A32, Fraction problems: Sharing and Number Lines (front view), Grade 4, October 29, 1993, raw footage
Descriptive
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MovingImage
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Research data
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Observational data
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Raw data
Genre
(authority = RURes_dataLifecycle)
Repurposed data
Genre
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Educational interventions (large group)
Genre
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Longitudinal data
Genre
(authority = RURes_researchMethodology)
Qualitative research
Subject
Name
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NamePart
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Alan (student)
Subject
Name
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NamePart
(type = personal)
Andrew (student)
Subject
Name
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NamePart
(type = personal)
Audra (student)
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Beth (student)
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Brian F. (Colts Neck, student)
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Caitlin (student)
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David (student)
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Name
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Brian C. (Colts Neck, student)
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Erin (student)
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Graham (student)
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Gregory (student)
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Jackie (student)
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James (student)
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Jessica (student)
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Kelly (student)
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Laura (student)
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Mark (student)
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Meredith (student)
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Michael (Colts Neck, student)
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Name
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Sarah (student)
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Conover Road (Colts Neck, N.J.)
Subject
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Topic
Sample of human subjects
Subject
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Topic
Mathematics education
Subject
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Learning, Psychology of--Case studies
Subject
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Critical thinking in children--New Jersey--Case studies
Subject
(authority = Grade range)
Subject
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Topic
Number and operations
Subject
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Subject
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Reasoning and proof
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Topic
Manipulatives (Education)--Case studies
Subject
(authority = NCTM Content)
Subject
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Subject
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Topic
Comparing fractions
Subject
(authority = rbdil_mathProblem)
Subject
(authority = rbdil_mathProblem)
Topic
Placing fractions on a number line
Subject
(authority = rbdil_mathTools)
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
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
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Subject
(authority = rbdil_representations)
Subject
(authority = rbdil_representations)
TargetAudience
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Social science
TargetAudience
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Mathematics education
Name
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NamePart
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Maher
NamePart
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Carolyn Alexander
Affiliation
Rutgers, the State University of New Jersey
Role
RoleTerm
(type = text);
(authority = marcrelator)
Researcher
Name
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NamePart
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Phillips
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Joan
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Teacher
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Davis
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Robert B. (Robert Benjamin)
Affiliation
Rutgers, the State University of New Jersey
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RoleTerm
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Researcher
Name
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NamePart
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Gjone
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Gunnar
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Researcher
RelatedItem
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TitleInfo
Title
A33, Fraction problems: Sharing and Number Lines (side view), Grade 4, October 29, 1993, raw footage
Identifier
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A33-19931029-CNCR-SIV-CLASS-GR4-FRC-CMPRF-RAW
RelatedItem
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TitleInfo
Title
Fraction problems, Sharing and number lines, Clip 1 of 3: Sharing candy bars, Introducing the problem
Identifier
(type = rbdil)
A32A33A34-FRC-CMPRF-CLIP001
RelatedItem
(type = is referenced by)
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#sthash.GokJ943B.dpuf
RelatedItem
(type = is referenced by)
TitleInfo
Title
Tracing students' growing understanding of rational numbers / by Suzanna E. Schmeelk
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.2/rucore10001500001.ETD.000052898
RelatedItem
(type = is associated with)
TitleInfo
Title
A34, Fraction problems: Sharing and Number Lines (presentation view), Grade 4, October 29, 1993, raw footage
Identifier
(type = rbdil)
A34-19931029-CNCR-PV-CLASS-GR4-FRC-CMPRF-RAW
RelatedItem
(type = constituent)
TitleInfo
Title
Fraction problems, Sharing and number lines, Clip 2 of 3: That's gorgeous!
Identifier
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A32A33A34-FRC-CMPRF-CLIP002
RelatedItem
(type = constituent)
TitleInfo
Title
Fraction problems, Sharing and number lines, Clip 3 of 3: Sharing strategies
Identifier
(type = rbdil)
A32A33A34-FRC-CMPRF-CLIP003
Subject
(authority = rbdil_district)
Geographic
Colts Neck Township Schools
Subject
HierarchicalGeographic
City
Colts Neck (N.J. : Township)
Classification
(authority = RUresearch);
(edition = Data)
Abstract
(type = summary)
In this raw footage, full-session video, Dr. Davis first introduces Gunnar Gjone as a visiting mathematics educator from Norway. The researcher, Carolyn Maher, begins the session 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
InternetMediaType
video/x-flv
Note
(type = APA citation)
Robert B. Davis Institute for Learning. (1993). A32, Fraction problems: Sharing and Number Lines (front view), Grade 4, October 29, 1993, raw footage [video]. Retrieved from
OriginInfo
Place
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New Brunswick, NJ
Publisher
Robert B. Davis Institute for Learning
CopyrightDate
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1993-10-29
DateCreated
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1993-10-29
Extension
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Type
Excerpt or clip creation
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Video clips created from video footage A32, Fraction problems: Sharing and Number Lines (front view), Grade 4, October 29, 1993, raw footage
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Name
Fraction problems, Sharing and number lines, Clip 1 of 3: Sharing candy bars, Introducing the problem
Identifier
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A32A33A34-FRC-CMPRF-CLIP001
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Name
Fraction problems, Sharing and number lines, Clip 2 of 3: That's gorgeous!
Identifier
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A32A33A34-FRC-CMPRF-CLIP002
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Fraction problems, Sharing and number lines, Clip 3 of 3: Sharing strategies
Identifier
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A32A33A34-FRC-CMPRF-CLIP003
Extension
DescriptiveEvent
Label
Ed.D. dissertation references the video footage that includes A32, Fraction problems: Sharing and Number Lines (front view), Grade 4, October 29, 1993, raw footage
Place
Rutgers, the State University of New Jersey, New Brunswick, NJ
DateTime
(point = start);
(encoding = iso8601);
(qualifier = exact)
2009
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Affiliation
Rutgers, the State University of New Jersey
AssociatedObject
Name
The development of mathematical reasoning in elementary school students' exploration of fraction ideas
Identifier
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http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000054787#sthash.GokJ943B.dpuf
Reference
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http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000054787#sthash.GokJ943B.dpuf
Extension
DescriptiveEvent
Label
Ed.D. dissertation references the video footage that includes A32, Fraction problems: Sharing and Number Lines (front view), Grade 4, October 29, 1993, raw footage
Place
Rutgers, the State University of New Jersey, New Brunswick, NJ
DateTime
(encoding = w3cdtf);
(qualifier = exact)
2010
AssociatedEntity
Name
Schmeelk, Suzanna E.
Affiliation
Rutgers, the State University of New Jersey
AssociatedObject
Name
Tracing students' growing understanding of rational numbers
Identifier
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http://hdl.rutgers.edu/1782.2/rucore10001500001.ETD.000052898
Reference
(type = digital)
http://hdl.rutgers.edu/1782.2/rucore10001500001.ETD.000052898
Detail
Dissertation available in digital format in the Rutgers University Libraries dissertation collection.
Identifier
(type = rbdil)
A32-19931029-CNCR-FV-CLASS-GR4-FRC-CMPRF-RAW
TitleInfo
Title
A32, Fraction problems: Sharing and Number Lines (front view), Grade 4, October 29, 1993, raw footage
Note
(type = supplementary materials)
A transcript is also available.
RelatedItem
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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
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NjR
Identifier
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doi:10.7282/T32N547Z
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