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4 Analytics found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview two of seven, Clip 4 of 6: Finding the area of the square with side (a+b).

DescriptionIn the fourth clip in a series of six from the second of seven interviews in which 8th grade Stephanie explores Early Algebraic Ideas about Binomial Expansion, the researcher, Carolyn Maher asks...

18

4 Analytics found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview two of seven, Clip 3 of 6: Representing a square with side of length (a+b)

DescriptionIn the third clip in a series of six from the second of seven interviews in which 8th grade Stephanie explores Early Algebraic Ideas about Binomial Expansion, the researcher, Carolyn Maher asks...

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TitleEarly algebra, investigating linear functions, series 7 of 7, Ariel's 8th grade interview, Clip 1 of 5: Ariel reflecting about his IML experience

Date Created2007-05-17

DescriptionIn the first of five clips from a follow-up interview Ariel, an 8th grade student in an urban middle school, is asked to describe what he remembers about his participation in the after-school...

20

1 Analytic found

TitleEarly algebra, investigating linear functions, series 6 of 7, Museum problem, Clip 2 of 6: Beginning to build a general rule

Date Created2005-12-15

DescriptionIn the second 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....

21

1 Analytic found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview three of seven, Clip 7 of 7: Testing the algebraic expansion of (a+b) cubed with numbers and beginning to imagine a physical model

DescriptionIn the final seventh clip from the third of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, Stephanie checks her completed symbolic expansion...

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview three of seven, Clip 3 of 7: Modeling the square of (a+b) for the case of a=3 and b=7.

DescriptionIn the third clip in a series of seven from the third of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, the researcher, Carolyn Maher, asks...

23

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...

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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...

26

1 Analytic found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 1 of 11: Stephanie revisits combinatorics notation for building towers

DescriptionIn the first clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie revisits her earlier exploration of particular algebraic ideas about binomial expansion with...