Staff View
A31, Fraction problems, Sharing and number lines (Overhead/Class view), Grade 4, November 1, 1993, raw footage

Descriptive

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Research data
Genre (authority = RURes_dataGenre)
Observational data
Genre (authority = RURes_dataLifecycle)
Raw data
Genre (authority = RURes_qualitativeMethod)
Educational interventions (large group)
Genre (authority = RURes_researchDataType)
Longitudinal data
Genre (authority = RURes_researchMethodology)
Qualitative research
Genre (authority = RURes_dataCollectionSetting)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Graham (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
James (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Brian C. (Colts Neck, student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Meredith (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Erik (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Andrew (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Jessica (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = corporate)
Jacquelyn (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Kimberly (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Sarah (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
David (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Michael (Colts Neck, student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Alan (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Danielle (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Mark (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Audra (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)
Caitlin (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Erin (student)
Subject
Name (authority = RBDIL_personal)
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Gregory (student)
Subject
Name (authority = RBDIL_personal)
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Jackie (student)
Subject
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Kelly (student)
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Name (authority = RBDIL_personal)
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Laura (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Sarah (student)
Subject
Name (authority = RBDIL_corporate)
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Conover Road (Colts Neck, N.J.)
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MovingImage
Identifier (type = rbdil)
A31-19931101-CNCR-PV-CLASS-GR4-FRC-CMPRF-RAW
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000068383
Subject (authority = Grade range)
Topic
3-5
Subject (authority = LCSH)
Topic
Mathematics education
Subject (authority = LCSH)
Topic
Manipulatives (Education)--Case studies
Subject (authority = LCSH)
Topic
Learning, Psychology of--Case studies
Subject (authority = NCTM Content)
Topic
Number and operations
Subject (authority = NCTM Content)
Topic
Measurement
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_cameraView)
Topic
Presentation view
Subject (authority = rbdil_mathStrand)
Topic
Fractions
Subject (authority = rbdil_mathProblem)
Topic
Comparing fractions
Subject (authority = rbdil_mathProblem)
Topic
Sharing candy bars
Subject (authority = rbdil_mathProblem)
Topic
Placing fractions on a number line
Subject (authority = rbdil_mathTools)
Topic
Cuisenaire rods
Subject (authority = rbdil_setting)
Topic
Classroom
Subject (authority = rbdil_gradeLevel)
Topic
4
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Direct reasoning
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Referencing a previous problem
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Reasoning by analogy
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Proportional reasoning
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Considering a simpler problem
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Recognizing a pattern
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Recognizing equivalence
Subject (authority = rbdil_representations)
Topic
Number lines
Subject (authority = rbdil_representations)
Topic
Drawings
Subject (authority = rbdil_representations)
Topic
Physical models
Subject (authority = rbdil_studentGender)
Topic
Mixed
Subject (authority = rbdil_studentEthnicity)
Topic
White
Subject (authority = rbdil_schoolType)
Topic
Public school
Subject (authority = RURes_subjectOfStudy)
Topic
Sample of human subjects
Subject (authority = rbdil_cameraView)
Topic
Classroom view
Classification (authority = RUresearch); (edition = Data)
TargetAudience (authority = RURes_discipline)
Social science
TargetAudience (authority = RURes_domain)
Mathematics education
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)
Davis
NamePart (type = given)
Robert B. (Robert Benjamin)
NamePart (type = date)
1926-
Role
RoleTerm (authority = marcrelator); (type = text)
Researcher
Name (type = personal)
NamePart (type = family)
Gjone
NamePart (type = given)
Gunnar
Role
RoleTerm (authority = marcrelator); (type = text)
Researcher
Name (type = personal)
NamePart (type = family)
Phillips
NamePart (type = given)
Joan
Role
RoleTerm (authority = marcrelator); (type = text)
Teacher
Abstract (type = summary)
This raw footage, full-session video, focuses on the overhead for the first 39 minutes and then on the class as they are working on the problems. Dr. Davis introduces Gunnar Gjone as a visiting mathematics educator from Norway. The researcher, Carolyn Maher, begins by asking the students to review their conclusions from the previous day’s class when they were asked to share a candy bar equally among the students in their small group. Two groups had been composed of eight students while another was composed of nine students, and their task had been to determine how much more candy each person in the smaller group would receive than those in the larger group, which they agreed to be the difference between 1/4 and 1/9, after dividing each candy bar into 10 equal pieces. Based on Cuisenaire Rod models, the students concluded that the difference was 5/36. However, a number of students, including Meredith, still argued that the difference should be 1/5. After the class agrees that 5/36 is the difference, Jessica contends that the earlier distribution was not equitable. Andrew suggests that the 3 candy bars could be divided into 30 rectangular pieces (10 per candy bar) and shared evenly among all 25 students by having each student get one whole rectangular piece and 1/5 of one of the remaining 5 rectangular pieces. A whole-class discussion follows in which the students are asked to compare and order 1/2, 1/3, 1/4 and 1/5. David shares his solutions based on building models with Cuisenaire rods. Various students mark positions for each of these fractions, and also 1/10, on a number line segment from 0 to 1, drawn on an overhead transparency.The class is then asked to work in pairs to produce number line segments and mark the positions of unit fractions from 1/2 to 1/10 and also 1/100 and 1/1000. Several of the students, including Andrew and Jessica, located 1/3 at two different points on their number line. In a final class discussion, Alan shares his number line, which includes 1/100 and 1/1000, and contends that there could be three points for 1/3. The students discuss this and conclude that the same point on the line segment cannot be named both 1/3 and 2/3 or 1/3 and 3/3 although it is appropriate to name the same point 3/3 and 1.
PhysicalDescription
Extent (unit = digital file(s))
1
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video/x-flv
Note (type = supplementary materials)
Transcript is also available.
Note (type = APA citation)
Robert B. Davis Institute for Learning. (1993). A31, Fraction problems, Sharing and Number Lines (Overhead/Class View), grade 4, November 1, 1993, raw footage. [video]. Retrieved from http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000068383.
OriginInfo
Place
PlaceTerm (type = text)
New Brunswick, NJ
DateIssued (encoding = iso8601); (point = start); (qualifier = exact)
1993-11-01
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1993-11-01
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TitleInfo
Title
Fraction problems, Sharing and Number Lines, Clip 1 of 5: Which is more, 1/4th or 1/9th of a candy bar? How much more?
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http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000055288
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TitleInfo
Title
Fraction problems, Sharing and Number Lines, Clip 3 of 5: Comparing unit fractions
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http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000055290
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Title
Fraction problems, Sharing and Number Lines, Clip 4 of 5: Jessica and Andrew's Number Line
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http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000055291
RelatedItem (type = is referenced by)
TitleInfo
Title
The development of mathematical reasoning in elementary school students' exploration of fraction ideas / by Dina Yankelewitz
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http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000054787
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Tracing students' growing understanding of rational numbers [electronic resource] / by Suzanna E. Schmeelk.
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http://hdl.rutgers.edu/1782.2/rucore10001500001.ETD.000052898
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Fraction problems, Sharing and Number Lines, Clip 5 of 5: Placing fractions on the number line
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http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000055292
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Robert B. Davis Institute for Learning Mathematics Education Collection
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rucore00000001201
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Video clips created from the video footage A29, Fraction problems: Sharing and Number Lines (Class View), grade 4, November 1, 1993, raw footage
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New Brunswick, NJ
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2011
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Fraction problems, Sharing and Number Lines, Clip 1 of 5: Which is more, 1/4th or 1/9th of a candy bar? How much more?
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Fraction problems, Sharing and Number Lines, Clip 3 of 5: Comparing unit fractions
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Fraction problems, Sharing and Number Lines, Clip 4 of 5: Jessica and Andrew's Number Line
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Related publication
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Ed. D. dissertation references the video footage A29, Fraction problems: Sharing and Number Lines (Class View), grade 4, November 1, 1993, raw footage
DateTime (encoding = w3cdtf); (qualifier = exact)
2009
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Yankelewitz, Dina
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The development of mathematical reasoning in elementary school students' exploration of fraction ideas
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QA .Y22 2009
Reference (type = digital)
http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000054787
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Dissertation available in digital and paper formats in the Rutgers University Libraries' dissertation collection.
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Ed. D. dissertation references the video footage A29, Fraction problems: Sharing and Number Lines (Class View), grade 4, November 1, 1993, raw footage
DateTime (encoding = iso8601); (qualifier = exact)
2010
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Schmeelk, Suzanna E.
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Tracing students' growing understanding of rational numbers
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Dissertation available in digital format in the Rutgers University Libraries' dissertation collection.
Subject (authority = rbdil_district)
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Colts Neck Township Schools
Subject
HierarchicalGeographic
Country
UNITED STATES
State
New Jersey
County
Monmouth County
City
Colts Neck (N.J. : Township)
TitleInfo
Title
A31, Fraction problems, Sharing and number lines (Overhead/Class view), Grade 4, November 1, 1993, raw footage
Location
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NjNbRU
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NjR
Identifier (type = doi)
doi:10.7282/T3GF0S5P
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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
732-932-8848
Address
Rutgers Graduate School of Education
10 Seminary Place
New Brunswick, NJ 08901-1183
ContactInformationDate
2009-11-03
RightsEvent
Type
Permission or license
Label
Non-exclusive license to share the video presentation via RUcore.
Place
New Brunswick, NJ
DateTime (point = start); (encoding = iso8601); (qualifier = exact)
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
Licensee
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
00:59:11
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Technical

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ContentModel
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PreservationLevel
full
Generation
Digital preservation master
Duration
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