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TitleTaxicab problem, clip 1 of 5: the shortest distance between two points.

DescriptionIn the first of five clips, four twelfth grade students develop their initial strategies for approaching the Taxicab Problem. They determine the shortest distances to the three given points: A, B and...

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2 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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2 Analytics found

TitleTaxicab problem, clip 2 of 5: investigating the number of shortest paths.

DescriptionIn the second of five clips, the four twelfth grade students employ various strategies to determine the number of shortest paths to the remaining two points, B and C, on the problem grid. Various...

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1 Analytic found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview one of seven, clip 6 of 9: Testing (x + y)(x + y) = x(x + y) + y(x + y) with numbers.

DescriptionIn the sixth clip in a series of nine from the first of seven interviews focusing on Early Algebraic Ideas about the binomial expansion, researcher Carolyn Maher asks Stephanie to justify her...

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1 Analytic found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 5 of 9: Beginning to make sense of (x + y)(x + y)

Date Created1995-11-08

DescriptionIn the fifth clip in a series of nine from the first of seven interviews focusing on Early Algebraic Ideas about the binomial expansion researcher Carolyn Maher asks Stephanie to multiply (x + y)(x +...

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1 Analytic found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 8 of 9: Building meaning for xy + yx.

DescriptionIn the eighth clip in a series of nine from the first of seven interviews focusing on early algebraic ideas about the binomial expansion, Stephanie explores possible meanings for x*y + y*x (with *...

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 9 of 9: Building a geometric model of (x+y)(x+y)

DescriptionIn the final ninth clip in the series from the first of seven interviews focusing on Early Algebraic Ideas about the binomial expansion, Stephanie is presented with a drawing of a square with sides...

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 6 of 7: Making sense of the Pascal Triangle addition rule with Unifix cube towers .

DescriptionIn the sixth clip in a series of seven from the seventh of seven interviews, 8th grader Stephanie first revisits her investigation of the number of duplicates that would be produced when building...

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3 Analytics found

TitlePizza problems with four and five toppings, clip 2 of 6: Finding an answer

DescriptionIn the second of 6 clips, the four 11th grade students generate an exhaustive list of pizza options choosing from 4 toppings. They recognize that the 16 choices correspond to the fourth row of...

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TitlePizza problems with four and five toppings, Clip 1 of 6: Approaching the problem

DescriptionThis clip is the first of six featuring four grade 11 students, Robert, Stephanie, Shelly, and Amy Lynn, as they construct and justify solutions to the Pizza Problem. This clip focuses on Stephanie...