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Early algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 4 of 9: Making general sense of x times x.
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Early algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 4 of 9: Making general sense of x times x. [video] Retrieved from https://doi.org/doi:10.7282/T3BZ6523

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TitleEarly algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 4 of 9: Making general sense of x times x.
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, , c1995-11-08
Persistent URLhttps://doi.org/doi:10.7282/T3BZ6523
DescriptionIn the fourth clip in a series of nine from the first of seven interviews focusing on Early Algebraic Ideas about the binomial expansion, researcher Carolyn Maher asks Stephanie to focus on the meaning of the expression x times x. After developing a table to represent consecutive numerical values of x with each value expressed as a factor two times, Stephanie concludes that each numerical product of two identical factors can be expressed as the number "squared", represented by the exponent 2 following the number. She then concludes that, for the variable "x", the expression "x times x" can be represented as "x squared" using the exponent 2 after the "x".
The problem as presented to Stephanie:
Suppose you had x times x. What would that be?
Math ToolColor markers
Math StrandAlgebra
Math ProblemQuadratic expressions
NCTM Grade Range6-8
NCTM Content StandardAlgebra
NCTM Process StandardProblem solving, Reasoning and proof, Communication, Representation, Connections
Forms of Reasoning, Strategies and HeuristicsDirect reasoning, Multiplicative 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-CLIP004
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 4 of 9: Making general sense of x times x.
   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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