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Comparing fractions and evaluating models that represent solutions, Clip 8 of 8: Comparing one half and one fourth, multiple models

Descriptive

TypeOfResource
MovingImage
Genre (authority = RURes_Genre)
Research data
Genre (authority = RURes_dataGenre)
Observational data
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Edited data
Genre (authority = RURes_dataLifecycle)
Repurposed data
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Longitudinal data
Genre (authority = RURes_dataCollectionSetting)
School
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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)
Danielle (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Gregory (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Andrew (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Alan (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Erik (student)
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Name (authority = RBDIL_personal)
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David (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)
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Communication
Subject (authority = NCTM Process)
Topic
Connections
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Representation
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Topic
4
Subject (authority = rbdil_mathStrand)
Topic
Fractions
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Classroom
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Public school
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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_mathProblem)
Topic
Fraction as number
Subject (authority = rbdil_mathProblem)
Topic
Comparing fractions
Subject (authority = rbdil_mathTools)
Topic
Cuisenaire rods
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Direct reasoning
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Generic reasoning
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Recursive reasoning
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Indirect reasoning
Subject (authority = rbdil_representations)
Topic
Physical models
Subject (authority = rbdil_topic)
Topic
Operations with fractions
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)
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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). Comparing fractions and evaluating models that represent solutions, Clip 8 of 8: Comparing one half and one fourth, multiple models [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)
1993-10-01
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
Tracing the growth in understanding of fraction ideas : a fourth grade study / by Elena Perrone Steencken
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http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000055125
RelatedItem (type = host)
TitleInfo
Title
A83, Comparing fractions and evaluating models that represent solutions (classroom view), Grade 4, October 1, 1993, raw footage.
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A83-19931001-CNCR-CV-CLASS-GR4-FRC-CMPRF-RAW
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TitleInfo
Title
A84, Comparing fractions and evaluating models that represent solutions (presentation view), Grade 4, October 1, 1993, raw footage.
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A84-19931001-CNCR-PV-CLASS-GR4-FRC-CMPRF-RAW
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TitleInfo
Title
A85, Comparing fractions and evaluating models that represent solutions (side view), Grade 4, October 1, 1993, raw footage.
Identifier (type = rbdil)
A85-19931001-CNCR-SIV-CLASS-GR4-FRC-CMPRF-RAW
Extension
DescriptiveEvent
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Related publication
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Ed.D. dissertation references the video footage that includes Comparing fractions and evaluating models that represent solutions, Clip 8 of 8: Comparing one half and one fourth, multiple models
Place
Rutgers, the State University of New Jersey, New Brunswick, NJ
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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
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Role
Author
Name
Steencken, Elena Perrone
Affiliation
Rutgers, the State University of New Jersey
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Dissertation
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References
Name
Tracing the growth in understanding of fraction ideas
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000055125
Reference
http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000055125
Detail
Dissertation available in digital format in the Rutgers University Libraries' dissertation collection.
Type
Related publication
Label
Ed.D. dissertation references the video footage that includes Comparing fractions and evaluating models that represent solutions, Clip 8 of 8: Comparing one half and one fourth, multiple models
Place
Rutgers, the State University of New Jersey, New Brunswick, NJ
DateTime (encoding = w3cdtf); (qualifier = exact)
2001
Identifier (type = rbdil)
A83A84A85-FRC-CMPRF-CLIP008
TitleInfo
Title
Comparing fractions and evaluating models that represent solutions, Clip 8 of 8: Comparing one half and one fourth, multiple models
Abstract (type = summary)
Danielle and Gregory presented their model to represent the solution to the problem: Which is larger one half or one fourth and by how much. They built a model of an orange and dark green train, two brown rods, and four purple rods. Danielle explained that if one half, or the brown rod, was compared with one fourth, or the purple rod, it was larger by one purple rod, or one fourth. Andrew presented a fourth model. Using a purple rod, two red rods, and four white rods, he reasoned directly that one half was larger than one fourth by one fourth. He then said that he thought the solution would always be one fourth. Researcher Carolyn Maher asked him why he thought that. Andrew said that all the models that had been built always had the room for one more fourth and that two fourths equaled one half. As he spoke, he showed that on his model, two white rods equaled the length of the red rod. Erik and Alan then presented their method of building models to represent the solution. Erik explained that if the length of two white rods were subtracted from the length of the rod used previously, a model for the problem could be built. Alan and Erik displayed their work on the overhead. Andrew then challenged the validity of their models, saying that that they didn’t show halves on their model. Erik replied that he thought that other students had already shown the difference between one half and one fourth, and they were simply presenting a method of finding models. The researcher then closed the session by asking the students to think about whether it is possible to build more than six models using the rods that they had.
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000067446
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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/T3CR5RZN
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Rights

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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.
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

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Videotape
Format
S-VHS
Gauge
1/2-inch
Duration
00:08:53
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