A good teacher knows how to win people over through reasoning.
Tips
usage
Positive idiom for persuasion style. Often contrasted with 以势压人 ('bully by force/position') and 以力服人 ('subdue by force'). Common in education, management, debate contexts.
grammar
The 以X服人 frame is productive: 以理服人 (with reason), 以德服人 (with virtue), 以力服人 (with force). 以 introduces the means; 服 here is the causative 'to make [others] submit/convinced.'
