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DescriptionThis is the sixth of seven clips from the night session. After Jeff draws Pascal’s Triangle in what the students call “choose” notation, the researcher asks the students to express an instance...
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DescriptionThis is the second of seven clips from the night session. In it, Jeff, Michael, and Romina, along with Ankur (who has just arrived), use the analogy they call “people on a line” to investigate...
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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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Date Created1993-03-01
DescriptionIn this edited video, the first of a set of two clips developed for the Private Universe Project in Mathematics, 12 fifth grade students during two consecutive classroom sessions work in two groups,...
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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 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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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...
