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*Recursive reasoning*1

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 fourth of eight clips in Series One of Exploring Linear Functions, James, working with researcher Evelyn Hanna, recognizes patterns and finds specific solutions for Guess My Rule problem 3....

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DescriptionResearcher Amy Martino posed two related tasks to the students. In this clip, the students work on designing a rod that can be called one half when the blue rod is called one. Erik and Alan discuss...

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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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Date Created2005-11-03

DescriptionIn the first of six clips in Series 4 of Exploring Linear Functions, Ariel and James, 7th grade students in an after-school enrichment program, are asked to find a "rule" for the Truth Table for Guess...

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DescriptionIn the final clip in a series of seven from the seventh of seven interviews, 8th grader Stephanie responds to questions from researcher Carolyn Maher about problems that she and her classmates had...

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DescriptionIn the fourth clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie remembers that she had figured out the expanded algebraic expressions for (a+b) for powers up to 6. ...

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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...