I don't know what sort of expectations your prof has or what he thinks the purpose of his question is, but if it were MY classroom, the "A" essay would be the one that complicates the over-simplification of the the question: "While there's some truth in the dichotomy...[blah, blah, blah, the basic examples etc], there are some important ways in which the Romans did think and the Greeks...[etc., with some telling examples drawn from the course materials and some research]...."
But that's just me.
Louis