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171
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Student Work
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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...
172
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Student Work
Analytic icon 1 Analytic found
TitleEarly algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 6 of 10: Connecting the combinatorics notation for tower choices when selecting from two colors to the first 5 rows of Pascal's Triangle.
DescriptionIn the sixth 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 asks...
173
Transcript
Student Work
TitleEarly algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 8 of 10: Rebuilding Pascal's Triangle using n choose r notation.
DescriptionIn the eighth 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. Stephanie is asked by the...
174
Transcript
Student Work
Analytic icon 1 Analytic found
TitleEarly algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 7 of 10:
Continuing investigation of Pascal's Triangle to generate rows 5 and 6 and calculate the totals for each row.
DescriptionIn the seventh 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. Stephanie is asked by the...
175
Transcript
Student Work
Analytic icon 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...
176
Transcript
Student Work
Analytic icon 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...
177
Transcript
Student Work
Analytic icon 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...
178
Transcript
TitleEarly algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 1 of 9: The Distributive property, Distributing a number over variables.
DescriptionIn the first clip in a series of nine from the first of seven interviews in which 8th grade Stephanie explores Early Algebraic Ideas about Binomial Expansion, the researcher, Carolyn A. Maher, asks a...
179
Transcript
Student Work
TitleEarly algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 2 of 9: Distributing a variable over other variables, Does it check out with numbers?
DescriptionIn the second clip in a series of nine from the first of seven interviews focusing on Early Algebraic Ideas about the binomial expansion, researcher, Carolyn A. Maher, asks Stephanie, an 8th grade...
180
Transcript
Student Work
TitleEarly algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 3 of 9: Making general sense of a(x + y) = ax + ay.
DescriptionIn the third clip in a series of nine from the first of seven interviews focusing on Early Algebraic Ideas about the binomial expansion, Stephanie, an 8th grade student, reviews her conclusions about...