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Early algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 2 of 9: Distributing a variable over other variables, Does it check out with numbers?
Descriptive
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MovingImage
TitleInfo
Title
Early algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 2 of 9: Distributing a variable over other variables, Does it check out with numbers?
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(type = rbdil)
A56A57-ALG-BIEX-CLIP002
Genre
(authority = RURes_Genre)
Research data
Genre
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Observational data
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Edited data
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Repurposed data
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Interviews (individual)
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Longitudinal data
Genre
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Qualitative research
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School
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
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 = 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 = rbdil_cameraView)
Topic
Work view
Subject
(authority = rbdil_cameraView)
Topic
Student view
Subject
(authority = rbdil_mathStrand)
Topic
Algebra
Subject
(authority = rbdil_mathProblem)
Topic
Simplify expressions
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
Additive reasoning
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Considering a simpler problem
Subject
(authority = rbdil_studentGender)
Topic
Female
Subject
(authority = rbdil_studentEthnicity)
Topic
White
Subject
(authority = rbdil_schoolType)
Topic
Public school
Subject
(authority = rbdil_topic)
Topic
Distributive property
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Topic
Human sample
Subject
(authority = NCTM Process)
Topic
Representation
Subject
(authority = rbdil_district)
Geographic
Kenilworth Public Schools
Subject
HierarchicalGeographic
Country
UNITED STATES
State
New Jersey
County
Union County
City
Kenilworth (N.J.)
Abstract
(type = abstract)
In the second clip in a series of nine from the first of seven interviews focusing on Early Algebraic Ideas about the binomial expansion, researcher, Carolyn A. Maher, asks Stephanie, an 8th grade student, whether a variable "a" could be distributed over a quantity composed of the sum of two other variables and how this would be represented symbolically. Stephanie, after conjecturing that a(x + y) would be the same as ax + ay, begins by substituting the numbers 2, 3 and 4 for "a", "x" and"y" in each expression to test her conjecture. When asked whether her conjecture will always work, she questions the usefulness of distributing multiplication over addition in cases where there are numbers, rather than variables, to express the sum. She then tests her conjecture by substituting the numbers 2 and 4 for "a" and "y", setting the resulting expression equal to 14, the result of the earlier substitution, and solving for "x".
The problem as presented to Stephanie:
a (x + y) is written on Stephanie's paper. The researcher asks: What do you think this might be?
Stephanie's equation for checking her conjecture:
2(x + 4) = 14
The problem as presented to Stephanie:
a (x + y) is written on Stephanie's paper. The researcher asks: What do you think this might be?
Stephanie's equation for checking her conjecture:
2(x + 4) = 14
PhysicalDescription
Extent
(unit = digital file(s))
1
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video/quicktime
InternetMediaType
video/x-flv
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(authority = marcform)
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. (1995). Early algebra ideas about binomial expansion, Stephanie's interview One of Seven, Clip 2 of 9: Distributing a variable over other variables, Does it check out with numbers? [video] Retrieved from
Name
(type = personal)
NamePart
(type = family)
Maher
NamePart
(type = given)
Carolyn Alexander
Affiliation
Rutgers, the State University of New Jersey
Role
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Researcher
RelatedItem
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TitleInfo
Title
A56, Early algebra ideas about binomial expansion, Stephanie's interview one of seven (student view), Grade 8, November 8, 1995, raw footage.
Identifier
(type = rbdil)
A56-19951108-KNWH-SV-INT-GR8-ALG-BIEX-RAW
RelatedItem
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TitleInfo
Title
A57, Early algebra ideas about binomial expansion, Stephanie's interview one of seven (work view), Grade 8, November 8, 1995, raw footage.
Identifier
(type = rbdil)
A57-19951108-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
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Related publication
Label
Ed.D. dissertation references the video footage that includes Early algebra ideas about binomial expansion, Stephanie's interview one of Seven, Clip 2 of 9: Distributing a variable over other variables, Does it check out with numbers?
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
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Dissertation
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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 is available in digital format in the Rutgers University Libraries' dissertation collection.
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(edition = Data)
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http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000064086
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TitleInfo
Title
Robert B. Davis Institute for Learning Mathematics Education Collection
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rucore00000001201
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NjNbRU
Location
PhysicalLocation
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NjR
Identifier
(type = doi)
doi:10.7282/T3765DC4
OriginInfo
DateOther
(encoding = w3cdtf);
(type = date captured)
2012-04-10
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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
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
Rutgers, the State University of New Jersey, New Brunswick, NJ
DateTime
(qualifier = exact)
2009-11-03
AssociatedEntity
Role
Licensor
Name
Maher, Carolyn A.
Affiliation
Director, Robert B. Davis Institute for Learning, Rutgers Graduate School of Education
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.
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Source
SourceTechnical
SourceType
Videotape
Duration
00:04:33
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Checksum
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