« Previous | 4 of 29 | Next »
« Back to Results List | Edit My Search | New Search | Selected Items
Selected item
thumbnail image
VIDEO
PDF
Transcript(127.32 kb)
Student Work(635.37 kb)
Citation & Export
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 seven of seven, Clip 1 of 7: Stephanie revisits generating Unifix-cube towers 4-tall from exactly one to exactly two red cubes. [video] Retrieved from https://doi.org/doi:10.7282/T30R9N73

Export

Click here for information about Citation Management Tools at Rutgers.

Description

TitleEarly algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 1 of 7: Stephanie revisits generating Unifix-cube towers 4-tall from exactly one to exactly two red cubes.
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, , c1996-04-17
Persistent URLhttps://doi.org/doi:10.7282/T30R9N73
DescriptionIn the first clip in a series of seven from the seventh of seven interviews, 8th grader Stephanie revisits her earlier exploration of how to generate Unifix-cube towers across cases with researchers Carolyn Maher and Donna Weir. Selecting from red and yellow cubes, Stephanie builds the four towers with exactly one red cube and explains that from each of the four, holding the single red cube constant, she can build three new towers with exactly two red cubes. After building the three towers corresponding to the original four, she points out that the twelve resulting towers include duplicates. She identifies pairs of towers that are the same and shows the researchers that there are actually six unique towers with exactly two red and two yellow cubes. In response to a question from researcher Maher, Stephanie indicates that the mathematical expression describing what she has built would be the quantity 4 times 3, referring to the 3 towers generated from each of the 4 originals, divided by 2 to account for the duplicates.

The problems posed to Stephanie are:
Explain how you generated the towers across cases (from four-cube towers with exactly one red to four-cube towers with exactly 2 red cubes).
How would you describe what you did using numbers?
Math ToolUnifix cubes
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 HeuristicsReasoning by cases, Direct reasoning, Recognizing a pattern, Reasoning by contradiction, Controlling for variables
Grade Level8
Student ParticipantsStephanie (student)
MediatorsMaher, Carolyn Alexander (Researcher), Weir, M. Donna (Researcher)
CorporateHarding Elementary School (Kenilworth, N.J.)
SettingInformal learning
Student GenderFemale
Student EthnicityWhite
Camera ViewsWork view, Student view
Date Captured1996-04-17
Local IdentifierB08B09-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 seven of seven, Clip 1 of 7: Stephanie revisits generating Unifix-cube towers 4-tall from exactly one to exactly two red cubes.
   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: B08, Early algebra ideas about binomial expansion, Stephanie's interview seven of seven (student view), Grade 8, April 17, 1996, raw footage.
   Identifier: B08-19960417-KNWH-SV-INT-GR8-ALG-BIEX-RAW
Source
   Title: B09, Early algebra ideas about binomial expansion, Stephanie's interview seven of seven (work view), Grade 8, April 17, 1996, raw footage.
   Identifier: B09-19960417-KNWH-WV-INT-GR8-ALG-BIEX-RAW