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Early 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. [video] Retrieved from
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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.
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, , c1996-03-13
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 Unifix-cube towers problem as a specific physical model for selecting a given number of objects from a set. Researcher Carolyn Maher asks Stephanie to consider towers 4-cubes tall when selecting from two colors (red and yellow), and to use combinatorics notation to record the number of towers for different cases. In this clip, Stephanie determines the number of unifix cube towers, 4-cubes tall, selecting from red and yellow cubes, with exactly three red cubes and justifies her solution by constructing an organized drawing of the towers. Finally, she records her solutions for exactly 3 red cubes and for zero red cubes using the combinatorics notation.
The problems as presented to Stephanie:
How many unifix towers can you build, selecting from two colors, with exactly three cubes of one color? With no cubes of one of the colors? How can you denote the number of selections of three objects from a group of 4? Zero objects from a group of 4?
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 Captured1996-03-13
Local IdentifierA68A69-ALG-BIEX-CLIP003
Related Publication
Type: Related publication
Label: Ed.D. dissertation references the video footage that includes Early 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.
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: A68, Early algebra ideas about binomial expansion, Stephanie's interview five of seven (student view), Grade 8, March 13, 1996, raw footage.
Identifier: A68-19960313-KNWH-SV-INT-GR8-ALG-BIEX-RAW
Source
Title: A69, Early algebra ideas about binomial expansion, Stephanie's interview five of seven (work view), Grade 8, March 13, 1996, raw footage.
Identifier: A69-19960313-KNWH-WV-INT-GR8-ALG-BIEX-RAW