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Fractions, Grade 4, Clip 1 of 4: David's upper and lower bound argument
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Fractions, Grade 4, Clip 1 of 4: David's upper and lower bound argument [video]. Retrieved from https://doi.org/doi:10.7282/T3ZP45ZT

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TitleFractions, Grade 4, Clip 1 of 4: David's upper and lower bound argument
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, , c1993-09-21
Persistent URLhttps://doi.org/doi:10.7282/T3ZP45ZT
DescriptionDuring this clip, the students discuss a task that had been posed by Erik: If I call the blue rod one, what rod will I call one half? A lively discussion centering on the definition of one half ensued. David offered an argument to justify why no such rod could be found, which was countered by a suggestion from Erik, and Jessica, David, Andrew, and Alan provided counterarguments to Erik's suggestion. The researcher then asked Erik questions about his suggestion, and Kimberly offered another counterargument to Erik's claim. Finally, David offered another justification of his original solution.
Math ToolCuisenaire rods
Math StrandFractions
Math ProblemFraction as number
NCTM Grade Range3-5
NCTM Content StandardNumber and operations
NCTM Process StandardReasoning and proof, Communication, Connections, Representation, Problem solving
Forms of Reasoning, Strategies and HeuristicsDirect reasoning, Indirect reasoning, Inductive reasoning, Reasoning by cases, Reasoning by upper and lower bounds, Reasoning by contradiction, Reasoning by analogy, Generic reasoning
Grade Level4
Student ParticipantsAlan (student), Andrew (student), Brian F. (Colts Neck, student), David (student), Erik (student), Jessica (student), Kimberly (student)
MediatorsMaher, Carolyn Alexander (Researcher), Martino, Amy (Researcher), Phillips, Joan (Teacher)
CorporateConover Road (Colts Neck, N.J.)
SettingClassroom
Student GenderMixed
Student EthnicityWhite
Camera ViewsClassroom view, Presentation view, Student view
RightsThis video is protected by copyright.  It is available for viewing 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.
Date Captured1993-09-21
Local IdentifierA40A41A42-FRC-CMPRF-CLIP001
Related Publication
   Type: Dissertation
   Label: Ed.D. dissertation references the video footage that includes Fractions, Grade 4, Clip 1 of 4: David's upper and lower bound argument
   Date: 2009-05-01
   Detail: Dissertation available in digital and paper formats in the Rutgers University Libraries dissertation collection.
   Author: Yankelewitz, Dina (Rutgers Graduate School of Education)

   Name: The Development of mathematical reasoning in elementary school students' exploration of fraction ideas
Related Publication
   Type: Dissertation
   Label: Ed.D. dissertation references the video footage that includes Fractions, Grade 4, Clip 1 of 4: David's upper and lower bound argument
   Date: 2001-05-01
   Detail: Available in paper form in the Rutgers University Libraries dissertation collection.
   Author: Steencken, Elena Perrone (Rutgers Graduate School of Education)

   Name: Tracing the growth in understanding of fraction ideas : a fourth grade study
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