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Math-Bridge
Education Solution
STUDENT INTERFACE OF
MATH-BRIDGE
Dr. Giorgi Goguadze
Main Page (Dashboard) – A Collection of Pre-
recorded and generated courses
Recorded
books
Generated
courses
Tests and
questionnaires
Bookmarks
Instructional
video
Registration/Login Dialogue
Registration/Login Dialogue
• Choose login name/password
• Sometimes students enroll into
special groups in order to
receive special treatment
strategy, or particular courses
only
• Important legal clause – saving
personal data, depending on the
country this might be subject to
changes
• Full name and email address are
optional
• Entering field of interests might
affect the adaptation of
examples in generated courses
• Specifying learning context
restricts access to the material
to those suitable for this context
Extended Book Concept : 3-Panel Interface
‣ Table of Contents on the left, hierarchical menu
‣ Sequence of Learning Objects in the middle panel
‣ Related concepts and other Metadata in the right panel
Extended Book Concept : Defining Bookmarks
Click to bookmark this page
The check box indicates a bookmark
Bookmarks show up
in a separate panel
in the dashboard
Left panel: Table of contents with progress indicator
Hierarchical
structure
Progress indicators
using percentages
Left panel: progress indicators
• Success indicators can have different modes showing different kind of progress
• If the indicator type is set to success, only correctly solved exercises contribute
Left panel: progress indicators
Left panel: progress indicators
• If the indicator type is set to success, only correctly solved exercises contribute
Exercise incorrect
No success indicated
Left panel: progress indicators
• If the indicator type is set to effort, then all attempts contribute, even the wrong ones
Exercise incorrect
Success indicates a
solution attempt
Left panel: progress indicators
• If the indicator type is set to mastery, then the success can also decrease
Exercise incorrect
Success decreases
with incorrect solutions
Left panel: progress indicators
• If the indicator type is set to none, then no success indicators are shown
Right panel: Metadata of an item
• Title and type of the Learning Object
• Authors, Editors, Date of Creation, other general Metadata
• License of the Learning Object
Right panel: Metadata of an item
• Languages in which the item is available
• Relations to other items
Right panel: Switching Language of a LO
Switching the language here will
affect the selected learning object
Right panel: Switching Language of an LO
Right panel: Social voting feature
• Distribution of votes by different users result into percentage of red and
green colors
• Public comments as well as private notes can be attached to an item
• Problems in content and system can be reported to the developers
Semantic Search Function
Semantic Search Function
Find exercises
about derivatives
Click on one
exerciseThe exercise opens
in a new tab and
can be solved
Adaptive Course Generation
Choose a Scenario
for the Course-
Generation
Choose the topic
(one or more
concepts or a
course chapter)
Adaptive Course Generation
Review the
summary of the
course generation
parameters
Adaptive Course Generation
Generated course is
adapted to the
learner
Adaptive Course Generation
Micro- Course generation
• Near each exercise there is a button „more about the topic“
• A micro course about the focus concepts of the exercise is generated
on click
• If the course is not adapted to the user, it always contains all the
information about the topic and its prerequisites
Micro- Course generation
• A generated static micro course can be very big, almost not
“mirco” any longer
• It might be better if it is adapted to the learner
• The course is then much smaller
• The learner only gets information he does not already know
• Examples in the course are adapted to the learner as well
Formula editor and further interactive elements
• Formula Editor enables input of mathematical formulas
• Exercises with simple answers can be solved without formula editor
• Formula editor can work with different palettes
Exercises types: Self Assessment
• Solve a Self-assessment exercises on the paper
• Compare your solution with the given model solution
• Estimate the correctness on own solution
Exercises types: multiple choice
• Single or multiple answer exercises possible
• Flag Feedback via coloring the chosen answers red or green, plus
correct/wrong symbols
Exercises types: fill in blank
• Use formula editor for entering answers
• Flag Feedback is presented in a form of coloring and special correct/wrong
symbols
Exercises with intelligent Feedback using CAS
• „Flag Feedback” (Correct/Wrong)
• Matching exact answers, as well as semantically equivalent
Intelligent exercises using Domain Reasoners
• „Flag Feedback” (Correct/Wrong)
• Matching various correct (expert) solution paths
• Error Feedback for typical errors via matching buggy-rules
Intelligent Exercises using Domain Reasoners
• Generated Next-Step hints on student’s solution path
• hints with increasing level of detail
• Generated Worked out solutions
Further interactive Elements
• Arbitrary external multimedia can be integrated into the system
• A web2.0-based Framework allows for communication of integrated
external content with the user model
Thank you.
The Mathematical Bridge, Cambridge, England
Hands-On Tasks
• Register in the System
• Browse a Book
• Click on Learning Objects
• Open Right Panel
• Browse Metadata
• Browse Related Los
• Check Authorship, Copyright
• Make Bookmarks
• Try to solve simple exercises to see the progress of success indicators
• Wait for the Administrator to change the indicator type
• Solve more exercises to see the progress indicators change in a different way
• Wait for the Administrator to change the indicator type
• Solve more exercises to see the progress indicators change in a different way
• Use micro course generation by clicking on a button “weiteres zum thema”

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Math-Bridge Student Interface

  • 3. Main Page (Dashboard) – A Collection of Pre- recorded and generated courses Recorded books Generated courses Tests and questionnaires Bookmarks Instructional video
  • 5. Registration/Login Dialogue • Choose login name/password • Sometimes students enroll into special groups in order to receive special treatment strategy, or particular courses only • Important legal clause – saving personal data, depending on the country this might be subject to changes • Full name and email address are optional • Entering field of interests might affect the adaptation of examples in generated courses • Specifying learning context restricts access to the material to those suitable for this context
  • 6. Extended Book Concept : 3-Panel Interface ‣ Table of Contents on the left, hierarchical menu ‣ Sequence of Learning Objects in the middle panel ‣ Related concepts and other Metadata in the right panel
  • 7. Extended Book Concept : Defining Bookmarks Click to bookmark this page The check box indicates a bookmark Bookmarks show up in a separate panel in the dashboard
  • 8. Left panel: Table of contents with progress indicator Hierarchical structure Progress indicators using percentages
  • 9. Left panel: progress indicators • Success indicators can have different modes showing different kind of progress • If the indicator type is set to success, only correctly solved exercises contribute
  • 10. Left panel: progress indicators
  • 11. Left panel: progress indicators • If the indicator type is set to success, only correctly solved exercises contribute Exercise incorrect No success indicated
  • 12. Left panel: progress indicators • If the indicator type is set to effort, then all attempts contribute, even the wrong ones Exercise incorrect Success indicates a solution attempt
  • 13. Left panel: progress indicators • If the indicator type is set to mastery, then the success can also decrease Exercise incorrect Success decreases with incorrect solutions
  • 14. Left panel: progress indicators • If the indicator type is set to none, then no success indicators are shown
  • 15. Right panel: Metadata of an item • Title and type of the Learning Object • Authors, Editors, Date of Creation, other general Metadata • License of the Learning Object
  • 16. Right panel: Metadata of an item • Languages in which the item is available • Relations to other items
  • 17. Right panel: Switching Language of a LO Switching the language here will affect the selected learning object
  • 18. Right panel: Switching Language of an LO
  • 19. Right panel: Social voting feature • Distribution of votes by different users result into percentage of red and green colors • Public comments as well as private notes can be attached to an item • Problems in content and system can be reported to the developers
  • 21. Semantic Search Function Find exercises about derivatives Click on one exerciseThe exercise opens in a new tab and can be solved
  • 22. Adaptive Course Generation Choose a Scenario for the Course- Generation
  • 23. Choose the topic (one or more concepts or a course chapter) Adaptive Course Generation
  • 24. Review the summary of the course generation parameters Adaptive Course Generation
  • 25. Generated course is adapted to the learner Adaptive Course Generation
  • 26. Micro- Course generation • Near each exercise there is a button „more about the topic“ • A micro course about the focus concepts of the exercise is generated on click • If the course is not adapted to the user, it always contains all the information about the topic and its prerequisites
  • 27. Micro- Course generation • A generated static micro course can be very big, almost not “mirco” any longer • It might be better if it is adapted to the learner • The course is then much smaller • The learner only gets information he does not already know • Examples in the course are adapted to the learner as well
  • 28. Formula editor and further interactive elements • Formula Editor enables input of mathematical formulas • Exercises with simple answers can be solved without formula editor • Formula editor can work with different palettes
  • 29. Exercises types: Self Assessment • Solve a Self-assessment exercises on the paper • Compare your solution with the given model solution • Estimate the correctness on own solution
  • 30. Exercises types: multiple choice • Single or multiple answer exercises possible • Flag Feedback via coloring the chosen answers red or green, plus correct/wrong symbols
  • 31. Exercises types: fill in blank • Use formula editor for entering answers • Flag Feedback is presented in a form of coloring and special correct/wrong symbols
  • 32. Exercises with intelligent Feedback using CAS • „Flag Feedback” (Correct/Wrong) • Matching exact answers, as well as semantically equivalent
  • 33. Intelligent exercises using Domain Reasoners • „Flag Feedback” (Correct/Wrong) • Matching various correct (expert) solution paths • Error Feedback for typical errors via matching buggy-rules
  • 34. Intelligent Exercises using Domain Reasoners • Generated Next-Step hints on student’s solution path • hints with increasing level of detail • Generated Worked out solutions
  • 35. Further interactive Elements • Arbitrary external multimedia can be integrated into the system • A web2.0-based Framework allows for communication of integrated external content with the user model
  • 36. Thank you. The Mathematical Bridge, Cambridge, England
  • 37. Hands-On Tasks • Register in the System • Browse a Book • Click on Learning Objects • Open Right Panel • Browse Metadata • Browse Related Los • Check Authorship, Copyright • Make Bookmarks • Try to solve simple exercises to see the progress of success indicators • Wait for the Administrator to change the indicator type • Solve more exercises to see the progress indicators change in a different way • Wait for the Administrator to change the indicator type • Solve more exercises to see the progress indicators change in a different way • Use micro course generation by clicking on a button “weiteres zum thema”

Editor's Notes

  • #2: Diese Vorlage kann als Ausgangsdatei für ein Fotoalbum verwendet werden.