Just read this story by Amanda Ripley in The Atlantic:
What Makes A Great Teacher?.
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Teach for America, a nonprofit that recruits college graduates to spend two years teaching in low-income schools, began outside the educational establishment and has largely remained there. For years, it has been whittling away at its own assumptions, testing its hypotheses, and refining its hiring and training. Over time, it has built an unusual laboratory: almost half a million American children are being taught by Teach for America teachers this year, and the organization tracks test-score data, linked to each teacher, for 85 percent to 90 percent of those kids. Almost all of those students are poor and African American or Latino. And Teach for America keeps an unusual amount of data about its 7,300 teachers—a pool almost twice the size of the D.C. system’s teacher corps.
Until now, Teach for America has kept its investigation largely to itself. But for this story, the organization allowed me access to 20 years of experimentation, studded by trial and error. The results are specific and surprising.
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Mr. Taylor follows a very basic lesson plan often referred to by educators as “I do, we do, you do.” He does a problem on the board. Then the whole class does another one the same way. Then all the kids do a problem on their own. During the “we” portion of the lesson, Mr. Taylor calls on students to help solve the problem. But he does this using the “equity sticks”—a can of clothespins, each of which has a student’s name on it. That way, he ensures a random sample. The shy ones don’t get lost.
As the kids move into group work, there is a low buzz in the room. I try, but I can’t find a child who isn’t talking about math. One little boy leans across his desk to help another with a problem. “What do you add to 8 to get 16?” he says, and then he waits. “Eight,” the other boy says. “Then,” says the first, “you subtract that and what do you get?”
The activities come in brisk sequence, following a routine the kids know by heart, so no time is lost in transition. In Teaching as Leadership, Farr describes seeing such choreography in other high-performance classrooms. “We see routines so strong that they run virtually without any involvement from the teacher. In fact, for many highly effective teachers, the measure of a well-executed routine is that it continues in the teacher’s absence.”
This guy probably also teaches the Han/Helene/Cherdano way of comparing fractions:
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Next, Mr. Taylor goes to the board to teach a new way to do long division. It’s a clever method that takes a little longer but is much easier than most other methods, and I’ve never seen it before. “You want to work smart, not hard,” he tells me later. “If you just show them the traditional method, not everyone understands.” He actually learned the method last year—from one of his students.
If you lose all hope, you can always find it again -- Richard Ford in The Sportswriter