Knowledge Spaces

Applications in Education

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

Table of contents

  1. Front Matter
    Pages I-XII
  2. Learning in a Knowledge Space

    1. Front Matter
      Pages 1-1
    2. Jean-Claude Falmagne, Christopher Doble
      Pages 3-26
    3. Eric Cosyn, Christopher Doble, Jean-Claude Falmagne, Arnaud Lenoble, Nicolas Thiéry, Hasan Uzun
      Pages 27-50
    4. Alison Ahlgren Reddy, Marc Harper
      Pages 51-68
    5. Jeremiah Sullins, Rob Meister, Scotty D. Craig, William M. Wilson, Anna Bargagliotti, Xiangen Hu
      Pages 69-78
    6. Xiangen Hu, Yonghong Jade Xu, Charles Hall, Kristin Walker, Theresa Okwumabua
      Pages 79-91
    7. Mare Taagepera, Ramesh D. Arasasingham
      Pages 115-128
  3. Recent Theoretical Progress

    1. Front Matter
      Pages 129-129
    2. Jean-Paul Doignon, Jean-Claude Falmagne, Eric Cosyn
      Pages 131-145
    3. Ali Ünlü, Martin Schrepp, Jürgen Heller, Cord Hockemeyer, Gudrun Wesiak, Dietrich Albert
      Pages 147-192
    4. Jürgen Heller, Ali Ünlü, Dietrich Albert
      Pages 229-242
    5. Jürgen Heller, Thomas Augustin, Cord Hockemeyer, Luca Stefanutti, Dietrich Albert
      Pages 243-286
  4. Back Matter
    Pages 323-354

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.


Accurate and precise assessment Alternative to psychometric testing Efficient teaching

Editors and affiliations

  • Jean-Claude Falmagne
    • 1
  • Dietrich Albert
    • 2
  • Christopher Doble
    • 3
  • David Eppstein
    • 4
  • Xiangen Hu
    • 5
  1. 1.School of Social Sciences, Dept. Cognitive SciencesUniversity of California, IrvineIrvineUSA
  2. 2., Department of PsychologyUniversity of GrazGrazAustria
  3. 3.ALEKS CorporationIrvineUSA
  4. 4.Donald Bren School of Information &, Computer SciencesUniversity of California, IrvineIrvineUSA
  5. 5., Department of PsychologyUniversity of MemphisMemphisUSA

Bibliographic information