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141

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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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Student Work

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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...

143

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Student Work

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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,...

144

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Student Work

5 Analytics found

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...

145

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Student Work

5 Analytics found

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...

146

Transcript

Student Work

1 Analytic found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 4 of 10: Investigating the "doubling pattern" for unifix towers of increasing heights.

DescriptionIn the fourth 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. Using combinatorics...

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Student Work

1 Analytic found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 3 of 10: Unifix cube towers 4 tall, selecting from two colors, as a model for selecting three, four or zero objects from a group of four.

DescriptionIn the third 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. She is revisiting the...

148

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Student Work

1 Analytic found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 1 of 10: Combinatorics notation for selecting a particular number of items from a total of 4.

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

149

Transcript

Student Work

1 Analytic found

TitleEarly algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 2 of 10: Unifix cube towers 4 tall, selecting from two colors, as a model for selecting two objects from a group of four.

DescriptionIn the second 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. She is revisiting the...

150

Transcript

Student Work

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...