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DescriptionIn the final clip the students generalize the exponential structure of the Pizza Problem and describe the relationship between two consecutive rows of Pascal’s Triangle with reference both to the...
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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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DescriptionIn the last of five clips from a single class session, the researcher reviews with the students how to place whole numbers on a number line. The students are then asked to decide about the placement...
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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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Date Created2000
DescriptionThis video comes from the Rutgers-Kenilworth Study, and edited for the The Private Universe Project in Mathematics (PUP-Math). It includes narrative voice over and an interview with Researcher, Robert...
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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 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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Date Created2014-04-27
DescriptionIn this problem solving session two students, Brandon and Colin, are working to solve the pizza problem when selecting from four toppings [problem statement is below]. Brandon and Colin both organize...
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TitleTowers Group Sharing, Clip 3 of 6: Guessing how many towers can be built three cubes high, continued
Date Created1990-10-11
DescriptionIn this clip, researcher Alice Alston continues a discussion started in the previous clip in this series. The discussion centers on how many towers can be built three cubes high when selecting from...
