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Building large models to show equivalence, a generalization, Clip 2 of 3: Brian's conjecture

Descriptive

TypeOfResource
MovingImage
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_researchDataType)
Longitudinal data
Genre (authority = RURes_dataCollectionSetting)
School
Genre (authority = RURes_researchMethodology)
Qualitative research
Genre (authority = RURes_qualitativeMethod)
Educational interventions (large group)
Subject
Name (authority = RBDIL_corporate)
NamePart (type = corporate)
Conover Road (Colts Neck, N.J.)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Alan (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Andrew (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Beth (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Brian F. (Colts Neck, student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
David (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Erik (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Jacquelyn (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
James (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Michael (Colts Neck, student)
Subject (authority = RURes_subjectOfStudy)
Topic
Sample of human subjects
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 = Grade range)
Topic
3-5
Subject (authority = NCTM Content)
Topic
Number and operations
Subject (authority = NCTM Process)
Topic
Problem solving
Subject (authority = NCTM Process)
Topic
Reasoning and proof
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Communication
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Connections
Subject (authority = NCTM Process)
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Representation
Subject (authority = rbdil_gradeLevel)
Topic
4
Subject (authority = rbdil_mathStrand)
Topic
Fractions
Subject (authority = rbdil_setting)
Topic
Classroom
Subject (authority = rbdil_schoolType)
Topic
Public school
Subject (authority = rbdil_studentGender)
Topic
Mixed
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White
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Classroom view
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Presentation view
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Side view
Subject (authority = LCSH)
Topic
Manipulatives (Education)--Case studies
Subject (authority = rbdil_topic)
Topic
Operations with fractions
Subject (authority = rbdil_mathTools)
Topic
Cuisenaire rods
Subject (authority = rbdil_mathProblem)
Topic
Fraction as number
Subject (authority = rbdil_mathProblem)
Topic
Comparing fractions
Subject (authority = rbdil_mathProblem)
Topic
Equivalent fractions
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Direct reasoning
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Reasoning by upper and lower bounds
Subject (authority = rbdil_representations)
Topic
Physical models
Subject (authority = rbdil_district)
Geographic
Colts Neck Township Schools
Subject
HierarchicalGeographic
Country
UNITED STATES
State
New Jersey
County
Monmouth County
City
Colts Neck (N.J. : Township)
Classification (authority = RUresearch); (edition = Data)
PhysicalDescription
Extent (unit = digital file(s))
1
InternetMediaType
video/x-flv
TargetAudience (authority = RURes_discipline)
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. (1993). Building large models to show equivalence, a generalization, Clip 2 of 3: Brian's conjecture [video]. Retrieved from
Name (type = personal)
NamePart (type = family)
Maher
NamePart (type = given)
Carolyn Alexander
Role
RoleTerm (authority = marcrelator); (type = text)
Researcher
Affiliation
Rutgers, the State University of New Jersey
OriginInfo
Place
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New Brunswick, NJ
Publisher
Robert B. Davis Institute for Learning
CopyrightDate (encoding = w3cdtf); (qualifier = exact)
1993-10-11
RelatedItem (type = is referenced by)
TitleInfo
Title
The development of mathematical reasoning in elementary school students' exploration of fraction ideas / by Dina Yankelewitz
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000054787
RelatedItem (type = is referenced by)
TitleInfo
Title
A study of fourth-grade students' explorations into comparing fractions / by Suzanne Loveridge Reynolds
Identifier (type = lccn)
QA.R465 2005
RelatedItem (type = host)
TitleInfo
Title
A94, Building large models to show equivalence, a generalization (classroom view), Grade 4, October 11, 1993, raw footage.
Identifier (type = rbdil)
A94-19931011-CNCR-CV-CLASS-GR4-FRC-CMPRF-RAW
RelatedItem (type = host)
TitleInfo
Title
A95, Building large models to show equivalence, a generalization (presentation view), Grade 4, October 11, 1993, raw footage.
Identifier (type = rbdil)
A95-19931011-CNCR-PV-CLASS-GR4-FRC-CMPRF-RAW
RelatedItem (type = host)
TitleInfo
Title
A96, Building large models to show equivalence, a generalization (side view), Grade 4, October 11, 1993, raw footage.
Identifier (type = rbdil)
A96-19931011-CNCR-SIV-CLASS-GR4-FRC-CMPRF-RAW
Extension
DescriptiveEvent
Type
Related publication
Label
Ed.D. dissertation references the video footage that includes Building large models to show equivalence, a generalization, Clip 2 of 3: Brian's conjecture
Place
Rutgers, the State University of New Jersey, New Brunswick, NJ
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Role
Author
Name
Yankelewitz, Dina
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Rutgers, the State University of New Jersey
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Dissertation
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References
Name
The development of mathematical reasoning in elementary school students' exploration of fraction ideas
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000054787
Reference
http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000054787
Detail
Dissertation available in digital format in the Rutgers University Libraries' dissertation collection.
DateTime (encoding = w3cdtf); (qualifier = exact)
2009
Extension
DescriptiveEvent
Type
Related publication
Label
Ed.D. dissertation references the video footage that includes Building large models to show equivalence, a generalization, Clip 2 of 3: Brian's conjecture
Place
Rutgers, the State University of New Jersey, New Brunswick, NJ
DateTime (encoding = w3cdtf); (qualifier = exact)
2008
AssociatedEntity
Role
Author
Name
Reynolds, Suzanne Loveridge
Affiliation
Rutgers, the State University of New Jersey
AssociatedObject
Type
Dissertation
Relationship
References
Name
A study of fourth-grade students' explorations into comparing fractions
Identifier (type = lccn)
QA.R465 2005
Reference (type = physical)
QA.R465 2005
Detail
Dissertation is available in paper format in the Rutgers University Libraries' dissertation collection.
Identifier (type = rbdil)
A94A95A96-FRC-CMPRF-CLIP002
TitleInfo
Title
Building large models to show equivalence, a generalization, Clip 2 of 3: Brian's conjecture
Abstract (type = summary)
In the second clip, researcher Carolyn Maher asked the students what the model that was next in size would look like. Brian said that it would equal the length of twenty-four white rods. The researcher asked what the white rod would be called in that model. Michael conjectured that it would be one twelfth, but did not explain why he thought so. Meanwhile Brian concluded that it would be one twenty-fourth. Alan and Erik said that they had built that model, and proceeded to build it on the overhead using a train of two oranges and a purple rod as one. The researcher asked the students what the white rod would be called in Erik and Alan’s model. The students answered that it would be called one twenty-fourth. She also asked them how that model can be used to solve the original problem that had been posed. Erik and Alan showed directly that the difference between two thirds and three quarters in this model was equal in length to a red rod or two white rods, and that the solution to the problem was one twelfth or two twenty-fourths. Amy then suggested, that purple rods could be placed on the model to show one sixth. Andrew, Erik, and Alan challenged Amy, asking her why the purples would be necessary on this model. Erik asked her why they would be necessary, since the solution was one twelfths and the purple would be too big. The researcher suggested that perhaps Amy was answering a different question, and saying that there were other ways to make trains. The researcher then said that she could ask the students to compare one sixth or three quarters, and Erik and Alan conceded that it would then be necessary to show sixths in the model.
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000067469
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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 (authority = marcorg); (displayLabel = Rutgers University. Libraries)
NjR
Identifier (type = doi)
doi:10.7282/T39K48TB
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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.
RightsEvent
Type
Permission or license
Label
Non-exclusive license to share the video presentation via RUcore.
Place
New Brunswick, NJ
DateTime
11/3/2009
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
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
2009-11-03
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Source

SourceTechnical
SourceType
Videotape
Format
S-VHS
Gauge
1/2-inch
Duration
00:08:07
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Technical

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