Knowledge Spaces

Part I. Learning in a Knowledge Space

1. Overview
Jean-Claude Falmagne, Christopher Doble

2. Assessing Mathematical Knowledge in a Learning Space
Eric Cosyn, Christopher Doble, Jean-Claude Falmagne, Arnaud Lenoble, Nicolas Thiéry, Hasan Uzun

3.
ALEKS-based Placement at the University of Illinois
Alison Ahlgren Reddy, Marc Harper

4. The Impact of a Mathematical Intelligent Tutoring System on Students’ Performance on Standardized High-Stake Tests
Jeremiah Sullins, Rob Meister, Scotty D. Craig, William M. Wilson, Anna Bargagliotti, Xiangen Hu

5. A Potential Technological Solution for Reducing the Achievement Gap Between White And Black Students
Xiangen Hu, Yonghong Jade Xu, Charles Hall, Kristin Walker, Theresa Okwumabua

6. A Commercial Implementation of Knowledge Space Theory In College General Chemistry
Christopher J. Grayce

7. Using Knowledge Space Theory to Assess Student Understanding of Chemistry
Mare Taagepera, Ramesh D. Arasasingham

Part II. Recent Theoretical Progress

8. Learning Spaces: A Mathematical Compendium
Jean-Paul Doignon, Jean-Claude Falmagne, Eric Cosyn

9. Recent Developments in Performance-based Knowledge Space Theory
Ali Ünlü, Martin Schrepp, Jürgen Heller, Cord Hockemeyer, Gudrun Wesiak, Dietrich Albert

10. Heuristics for Generating and Validating Surmise Relations across, between and within Sets/Tests
Dietrich Albert, Gudrun Wesiak, Ali Ünlü

11. Skills, Competencies and Knowledge Structures
Jürgen Heller, Ali Ünlü, Dietrich Albert

12. Recent Developments in Competence-based Knowledge Space Theory
Jürgen Heller, Thomas Augustin, Cord Hockemeyer, Luca Stefanutti, Dietrich Albert

13. Learning Sequences: An Efficient Data Structure for Learning Spaces
David Eppstein

14. Projection, Decomposition, and Adaption of Learning Spaces
David Eppstein

Nyckelord: Mathematics, Mathematical Models of Cognitive Processes and Neural Networks, Combinatorics, Probability Theory and Stochastic Processes, Educational Technology, Assessment, Testing and Evaluation, Artificial Intelligence (incl. Robotics)