Knowledge Spaces

Applications in Education

Editors: Falmagne, J.-C., Albert, D., Doble, C., Eppstein, D., Hu, X. (Eds.)

  • The combinatoric and stochastic search engine described in the book monitors a unique knowledge assessment mechanism that produces the exact list of concepts that the student is ready to learn
  • This technology is meant to replace psychometric techniques and models that are the basis for current standardized testing
  • The technology is the basis of the ALEKS system, which has been used successfully by millions of students in the US and abroad in both K12 and higher education
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  • ISBN 978-3-642-35329-1
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Hardcover $129.00
price for USA
  • ISBN 978-3-642-35328-4
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  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
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  • ISBN 978-3-642-43441-9
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  • Usually dispatched within 3 to 5 business days.
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About this book

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 English-Spanish and covers all of mathematics, from third grade to the end of high school, and chemistry. It is also widely used in higher education because US students are often poorly prepared when they reach the university level. The chapter by Taagepera and Arasasingham deals with the application of knowledge spaces, independent of ALEKS, to the teaching of college chemistry. The four chapters by Albert and his collaborators strive to give cognitive interpretations to the combinatoric structures obtained and used by the ALEKS system. The contribution by Eppstein is technical and develops means of searching the knowledge structure efficiently.

About the authors

Dietrich Albert is an emeritus professor of Cognitive Psychology at the University of Graz and a senior scientist in Knowledge Management at the Graz University of Technology (Austria, Europe). His R&D interests cover several areas, including learning, memory, decision making, anxiety, knowledge and competences.
Chris Doble is the Math Content Development Manager at ALEKS Corporation.  Along with his focus on using technology in the teaching and learning of mathematics, he maintains academic interests and publishes in measurement theory and psychophysics.
Jean-Claude Falmagne is an emeritus professor of Cognitive Sciences at the University of California, Irvine. His research interests focus on the application of mathematics to educational technology, psychophysics, choice theory, and philosophy of sciences, in particular measurement theory.
David Eppstein is a professor of Computer Sciences at the University of California, Irvine. His research focuses on the design and analysis of algorithms, and especially graph algorithms and computational geometry.
Xiangen Hu is a professor in the Department of Psychology at The University of Memphis. His research interests include General Processing Tree (GPT) models, categorical data analysis, knowledge representation, computerized tutoring, and advanced distributed learning.


Reviews

From the reviews:

“The editors of this book have compiled a set of papers that provide insight into knowledge space theory and related practical deployment issues. … anyone involved in a learning discipline will find this book to be a helpful guide to the terms, issues, and theory development of knowledge spaces. I recommend it for researchers and practitioners willing to improve their understanding of current knowledge space theory and the possibilities for its deployment.” (F. J. Ruzic, Computing Reviews, November, 2013)


Table of contents (14 chapters)

  • Overview

    Falmagne, Jean-Claude (et al.)

    Pages 3-26

  • Assessing Mathematical Knowledge in a Learning Space

    Cosyn, Eric (et al.)

    Pages 27-50

  • ALEKS-based Placement at the University of Illinois

    Reddy, Alison Ahlgren (et al.)

    Pages 51-68

  • The Impact of a Mathematical Intelligent Tutoring System on Students’ Performance on Standardized High-Stake Tests

    Sullins, Jeremiah (et al.)

    Pages 69-78

  • A Potential Technological Solution for Reducing the Achievement Gap Between White And Black Students

    Hu, Xiangen (et al.)

    Pages 79-91

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-642-35329-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-642-35328-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-3-642-43441-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Knowledge Spaces
Book Subtitle
Applications in Education
Editors
  • Jean-Claude Falmagne
  • Dietrich Albert
  • Christopher Doble
  • David Eppstein
  • Xiangen Hu
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-35329-1
DOI
10.1007/978-3-642-35329-1
Hardcover ISBN
978-3-642-35328-4
Softcover ISBN
978-3-642-43441-9
Edition Number
1
Number of Pages
XII, 354
Number of Illustrations and Tables
50 b/w illustrations, 15 illustrations in colour
Topics