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Early algebra ideas about binomial expansion, Stephanie's interview two of seven, Clip 6 of 6: The square of (a+b), how to imagine each piece?
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Early algebra ideas about binomial expansion, Stephanie's interview two of seven, Clip 6 of 6: The square of (a+b), how to imagine each piece? [video]. Retrieved from https://doi.org/doi:10.7282/T3KH0M91

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview two of seven, Clip 6 of 6: The square of (a+b), how to imagine each piece?
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, , c1996-01-29
Persistent URLhttps://doi.org/doi:10.7282/T3KH0M91
DescriptionIn the final clip in a series of six from the second of seven interviews in which 8th grade Stephanie explores Early Algebraic Ideas about Binomial Expansion, Stephanie explains to the researcher, Carolyn Maher, her understanding of the meaning of each of the areas in the partitioned square with side (a+b).
The problems as posed to Stephanie:
For each of the pieces, the square with side a, the square with side b, and the rectangles with sides a and b, how would you imagine that the area is formed? Explain how you arrive at the number of square units for each part.
The problem as presented to Stephanie:
What is the meaning of the square of the quantity (a+b)?
Math ToolColor markers
Math StrandAlgebra
Math ProblemBinomial expansion
NCTM Grade Range6-8
NCTM Content StandardAlgebra
NCTM Process StandardProblem solving, Reasoning and proof, Communication, Connections, Representation
Forms of Reasoning, Strategies and HeuristicsDirect reasoning, Substituting numbers for variables
Grade Level8
Student ParticipantsStephanie (student)
MediatorsMaher, Carolyn Alexander (Researcher), Muter, Ethel M. (Researcher)
CorporateHarding Elementary School (Kenilworth, N.J.)
SettingInformal learning
Student GenderFemale
Student EthnicityWhite
Camera ViewsWork view, Student view
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 Captured1996-01-29
Local IdentifierA58A59-ALG-BIEX-CLIP006
Related Publication
   Type: Related publication
   Label: Ed.D. dissertation references the video footage that includes Early algebra ideas about binomial expansion, Stephanie's interview two of seven, Clip 6 of 6: The square of (a+b), how to imagine each piece?
   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: A58, Early algebra ideas about binomial expansion, Stephanie's interview two of seven (student view), Grade 8, January 29, 1996, raw footage.
   Identifier: A58-19960129-KNWH-SV-INT-GR8-ALG-BIEX-RAW
Source
   Title: A59, Early algebra ideas about binomial expansion, Stephanie's interview two of seven (work view), Grade 8, January 29, 1996, raw footage.
   Identifier: A59-19960129-KNWH-WV-INT-GR8-ALG-BIEX-RAW
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