When I observe effective teachers of mathematics, there is one characteristic that they all have in common. It is the

I am sitting at the back of the class, unnoticed.

You instruct us at the front of the class, unnoticed.

Students often hold misconceptions about effective thinkers. They may believe that these people never struggle; that they never second-guess their

As teachers we continually strive to explain to our students how they will use the mathematics they are learning in

Recently I was in Nashville, presenting at the NCTM conference,