Barry Garelick’s Out on Good Behavior: Teaching Math While Looking Over Your Shoulder (Katharine reviewed it here) is a terrific book: funny, affecting, and real. One of my favorite passages, from the Introduction and Dedication:
I want to share some advice I received from Ellen, one of my two “parole officers” whom you will meet in this book….
“Students have more faith in something they think they came up with than something the teacher tells them.”
…Some teachers have told me that they are not allowed to answer a student’s question directly. In fact, the quote from Ellen was her response to my question of why it’s acceptable for students to show other students how to do a problem, but it’s not acceptable if a teacher does so….
From time to time, however, most, if not all, teachers will answer a student’s question by telling them what they need to know in order to solve a problem. And most, if not all, teachers (myself included) feel guilty doing this, because we are taught that that’s giving away the answer and we are handing it to the student, or to put it in more educational terminology: “teaching by telling.”
The Hundred Years’ War.