2011

Learning Spaces

Interdisciplinary Applied Mathematics

Authors:

ISBN: 978-3-642-01038-5 (Print) 978-3-642-01039-2 (Online)

Table of contents (18 chapters)

  1. Front Matter

    Pages i-xv

  2. No Access

    Book Chapter

    Pages 1-21

    Overview and Basic Mathematical Concepts

  3. No Access

    Book Chapter

    Pages 23-41

    Knowledge Structures and Learning Spaces

  4. No Access

    Book Chapter

    Pages 43-60

    Knowledge Spaces

  5. No Access

    Book Chapter

    Pages 61-79

    Well-Graded Knowledge Structures

  6. No Access

    Book Chapter

    Pages 81-101

    Surmise Systems

  7. No Access

    Book Chapter

    Pages 103-117

    Skill Maps, Labels and Filters

  8. No Access

    Book Chapter

    Pages 119-131

    Entailments and the Maximal Mesh

  9. No Access

    Book Chapter

    Pages 133-150

    Galois Connections*

  10. No Access

    Book Chapter

    Pages 151-162

    Descriptive and Assessment Languages*

  11. No Access

    Book Chapter

    Pages 163-185

    Learning Spaces and Media

  12. No Access

    Book Chapter

    Pages 187-214

    Probabilistic Knowledge Structures

  13. No Access

    Book Chapter

    Pages 215-240

    Stochastic Learning Paths*

  14. No Access

    Book Chapter

    Pages 241-272

    Uncovering the Latent State: A Continuous Markov Procedure

  15. No Access

    Book Chapter

    Pages 273-296

    A Markov Chain Procedure

  16. No Access

    Book Chapter

    Pages 297-333

    Building a Knowledge Space

  17. No Access

    Book Chapter

    Pages 335-357

    Building a Learning space

  18. No Access

    Book Chapter

    Pages 359-374

    Analyzing the Validity of an Assessment

  19. No Access

    Book Chapter

    Pages 375-377

    Open Problems

  20. Back Matter

    Pages 379-417