment, etc.). Jean-Claude Falmagne is emeritus professor of cognitive sciences at the University of California, Irvine. His research interests span various areas, focusing on the application of mathematics to educational technology, psychophysics, choice theory, and the philosophy of science, in particular measurement theory.