RUcore: Rutgers University Community Repository
Fractions, Grade 4, Clip 2 of 4: Additive vs. multiplicative reasoning
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Fractions, Grade 4, Clip 2 of 4: Additive vs. multiplicative reasoning
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A40A41A42-FRC-CMPRF-CLIP002
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English
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Research data
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Action research
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Direct observation
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Educational interventions (large group)
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Alan (student)
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Brian F. (Colts Neck, student)
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Brian C. (Colts Neck, student)
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Conover Road (Colts Neck, N.J.)
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Learning, Psychology of--Case studies
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3-5
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Fractions
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Fraction as number
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Cuisenaire rods
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4
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Colts Neck Township Schools
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UNITED STATES
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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.
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Education
Note
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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
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Available in QuickTime streaming and downloadable Flash digital video files.
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Maher
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Carolyn Alexander
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New Brunswick, NJ
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Robert B. Davis Institute for learning
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1993-09-21
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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 the growth in understanding of fraction ideas : a fourth grade study / by Elena Perrone Steencken
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Dissertation available in paper format in the Rutgers University Libraries dissertation collection.
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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.
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Robert B. Davis Institute for Learning
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732-932-7496, ext. 8262
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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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New Brunswick, NJ
DateTime
2009-11-03
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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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Name
Maher, Carolyn A.
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Director, Robert B. Davis Institute for Learning, Rutgers Graduate School of Education
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