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Early algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 5 of 9: Building (a+b) cubed and identifying the pieces. [video] Retrieved from https://doi.org/doi:10.7282/T308647X

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 5 of 9: Building (a+b) cubed and identifying the pieces.
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, , c1996-02-21
Persistent URLhttps://doi.org/doi:10.7282/T308647X
DescriptionIn the fifth clip in a series of nine from the fourth of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, Stephanie uses the small and large cube and 6 rectangular prisms provided to construct a cube with side (a+b). She identifies each of the pieces as it relates to her algebraic expansion of (a+b) cubed to researcher Carolyn Maher.
The problem as presented to Stephanie:
How could you build (a+b) cubed from the packet of 8 cubes and rectangular solids? How would you label each of the pieces?
Math ToolColor markers, Algebra blocks
Math StrandAlgebra
Math ProblemConstruct volume model
NCTM Grade Range6-8
NCTM Content StandardAlgebra
NCTM Process StandardProblem solving, Reasoning and proof, Communication, Connections, Representation
Forms of Reasoning, Strategies and HeuristicsDirect reasoning, Constructing a physical model
Grade Level8
Student ParticipantsStephanie (student)
MediatorsMaher, Carolyn Alexander (Researcher)
CorporateHarding Elementary School (Kenilworth, N.J.)
SettingInformal learning
Student GenderFemale
Student EthnicityWhite
Camera ViewsStudent view, Work view
Date Captured1996-02-21
Local IdentifierA66A67-ALG-BIEX-CLIP005
Related Publication
   Type: Related publication
   Label: Ed.D. dissertation references the video footage that includes Early algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 5 of 9: Building (a+b) cubed and identifying the pieces.
   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: A66, Early algebra ideas about binomial expansion, Stephanie's interview four of seven (student view), Grade 8, February 21, 1996, raw footage.
   Identifier: A66-19960221-KNWH-SV-INT-GR8-ALG-BIEX-RAW
Source
   Title: A67, Early algebra ideas about binomial expansion, Stephanie's interview four of seven (work view), Grade 8, February 21, 1996, raw footage.
   Identifier: A67-19960221-KNWH-WV-INT-GR8-ALG-BIEX-RAW