My grading of problems is intended to be rather bimodal:
I try to give more than half the possible points
to any answer that is basically correct, and
fewer than half the possible points otherwise.
This translates to less partial
credit than many students are used to.
In the “extreme” version of this grading convention, your score
is simply the number of problems for which you provide a well-written,
fully correct solution.
Indeed that is how I would like to grade, but I have found it
infeasible because it would result in too many students getting zero or
near-zero scores.
Still, I do try, to the extent that it is workable,
to approximate this ideal.
The upshot is that if you’re a student who survives on partial credit,
you will probably end up doing poorly in my classes.
The reason for bimodal grading
is that I prefer people to know things and to be clear about what
they do and do not know.
If you can’t solve a problem, just say so.
Explain what you’ve tried.
It doesn’t bother me when a student
can’t solve problems I ask—after all,
I can’t solve most of the problems I consider, either.
What you shouldn’t do is to bullshit an answer,
copy an answer,
try to adapt an answer you don’t fully understand,
or say things that fundamentally don’t make sense.
In the ideal world, any of these things would earn you a worse score
than saying nothing at all.