I teach math with about two years of experience now. In general I have found that all the cliches about graduate school teaching you "how to research but not how to teach" are true. But I have also found many great resources (at my institution, online, in print, etc.) that are helping me, over time, work through my teaching deficits.
...in all things but grading.
I struggle with many grading decisions: from small things, like grading individual homework problems, all the way up to life-changing things like evaluating master's degree defenses. What I lack is a coherent philosophy of grading that might motivate my various grading policies/strategies/choices.
Interestingly, I have not found good resources for this. Yes, my institution provides a tiny bit of guidance, but it is very broad. This forum contains a hundred or so questions tagged with "grading", which is a good start, but I wonder if there are resources that provide a more cohesive treatment of the subject.
I want to hear about theories of grading. I want principles which flow naturally from the theories. I want applications and strategies which build on the principles. I want to hear different viewpoints on the issues so I can evaluate their relative strengths and weaknesses as I come to understand my own thoughts better. In short, I want it all.
Do any such resources exist? Can anyone point me in the right direction? If these don't exist, why not?
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