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161

TitleEarly algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 8 of 11: Working backwards from towers 4-cubes tall selecting from blue and green cubes, with exactly two green cubes, to towers with exactly one green cube

DescriptionIn the eighth clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie is asked by researchers Carolyn Maher and Robert Speiser to revisit her set of six Unifix cube towers...

162

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Student Work

TitleEarly algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 11 of 11:
Extending ideas about generating towers 4-cubes tall selecting from green and blue cubes to towers 5-cubes tall with exactly 1 green cube and connecting to Fermat and Pascal

DescriptionIn the final clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie is challenged by researchers Carolyn Maher and Robert Speiser to extend her ideas about how to build...

163

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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...

164

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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...

165

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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...

166

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...

167

Transcript

Student Work

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...

168

Transcript

Student Work

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...

169

Transcript

2 Analytics found

TitleAlan's Infinity

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...

170

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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...