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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)?

Descriptive

Genre (authority = RURes_dataLifecycle)
Edited data
Genre (authority = RURes_dataLifecycle)
Repurposed data
Genre (authority = RURes_qualitativeMethod)
Interviews (individual)
Genre (authority = RURes_researchDataType)
Longitudinal data
Genre (authority = RURes_researchMethodology)
Qualitative research
Genre (authority = RURes_dataCollectionSetting)
School
Genre (authority = RURes_Genre)
Research data
Genre (authority = RURes_dataGenre)
Observational data
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Stephanie (student)
Subject
Name (authority = RBDIL_corporate)
NamePart (type = corporate)
Harding Elementary School (Kenilworth, N.J.)
Subject (authority = Grade range)
Topic
6-8
Subject (authority = LCSH)
Topic
Critical thinking in children--New Jersey--Case studies
Subject (authority = LCSH)
Topic
Learning, Psychology of--Case studies
Subject (authority = LCSH)
Topic
Mathematics education
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
Subject (authority = NCTM Process)
Topic
Connections
Subject (authority = NCTM Process)
Topic
Representation
Subject (authority = rbdil_cameraView)
Topic
Work view
Subject (authority = rbdil_cameraView)
Topic
Student view
Subject (authority = rbdil_mathStrand)
Topic
Algebra
Subject (authority = rbdil_mathTools)
Topic
Color markers
Subject (authority = rbdil_setting)
Topic
Informal learning
Subject (authority = rbdil_gradeLevel)
Topic
8
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Direct reasoning
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Reasoning by contradiction
Subject (authority = rbdil_representations)
Topic
Mathematical expressions
Subject (authority = rbdil_studentGender)
Topic
Female
Subject (authority = rbdil_studentEthnicity)
Topic
White
Subject (authority = rbdil_schoolType)
Topic
Public school
Subject (authority = rbdil_topic)
Topic
Factors
Subject (authority = RURes_subjectOfStudy)
Topic
Human sample
Subject (authority = rbdil_topic)
Topic
Variables
Subject (authority = rbdil_mathProblem)
Topic
Binomial expansion
Subject (authority = rbdil_district)
Geographic
Kenilworth Public Schools
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 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
RelatedItem (type = host)
TitleInfo
Title
A58, Early algebra ideas about binomial expansion, Stephanie's interview two of seven (student view), Grade 8, January 29, 1996, raw footage.
Identifier (type = rbdil)
A58-19960129-KNWH-SV-INT-GR8-ALG-BIEX-RAW
RelatedItem (type = host)
TitleInfo
Title
A59, Early algebra ideas about binomial expansion, Stephanie's interview two of seven (work view), Grade 8, January 29, 1996, raw footage.
Identifier (type = rbdil)
A59-19960129-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 two of seven, Clip 1 of 6: Is the square of the quantity (a+b) the same as (a squared) + (b squared)?
Place
Rutgers, the State University of New Jersey, 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
TypeOfResource
MovingImage
Identifier (type = rbdil)
A58A59-ALG-BIEX-CLIP001
Subject
HierarchicalGeographic
Country
UNITED STATES
State
New Jersey
County
Union County
City
Kenilworth (N.J.)
Abstract (type = summary)
In 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)?
PhysicalDescription
Extent (unit = digital file(s))
1
InternetMediaType
video/quicktime
InternetMediaType
video/x-flv
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
Place
PlaceTerm (type = text)
New Brunswick, NJ
Publisher
Robert B. Davis Institute for Learning
CopyrightDate (qualifier = exact)
1996-01-29
TitleInfo
Title
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)?
Classification (authority = RUresearch); (edition = Data)
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000064106
RelatedItem (type = host)
TitleInfo
Title
Robert B. Davis Institute for Learning Mathematics Education Collection
Identifier (type = local)
rucore00000001201
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers University. Libraries)
NjR
Identifier (type = doi)
doi:10.7282/T3V123SH
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Rights

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
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
ContactInformationDate
2012-02-21
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
00:05:55
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Technical

ContentModel
Video
PreservationLevel
full
Generation
Digital preservation master
Duration
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MS Video
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Checksum (METHOD = SHA1)
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