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3 Analytics found

TitleTaxicab problem, clip 5 of 5: extending the taxicab correspondence to pizza with toppings and binary notation

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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1 Analytic found

TitlePUP Math Brandon interview

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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TitlePUP Math Night session

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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5 Analytics found

TitleTaxicab Problem, Clip 4 of 5: Explaining the Taxicab and Towers Isomorphism

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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4 Analytics found

TitleTaxicab problem, clip 3 of 5: It's Pascal's triangle! But Why?

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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TitleEarly algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 10 of 10: Generating the exponents in the expansion of (a + b) to the seventh power.

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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TitleEarly algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 9 of 10: Relating coefficients of the binomial expansion to Pascal's Triangle and to unifix cube towers, selecting from two colors.

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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2 Analytics found

TitlePizza problems with four and five toppings, clip 4 of 6: Justifying the isomorphism

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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2 Analytics found

TitlePizza problems with four and five toppings, clip 6 of 6: Connecting pizzas and towers

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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2 Analytics found

TitleB43, Interview with Brandon about the Towers and Pizza problem (student view), Grade 4, April 5, 1993, raw footage

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...