DescriptionAfter the students have worked on the Towers Problem in the Towers series, researcher Alice Alston facilitates a group sharing session. She begins by asking how many towers the students have found and...
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...
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...
DescriptionIn this fifth of six clips, four 11th grade students reconsider Pascal's Triangle as it relates to the Pizza Problem and connect this problem with the Towers Problem. As the students summarize their...
DescriptionThe third of 6 clips focuses on the four 11th grade students as they map the numbers of pizza choices to the rows of Pascal’s Triangle and attempt to make sense of the addition rule with the...
DescriptionIn clip 4 of 5, fifth grade student Matt shares his understanding of Milin’s inductive argument with Robert and Michelle R. who, up to this point, found twelve, four-tall towers. Stephanie...
DescriptionIn the fourth of nine clips in a first grade classroom, four children: Stephanie, Gerardo, Sean and Aaron, are working first on Problem 5 and then on Problem 6 of a set of six word problems involving...
DescriptionIn the sixth of nine clips in a first grade classroom, four children: Stephanie, Gerardo, Sean and Aaron, revisit and reconsider their solution to Problem 5 of a set of 6 word problems involving...
DescriptionIn the seventh of nine clips in a first grade classroom, four children: Stephanie, Gerardo, Sean and Aaron, revisit and reconsider their solution to the final problem of a set of six word problems...
DescriptionIn the fifth of nine clips in a first grade classroom, four children: Stephanie, Gerardo, Sean and Aaron, revisit their solutions to the first four problems of a set of six word problems involving...