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16
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...
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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. ...
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TitleEarly algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 5 of 11: Developing the correspondence between towers 4-cubes tall, selecting from two colors, Pascal's Triangle and the symbolic algebraic expansion of (a+b) to the 4th power
DescriptionIn the fifth clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie responds to questions from researchers Carolyn Maher and Robert Speiser about the correspondence...
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Analytic icon 2 Analytics found
TitleEarly algebra, investigating linear functions, series 7 of 7, Ariel's 8th grade interview, Clip 2 of 5: Ariel solving the Ladder problem
Date Created2007-05-17
DescriptionIn the second of five clips from a follow-up interview about his participation in Informal Mathematics Learning (IML), an after-school enrichment program, Ariel, an 8th grade student in an urban...
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TitleEarly algebra, investigating linear functions, series 7 of 7, Ariel's 8th grade interview, Clip 5 of 5: Ariel describing his 8th grade math class
Date Created2007-05-17
DescriptionIn the last of five clips from a follow-up interview about his participation in Informal Mathematics Learning (IML), an after-school enrichment program, Ariel, an 8th grade student in an urban middle...
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TitleEarly algebra, investigating linear functions, series 7 of 7, Ariel's 8th grade interview, Clip 4 of 5: Ariel solving the Geese problem
Date Created2007-05-17
DescriptionIn the fourth of five clips from a follow-up interview about his participation in Informal Mathematics Learning (IML), an after-school enrichment program, Ariel, an 8th grade student in an urban...
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Analytic icon 1 Analytic found
TitleEarly algebra, investigating linear functions, series 7 of 7, Ariel's 8th grade interview, Clip 3 of 5: Revisiting the 7th grade procedures for Ladders
Date Created2007-05-17
DescriptionIn the third of five clips from a follow-up interview, 8th grade student, Ariel, revisits his reasoning from his 7th grade experience in an after-school enrichment session in an urban middle school....
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Analytic icon 1 Analytic found
TitleEarly algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 4 of 9: Building the first layer of (a+b) cubed.
DescriptionIn the fourth clip in a series of nine from the fourth of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, researcher Carolyn Maher challenges...
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TitleEarly algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 3 of 9: Describing the volume of (a+b) cubed using math manipulatives.
DescriptionIn the third clip in a series of nine from the fourth of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, researcher Carolyn Maher presents...
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TitleEarly algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 6 of 9: Explaining the algebraic and geometric representations of (a+b) squared and the algebraic expansion of (a+b) cubed.
DescriptionIn the sixth clip in a series of nine from the fourth of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, Stephanie explains her algebraic and...