Overview
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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Table of contents (14 chapters)
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Front Matter
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Learning in a Knowledge Space
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Front Matter
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Recent Theoretical Progress
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Front Matter
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Back Matter
Keywords
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.
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)
Editors and Affiliations
About the editors
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.
Bibliographic Information
Book Title: Knowledge Spaces
Book Subtitle: Applications in Education
Editors: Jean-Claude Falmagne, Dietrich Albert, Christopher Doble, David Eppstein, Xiangen Hu
DOI: https://doi.org/10.1007/978-3-642-35329-1
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2013
Hardcover ISBN: 978-3-642-35328-4Published: 03 July 2013
Softcover ISBN: 978-3-642-43441-9Published: 16 July 2015
eBook ISBN: 978-3-642-35329-1Published: 20 June 2013
Edition Number: 1
Number of Pages: XII, 354
Number of Illustrations: 50 b/w illustrations, 15 illustrations in colour
Topics: Mathematical Models of Cognitive Processes and Neural Networks, Combinatorics, Probability Theory and Stochastic Processes, Educational Technology, Assessment, Testing and Evaluation, Artificial Intelligence