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TitleEarly algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 5 of 10: Recognizing the symmetry for the two colors across the cases when building unifix towers four-cubes tall
Date Created1996-03-13
DescriptionIn the fifth 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. Referring to the...
8
Transcript1
Analytic icon 4 Analytics found
TitleB64, Stephanie third of three interview sessions when she used a case-based method for all heights below and including four-tall Towers problems (work view), Grade 4, March 6, 1992, raw footage
Date Created1992-03-06
DescriptionThis one-on-one interview between Researcher Carolyn Maher and Stephanie was an 85-minute discussion that occurred in the 4th grade about two weeks after Stephanie’s second interview with researcher...
9
Transcript
Analytic icon 2 Analytics found
TitleRomina interview reflections (11th grade): Everything has Romina's definition
Date Created1999-05-18
DescriptionThis video comes from an interview conducted by researcher Carolyn Maher with Romina as an 11th grader and participant of a long-term study on development of mathematical thinking and reasoning in...
10
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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...
11
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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...
12
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Student Work
Analytic icon 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...
13
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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...
14
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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...
15
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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...
16
Transcript
Student Work
Analytic icon 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...