Learning spaces
Subtitle: interdisciplinary applied mathematics
By: Jean-Claude Falmagne, Jean-Paul Doignon
Contributors: Doignon, Jean-Paul; Doignon, Jean-Paul
Publisher: Springer
Published: 2011
Place of publication: Heidelberg [Germany]; New York
Language: eng
Number of pages: 417
ISBN-13: 9783642010385
Subjects: Educational applications; Algorithmische Lerntheorie; Grading and marking (Students); Wissensraumtheorie; Artificial intelligence; Intelligent tutoring systems
Notes: "This book is a much enlarged second edition of Knowledge spaces, by Jean-Paul Doignon and Jean-Claude Falmagne, which appeared in 1999"--Pref.

Includes bibliographical references (p. [397]-408) and index.
Table of contents: title: 1. Overview and basic mathematical concepts; title: 2. Knowledge structures and learning spaces; title: 3. Knowledge spaces; title: 4. Well-graded knowledge structures; title: 5. Surmise systems; title: 6. Skill maps, labels, and filters; title: 7. Entailments and the maximal mesh; title: 8. Galois connections; title: 9. Descriptive and assessment languages; title: 10. Learning spaces and media; title: 11. Probabilistic knowledge structures; title: 12. Stochastic learning paths; title: 13. Uncovering the latent state: a continuous Markov procedure; title: 14. A Markov chain procedure; title: 15. Building a knowledge space; title: 16. Building a learning space; title: 17. Analyzing the validity of an assessment; title: 18. Open problems.