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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 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 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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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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Date Created1997-12-12
Description“You could either have topping or no topping.” Students realized that the general tower problem and the general pizza problem have the same answer: 2^n.
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Date Created1997-12-12
Description“Topping. Or no topping.” The students recognized the isomorphic relationship between the tower problem and the pizza problem.
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Date Created1997-12-12
Description“Everything we ever do always is like the tower problem.” Students worked on the 5-topping pizza problem. Mike introduced binary notation as a way to list the answers to the pizza problem. ...
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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 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...
