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Early algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 9 of 9: Building a geometric model of (x+y)(x+y)
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Early algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 9 of 9: Building a geometric model of (x+y)(x+y) [video]. Retrieved from https://doi.org/doi:10.7282/T3MC8Z03

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 9 of 9: Building a geometric model of (x+y)(x+y)
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, , c1995-11-08
Persistent URLhttps://doi.org/doi:10.7282/T3MC8Z03
DescriptionIn the final ninth clip in the series from the first of seven interviews focusing on Early Algebraic Ideas about the binomial expansion, Stephanie is presented with a drawing of a square with sides labeled x+y by an observing graduate student. In response to questions from researcher Carolyn Maher, Stephanie identifies and labels sections of the square and adds them together symbolically as another way of representing (x+y)(x+y).
The problem presented to Stephanie:
Given the square drawn on this paper with each side x+y, find the area.
Math ToolColor markers
Math StrandAlgebra
Math ProblemConstruct area 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
Grade Level8
Student ParticipantsStephanie (student)
MediatorsMaher, Carolyn Alexander (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 Captured1995-11-08
Local IdentifierA56A57-ALG-BIEX-CLIP009
Related Publication
   Type: Related publication
   Label: Ed.D. dissertation references the video footage that includes Early Algebra Ideas About Binomial Expansion, Stephanie's Interview One of Seven: Clip 9 of 9, Building a geometric model of (x+y)(x+y)
   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: A56, Early algebra ideas about binomial expansion, Stephanie's interview one of seven (student view), Grade 8, November 8, 1995, raw footage.
   Identifier: A56-19951108-KNWH-SV-INT-GR8-ALG-BIEX-RAW
Source
   Title: A57, Early algebra ideas about binomial expansion, Stephanie's interview one of seven (work view), Grade 8, November 8, 1995, raw footage.
   Identifier: A57-19951108-KNWH-WV-INT-GR8-ALG-BIEX-RAW
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