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Early algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 3 of 9: Making general sense of a(x + y) = ax + ay. [video] Retrieved from https://doi.org/doi:10.7282/T3R49PRV

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 3 of 9: Making general sense of a(x + y) = ax + ay.
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, , c1995-11-08
Persistent URLhttps://doi.org/doi:10.7282/T3R49PRV
DescriptionIn the third clip in a series of nine from the first of seven interviews focusing on Early Algebraic Ideas about the binomial expansion, Stephanie, an 8th grade student, reviews her conclusions about distributing any number over the sum of two variables. When researcher Carolyn Maher asks her to revisit her earlier conjecture about the expression a(x + y) as it relates to the expression 5(L + W), Stephanie expresses uncertainty because there is not a specified number to indicate how many times to add the quantity (x + y). She uses words instead of algebraic symbols to write her conclusion that the expression a( x + y) means that there would be "a" amount of "x's" and also "a" amount of "y's".
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 ViewsStudent view, Work 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-CLIP003
Related Publication
   Type: Related publication
   Label: Ed.D disseration references the video footage that includes Early algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 3 of 9: Making general sense of a(x + y) = ax + ay
   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