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 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 the last of five clips from a single class session, the researcher reviews with the students how to place whole numbers on a number line. The students are then asked to decide about the placement...
DescriptionIn this clip, the first of five clips from a single class session, the researcher asks the students to review how they were able to show that 1/4 is larger than 1/9 by 5/36. The students had worked...
DescriptionIn this second of five clips from a single class session, the students consider how 3 candy bars could have been equally distributed among their class of 25. The students had worked on this problem...
DescriptionIn the fourth of five clips from a single class session, we see two students, Jessica and Andrew, placing unit fractions, ranging from 1/10 to 1/2, on a number line segment with endpoints labelled 0...
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...
DescriptionThis second clip in a set of two edited videos developed for the Private Universe Project in Mathematics, focuses on 12 fifth grade students during an extended session work individually and with their...
DescriptionThis video comes from The Private Universe Project in Mathematics and includes excerpts from interviews as well as narrative voice-over, interspersed with footage of students engaged with problem...
DescriptionIn this edited video, the first of a set of two clips developed for the Private Universe Project in Mathematics, 12 fifth grade students during two consecutive classroom sessions work in two groups,...