Nov 7, 2012. The Socratic method of teaching is difficult to define in simple terms, but it involves a style of question orientated dialogue where the teacher. The Socratic Method In the early dialogues, Socrates is often shown in the company of someone who professes to know something Socrates himself claims not. He started teaching at Niles Township High School in Skokie in 1963 and introduced an open style of…