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Fractions, Grade 4, Clip 2 of 4: Additive vs. multiplicative reasoning

Descriptive

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MovingImage
TitleInfo (ID = T-1)
Title
Fractions, Grade 4, Clip 2 of 4: Additive vs. multiplicative reasoning
Identifier (type = local)
A40A41A42-FRC-CMPRF-CLIP002
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000054749
Language
LanguageTerm (authority = ISO 639-3:2007)
English
Genre (authority = RURes_RUResearchGenre)
Research data
Genre (authority = RURes_DataTypeOrMethodology)
Action research
Genre (authority = RURes_DataTypeOrMethodology)
Direct observation
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Educational interventions (large group)
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Field research
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Longitudinal data
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Continuous monitoring
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Defined population
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Name (authority = RBDIL_personal)
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Alan (student)
Subject (ID = SBJ-2)
Name (authority = RBDIL_personal)
NamePart (type = personal)
Brian F. (Colts Neck, student)
Subject (ID = SBJ-3)
Name (authority = RBDIL_personal)
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Brian C. (Colts Neck, student)
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Erik (student)
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Jessica (student)
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Kimberly (student)
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Meredith (student)
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Sarah (student)
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Conover Road (Colts Neck, N.J.)
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Mathematics education
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Manipulatives (Education)--Case studies
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Learning, Psychology of--Case studies
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Topic
Critical thinking in children--New Jersey--Case studies
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Topic
3-5
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Topic
Number and operations
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Problem solving
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Topic
Reasoning and proof
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Communication
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Connections
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Representation
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Topic
Fractions
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Fraction as number
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Topic
Cuisenaire rods
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Direct reasoning
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Indirect reasoning
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Inductive reasoning
Subject (ID = SBJ-37); (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Reasoning by contradiction
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Referencing a previous problem
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Proportional reasoning
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Recognizing a pattern
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Representations
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4
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White
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Colts Neck Township Schools
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HierarchicalGeographic
Country
UNITED STATES
State
New Jersey
County
Monmouth County
City
Colts Neck (N.J. : Township)
Abstract (type = summary)
Researcher Amy Martino posed two related tasks to the students that highlighted the difference between additive and multiplicative reasoning. First, she asked the students: If we call the orange ‘two’, what can we say about yellow? After some questioning, Brian provided the number name one for the yellow rod. Then, the researcher asked: What if I change the name of the orange to ‘six’…what number name would I call the yellow? Kimberly offered the number name of five, which Alan countered. He stated that the number name for the yellow rod in this case would be three. Jessica backed his claim with a justification. Then, Kimberly explained that she had made an error and talked about what she had been thinking that had led her to that mistake. She then explained how she knew that Alan's solution was correct.
PhysicalDescription
Extent (unit = digital file(s))
1
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video/quicktime
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video/x-flv
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Education
Note (type = supplementary materials)
Transcript and student work are also available.
Note (type = APA citation)
Robert B. Davis Institute for Learning. (1993). Fractions, Grade 4, Clip 2 of 4: Additive vs. multiplicative reasoning. [video]. Retrieved from http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000054749
Note (type = available formats)
Available in QuickTime streaming and downloadable Flash digital video files.
Name (ID = NAME-1); (type = personal)
NamePart (type = family)
Maher
NamePart (type = given)
Carolyn Alexander
Role
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Researcher
Affiliation
Rutgers, the State University of New Jersey
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Martino
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Amy
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Phillips
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Joan
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Teacher
OriginInfo
Place
PlaceTerm (type = text)
New Brunswick, NJ
Publisher
Robert B. Davis Institute for learning
CopyrightDate
1993-09-21
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A40, Fractions (student view), grade 4, September 21, 1993, raw footage
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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
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Tracing the growth in understanding of fraction ideas : a fourth grade study / by Elena Perrone Steencken
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New Brunswick, NJ
Detail
Dissertation available in digital and paper formats in the Rutgers University Libraries dissertation collection.
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Dissertation available in digital and paper formats in the Rutgers University Libraries dissertation collection.
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2001-05-01
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Dissertation available in paper format in the Rutgers University Libraries dissertation collection.
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Tracing the growth in understanding of fraction ideas : a fourth grade study
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http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000055125
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Dissertation available in paper format in the Rutgers University Libraries dissertation collection.
Identifier (type = doi)
doi:10.7282/T33B5ZZH
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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.
Copyright
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Copyright protected
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Open
Reason
Permission or license
Publication
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Unpublished
RightsHolder (ID = CRH-1); (type = corporate)
Name
Robert B. Davis Institute for Learning
Role
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Telephone
732-932-7496, ext. 8262
Address
Rutgers Graduate School of Education
10 Seminary Place
New Brunswick, NJ 08901-1183
ContactInformationDate
2009-11-03
RightsEvent (ID = RE-1); (AUTHORITY = rulib)
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Non-exclusive license to share the video presentation via RUcore.
Place
New Brunswick, NJ
DateTime
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.
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Role
Licensor
Name
Maher, Carolyn A.
Affiliation
Director, Robert B. Davis Institute for Learning, Rutgers Graduate School of Education
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