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I think it's particularly important for teachers to know they cannot give girls the gift

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of confidence by telling them how smart or talented they are.

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They have to teach them how to engage in a process that will allow them to address challenges,

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to remain resilient in the face of obstacles and to acquire math skills.

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I'm afraid that, by teachers' earnest desires to give girls confidence,

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they have been praising them for their abilities too much.

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And more and more research is showing, you must praise the process.

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Here are some ways to do it.

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You say, suppose a girl worked hard and didn't do well, you say,

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"Let's look a the strategies you used.

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Let's look at the ways that you've studied.

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Let's look at your mistakes.

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We can learn a lot from those things."

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So it's like, "Let's work together on the process and together we can build your math skills."

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What if a girl got an "A" on something and didn't work hard?

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"Well, I'm sorry I cheated you with that task.

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It was too easy for you.

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Let's work on something hard that you can learn from."

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Because too often, a girl will think-or anyone will think,

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"Oh an easy 'A', that really means ability."

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But what you really want them to think is hard work and learning, that's what ability is about.

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Praising effort, praising concentration, praising strategies.

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But I also think you need to get students used to being critiqued

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and taking feedback as something helpful.

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Early on in my research one little student said, "Mistakes are our friend."

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And I think that students have to really learn that and take it to heart.

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Mistakes are our friend.

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Struggle is good.

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A teacher can say, "Who had a great struggle today?

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Who wants to share their struggle?"

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And be really proud of that student for struggling.

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"Who has a fabulous mistake that we can all learn from?

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That's a great mistake."

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So it puts the premium on struggling, confronting difficulty,

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learning and not on being effortlessly smart.

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Often a girl will say, "I'm not good at math or I'm not good a geometry.

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I'll never be good at that."

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And the teacher needs to say, "Nobody is born with geometry.

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We build up the connections in our brain.

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We build up the knowledge of geometry by practicing and especially practicing things

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that don't come to us right away."

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Students often underestimate the trouble other students are having.

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So teachers need to say, "A lot of students get confused at the beginning of geometry.

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They haven't built their geometry brain connections yet.

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That's normal.

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If we all take on the challenge, work hard, learn from our mistakes,

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we'll all be good at geometry by the end of the year."

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It's very important to focus students on what they've done right,

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the steps that they've taken that have worked,

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and-in very matter of fact ways-the steps they have taken that haven't worked.

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and that they need to try another strategy for, or learn another strategy for.

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But teachers and coaches, too, now come to me and say, "Where are the teachable students?

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Where are the teachable athletes?"

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So many of them now think if you give them corrective feedback

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that you think they're not competent and they take it as a blow to their self esteem.

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So we need to train students to focus on the process

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and to want corrective feedback as a tool to learning.

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Some teachers think, "Oh, it's too hard to give step by step feedback

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on what a student has done right or wrong."

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But that's what teaching is.

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It's not teaching to say, "That was great.

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You're smart."

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Even when it's sincere, it's not helpful information for a student.

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It hasn't told them how they got to their good result

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or what to do when they're struggling in the future.

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Does it mean suddenly they're not smart?

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Students must know that a step-by-step process leads to an outcome

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and that the process can go wrong.

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And they need to learn how to make that process right again.

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So whether the teacher can fit it into the 45 minute lesson or whether the teacher has to give

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that feedback for homework assignments, it doesn't matter.

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That is how teaching and learning take place.