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was known for being a bit gruff with colleagues who__________________________________________________________________
didn't know what was going on, but he was more than
patient with freshmen and sophomores who didn't know
what was going on.
When he was working problems at the blackboard, he
didn't just show the solution. He commented on the
method of solution as he went along, which is where
this story makes contact with the subject of this
message. He would often say "At this point, you
may be tempted to try XXX, but that's a trap. You
can recognize traps of this sort by noticing ....."
I was quite struck by that. It was not even a case
of RPF "remembering" what it was like to be a student,
because he was so $#@! smart that he had probably
never in his life fallen into the sort of trap he was
discussing. The point is that he took his job as
teacher very seriously, and he was discussing things
at the students' level. He made it his business to
find out what the students found easy and what they
found hard and confusing. He did this partly by just
plain talking to students, and partly by looking at
their homework papers (even though he had graders who
did most of the grading).