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DescriptionIn the second of eight clips from this session, researcher Carolyn Maher said, “Someone told me that the red rod is half as long as the yellow rod. What do you think?" Danielle responded that the...
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TitleBuilding large models to show equivalence, a generalization, Clip 1 of 3: Finding the smallest model
DescriptionAt the start of the session, researcher Carolyn Maher asked the students if they remember working on comparing two thirds and three quarters. She mentioned that she had seen students build more than...
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DescriptionIn clip 4, researcher Carolyn Maher asked the class to determine the number name for the white rod in the first model that had been built, in which the orange and red train was called one. James,...
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DescriptionIn the fifth clip from this classroom session, researcher Carolyn Maher asked the class to compare one half and one third and determine which is larger and by how much. The class worked on this...
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DescriptionIn the fourth clip researcher Carolyn Maher asked the students to each come up and take a turn placing some fractions on the number line. She called on Gregory to come up first. He placed a one half...
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DescriptionIn the third clip researcher Carolyn Maher asked David to share the theory that he had formulated with the class. David, with some assistance from Erik, said that Meredith had originally built a model...
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DescriptionIn the sixth of eight clips from this session, researcher Carolyn Maher asked the students to work with their partners to come up with questions to challenge the class. Alan was first to present his...
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DescriptionResearcher Amy Martino posed two related tasks to the students that highlighted the difference between additive and multiplicative reasoning. First, she asked the students: If we call the orange...
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Date Created1993
DescriptionIn this clip, researcher Amy Martino leads a class discussion that centers on the task: If I call the orange rod one, what number name would I give two whites? Some students suggest the number name...
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DescriptionAmy Martino leads a whole class discussion during which they talk about ways of writing number sentences for two problems: 1) How many one sixths are in one? and 2) How many one twelfths are in one?...
