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231
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Student Work
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TitleEarly Algebra Ideas About Binomial Expansion, Stephanie's Interview Six of Seven: Clip 7 of 11: Generating towers 4-cubes tall, selecting from blue and green cubes, from towers with exactly one green cube to towers with exactly two green cubes.
DescriptionIn the seventh 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 consider how the Unifix-cube towers...
232
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Student Work
Analytic icon 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...
233
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Student Work
TitleEarly algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 6 of 7: Making sense of the Pascal Triangle addition rule with Unifix cube towers .
DescriptionIn the sixth clip in a series of seven from the seventh of seven interviews, 8th grader Stephanie first revisits her investigation of the number of duplicates that would be produced when building...
234
Transcript
Student Work
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...
235
TitleEarly algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 7 of 9: Explaining each piece of the geometric model of (a+b) cubed as it relates to the terms in the algebraic expansion.
DescriptionIn the seventh 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 how each piece of...
236
Transcript
Student Work
Analytic icon 1 Analytic found
TitleEarly algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 8 of 9: Issues related to a physical model for (a+b) cubed and the volume of the model for a=1 and b=2.
DescriptionIn the eighth 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 revisits her physical model...
237
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Student Work
TitleEarly algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 9 of 9: Hypothesizing about the algebraic terms in the expansion of (a+b) to the fourth power.
DescriptionIn the final clip in the series of nine from the fourth of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, researcher Carolyn Maher asks...
238
Transcript
Student Work
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...
239
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Student Work
TitleEarly algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 2 of 9: Reviewing the algebraic expansion of (a+b) cubed.
DescriptionIn the second 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 describes to researcher...
240
Transcript
Student Work
Analytic icon 1 Analytic found
TitleEarly algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 1 of 9: Explaining that (a+b) squared = (a squared + 2ab + b squared), algebraically and geometrically
DescriptionIn the first 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 the conclusions that...