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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...

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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...

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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...

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DescriptionIn the sixth clip in a series of seven from the seventh of seven interviews, 8th grader Stephanie first revisits her investigation of the number of duplicates that would be produced when building...

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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...

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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...

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Date Created2005-11-02

DescriptionIn the first of five clips in Series Two of Exploring Linear Functions: Guess My Rule, Yonny and Brandon, 7th grade students in an after-school enrichment program, are challenged by researcher Arthur...

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Date Created2005-11-02

DescriptionIn the second of five clips in Series Two of Exploring Linear Functions, researcher Arthur Powell challenges 7th graders,Yonny and Brandon, 7th to find a rule for Guess My Rule problem 2. Noticing the...

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Date Created2005-11-02

DescriptionIn the third of five clips in Series Two of Exploring Linear Functions, researcher Arthur Powell asks 7th graders,Yonny and Brandon, to continue their Guess My Rule exploration with problem 3....