DescriptionThis video presents one camera view from a post-high school session conducted with seven students who participated in the Rutgers longitudinal study. The session, the first of two in which the...
DescriptionA week after the first time they worked with the World Series problem, Ankur, Jeff, Michael, and Romina met a second time to work on the World Series problem. Brian was not available for this session....
DescriptionThis interview with researcher Alston and Milin, with the presence of teacher Mrs. Barnes, occurred on February 7, 1992, the following day of the classroom work with Michael on the five-tall Tower...
DescriptionThis is a raw footage video. On February 26, 1993 fifth graders, Stephanie, Michelle, Milin and their classmates, worked on the Guess My Tower task in a class session, about a year after the “Gang...
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 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...
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...
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...
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...
DescriptionIn the first of three clips from a single class session, the researcher asks the 4th grade students to explain the mathematical task of the previous day when each of the three small groups within the...