DescriptionIn the third of nine clips in a first grade classroom, four children: Stephanie, Gerardo, Sean and Aaron, are working first on Problem 3 and then on Problem 4 of a set of 6 word problems involving...
DescriptionIn the second of nine clips in a first grade classroom, four children: Stephanie, Gerardo, Sean and Aaron, focus on the 2nd problem in a set of 6. After Stephanie reads the problem, the children use...
DescriptionThis video is part of The Private Universe Project in Mathematics and includes narrative voice-over and interview with researcher, Carolyn Maher interspersed with footage of a group interview with...
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 clip three of five, Milin, a fifth grade student, shares his inductive argument for building towers up to 3 cubes tall with researcher Carolyn Maher and his partner, Michelle I. Michelle in turn...
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 this clip, Stephanie and Dana continue to work on the Towers Problem, introduced in the first clip in this series. Stephanie tells another group of children to double-check their towers for...