« Previous | 5 of 29 | Next »
« Back to Results List | Edit My Search | New Search | Selected Items
Selected item
thumbnail image
VIDEO
PDF
Transcript(265.71 kb)
Student Work(44.02 kb)
Citation & Export
Related Resources (5)
View Analytics (5)
Statistics
Staff View

Now Playing: MP4-1
Close

Open in new window/tab

Citation & Export
Hide

APA citation

Early algebra ideas about binomial expansion, Stephanie's interview two of seven, Clip 1 of 6: Is the square of the quantity (a+b) the same as (a squared) + (b squared)? [video]. Retrieved from https://doi.org/doi:10.7282/T3V123SH

Export

Click here for information about Citation Management Tools at Rutgers.

Related Resources (5)
Hide

Analytics (5)
Hide

Description

TitleEarly algebra ideas about binomial expansion, Stephanie's interview two of seven, Clip 1 of 6: Is the square of the quantity (a+b) the same as (a squared) + (b squared)?
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, , c1996-01-29
Persistent URLhttps://doi.org/doi:10.7282/T3V123SH
DescriptionIn the first clip in a series of six from the second of seven interviews in which 8th grade Stephanie explores Early Algebraic Ideas about Binomial Expansion, the researcher, Carolyn A. Maher, asks Stephanie to explain the meaning of the square of the quantity (a + b). When Stephanie responds that this is equivalent to the square of a added to the square of b, the researcher suggests that she test her conjecture with numbers. When the substitutions result in a contradiction, Stephanie is convinced that her conjecture is not true and records on her paper that the square of the quantity (a + b) has to be (a+b)(a+b), or the product of two factors of the quantity (a+b).
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, Reasoning by contradiction
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 Captured1996-01-29
Local IdentifierA58A59-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 two of seven, Clip 1 of 6: Is the square of the quantity (a+b) the same as (a squared) + (b squared)?
   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