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...
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...
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...
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...
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 +...
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 *...
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...
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...
DescriptionIn the fifth of six clips from an after-school enrichment session in an urban middle school, James, a 7th grade boy completing a unit about linear functions, has finished his written solution for the...
DescriptionIn the fourth of six clips from an after-school enrichment session in an urban middle school, James, a 7th grade boy completing a unit about linear functions, continues his work on the Museum problem....