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Early algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 5 of 11: Developing the correspondence between towers 4-cubes tall, selecting from two colors, Pascal's Triangle and the symbolic algebraic expansion of (a+b) to the 4th power [video]. Retrieved from
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TitleEarly algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 5 of 11: Developing the correspondence between towers 4-cubes tall, selecting from two colors, Pascal's Triangle and the symbolic algebraic expansion of (a+b) to the 4th power
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, , c1996-03-27
DescriptionIn the fifth clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie responds to questions from researchers Carolyn Maher and Robert Speiser about the correspondence between towers 4-cubes tall, selecting from blue and green cubes, and the symbolic binomial expansion of (a+b) to the 4th power. After developing the correspondence for Unifix-cube towers with no blue cubes, exactly one blue cube and exactly three blue cubes, Stephanie refers to her Pascal's Triangle chart to determine the number for choosing exactly two from a set of four and then completes the set. She then rewrites the symbolic expansion to correspond to her five cases of towers and indicates the combinatorics notation for the subset of towers with exactly two of each color.
The problems as proposed to Stephanie are:
What is the expanded expression for (a+b) to the 4th power?
How does the symbolic expansion correspond to the Towers selecting from two colors?
How would combinatorics notation describe the expansion and the Towers?
RightsThe video is protected by copyright. It is available for reviewing and use within the Video Mosaic Collaborative (VMC) portal. Please contact the Robert B. Davis Institute for Learning (RBDIL) for further information about the use of this video.
Date Captured1996-03-27
Local IdentifierB06B07-ALG-BIEX-CLIP005
Related Publication
Type: Related publication
Label: Ed.D. dissertation references the footage that includes Early algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 5 of 11: Developing the correspondence between towers 4-cubes tall, selecting from two colors, Pascal's Triangle and the symbolic algebraic expansion of (a+b) to the 4th power.
Date: 2011
Detail: D
Author: Aboelnaga, Eman Y. (Eman Yousry) (Rutgers, the State University of New Jersey)
Name: A case study: the development of Stephanie's algebraic reasoning
Reference: http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000057485
Source
Title: B06, Early algebra ideas about binomial expansion, Stephanie's interview six of seven (student view), Grade 8, March 27, 1996, raw footage.
Identifier: B06-19960327-KNWH-SV-INT-GR8-ALG-BIEX-RAW
Source
Title: B07, Early algebra ideas about binomial expansion, Stephanie's interview six of seven (work view), Grade 8, March 27, 1996, raw footage.
Identifier: B07-19960327-KNWH-WV-INT-GR8-ALG-BIEX-RAW