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interdisciplinary applied mathematics

Book's cover
The cover of “Learning spaces” - Open Library.

"Learning spaces" was published by Springer in 2011 - Heidelberg [Germany], it has 417 pages and the language of the book is English.


“Learning spaces” Metadata:

  • Title: Learning spaces
  • Author:
  • Language: English
  • Number of Pages: 417
  • Publisher: Springer
  • Publish Date:
  • Publish Location: Heidelberg [Germany]

“Learning spaces” Subjects and Themes:

Edition Specifications:

  • Pagination: xv, 417 p. :

Edition Identifiers:

AI-generated Review of “Learning spaces”:


"Learning spaces" Table Of Contents:

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

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  • Title: Learning spaces - Ebook

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