Knowledge Spaces Applications in Education

The book describes up-to-date applications and relevant theoretical results. These applications come from various places, but the most important one, numerically speaking, is the internet based educational system ALEKS. The ALEKS system is bilingual Engli

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Knowledge Spaces Applications in Education

Knowledge Spaces

Jean-Claude Falmagne • Dietrich Albert Christopher Doble • David Eppstein • Xiangen Hu Editors

Knowledge Spaces Applications in Education

Editors Jean-Claude Falmagne School of Social Sciences, Dept. Cognitive Sciences University of California, Irvine Irvine, CA, USA Christopher Doble ALEKS Corporation Irvine, CA, USA

Dietrich Albert Department of Psychology University of Graz Graz, Austria David Eppstein Donald Bren School of Information & Computer Sciences University of California, Irvine Irvine, CA, USA

Xiangen Hu Department of Psychology University of Memphis Memphis, TN, USA

ISBN 978-3-642-35328-4 ISBN 978-3-642-35329-1 (eBook) DOI 10.1007/978-3-642-35329-1 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2013942001 © Springer-Verlag Berlin Heidelberg 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

Preface As can be gathered from the database maintained by Cord Hockemeyer at the University of Graz1 , the literature on Knowledge Spaces is expanding rapidly. The recent book by Falmagne and Doignon (2011) gives a comprehensive account of the theory up to its date of publication. However there have been important developments after that. We thought that a vol