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 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 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 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...
DescriptionThis was the second session that 6th grade students from the Plainfield, NJ district explored probability through dice games in an after-school enrichment program. In this video (part 1 of 2, 44a) the...
DescriptionThis video is a continuation of the second session that 6th grade students from the Plainfield, NJ district explored probability through dice games in an after-school enrichment program. In this video...
DescriptionThis was the first session that 6th grade students from the Plainfield, NJ district explored probability through dice games in an after-school enrichment program. In this video (video 42b, part 1 of...