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11
Analytic icon 1 Analytic found
TitleEarly algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 4 of 11: Developing the correspondence among towers, selecting from two colors, Pascal's Triangle, and the symbolic algebraic expansions of (a+b) squared and (a+b) cubed
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. ...
12
TitleEarly algebra, investigating linear functions, series 4 of 7, Guess My Rule problems 4 & 5, Clip 4 of 6: Beginning work on Guess My Rule problem 5
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...
13
TitleEarly algebra, investigating linear functions, series 4 of 7, Guess My Rule problems 4 & 5, Clip 2 of 6: Finding the Y-value for twenty for problem 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...
14
Analytic icon 1 Analytic found
TitleEarly algebra, investigating linear functions, series 2 of 7, working on Guess My Rule problems 1-3, Clip 1 of 5: Yonny and Brandon with problem 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...
15
Analytic icon 1 Analytic found
TitleEarly algebra, investigating linear functions, series 2 of 7, working on Guess My Rule problems 1-3, Clip 2 of 5: Yonny and Brandon with problem 2
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...
16
TitleEarly algebra, investigating linear functions, series 2 of 7, working on Guess My Rule problems 1-3, Clip 3 of 5: Yonny and Brandon working on problem 3
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....
17
Analytic icon 1 Analytic found
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...
18
Analytic icon 1 Analytic found
TitleNight session, Pascal's identity, clip 4 of 7: An example of Pascal's identity
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...
19
Analytic icon 3 Analytics found
TitlePizza problems with four and five toppings, clip 2 of 6: Finding an answer
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...
20
Analytic icon 2 Analytics found
TitlePizza problems with four and five toppings, clip 3 of 6: Why does it work?
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...