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Early algebra ideas about binomial expansion, Stephanie's interview six of seven, Clip 11 of 11: Extending ideas about generating towers 4-cubes tall selecting from green and blue cubes to towers 5-cubes tall with exactly 1 green cube and connecting to Fermat and Pascal
Descriptive
Genre
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Research data
Genre
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Observational data
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Edited data
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Repurposed data
Genre
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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
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Topic
Mathematics education
Subject
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Topic
Critical thinking in children--New Jersey--Case studies
Subject
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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
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Topic
Problem solving
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(authority = NCTM Process)
Topic
Reasoning and proof
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(authority = NCTM Process)
Topic
Communication
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(authority = NCTM Process)
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Connections
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(authority = NCTM Process)
Topic
Representation
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Topic
Algebra
Subject
(authority = rbdil_mathProblem)
Topic
Binomial expansion
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Topic
Color markers
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(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
Reasoning by cases
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
Working backwards
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(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Controlling for variables
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(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Recognizing a pattern
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Topic
Physical models
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Topic
Pascal's triangle
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Topic
Combinations
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Student view
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Topic
Work view
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Topic
Female
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Topic
White
Subject
(authority = rbdil_schoolType)
Topic
Public school
Subject
(authority = RURes_subjectOfStudy)
Topic
Sample of human subjects
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Referencing a previous problem
Subject
(authority = rbdil_representations)
Topic
Mathematical expressions
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 11 of 11:
Extending ideas about generating towers 4-cubes tall selecting from green and blue cubes to towers 5-cubes tall with exactly 1 green cube and connecting to Fermat and Pascal. [video]. Retrieved from
Extending ideas about generating towers 4-cubes tall selecting from green and blue cubes to towers 5-cubes tall with exactly 1 green cube and connecting to Fermat and Pascal. [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
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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
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B06-19960327-KNWH-SV-INT-GR8-ALG-BIEX-RAW
RelatedItem
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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
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TitleInfo
Title
Robert B. Davis Institute for Learning Mathematics Education Collection
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rucore00000001201
TypeOfResource
MovingImage
Identifier
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B06B07-ALG-BIEX-CLIP011
Identifier
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http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000066060
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
(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 final clip in a series of eleven from the sixth of seven interviews, 8th grader Stephanie is challenged by researchers Carolyn Maher and Robert Speiser to extend her ideas about how to build the Unifix-cube towers across cases for towers 4-cubes tall for particular cases when selecting from blue and green cubes to towers that are 5-cubes tall. She describes how the five towers, 5-cubes tall with exactly one green cube, would generate the single tower with five blue. Researcher Speiser concludes the session by pointing out the connections between Stephanie's thinking about the towers and the mathematical thinking of both Fermat and Pascal.
The problem proposed to Stephanie is:
How could you extend your thinking about towers 4-cubes tall, selecting from blue and green cubes, to towers that are 5-cubes tall?
The problem proposed to Stephanie is:
How could you extend your thinking about towers 4-cubes tall, selecting from blue and green cubes, to towers that are 5-cubes tall?
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Extent
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1
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Place
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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 11 of 11: Extending ideas about generating towers 4-cubes tall selecting from green and blue cubes to towers 5-cubes tall with exactly 1 green cube and connecting to Fermat and Pascal.
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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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
(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 11 of 11:
Extending ideas about generating towers 4-cubes tall selecting from green and blue cubes to towers 5-cubes tall with exactly 1 green cube and connecting to Fermat and Pascal
Extending ideas about generating towers 4-cubes tall selecting from green and blue cubes to towers 5-cubes tall with exactly 1 green cube and connecting to Fermat and Pascal
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doi:10.7282/T36D5RSD
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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
00:06:02
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