« Previous | 8 of 100 | Next »
« Back to Results List | Edit My Search | New Search | Selected Items
Selected item
thumbnail image
VIDEO
PDF
Transcript(127.37 kb)
Student Work(149.75 kb)
Citation & Export
Related Resources (1)
View Analytics (1)
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 five of seven, Clip 2 of 10: Unifix cube towers 4 tall, selecting from two colors, as a model for selecting two objects from a group of four. [video] Retrieved from https://doi.org/doi:10.7282/T3N58KB8

Export

Click here for information about Citation Management Tools at Rutgers.

Related Resources (1)
Hide

Analytics (1)
Hide

Description

TitleEarly algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 2 of 10: Unifix cube towers 4 tall, selecting from two colors, as a model for selecting two objects from a group of four.
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, , c1996-03-13
Persistent URLhttps://doi.org/doi:10.7282/T3N58KB8
DescriptionIn the second clip in a series of ten from the fifth of seven interviews, 8th grader Stephanie continues her exploration of Early Algebraic Ideas about Binomial Expansion. She is revisiting the Unifix-cube towers problem as a specific physical model for selecting a given number of objects from a set. Researcher Carolyn Maher asks Stephanie to consider towers 4-cubes tall when selecting from two colors (red and yellow), and to use combinatorics notation to record her solutions for different cases. Having determined the number of towers with no yellow cubes and with exactly one yellow cube in Clip One of this series, Stephanie next finds the number of unifix cube towers, 4-cubes tall, selecting from red and yellow cubes, with exactly two yellow cubes and justifies her solution by constructing an organized drawing of the towers.
The problems as presented to Stephanie:
How many unifix towers can you build, selecting from two colors, with exactly two cubes of each color?
How many ways can you select two objects from a group of 4?
Math ToolColor markers
Math StrandAlgebra
Math ProblemTowers
NCTM Grade Range6-8
NCTM Content StandardAlgebra
NCTM Process StandardProblem solving, Reasoning and proof, Communication, Connections, Representation
Forms of Reasoning, Strategies and HeuristicsDirect reasoning, Constructing a pictorial model, Referencing a previous problem, Recognizing a pattern
Grade Level8
Student ParticipantsStephanie (student)
MediatorsMaher, Carolyn Alexander (Researcher), Steencken, Elena Perrone (Researcher), Muter, Ethel M. (Researcher)
CorporateHarding Elementary School (Kenilworth, N.J.)
SettingInformal learning
Student GenderFemale
Student EthnicityWhite
Camera ViewsWork view, Student view
Date Captured1996-03-13
Local IdentifierA68A69-ALG-BIEX-CLIP002
Related Publication
   Type: Related publication
   Label: Ed.D. dissertation references the video footage that includes Early algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 2 of 10: Unifix cube towers 4 tall, selecting from two colors, as a model for selecting two objects from a group of four.
   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: A68, Early algebra ideas about binomial expansion, Stephanie's interview five of seven (student view), Grade 8, March 13, 1996, raw footage.
   Identifier: A68-19960313-KNWH-SV-INT-GR8-ALG-BIEX-RAW
Source
   Title: A69, Early algebra ideas about binomial expansion, Stephanie's interview five of seven (work view), Grade 8, March 13, 1996, raw footage.
   Identifier: A69-19960313-KNWH-WV-INT-GR8-ALG-BIEX-RAW