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*Proportional reasoning*1

Date Created1993

DescriptionThe students work on the task: If the orange rod is called fifty, what number name would I give the white rod? Sarah and Beth offer an answer immediately, and are questioned by researcher Amy Martino...

2

Date Created1993

DescriptionResearcher Amy Martino asked the students to assign a number name to the white rod when the orange rod was called ten. After discussing the problem with their partners, the students joined in a whole...

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DescriptionResearcher Amy Martino posed two related tasks to the students that highlighted the difference between additive and multiplicative reasoning. First, she asked the students: If we call the orange...

4

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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DescriptionThis is the sixth of seven clips from the night session. After Jeff draws Pascal’s Triangle in what the students call “choose” notation, the researcher asks the students to express an instance...

6

Date Created2014-03-15

DescriptionAt an after-school session in the middle of their junior year, Ankur, Brian, Jeff, Michael, and Romina were introduced to the World Series problem [the problem statement is below]. The students...

7

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...

9

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...

10

Date Created2005-12-15

DescriptionIn the third of six clips from an after-school enrichment session in an urban middle school, Ariel, a 7th grade boy completing a unit about linear functions, continues his work on the Museum problem. ...