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Early algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 1 of 9: The Distributive property, Distributing a number over variables. [video] Retrieved from https://doi.org/doi:10.7282/T33F4NND

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 1 of 9: The Distributive property, Distributing a number over variables.
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, , c1995-11-08
Persistent URLhttps://doi.org/doi:10.7282/T33F4NND
DescriptionIn the first clip in a series of nine from the first of seven interviews in which 8th grade Stephanie explores Early Algebraic Ideas about Binomial Expansion, the researcher, Carolyn A. Maher, asks a series of questions about distributing a number over a quantity composed of the sum of two variables. Stephanie noted earlier that she worked earlier on finding the perimeter of quadrilaterals in her 8th grade algebra class and that the perimeter of a rectangle can by represented symbolically by 2(W + L) or 2W + 2L. When Maher asks Stephanie about 5(W + L), they explored together the relationship between multiplication and repeated addition for this expression. Maher asked Stephanie whether she remembered using "boxes" and "triangles" to represent variables.
The problem as presented to Stephanie:
5 (W + L) is written on Stephanie's paper below 2(W + L) = 2W + 2L. The researcher asks: Could you do that?
Math ToolColor markers
Math StrandAlgebra
Math ProblemSimplify expressions
NCTM Grade Range6-8
NCTM Content StandardAlgebra
NCTM Process StandardProblem solving, Reasoning and proof, Communication, Connections, Representation
Forms of Reasoning, Strategies and HeuristicsDirect reasoning, Additive 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
Date Captured1995-11-08
Local IdentifierA56A57-ALG-BIEX-CLIP001
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 1 of 9: The Distributive property, Distributing a number over variables
   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-PV-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