Knowledge spaces : applications in education

Includes bibliographical references (pages 323-344) and index.

Learning in a knowledge space. Overview / Jean-Claude Falmagne, Christopher Doble -- Assessing mathematical knowledge in a learning space / Eric Cosyn [and five others] -- ALEKS-based placement at the University of Illinois / Alison Ahlgren Reddy, Marc Harper -- The impact of a mathematical intelligent tutoring system on students' performance on standardized high-stake tests / Jeremiah Sullins [and five others] -- A potential technological solution for reducing the achievement gap between white and black students / Xiangen Hu [and four others] -- A commercial implementation of knowledge space theory in college general chemistry / Christopher J. Grayce -- Using knowledge space theory to assess student understanding of chemistry / Mare Taagepera, Ramesh D. Arasasingham -- Recent theoretical progress. Learning spaces: a mathematical compendium / Jean-Paul Doignon, Jean-Claude Falmagne, Eric Cosyn -- Recent developments in performance-based knowledge space theory / Ali Ünlü [and five others] -- Generating and validating relations between sets/tests / Dietrich Albert, Gudrun Wesiak, Ali Ünlü -- Skills, competencies and knowledge structures / Jürgen Heller, Ali Ünlü, Dietrich Albert -- Recent developments in competence-based knowledge space theory / Jürgen Heller [and four others] -- Learning sequences: an efficient data structure for learning spaces / David Eppstein -- Projection, decomposition, and adaption of learning spaces / David Eppstein.