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Math-Bridge
Education Solution
EXERCISE AUHORING WITH
DOMAIN REASONERS
Dr. Giorgi Goguadze
Automatic Generation of Exercises in Math-Bridge
Tutorial
Component
Student
Model
Knowledge
Base
Exercise
Manager
User
Interface
Presentation
Engine
Presentation
Strategies
Tutorial
Strategies
Diagnoser
Exercise
GeneratorLocal Student
Model
Feedback
Generator
Query
Broker
Domain
Reasoner
Domain
Reasoner
CAS
strategy IDs
exercise
user input
event
user data
step result
strategy
user input query
resultdiagnosis
local data
feedback
exercise state
strategy
step
diagnosis
step presentation
Exercise
Subsystem
task1
feedback22
Wrong! Try
again
feedback21
Well done!
Interaction1 correct_answerdefault
Simple AUC (Answer Until Correct) Loop
Multi-Step AUC Exercise
task1
feedback12
Wrong! Try
again
feedback11
Well done!
Interaction1
correct_answerdefault
task2
feedback22
Wrong! Try
again
feedback21
Well done!
Interaction2
correct_answerdefault
task3
feedback32
Wrong! Try
again
feedback31
Well done!
Interaction3
correct_answerdefault
AUC Loop with Hint and Solution
task1
feedback12
Wrong! Try
again feedback11
Well done!
Interaction1
correct_answer
feedback_h
Hint: ...
feedback_s
Solution: ...
hint
solutiondefault
AUC Loop with Hint and Solution
task1
feedback12
Wrong! Try
again feedback11
Well done!
Interaction1
correct_answer
feedback_h
Hint: ...
feedback_s
Solution: ...
hint
solutiondefault
Multi-Step AUC with hints and solutions
task1
feedback12
Wrong!
Try again
feedback11
Well done!
Interaction1
correct_answer
feedback_h
Hint: ...
feedback_s
Solution: .
..
hint
solution
default
task1
feedback12
Wrong!
Try again
feedback11
Well done!
Interaction1
correct_answer
feedback_h
Hint: ...
feedback_s
Solution: .
..
hint
solution
default
task1
feedback12
Wrong!
Try again
feedback11
Well done!
Interaction1
correct_answer
feedback_h
Hint: ...
feedback_s
Solution: .
..
hint
solution
default
Select New Exercise/ Generate Quick Exercise
Domain Reasoner Authoring Interface
task1
feedback12
Wrong!
Try again
feedback11
Well done!
Interaction1
correct_answer
feedback_h
Hint: ...
feedback_s
Solution: .
..
hint
solution
default
task1
feedback12
Wrong!
Try again
feedback11
Well done!
Interaction1
correct_answer
feedback_h
Hint: ...
feedback_s
Solution: .
..
hint
solution
default
task1
feedback12
Wrong!
Try again
feedback11
Well done!
Interaction1
correct_answer
feedback_h
Hint: ...
feedback_s
Solution: .
..
hint
solution
default
Erecto!
Generated Exercise
Thank you.
The Mathematical Bridge, Cambridge, England

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Math-Bridge Author DREx

  • 2. EXERCISE AUHORING WITH DOMAIN REASONERS Dr. Giorgi Goguadze
  • 3. Automatic Generation of Exercises in Math-Bridge Tutorial Component Student Model Knowledge Base Exercise Manager User Interface Presentation Engine Presentation Strategies Tutorial Strategies Diagnoser Exercise GeneratorLocal Student Model Feedback Generator Query Broker Domain Reasoner Domain Reasoner CAS strategy IDs exercise user input event user data step result strategy user input query resultdiagnosis local data feedback exercise state strategy step diagnosis step presentation Exercise Subsystem
  • 4. task1 feedback22 Wrong! Try again feedback21 Well done! Interaction1 correct_answerdefault Simple AUC (Answer Until Correct) Loop
  • 5. Multi-Step AUC Exercise task1 feedback12 Wrong! Try again feedback11 Well done! Interaction1 correct_answerdefault task2 feedback22 Wrong! Try again feedback21 Well done! Interaction2 correct_answerdefault task3 feedback32 Wrong! Try again feedback31 Well done! Interaction3 correct_answerdefault
  • 6. AUC Loop with Hint and Solution task1 feedback12 Wrong! Try again feedback11 Well done! Interaction1 correct_answer feedback_h Hint: ... feedback_s Solution: ... hint solutiondefault
  • 7. AUC Loop with Hint and Solution task1 feedback12 Wrong! Try again feedback11 Well done! Interaction1 correct_answer feedback_h Hint: ... feedback_s Solution: ... hint solutiondefault
  • 8. Multi-Step AUC with hints and solutions task1 feedback12 Wrong! Try again feedback11 Well done! Interaction1 correct_answer feedback_h Hint: ... feedback_s Solution: . .. hint solution default task1 feedback12 Wrong! Try again feedback11 Well done! Interaction1 correct_answer feedback_h Hint: ... feedback_s Solution: . .. hint solution default task1 feedback12 Wrong! Try again feedback11 Well done! Interaction1 correct_answer feedback_h Hint: ... feedback_s Solution: . .. hint solution default
  • 9. Select New Exercise/ Generate Quick Exercise
  • 10. Domain Reasoner Authoring Interface task1 feedback12 Wrong! Try again feedback11 Well done! Interaction1 correct_answer feedback_h Hint: ... feedback_s Solution: . .. hint solution default task1 feedback12 Wrong! Try again feedback11 Well done! Interaction1 correct_answer feedback_h Hint: ... feedback_s Solution: . .. hint solution default task1 feedback12 Wrong! Try again feedback11 Well done! Interaction1 correct_answer feedback_h Hint: ... feedback_s Solution: . .. hint solution default Erecto!
  • 12. Thank you. The Mathematical Bridge, Cambridge, England

Editor's Notes

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