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Early algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 2 of 11: Stephanie rebuilds Unifix towers 1-cube, 2-cubes, 3-cubes and 4-cubes tall, selecting from two colors
Descriptive
Genre
(authority = RURes_Genre)
Research data
Genre
(authority = RURes_dataGenre)
Observational data
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
Subject
(authority = LCSH)
Topic
Mathematics education
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
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
Subject
(authority = NCTM Process)
Topic
Connections
Subject
(authority = NCTM Process)
Topic
Representation
Subject
(authority = rbdil_mathStrand)
Topic
Algebra
Subject
(authority = rbdil_mathProblem)
Topic
Binomial expansion
Subject
(authority = rbdil_mathTools)
Topic
Color markers
Subject
(authority = rbdil_mathTools)
Topic
Unifix cubes
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
Recursive reasoning
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Inductive reasoning
Subject
(authority = rbdil_representations)
Topic
Physical models
Subject
(authority = rbdil_representations)
Topic
Combinatorics notation
Subject
(authority = rbdil_topic)
Topic
Combinations
Subject
(authority = rbdil_cameraView)
Topic
Student view
Subject
(authority = rbdil_cameraView)
Topic
Work view
Subject
(authority = rbdil_studentGender)
Topic
Female
Subject
(authority = rbdil_studentEthnicity)
Topic
White
Subject
(authority = rbdil_schoolType)
Topic
Public school
Subject
(authority = RURes_subjectOfStudy)
Topic
Sample of human subjects
TargetAudience
(authority = RURes_discipline)
Social science
TargetAudience
(authority = RURes_domain)
Mathematics education
Note
(type = APA citation)
Robert B. Davis Institute for Learning. (1996). Early algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 2 of 11: Stephanie rebuilds Unifix towers 1-cube, 2-cubes, 3-cubes and 4-cubes tall, selecting from two colors. [video]. Retrieved from
Note
(type = supplementary materials)
Transcript and student work are also available.
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
Name
(type = personal)
NamePart
(type = family)
Speiser
NamePart
(type = given)
R. (Robert)
Role
RoleTerm
(authority = marcrelator);
(type = text)
Researcher
Affiliation
Rutgers, the State University of New Jersey
RelatedItem
(type = host)
TitleInfo
Title
B06, Early algebra ideas about binomial expansion, Stephanie's interview six of seven (student view), Grade 8, March 27, 1996, raw footage.
Identifier
(type = rbdil)
B06-19960327-KNWH-SV-INT-GR8-ALG-BIEX-RAW
RelatedItem
(type = host)
TitleInfo
Title
B07, Early algebra ideas about binomial expansion, Stephanie's interview six of seven (work view), Grade 8, March 27, 1996, raw footage.
Identifier
(type = rbdil)
B07-19960327-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
TypeOfResource
MovingImage
Identifier
(type = rbdil)
B06B07-ALG-BIEX-CLIP002
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 = 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)
Abstract
(type = summary)
In the second clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie continues her exploration of early algebraic ideas about binomial expansion with researchers Carolyn Maher and Robert Speiser. After reviewing the meaning of the combinatorics notation, Stephanie begins to logically build sets of Unifix towers of different heights when selecting from green and blue cubes. She asserts that there would be exactly two towers that are one-cube tall and positions these two cubes as a first row. She then constructs the four towers that could be generated from those two by adding either a green or a blue cube onto the original cubes and positions them as a second row. Stephanie then repeats this process to produce a third row of towers 3-cubes tall. Finally, she rebuilds the set of towers 4-cubes tall that she had built earlier and positions them in a fourth row, according to the correspondence between each of the 8 towers in row 3 with the pair that it could have generated
The problems, as generated by Stephanie for her discussion with the researchers:
Explain the meaning of the symbolic notation for selecting a particular number of items from a set of items.
Beginning with towers one cube tall, build each successive set of towers from towers that are two-cubes tall through towers that are 4-cubes tall, showing how each successive set of towers is generated from the row with height of one fewer cube.
The problems, as generated by Stephanie for her discussion with the researchers:
Explain the meaning of the symbolic notation for selecting a particular number of items from a set of items.
Beginning with towers one cube tall, build each successive set of towers from towers that are two-cubes tall through towers that are 4-cubes tall, showing how each successive set of towers is generated from the row with height of one fewer cube.
PhysicalDescription
Extent
(unit = digital file(s))
1
InternetMediaType
video/x-flv
OriginInfo
Place
PlaceTerm
(type = text)
New Brunswick, NJ
Publisher
Robert B. Davis Institute for Learning
CopyrightDate
(qualifier = exact)
1996-03-27
Extension
DescriptiveEvent
Type
Related publication
Label
Ed.D. dissertation references the footage that includes Early algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 2 of 11: Stephanie rebuilds Unifix towers 1-cube, 2-cubes, 3-cubes and 4-cubes tall, selecting from two colors.
Place
Rutgers, the State University of New Jersey, New Brunswick, NJ
DateTime
(qualifier = exact)
2011
Detail
D
AssociatedEntity
Role
Author
Name
Aboelnaga, Eman Y. (Eman Yousry)
Affiliation
Rutgers, the State University of New Jersey
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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
(type = digital)
http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000057485
Detail
issertation available in digital format in the Rutgers University Libraries' dissertation collection
TitleInfo
Title
Early algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 2 of 11: Stephanie rebuilds Unifix towers 1-cube, 2-cubes, 3-cubes and 4-cubes tall, selecting from two colors
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Robert B. Davis Institute for Learning Mathematics Education Collection
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NjR
Identifier
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doi:10.7282/T31R6PB1
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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
732-932-7496 ext. 8112
Address
Rutgers Graduate School of Education
10 Seminary Place
New Brunswick, NJ 08901-1183
10 Seminary Place
New Brunswick, NJ 08901-1183
ContactInformationDate
2012-09-12
RightsEvent
Type
Permission or license
Label
Non-exclusive license to share the video presentation via RUcore
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
00:05:35
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Technical
ContentModel
Video
PreservationLevel
full
Generation
Digital preservation master
Duration
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