This document provides guidance for authoring advanced math exercises in Math-Bridge, an education solution. It explains that exercise steps should include different interaction types and that the order of transition conditions is important, with the first matching the final correct answer and the default transition last. It also recommends using syntactic comparison for the exact correct answer and semantic comparison for other conditions like correct but simplified answers or typical errors. Partial credit can be given based on syntactic and semantic analysis of responses.

1. Math-Bridge
Education Solution

2. AUTHORING ADVANCED MATH-
BRIDGE EXERCISES
Dr. Giorgi Goguadze

3. Properly Author Metadata
Give a title to make it easy to find
Annotated domain dependencies
to enable adaptation and course
generation
Annotate proper difficulty

4. Author Advanced Exercise Loops

5. Exercise steps with different types of interactions

6. Execution order of transitions is important
• The transitions are checked in the order they are authored
• Therefore, the first condition should match the final correct answer
• If the second condition is reached, it automatically means that the first one
did not match
• The default transition is always authored at last, since no other transition
created after the default one will be reached

7. Transition for final correct answer
• This condition is authored at first
• Syntactic comparison is used

8. Transition for correct, but not simplified answer
• Semantic comparison is used

9. Transition matching a typical erroneous answer
• Semantic comparison is used to match all inputs equivalent to
the typical error

10. Transition matching a typical erroneous answer
• The last transition is the default one

11. Syntactic/Semantic Diagnosis, Partial Correctness

12. Syntactic/Semantic Diagnosis, Partial Correctness

13. Thank you.
The Mathematical Bridge, Cambridge, England