Polya's Ten Commandments for Mathematics teachers

  1. Know your subject.
  2. Be interested in your subject.
  3. Know about the ways of learning: the best way to learn anything is to discover it by yourself.
  4. Try to read the faces of your students, try to see their expectations and difficulties, put yourself in their place.
  5. Give them not only information, but "know-how," attitudes of mind, the habit of methodical work.
  6. Let them learn guessing.
  7. Let them learn proving.
  8. Look out for such features of the problem at hand as may be useful in solving the problems to come -- try to disclose the general pattern that lies behind the present concrete situation.
  9. Do not give away your whole secret at once -- let the students guess before you tell it -- let them find out for themselves as much as is feasible.
  10. Suggest it; do not force it down their throats.

This was taken from the late Steve Sigur's homepage at the Paideia School in Atlanta, GA. Steve was an inspiring high school geometry teacher who was working on a book with John Horton Conway entitled The Triangle Book. He passed away in 2008.

You can get a taste of his interest in geometry by reading his online pages here. They're chock full of good geometry.

Log in or register to write something here or to contact authors.