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**Early algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 1 of 7: Stephanie revisits generating Unifix-cube towers 4-tall from exactly one to exactly two red cubes. [video]** Retrieved from

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 1 of 7: Stephanie revisits generating Unifix-cube towers 4-tall from exactly one to exactly two red cubes.

PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, , c1996-04-17

DescriptionIn the first clip in a series of seven from the seventh of seven interviews, 8th grader Stephanie revisits her earlier exploration of how to generate Unifix-cube towers across cases with researchers Carolyn Maher and Donna Weir. Selecting from red and yellow cubes, Stephanie builds the four towers with exactly one red cube and explains that from each of the four, holding the single red cube constant, she can build three new towers with exactly two red cubes. After building the three towers corresponding to the original four, she points out that the twelve resulting towers include duplicates. She identifies pairs of towers that are the same and shows the researchers that there are actually six unique towers with exactly two red and two yellow cubes. In response to a question from researcher Maher, Stephanie indicates that the mathematical expression describing what she has built would be the quantity 4 times 3, referring to the 3 towers generated from each of the 4 originals, divided by 2 to account for the duplicates.

The problems posed to Stephanie are:

Explain how you generated the towers across cases (from four-cube towers with exactly one red to four-cube towers with exactly 2 red cubes).

How would you describe what you did using numbers?

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 Captured1996-04-17

Local IdentifierB08B09-ALG-BIEX-CLIP001

Related Publication

__Type__: Related publication

__Label__: Ed.D. dissertation references the video footage that includes Early Algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 1 of 7: Stephanie revisits generating Unifix-cube towers 4-tall from exactly one to exactly two red cubes.

__Date__: 2011

__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__: B08, Early algebra ideas about binomial expansion, Stephanie's interview seven of seven (student view), Grade 8, April 17, 1996, raw footage.

__Identifier__: B08-19960417-KNWH-SV-INT-GR8-ALG-BIEX-RAW

Source

__Title__: B09, Early algebra ideas about binomial expansion, Stephanie's interview seven of seven (work view), Grade 8, April 17, 1996, raw footage.

__Identifier__: B09-19960417-KNWH-WV-INT-GR8-ALG-BIEX-RAW