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Early algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 8 of 9: Issues related to a physical model for (a+b) cubed and the volume of the model for a=1 and b=2.
Descriptive
Genre
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Research data
Genre
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Observational data
Genre
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Edited data
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Repurposed data
Genre
(authority = RURes_researchDataType)
Longitudinal data
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School
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Qualitative research
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Interviews (individual)
Subject
Name
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NamePart
(type = personal)
Stephanie (student)
Subject
Name
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NamePart
(type = corporate)
Harding Elementary School (Kenilworth, N.J.)
Subject
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Topic
Human sample
Subject
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Topic
Mathematics education
Subject
(authority = LCSH)
Topic
Learning, Psychology of--Case studies
Subject
(authority = LCSH)
Topic
Critical thinking in children--New Jersey--Case studies
Subject
(authority = LCSH)
Topic
Manipulatives (Education)--Case studies
Subject
(authority = Grade range)
Topic
6-8
Subject
(authority = NCTM Content)
Topic
Algebra
Subject
(authority = NCTM Process)
Topic
Problem solving
Subject
(authority = NCTM Process)
Topic
Reasoning and proof
Subject
(authority = NCTM Process)
Topic
Communication
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(authority = NCTM Process)
Topic
Connections
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(authority = NCTM Process)
Topic
Representation
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(authority = rbdil_gradeLevel)
Topic
8
Subject
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Topic
Algebra
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Topic
Color markers
Subject
(authority = rbdil_mathTools)
Topic
Algebra blocks
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Direct reasoning
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Substituting numbers for variables
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Considering a simpler problem
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Constructing a physical model
Subject
(authority = rbdil_mathProblem)
Topic
Construct volume model
Subject
(authority = rbdil_representations)
Topic
Mathematical expressions
Subject
(authority = rbdil_representations)
Topic
Physical models
Subject
(authority = rbdil_topic)
Topic
Variables
Subject
(authority = rbdil_topic)
Topic
Exponents
Subject
(authority = rbdil_topic)
Topic
Area
Subject
(authority = rbdil_topic)
Topic
Volume
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(authority = rbdil_setting)
Topic
Informal learning
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Public school
Subject
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Student view
Subject
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Topic
Work view
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Topic
Female
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(authority = rbdil_studentEthnicity)
Topic
White
TypeOfResource
MovingImage
Identifier
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A66A67-ALG-BIEX-CLIP008
Subject
(authority = rbdil_district)
Geographic
Kenilworth Public Schools
Subject
HierarchicalGeographic
Country
UNITED STATES
State
New Jersey
County
Union County
City
Kenilworth (N.J.)
Classification
(authority = RUresearch);
(edition = Data)
PhysicalDescription
InternetMediaType
video/quicktime
Extent
(unit = digital file(s))
1
TargetAudience
(authority = RURes_discipline)
Social science
TargetAudience
(authority = RURes_domain)
Mathematics education
Note
(type = supplementary materials)
Transcript and student work are also available.
Note
(type = APA citation)
Robert B. Davis Institute for Learning. (1996). Early algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 8 of 9: Issues related to a physical model for (a+b) cubed and the volume of the model for a=1 and b=2. [video]. Retrieved from
Name
(type = personal)
NamePart
(type = family)
Maher
NamePart
(type = given)
Carolyn Alexander
Affiliation
Rutgers, the State University of New Jersey
Role
RoleTerm
(authority = marcrelator);
(type = text)
Researcher
OriginInfo
CopyrightDate
(qualifier = exact)
1996-02-21
Place
PlaceTerm
(type = text)
New Brunswick, NJ
Publisher
Robert B. Davis Institute for Learning
RelatedItem
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TitleInfo
Title
A66, Early algebra ideas about binomial expansion, Stephanie's interview four of seven (student view), Grade 8, February 21, 1996, raw footage.
Identifier
(type = rbdil)
A66-19960221-KNWH-SV-INT-GR8-ALG-BIEX-RAW
RelatedItem
(type = host)
TitleInfo
Title
A67, Early algebra ideas about binomial expansion, Stephanie's interview four of seven (work view), Grade 8, February 21, 1996, raw footage.
Identifier
(type = rbdil)
A67-19960221-KNWH-WV-INT-GR8-ALG-BIEX-RAW
RelatedItem
(type = is referenced by)
TitleInfo
Title
A case study : the development of Stephanie's algebraic reasoning / by Eman Y. Aboelnaga.
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000057485
Extension
DescriptiveEvent
Type
Related publication
Label
Ed.D. dissertation references the video footage that includes Early algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 8 of 9: Issues related to a physical model for (a+b) cubed and the volume of the model for a=1 and b=2.
Place
New Brunswick, NJ
DateTime
(qualifier = exact)
2011
AssociatedEntity
Role
Author
Name
Aboelnaga, Eman Y. (Eman Yousry)
Affiliation
Rutgers, the State University of New Jersey
AssociatedObject
Type
Dissertation
Relationship
References
Name
A case study : the development of Stephanie's algebraic reasoning
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000057485
Reference
http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000057485
Detail
Dissertation available in digital format in the Rutgers University Libraries' dissertation collection.
Abstract
(type = summary)
In the eighth clip in a series of nine from the fourth of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, Stephanie revisits her physical model of (a+b) cubed. She identifies each piece of the model and points out that the pieces are in one-to-one correspondence with the terms of the algebraic expansion. When researcher Perl raises questions about the small cube, Maher agrees that the specificity of the pieces makes it difficult to use the model to represent the general form. Stephanie responds to their discussion by letting the length of the side of the small cube, "a", be 1 and the length of the longer side of each other piece, "b", be 2, because the physical pieces appeared to be constructed in this manner. She then calculates the volume of the cube with side (a+b) to be 27 and checks her answer by counting the number of small cubes in the total figure.
The problem as presented to Stephanie:
If the side of the small cube is one linear unit, find the volume of the cube constructed from the eight pieces.
The problem as presented to Stephanie:
If the side of the small cube is one linear unit, find the volume of the cube constructed from the eight pieces.
TitleInfo
Title
Early algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 8 of 9: Issues related to a physical model for (a+b) cubed and the volume of the model for a=1 and b=2.
Identifier
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http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000065483
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Robert B. Davis Institute for Learning Mathematics Education Collection
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rucore00000001201
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NjNbRU
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NjR
Identifier
(type = doi)
doi:10.7282/T3CF9P0P
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Rights
RightsHolder
(type = corporate)
Name
Robert B. Davis Institute for Learning
Role
Copyright holder
Telephone
732-932-8848
Address
Rutgers Graduate School of Education
10 Seminary Place
New Brunswick, NJ 08901-1183
10 Seminary Place
New Brunswick, NJ 08901-1183
ContactInformationDate
2009-11-03
RightsDeclaration
(AUTHORITY = rbdil1_v1);
(ID = rbdil1_v1)
The 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.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
Publication
Status
Unpublished
RightsEvent
Type
Permission or license
Label
Non-exclusive license to share the video presentation via RUcore.
Place
New Brunswick, NJ
DateTime
2009-11-03
Detail
Non-exclusive license to digitize and make openly available the videos and other collection resources of the Institute is on file in the office of the RUcore Collections Manager.
AssociatedEntity
Role
Licensor
Name
Maher, Carolyn A.
Affiliation
Director, Robert B. Davis Institute for Learning, Rutgers Graduate School of Education
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Source
SourceTechnical
SourceType
Videotape
Duration
00:05:54
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Technical
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