It's highly to related to another of my favorite quotes "Seek first to understand, then to be understood." It's saying that if you want to convince someone of your point of view, you have to do it from their current frame of reference, not yours.
That's an excellent way to take that quotation, but note that it's probably actually derived from a famous prayer ascribed to St Francis of Assisi in which it surely isn't referring to what one should to in order to convince someone else of something.
(The prayer almost certainly has nothing much to do with St Francis, other than maybe being inspired by something written by one of his associates. But that's not important right now.)
Another month, another rationality quotes thread. The rules are: