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Introducing fraction equivalence and an exploration of fraction comparison, Clip 3 of 4: Proportional Reasoning Continued [video]. Retrieved from https://doi.org/doi:10.7282/T3348JTT

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TitleIntroducing fraction equivalence and an exploration of fraction comparison, Clip 3 of 4: Proportional Reasoning Continued
PublisherNew Brunswick, NJ: Robert B. Davis Institute for learning, 1993, c1993-09-27
Persistent URLhttps://doi.org/doi:10.7282/T3348JTT
DescriptionThe students work on the task: If the orange rod is called fifty, what number name would I give the white rod? Sarah and Beth offer an answer immediately, and are questioned by researcher Amy Martino about the process they used to arrive at their solution. David and Meredith use division to solve the problem, and Laura and Jessica explain that they used trial and error to find the correct number name. Brian suggested an alternative number name and attempted to justify his solution. Then, the class discussed the solution, and several students offered justifications.
Math ToolCuisenaire rods
Math StrandFractions
Math ProblemFraction as number
NCTM Grade Range3-5
NCTM Content StandardNumber and operations
NCTM Process StandardProblem solving, Reasoning and proof, Communication, Connections, Representation
Forms of Reasoning, Strategies and HeuristicsDirect reasoning, Indirect reasoning, Reasoning by contradiction, Guessing and checking, Reasoning by analogy
Grade Level4
Student ParticipantsBeth (student), Brian F. (Colts Neck, student), David (student), Jessica (student), Laura (student), Meredith (student), Michael (Colts Neck, student), Sarah (student)
MediatorsMartino, Amy (Researcher), Phillips, Joan (Teacher)
CorporateConover Road (Colts Neck, N.J.)
SettingClassroom
Student GenderMixed
Student EthnicityWhite
Camera ViewsClassroom view, Side view, Presentation view
RightsThe 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.
Date Captured1993-09-27
Local IdentifierA37A38A39-FRC-CMPRF-CLIP003
Related Publication
   Type: Related publication
   Label: Ed. D. dissertation references the video footage that includes Introducing fraction equivalence and an exploration of fraction comparison, Clip 3 of 4: Proportional Reasoning Continued
   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: Development of mathematical reasoning in elementary school students' exploration of fraction ideas
   Reference: http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000054787
Related Publication
   Type: Related publication
   Label: Ed. D. dissertation references the video footage that includes Introducing fraction equivalence and an exploration of fraction comparison, Clip 3 of 4: Proportional Reasoning Continued
   Date: 2001-05-01
   Author: Steencken, Elena Perrone
   Name: Tracing the growth in understanding of fraction ideas : a fourth grade study
   Reference: http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000055125
Source
   Title: A37, Introducing Fraction Equivalence and an Exploration of Fraction Comparison (Side View), raw footage
   Identifier: A37-19930927-CNCR-SV-CLASS-GR4-FRC-CMPRF-RAW
Source
   Title: A38, Introducing Fraction Equivalence and an Exploration of Fraction Comparison (Classroom View), raw footage
   Identifier: A38-19930927-CNCR-FV-CLASS-GR4-FRC-CMPRF-RAW
Source
   Title: A39, Introducing Fraction Equivalence and an Exploration of Fraction Comparison (Presentation View), raw footage
   Identifier: A39-19930927-CNCR-PV-CLASS-GR4-FRC-CMPRF-RAW