For many years, I've been an instructor for lower level undergraduate math classes (precalculus through calculus III). During that time, I've noticed that the vast majority of problems I assigned were mostly computations rather than proofs. I gained a lot of expereince teaching these classes and gained a sense of how to grade computationally focused problems.
However, now I'm teaching an advanced mathematics course (linear algebra) with both computation and proofs as significant components. I feel that proofs should be graded somewhat differently from how computations are graded, but I can't seem to put my finger on how.
What are some useful strategies for grading proofs and how do they compare to (or differ from) grading computational problems?