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DescriptionIn this clip from 4th grade classroom study, students discuss the placement of numbers between zero and one on a number line. A debate ensues as to how many numbers exist between zero and one. Andrew...
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DescriptionIn this clip, the first of five clips from a single class session, the researcher asks the students to review how they were able to show that 1/4 is larger than 1/9 by 5/36. The students had worked...
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Date Created1993
DescriptionDuring this small group activity, the students revisited the task: Which is larger, 1/2 or 1/3, and by how much? Some of the students attempted to solve the task using balance beams, but most reverted...
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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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DescriptionIn the fourth clip from this classroom session, researcher Carolyn Maher led a whole class discussion. She told the class that she gave each of the two adults who were in the room half a chocolate bar...
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DescriptionIn the fifth and final clip from this session, researcher Carolyn Maher asked Jessica to re-explain her original model. Jessica restated her argument, saying that the model showed that one half was...
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DescriptionIn this clip at the start of the session, researcher Carolyn Maher placed an overhead on the projector and asked the students to read the problem that was written. She then asked what they remembered...
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DescriptionIn the second clip of this classroom session, researcher Carolyn Maher reminded the students about the “Candy Bar” problem that they had discussed in an earlier session. She showed the students a...
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DescriptionIn clip 5, researcher Carolyn Maher then asked the students to compare one half and one quarter and determine the difference between the two. The students worked in their groups to build models that...
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DescriptionResearcher Carolyn Maher then asked the students to share their solutions as a class and Graham and Michael responded. Graham said the orange and the red would be called one and the dark greens would...