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**Early algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 4 of 7: Investigating numerical and algebraic representations for each case for the number of Unifix-cube towers 4-tall selecting from red and yellow cubes. [video]** Retrieved from

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 4 of 7: Investigating numerical and algebraic representations for each case for the number of Unifix-cube towers 4-tall selecting from red and yellow cubes.

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

DescriptionIn the fourth clip in a series of seven from the seventh of seven interviews, 8th grader Stephanie and researcher Carolyn Maher investigate how to numerically represent the number of Unifix towers for n = 4 cubes tall, selecting from red and yellow cubes, for each case from r = 0 red cubes to r = 4 red cubes. Maher poses questions about the algebraic representation for each case and how it might be generalized for n = 5 and n = 6. Researcher Donna Weir is observing.

The problems posed to Stephanie are:

How might you use the same reasoning (building from towers with exactly one red cube) that produced Unifix-cube towers with two red cubes, when selecting from red and yellow cubes, to determine the number of towers 4-tall with exactly 3 cubes? How would you represent this numerically and algebraically?

How could you use this reasoning to represent numerically the number of towers 4-tall with four red cubes?

Given the single tower with no red cubes, how could you represent numerically the number of towers with exactly one red cube?

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-CLIP004

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 4 of 7: Investigating numerical and algebraic representations for each case for the number of Unifix-cube towers 4-tall selecting from red and yellow 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