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TitleDiscovering equivalent fractions and introducing fraction notation, Clip 1 of 5: Boats and fish, a conversation about building models

DescriptionIn the first clip, researcher Carolyn Maher began the session with a discussion about a model that Mark had made for another class. The model was comprised of a boat, a fish, and two children. The...

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TitleContinuing to explore fraction comparisons, Clip 1 of 7: Gregory and Danielle compare two thirds and one half

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...

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TitleBuilding large models to show equivalence, an exploration, Clip 2 of 4: A doubling conjecture

DescriptionIn the second clip, David and Meredith worked on building models to represent their solution to the problem: Which is larger, two thirds or three quarters, and by how much. David first built two...

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TitleBuilding large models to show equivalence, an exploration, Clip 4 of 4: Testing the doubling conjecture

DescriptionIn the fourth clip Erik repeated the explanation of his model to the classroom teacher. His model consisted of a train of three orange and one dark green rod and lined up four blue rods. He lined up...

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5 Analytics found

TitleComparing fractions, a whole class debate, Clip 4 of 5: An argument based on a different model

DescriptionIn the fourth clip from this session, Jessica reported that Jackie and Kelly’s argument was different than their original argument in which they had showed the difference between one half and one...

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2 Analytics found

TitleFraction as number, an introduction, Clip 7 of 8: Erik and Alan pose problems as partners

DescriptionIn clip seven, researcher Carolyn Maher told the students to use the remaining class time to challenge their partners with problems using the rods. Erik asked Alan, “If a light green was one third,...

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1 Analytic found

TitleFraction as number, an introduction, Clip 5 of 8: What is the unit?

DescriptionIn the fifth of eight clips from this session, researcher Carolyn Maher asked the class to give a number name for the red rod if the brown rod was called one. Danielle explained that it would be...

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TitleFraction as number, an introduction, Clip 8 of 8: Emphasizing precise language in problem posing

DescriptionDuring the eighth and final clip from this session, Meredith and Sarah are working together to make up problems for one another to solve with the rods. Meredith asks Sarah "If you called one...

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2 Analytics found

TitleComparing fractions and evaluating models that represent solutions, Clip 2 of 8: Comparing one half and one third, Jessica and Erik

DescriptionIn the second clip from this session, researcher Carolyn Maher asked the students if they felt confident to justify their solution to the problem: Which is larger, one half or one third, and by how...

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1 Analytic found

TitleReviewing rod relationships and the candy bar problem, Clip 2 of 6: What is the number name for red when the yellow and light green rod is two? Brian and Jacquelyn

DescriptionIn the second clip from this classroom session, researcher Carolyn Maher posed a challenge. She asked the students to name the red rod if a train of yellow and light green was called two. The...