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*Recursive reasoning*in Subject1

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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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 fourth of five clips from this classroom session, the researcher, Amy Martino, returned to Alan and questioned him about the third model that he had built for finding the difference between one...

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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....

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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 Created2005-11-03

DescriptionIn the fourth of six clips in Series 4 of Exploring Linear Functions, Ariel, a 7th grade students in an after-school enrichment program, is given Guess my Rule problem 5 to consider. He notices...

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Date Created2005-11-03

DescriptionIn the second of six clips in Series 4 of Exploring Linear Functions, Ariel, a 7th grade student in an after-school enrichment program, defends his approach for finding values of Y for problem 4. When...

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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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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...