Goal
Practice a critical use of GenAI by evaluating an answer instead of trusting it.
Verification reminder. All mathematical claims, solutions, and code should be checked independently by a human.
Suggested task
- Ask the GenAI for an explanation of a topic taught in your department.
- Ask it also for a proof, derivation, or worked example.
- Inspect the result as a group.
- Classify the issues you find: correctness, missing assumptions, notation, exposition, or source limitations.
Example prompt
Explain why every continuous function on a compact interval is uniformly continuous. First give an intuitive explanation for students, then give a short rigorous proof. After that, provide one example showing why compactness matters.
Questions for the group
- Is the proof complete?
- Are assumptions stated correctly?
- Is the intuitive explanation compatible with the proof?
- How easily could a student be misled by a polished but flawed answer?
Minimum output expected from the group
- One concrete flaw you detected
- One category for that flaw: correctness, assumptions, notation, exposition, or source limitation
- One teaching recommendation based on the exercise