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*Recognizing an isomorphism*in Subject1

DescriptionIn the fifth of five clips, Romina, Brian and Michael, describe patterns and relationships identified in their solution to the Taxicab problem to Arthur Powell, a second researcher. The students...

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Date Created1993-04-05

DescriptionThis video comes from The Private Universe Project in Mathematics and includes interview with researcher, Carolyn Maher, as well as narrative voice-over, interspersed with footage of a task-based...

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DescriptionIn the third of five clips, the four twelfth grade students attempt to justify for themselves and then demonstrate the relationship that they have conjectured between the Taxicab problem and Pascal's...

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DescriptionIn the fourth of five clips, the four twelfth grade students explain their conjecture that Pascal's Triangle can be used to predict the number of paths to any point in the Taxicab grid to Carolyn...

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DescriptionIn the final 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. Researcher Carolyn Maher...

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DescriptionIn the ninth 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. Researcher Carolyn Maher...

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Date Created2000-05-05

DescriptionThis video comes from The Private Universe Project in Mathematics and includes narrative voice-over interspersed with footage of students engaged with problem solving and discussion with researcher,...

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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 Pascalâ€™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 Pascalâ€™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...