RUcore: Rutgers University Community Repository
Comparing fractions and evaluating models that represent solutions, Clip 5 of 8: Small group work, comparing one half and one fourth
Descriptive
TypeOfResource
MovingImage
Genre
(authority = RURes_Genre)
Research data
Genre
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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
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Educational interventions (large group)
Subject
Name
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NamePart
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Conover Road (Colts Neck, N.J.)
Subject
Name
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NamePart
(type = personal)
Alan (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Erik (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
Michael (Colts Neck, student)
Subject
Name
(authority = RBDIL_personal)
NamePart
Brian F. (Colts Neck, student)
Subject
Name
(authority = RBDIL_personal)
NamePart
Graham (student)
Subject
(authority = RURes_subjectOfStudy)
Topic
Sample of human subjects
Subject
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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
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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)
Topic
Connections
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(authority = NCTM Process)
Topic
Representation
Subject
(authority = rbdil_gradeLevel)
Topic
4
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Topic
Fractions
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Classroom
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Public school
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Male
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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
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(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Recursive reasoning
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(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
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1
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video/x-flv
TargetAudience
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Social science
TargetAudience
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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 5 of 8: Small group work, comparing one half and one fourth [video]. Retrieved from
Name
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NamePart
(type = family)
Maher
NamePart
(type = given)
Carolyn Alexander
Role
RoleTerm
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Researcher
Affiliation
Rutgers, the State University of New Jersey
Name
(type = personal)
NamePart
(type = family)
Davis
NamePart
(type = given)
Robert B. (Robert Benjamin)
Affiliation
Rutgers, the State University of New Jersey
Role
RoleTerm
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(type = text)
Researcher
OriginInfo
Place
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New Brunswick, NJ
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Robert B. Davis Institute for Learning
CopyrightDate
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1993-10-01
RelatedItem
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TitleInfo
Title
The development of mathematical reasoning in elementary school students' exploration of fraction ideas / by Dina Yankelewitz
Identifier
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http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000054787
RelatedItem
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TitleInfo
Title
Tracing the growth in understanding of fraction ideas : a fourth grade study / by Elena Perrone Steencken
Identifier
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http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000055125
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TitleInfo
Title
A83, Comparing fractions and evaluating models that represent solutions (classroom view), Grade 4, October 1, 1993, raw footage.
Identifier
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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
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A85-19931001-CNCR-SIV-CLASS-GR4-FRC-CMPRF-RAW
Extension
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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 5 of 8: Small group work, comparing one half and one fourth
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Rutgers, the State University of New Jersey, New Brunswick, NJ
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Role
Author
Name
Yankelewitz, Dina
Affiliation
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
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2009
Extension
DescriptiveEvent
AssociatedEntity
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 5 of 8: Small group work, comparing one half and one fourth
Place
Rutgers, the State University of New Jersey, New Brunswick, NJ
DateTime
(encoding = w3cdtf);
(qualifier = exact)
2001
Identifier
(type = rbdil)
A83A84A85-FRC-CMPRF-CLIP005
Abstract
(type = summary)
In clip 5, researcher Carolyn Maher then asked the students to compare one half and one quarter and determine the difference between the two. The students worked in their groups to build models that would help them solve the problem. Erik and Alan worked together to find a model that would show the difference between one half and one fourth. Alan built a model and concluded that one half is bigger than one quarter by one quarter. Michael and Brian each built a model of two dark green and four light green rods. Brian exclaimed that it’s not bigger and Michael said that he knew why one fourth was not bigger than one half. He explained that one half has a two in the denominator and one quarter has four as the bottom number and that it would therefore take two dark greens and four light green rods. Michael used reasoning to explain why one fourth is smaller than one half. Brian said that he had never thought of it in that way. Then, Brian asked him to re-explain. Michael used his written notation for one half and one quarter and re-explained it to him.
Graham, whose partner was not present, spoke with the researcher about the solution to the problem. Using the same model as Michael and Brian, he explained directly, upon questioning, that one half was larger than one quarter by one quarter. Alan then built another model that showed the difference between one half and one quarter. He used two orange rods and four yellow rods, and concluded that one could “quarter a train of orange rods”. Erik then tried to build a model using the two brown rods. He found that that model could also be built to show fourths, and told Alan that they could keep going down by two, indicating: “Brown, you minus two, take that rod, and you can quarter that one. Brown, black then dark green!” Erik reasoned to find models that could show halves and quarters. Alan explained their method to the researcher, who asked them to repeat it to researcher Robert B. Davis.
Graham, whose partner was not present, spoke with the researcher about the solution to the problem. Using the same model as Michael and Brian, he explained directly, upon questioning, that one half was larger than one quarter by one quarter. Alan then built another model that showed the difference between one half and one quarter. He used two orange rods and four yellow rods, and concluded that one could “quarter a train of orange rods”. Erik then tried to build a model using the two brown rods. He found that that model could also be built to show fourths, and told Alan that they could keep going down by two, indicating: “Brown, you minus two, take that rod, and you can quarter that one. Brown, black then dark green!” Erik reasoned to find models that could show halves and quarters. Alan explained their method to the researcher, who asked them to repeat it to researcher Robert B. Davis.
TitleInfo
Title
Comparing fractions and evaluating models that represent solutions, Clip 5 of 8: Small group work, comparing one half and one fourth
Identifier
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http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000067443
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Robert B. Davis Institute for Learning Mathematics Education Collection
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rucore00000001201
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Identifier
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doi:10.7282/T30K274D
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Rights
RightsDeclaration
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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
10 Seminary Place
New Brunswick, NJ 08901-1183
ContactInformationDate
2009-11-03
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Statistical Profile