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Building large models to show equivalence, an exploration, Clip 4 of 4: Testing the doubling 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)
Erik (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
David (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Meredith (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Alan (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
Subject (authority = NCTM Process)
Topic
Communication
Subject (authority = NCTM Process)
Topic
Connections
Subject (authority = NCTM Process)
Topic
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
Subject (authority = rbdil_studentEthnicity)
Topic
White
Subject (authority = rbdil_cameraView)
Topic
Classroom view
Subject (authority = rbdil_cameraView)
Topic
Side view
Subject (authority = rbdil_topic)
Topic
Operations with fractions
Subject (authority = LCSH)
Topic
Manipulatives (Education)--Case studies
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_mathTools)
Topic
Cuisenaire rods
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Direct reasoning
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 and student work are also available.
Note (type = APA citation)
Robert B. Davis Institute for Learning. (1993). Building large models to show equivalence, an exploration, Clip 4 of 4: Testing the doubling 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
Name (type = personal)
NamePart (type = family)
Phillips
NamePart (type = given)
Joan
Role
RoleTerm (authority = marcrelator); (type = text)
Teacher
OriginInfo
Place
PlaceTerm (type = text)
New Brunswick, NJ
Publisher
Robert B. Davis Institute for Learning
CopyrightDate (encoding = w3cdtf); (qualifier = exact)
1993-10-07
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
A92, Building large models to show equivalence, an exploration (classroom view), Grade 4, October 7, 1993, raw footage.
Identifier (type = rbdil)
A92-19931007-CNCR-CV-CLASS-GR4-FRC-CMPRF-RAW
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TitleInfo
Title
A93, Building large models to show equivalence, an exploration (side view), Grade 4, October 7, 1993, raw footage.
Identifier (type = rbdil)
A93-19931007-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, an exploration, Clip 4 of 4: Testing the doubling conjecture
Place
Rutgers, the State University of New Jersey, New Brunswick, NJ
AssociatedEntity
Role
Author
Name
Yankelewitz, Dina
Affiliation
Rutgers, the State University of New Jersey
AssociatedObject
Type
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, an exploration, Clip 4 of 4: Testing the doubling 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)
A92A93-FRC-CMPRF-CLIP004
Abstract (type = summary)
In the fourth clip Erik repeated the explanation of his model to the classroom teacher. His model consisted of a train of three orange and one dark green rod and lined up four blue rods. He lined up three blue rods and nine white rods against the model and showed that three white rods could be added to each blue rod to complete the third. Then, he looked at what David was doing and wondered aloud about it. Then, he remembered that David had made a conjecture, and repeated it: that the reds would be twenty fourths and the whites forty-eighths since he doubled everything. At this point, the other students understood David’s argument, and David corrected his previous statement regarding the number name for the light green rod. Erik then demolished his thirty-six centimeter model, turning to concentrate on David’s work. David then explained to classroom teacher why he had built the model and what he had found about the light green rod. David and the others then worked to perfect the model, which was comprised of the train of two blue, two, black, and two brown rods, sixteen light green rods, twenty-four red rods, and twelve purple rods. Toward the end of the session, David showed the model to the researcher Carolyn Maher. Pointing to the red rods and counting by two, David and Erik found directly that the white rods would indeed be called forty-eighths. David noted that he was surprised that the purple was one twelfth, rather than the light green. The researcher asked the students if they could think of other number names for the purple rod aside from one twelfth. David first said that it would be four twelfths, but then Erik said that it would be called four forty-eighths, since four white rods equaled the length of the purple rod. David then said that that was what he had meant. Erik then suggested that it be called two twenty-fourths. The researcher then asked if there were any other number names. Meredith proposed that it would be one sixteenth together plus one forty-eighth. The researcher asked her what number name that would be, but the session ended before they had a chance to continue this discussion. The researcher suggested that they continue to think about this question.
TitleInfo
Title
Building large models to show equivalence, an exploration, Clip 4 of 4: Testing the doubling conjecture
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000067462
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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/T3222SCM
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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
00:10:47
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Technical

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BitsPerSample
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interlaced
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