An argument that does not address the stated result (or answer the given question) should be given 0 marks in all categories.
- Logical correctness: 0/2/4
- Clarity: 0/2/4
- Opening: 0/2/4
- Stating the conclusion: 0/2/4
- Reasons: 0/2/4
- Overall evaluation: 0/2/4
Novice (0 points)
The answer given is fundamentally wrong.
Apprentice (2 points)
The approach is generally correct, but there is at least one significant error.
Practitioner (4 points)
Other than perhaps a minor slip, the proof is complete and correct.
Novice (0 points)
Overall, the argument is hard or impossible to follow.
Apprentice (2 points)
Can follow it with some effort. Some parts may be clearer than others.
Practitioner (4 points)
Clear and easy to follow throughout.
Novice (0 points)
No opening statement of what is being proved. No mention of use of
standard method, where relevant (e.g. induction).
Apprentice (2 points)
There is a statement of what is being proved (inc. mention of a standard method, if relevant), but it comes later and/or is incomplete.
Practitioner (4 points)
Clear, correct opening statement of what is being proved, with statement of method if a standard method is used.
Novice (0 points)
Argument ends abruptly, without stating or acknowledging a conclusion.
Apprentice (2 points)
Argument ends with some form of concluding statement, but it is not clear and definitive.
Practitioner (4 points)
Argument concludes with a clear and concise statement indicating that the desired result has been established.
Novice (0 points)
Significant steps presented without justification.
Apprentice (2 points)
Some significant steps are justified, but at least one is not.
Practitioner (4 points)
Reasons are given for all significant steps.
Novice (0 points)
Overall, this is not a good answer.
Apprentice (2 points)
The answer is fairly good, but there is room for improvement.
Practitioner (4 points)
Discounting small, minor slips, this is a good answer.