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Early algebra ideas about binomial expansion, Stephanie's interview three of seven, Clip 5 of 7: Testing the partial symbolic expansion of the cube of (a+b) for a=3 and b=7.
Descriptive
Genre
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Research data
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Observational data
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Edited data
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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
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Stephanie (student)
Subject
Name
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Harding Elementary School (Kenilworth, N.J.)
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Topic
Human sample
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Mathematics education
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Learning, Psychology of--Case studies
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Critical thinking in children--New Jersey--Case studies
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Manipulatives (Education)--Case studies
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6-8
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Topic
Algebra
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Topic
Problem solving
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Topic
Reasoning and proof
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Topic
Communication
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Topic
Connections
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(authority = NCTM Process)
Topic
Representation
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(authority = rbdil_gradeLevel)
Topic
8
Subject
(authority = rbdil_mathStrand)
Topic
Algebra
Subject
(authority = rbdil_mathProblem)
Topic
Binomial expansion
Subject
(authority = rbdil_mathTools)
Topic
Base ten blocks
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Direct reasoning
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(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Substituting numbers for variables
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(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Considering a simpler problem
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Topic
Mathematical expressions
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(authority = rbdil_topic)
Topic
Exponents
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Informal learning
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Public school
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Work view
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Student view
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Female
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Topic
White
Subject
(authority = rbdil_topic)
Topic
Distributive property
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A64A65-ALG-BIEX-CLIP005
Subject
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Geographic
Kenilworth Public Schools
Subject
HierarchicalGeographic
Country
UNITED STATES
State
New Jersey
County
Union County
City
Kenilworth (N.J.)
Classification
(authority = RUresearch);
(edition = Data)
Abstract
(type = summary)
In the fifth clip in a series of seven from the third of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, Stephanie is asked by researcher Carolyn Maher to represent the expansion of the quantity (a+b). After Stephanie rewrites the expression (a+b) cubed, first as (a+b)(a+b)(a+b) and then as (a+b)( a squared + 2ab + b squared), she tests her work by letting a=3 and b=7, uses the distributive property to simplify and then calculates the result.
The problem as presented to Stephanie:
Given the expression: (a+b) cubed: what does that mean? If (a+b) cubed = (a+b) (a cubed + 2ab + b cubed), substitute 3 for a and 7 for b and use the distributive property to simplify and then calculate your answer.
The problem as presented to Stephanie:
Given the expression: (a+b) cubed: what does that mean? If (a+b) cubed = (a+b) (a cubed + 2ab + b cubed), substitute 3 for a and 7 for b and use the distributive property to simplify and then calculate your answer.
PhysicalDescription
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video/quicktime
Extent
(unit = digital file(s))
1
TargetAudience
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Social science
TargetAudience
(authority = RURes_domain)
Mathematics education
Note
(type = supplementary materials)
Transcript is also available.
Note
(type = APA citation)
Robert B. Davis Institute for Learning. (1996). Early algebra ideas about binomial expansion, Stephanie's interview three of seven, Clip 5 of 7: Testing the partial symbolic expansion of the cube of (a+b) for a =3 and b=7. [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
OriginInfo
CopyrightDate
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1996-02-07
Place
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New Brunswick, NJ
Publisher
Robert B. Davis Institute for Learning
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TitleInfo
Title
A64, Early algebra ideas about binomial expansion, Stephanie's interview three of seven (student view), Grade 8, February 7, 1996, raw footage.
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A64-19960207-KNWH-SV-INT-GR8-ALG-BIEX-RAW
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Title
A65, Early algebra ideas about binomial expansion, Stephanie's interview three of seven (work view), Grade 8, February 7, 1996, raw footage.
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A65-19960207-KNWH-WV-INT-GR8-ALG-BIEX-RAW
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TitleInfo
Title
A case study : the development of Stephanie's algebraic reasoning / by Eman Y. Aboelnaga.
Identifier
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http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000057485
Extension
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Related publication
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Ed.D. dissertation references the video footage that includes Early algebra ideas about binomial expansion, Stephanie's interview three of seven, Clip 5 of 7: Testing the partial symbolic expansion of the cube of (a+b) for a =3 and b=7.
Place
New Brunswick, NJ
DateTime
(qualifier = exact)
2011
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Author
Name
Aboelnaga, Eman Y. (Eman Yousry)
Affiliation
Rutgers, the State University of New Jersey
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Dissertation
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A case study : the development of Stephanie's algebraic reasoning
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http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000057485
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http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000057485
Detail
Dissertation available in digital format in the Rutgers University Libraries' dissertation collection.
TitleInfo
Title
Early algebra ideas about binomial expansion, Stephanie's interview three of seven, Clip 5 of 7: Testing the partial symbolic expansion of the cube of (a+b) for a=3 and b=7.
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Robert B. Davis Institute for Learning Mathematics Education Collection
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rucore00000001201
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NjR
Identifier
(type = doi)
doi:10.7282/T39C6WB6
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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
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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
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Videotape
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00:07:49
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