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Towards a Wiki for Interactive Educational Mathematics
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Transcript of Towards a Wiki for Interactive Educational Mathematics
Vision SWiM Semantic Wiki JOBAD Interactive Docs Roadmap Conclusion
Towards a Wiki for Interactive EducationalMathematics
6th JEMWorkshop @ ICWL 2009
Christoph Lange
Jacobs University, Bremen, Germany
KWARC – Knowledge Adaptation and Reasoning for ContentThis 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
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
Vision SWiM Semantic Wiki JOBAD Interactive Docs Roadmap Conclusion
Building Block: SWiM Semantic Wiki
base infrastructurepermission management
traditional wiki: all users equalhere maybe: student ≠ teacher browse
discuss edit
Ch. Lange (Jacobs University) Towards a Wiki for Interactive Educational Mathematics August 21, 2009 3/13
Vision SWiM Semantic Wiki JOBAD Interactive Docs Roadmap Conclusion
Building Block: JOBAD (Web Services inInteractive Documents)
browse
discuss edit
understand
access web services
Ch. Lange (Jacobs University) Towards a Wiki for Interactive Educational Mathematics August 21, 2009 4/13
Vision SWiM Semantic Wiki JOBAD Interactive Docs Roadmap Conclusion
SWiM – A Semantic Wiki for Mathematics
http://wiki.openmath.orgSpecial focus on OpenMath Content Dictionary Maintenance, butgeneralisableCh. Lange (Jacobs University) Towards a Wiki for Interactive Educational Mathematics August 21, 2009 5/13
Vision SWiM Semantic Wiki JOBAD Interactive Docs Roadmap Conclusion
SWiM: Minor Fixes (1)
One OpenMath CD is one filein a Subversion repository, butwhat you actually fix is, e. g., atypo in the description of asymbol.
Ch. Lange (Jacobs University) Towards a Wiki for Interactive Educational Mathematics August 21, 2009 6/13
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 metadatafield dc:descriptionActually 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
Vision SWiM Semantic Wiki JOBAD Interactive Docs Roadmap Conclusion
SWiM: Discuss RevisionsLocal discussion forums per wiki page (CD, symbol, etc.)
Posts classified w. r. t. argumentation ontology⇒ enablesproblem-solving assistanceOngoing survey: http://tinyurl.com/5qdetdCh. Lange (Jacobs University) Towards a Wiki for Interactive Educational Mathematics August 21, 2009 8/13
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
Vision SWiM Semantic Wiki JOBAD Interactive Docs Roadmap Conclusion
JOBAD: Definition Lookup Service
http://jomdoc.omdoc.org/wiki/AI-MashupLecture Notes with interactive lookup of symbol definitions
Ch. Lange (Jacobs University) Towards a Wiki for Interactive Educational Mathematics August 21, 2009 10/13
Vision SWiM Semantic Wiki JOBAD Interactive Docs Roadmap Conclusion
JOBAD: Architecture
integrated backend or independent web services
XHTML+MathML+OpenMath, JavaScript
GUI
menu
mouse
actionobjects Services
foldinglayers
keybddefinitionlookup
notationselection
elision unitconversion
unitconverter
contentdictionaries
notationcollection
renderer
initially generates
Document
Client Modules
Web Services
proxy
Ch. Lange (Jacobs University) Towards a Wiki for Interactive Educational Mathematics August 21, 2009 11/13
Vision SWiM Semantic Wiki JOBAD Interactive Docs Roadmap Conclusion
Roadmap
1 Basics: put JavaScript and a backend together – done withTNTBase backend
2 Offer services that we have: definition lookup; later: notationswitching
3 Integrate 3rd party services: unit conversion; later: CAS,MathDox, ActiveMath services
4 Outreach to the web: links to related resources, e. g. onWikipedia
5 Most frequently requested: save adaptations – simply storecurrent state; later: user modelling
6 Not just formulæ: visualised rhetorical structures, interactiveproof exploration
Ch. Lange (Jacobs University) Towards a Wiki for Interactive Educational Mathematics August 21, 2009 12/13
Vision SWiM Semantic Wiki JOBAD Interactive Docs Roadmap Conclusion
Conclusion
browse
discuss edit
interact with web services
Ch. Lange (Jacobs University) Towards a Wiki for Interactive Educational Mathematics August 21, 2009 13/13