I'm starting a new semester so I can't help but think about grading. I believe that grades serve the useful purpose of forcing students to work harder than they otherwise might. I think, however, that they are of limited usefulness in actually measuring anything. If a question shows us that some item of knowledge has been acquired by the student what is the likelihood that that knowledge will be retained a year from now? or two years from now? And no two items of knowledge will be of equal usefulness. How can we estimate that? And some items of knowledge will prove useful for one student but not for others. And these things will all change as time passes.
It would be interesting to search out roughly equivalent cases in the casebases from various Asa H agents and compare their vector utilities.
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