This page has a very interesting description of the Socratic method of teaching. The basic idea is that the “teacher” only asks questions and all the answers have to come from the students. Fairly difficult topics can be taught this way and the students will be more involved and interested, and claim is that the students will understand the topic better than a traditional lecture.
The post has a transcript of a session where the author taught the concept of binary numbers (and binary arithmetic) to third grade students. It is really impressive.
There is also an interesting discussion at the end which is also worth reading. Excerpts:
Of course, you will notice these questions are very specific, and as logically leading as possible. That is part of the point of the method. Not just any question will do, particularly not broad, very open ended questions, like “What is arithmetic?” or “How would you design an arithmetic with only two numbers?” (or if you are trying to teach them about why tall trees do not fall over when the wind blows “what is a tree?”). Students have nothing in particular to focus on when you ask such questions, and few come up with any sort of interesting answer.
For the Socratic method to work as a teaching tool and not just as a magic trick to get kids to give right answers with no real understanding, it is crucial that the important questions in the sequence must be logically leading rather than psychologically leading. There is no magic formula for doing this, but one of the tests for determining whether you have likely done it is to try to see whether leaving out some key steps still allows people to give correct answers to things they are not likely to really understand. Further, in the case of binary numbers, I found that when you used this sequence of questions with impatient or math-phobic adults who didn’t want to have to think but just wanted you to “get to the point”, they could not correctly answer very far into even the above sequence. That leads me to believe that answering most of these questions correctly, requires understandingof the topic rather than picking up some “external” sorts of clues in order to just guess correctly.
Read the full article.