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TitleB45, The fundamental theorem of calculus, Session 1 of 2: Discussing the meaning of the theorem (student view), College, June 25, 2003, raw footage
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...
TitleB47, The fundamental theorem of calculus, Session 2 of 2: Discussing why the antiderivative can be used to calculate the area under a graph (student view), College, July 24, 2003, raw footage
DescriptionThis video presents one view of the second and last session in which seven post-high school students discuss the Fundamental Theorem of Calculus. This session took place approximately one month after...
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...
TitleNight session, Pascal's identity, clip 2 of 7: making sense of factorial notation and "why you multiply"
DescriptionThis is the second of seven clips from the night session. In it, Jeff, Michael, and Romina, along with Ankur (who has just arrived), use the analogy they call “people on a line” to investigate...
TitleNight session, Pascal's identity, clip 1 of 7: thinking about the meaning of combinatorics notation
DescriptionThis is the first of seven clips from the night session. In it, Jeff, Michael, and Romina discuss the coefficients of the binomial expansion, specifically (a+b) to the 10th power. In attempting to...
DescriptionIn this full-session, raw footage video, students have come to school in the evening for a night session. The group, made up of Jeff, Michael and Romina begin discussing the coefficients of the...