> Wrong answers on a math test are wrong. Software projects that don't compile should fail.

As a former grader and TA for both math and physics, I can tell you this is not the case. I've had students get the right answer the wrong way, stumbling into the correct numeric answer with invalid or incorrect math. I've also had students get 90% of the way through a large problem only to make a simple arithmetic error that lead to the wrong numeric answer.

Which student deserves more partial credit? Or should I pass the student who made math errors but got the right answer, and fail the student who grasped the concepts but made a trivial calculation mistake?