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DescriptionIn the fourth of five clips from a single class session, we see two students, Jessica and Andrew, placing unit fractions, ranging from 1/10 to 1/2, on a number line segment with endpoints labelled 0...
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DescriptionIn the fourth of six clips, the four students develop the structural isomorphism between adding an additional pizza topping choice and the addition rule for successive rows of Pascal’s Triangle and...
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Date Created2014-04-27
DescriptionIn this task-based interview Brandon, a 10-year-old 4th grade boy, shares his ideas with the researcher, Amy Martino, about two problems that he had solved in earlier class sessions. In the first...
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Date Created1996-03-13
DescriptionIn the fifth clip in a series of ten from the fifth of seven interviews, 8th grader Stephanie continues her exploration of Early Algebraic Ideas about Binomial Expansion. Referring to the...
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TitleTowers with Stephanie and Dana, Clip 3 of 5: Checking for duplicates and discovering “cousin” towers
Date Created1990-10-11
DescriptionIn this clip, researcher Alice Alston asks Stephanie and Dana how many towers they have created. The two girls had been working on the Towers Problem introduced in the first clip in this series. After...
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Date Created1990-10-11
DescriptionIn this clip, Stephanie and Dana continue to work on the Towers Problem, introduced in the first clip in this series. Stephanie tells another group of children to double-check their towers for...
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Date Created1990-10-11
DescriptionIn this clip, Stephanie and Dana work on recording their solution to the Towers Problem, introduced in the first clip in this series. As Dana finishes her recording her towers solution individually,...
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Date Created1990-10-11
DescriptionHaving worked in the previous two clips of this series to create towers three cubes high selecting from two colors, researcher Alice Alston facilitates a group discussion about the students’...
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Date Created1990-10-11
DescriptionAfter a discussion in clip four of this series about how many towers can be built three cubes high when selecting from two colors, researcher Alice Alston asks the students to create towers three...
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Date Created2002-03-11
DescriptionResearchers Carolyn Maher and John Francisco conduct a group interview with Romina and Jeff as second-year college students who have been participants in a long-term study on development of...
