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 solfing the problems to come -- try to discose the general
pattern that lies beind 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 feasable.
10. Suggest it; do not force it down their throuts. |