Towards a Wiki for Interactive Educational Mathematics

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6th JEM Workshop (Joining Educational Mathematics), ICWL 2009, Aachen, Germany

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Towards a Wiki for Interactive Educational Mathematics

  1. 1. Vision SWiM Semantic Wiki JOBAD Interactive Docs Roadmap Conclusion Towards a Wiki for Interactive Educational Mathematics 6th JEM Workshop @ ICWL 2009 Christoph Lange Jacobs University, Bremen, Germany KWARC – Knowledge Adaptation and Reasoning for Content This work was supported by JEM-Thematic-Network ECP-038208. August 21, 2009 Ch. Lange (Jacobs University) Towards a Wiki for Interactive Educational Mathematics August 21, 2009 1/13
  2. 2. Vision SWiM Semantic Wiki JOBAD Interactive Docs Roadmap Conclusion The Vision browse discuss edit Ch. Lange (Jacobs University) Towards a Wiki for Interactive Educational Mathematics August 21, 2009 2/13
  3. 3. Vision SWiM Semantic Wiki JOBAD Interactive Docs Roadmap Conclusion Building Block: SWiM Semantic Wiki base infrastructure permission management traditional wiki: all users equal browse here maybe: student ≠ teacher discuss edit Ch. Lange (Jacobs University) Towards a Wiki for Interactive Educational Mathematics August 21, 2009 3/13
  4. 4. Vision SWiM Semantic Wiki JOBAD Interactive Docs Roadmap Conclusion Building Block: JOBAD (Web Services in Interactive Documents) understand access web services browse discuss edit Ch. Lange (Jacobs University) Towards a Wiki for Interactive Educational Mathematics August 21, 2009 4/13
  5. 5. Vision SWiM Semantic Wiki JOBAD Interactive Docs Roadmap Conclusion SWiM – A Semantic Wiki for Mathematics http://wiki.openmath.org Special focus on OpenMath Content Dictionary Maintenance, but generalisable Ch. Lange (Jacobs University) Towards a Wiki for Interactive Educational Mathematics August 21, 2009 5/13
  6. 6. Vision SWiM Semantic Wiki JOBAD Interactive Docs Roadmap Conclusion SWiM: Minor Fixes (1) One OpenMath CD is one file in a Subversion repository, but what you actually fix is, e. g., a typo in the description of a symbol. Ch. Lange (Jacobs University) Towards a Wiki for Interactive Educational Mathematics August 21, 2009 6/13
  7. 7. Vision SWiM Semantic Wiki JOBAD Interactive Docs Roadmap Conclusion SWiM: Minor Fixes (2) $ svn log transc1.ocd ... r1234 | clange | 2009-05-11 13:06:41 +0200 (Mon, 11 May 2009) | 2 lines [Administrator@SWiM] replaced metadata field dc:description Actually changed fragment cd:transc1+sin SWiM as a Subversion frontend enables fine-grained maintenance. Ch. Lange (Jacobs University) Towards a Wiki for Interactive Educational Mathematics August 21, 2009 7/13
  8. 8. Vision SWiM Semantic Wiki JOBAD Interactive Docs Roadmap Conclusion SWiM: Discuss Revisions Local discussion forums per wiki page (CD, symbol, etc.) Posts classified w. r. t. argumentation ontology ⇒ enables problem-solving assistance Ongoing survey: http://tinyurl.com/5qdetd Ch. Lange (Jacobs University) Towards a Wiki for Interactive Educational Mathematics August 21, 2009 8/13
  9. 9. Vision SWiM Semantic Wiki JOBAD Interactive Docs Roadmap Conclusion SWiM: Edit and Verify Notations Ch. Lange (Jacobs University) Towards a Wiki for Interactive Educational Mathematics August 21, 2009 9/13
  10. 10. Vision SWiM Semantic Wiki JOBAD Interactive Docs Roadmap Conclusion JOBAD: Definition Lookup Service http://jomdoc.omdoc.org/wiki/AI-Mashup Lecture Notes with interactive lookup of symbol definitions Ch. Lange (Jacobs University) Towards a Wiki for Interactive Educational Mathematics August 21, 2009 10/13
  11. 11. Vision SWiM Semantic Wiki JOBAD Interactive Docs Roadmap Conclusion JOBAD: Architecture integrated backend or independent web services unit content notation converter dictionaries collection Web Services proxy renderer menu layers elision folding unit definition notation initially mouse keybd conversion lookup selection generates Client Modules action GUI objects Services Document XHTML+MathML+OpenMath, JavaScript Ch. Lange (Jacobs University) Towards a Wiki for Interactive Educational Mathematics August 21, 2009 11/13
  12. 12. Vision SWiM Semantic Wiki JOBAD Interactive Docs Roadmap Conclusion Roadmap 1 Basics: put JavaScript and a backend together – done with TNTBase backend 2 Offer services that we have: definition lookup; later: notation switching 3 Integrate 3rd party services: unit conversion; later: CAS, MathDox, ActiveMath services 4 Outreach to the web: links to related resources, e. g. on Wikipedia 5 Most frequently requested: save adaptations – simply store current state; later: user modelling 6 Not just formulæ: visualised rhetorical structures, interactive proof exploration Ch. Lange (Jacobs University) Towards a Wiki for Interactive Educational Mathematics August 21, 2009 12/13
  13. 13. Vision SWiM Semantic Wiki JOBAD Interactive Docs Roadmap Conclusion Conclusion interact with web services browse discuss edit Ch. Lange (Jacobs University) Towards a Wiki for Interactive Educational Mathematics August 21, 2009 13/13

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