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DescriptionIn this clip from 4th grade classroom study, students discuss the placement of numbers between zero and one on a number line. A debate ensues as to how many numbers exist between zero and one. Andrew...

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview two of seven, Clip 5 of 6: Testing the geometric solution for the square of (a+b)

DescriptionIn the fifth 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...

163

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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...

164

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview two of seven, Clip 6 of 6: The square of (a+b), how to imagine each piece?

DescriptionIn the final clip in a series of six from the second of seven interviews in which 8th grade Stephanie explores Early Algebraic Ideas about Binomial Expansion, Stephanie explains to the researcher,...

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview two of seven, Clip 2 of 6: How could one represent a square geometrically?

DescriptionIn the second clip in a series of six from the second of seven interviews in which 8th grade Stephanie explores Early Algebraic Ideas about Binomial Expansion, Stephanie begins to explore the meaning...

166

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview two of seven, Clip 1 of 6: Is the square of the quantity (a+b) the same as (a squared) + (b squared)?

DescriptionIn the first 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 A. Maher, asks...

167

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Student Work

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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...

168

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Student Work

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TitlePUP Math: Gang of four

Date Created2000

DescriptionThis video is part of The Private Universe Project in Mathematics and includes narrative voice-over and interview with researcher, Carolyn Maher interspersed with footage of a group interview with...

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 10 of 10: Generating the exponents in the expansion of (a + b) to the seventh power.

DescriptionIn the final clip in a series of ten from the fifth of seven interviews, 8th grader Stephanie continues her exploration of Early Algebraic Ideas about Binomial Expansion. Researcher Carolyn Maher...

170

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Student Work

TitleEarly algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 9 of 10: Relating coefficients of the binomial expansion to Pascal's Triangle and to unifix cube towers, selecting from two colors.

DescriptionIn the ninth clip in a series of ten from the fifth of seven interviews, 8th grader Stephanie continues her exploration of Early Algebraic Ideas about Binomial Expansion. Researcher Carolyn Maher...