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1
Analytic icon 1 Analytic found
TitleNight session, Pascal's identity, clip 2 of 7: making sense of factorial notation and "why you multiply"
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...
2
Analytic icon 1 Analytic found
TitleEarly algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 3 of 11: Comparing towers, selecting from two colors, built inductively and corresponding to the addition rule of Pascal's Triangle
DescriptionIn the third clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie continues a discussion of ideas about binomial expansion with researchers Carolyn Maher and Robert...
3
TitleEarly algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 7 of 7: Finding a general direct "rule" for the number of Unifix-cube towers, selecting from two colors, for any height.
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...
4
TitleEarly algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 2 of 11: Stephanie rebuilds Unifix towers 1-cube, 2-cubes, 3-cubes and 4-cubes tall, selecting from two colors
DescriptionIn the second clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie continues her exploration of early algebraic ideas about binomial expansion with researchers Carolyn...
5
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. ...
6
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...
7
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...
8
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....
9
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...
10
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...