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DescriptionMeredith works with her partner, Michael, as they attempt to write a number sentence that describes how many one sixths are in one. After some discussion with Michael and Amy Martino about the correct...

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DescriptionIn this short clip, James explains to Robert B. Davis his solution to the problem: Which is larger, one fourth or one ninth, and by how much? After some questioning, he explains that the train (i.e.,...

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DescriptionAmy Martino introduced division of fractions by asking students to describe how many white rods equal an orange and red train. She then asked the students to name the white rod if the orange and red...

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DescriptionIn the second clip, researcher Carolyn Maher asked the students to build a model to show which is bigger, two thirds or one half, and by how much. The students worked with their partners to solve the...

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DescriptionIn the second clip, Kimberly and Audra worked together on the task: Which is larger one half or three fourths. Kimberly built a model using an orange and red train, two dark green rods, and four light...

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DescriptionIn the fifth clip Michael and Brian extended their model using the orange and red train to show thirds and twelfths in addition to fourths. They showed that the difference between two thirds and three...

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DescriptionIn the fourth clip, researcher Alice Alston worked with Gregory and Danielle on the task: Which is larger two thirds or one half and by how much? Danielle built two models, one using the dark green...

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DescriptionIn the third clip, Alan and Erik worked together on the task: Which is larger two thirds or one half and by how much? Alan first built a model using the dark green rod as one, and the two concluded...

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DescriptionIn the third clip, researcher Amy Martino then worked with Mark and Laura. Mark justified his solution using each model he built. The researcher asked Mark if he thought that a different model might...

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DescriptionIn the first clip a visitor worked with Danielle and Gregory on the second task of comparing two third and one half. Danielle showed her using the twelve-centimeter long model, that three fourths was...