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Continuing to explore fraction comparisons, Clip 7 of 7: Erik and Alan compare two third and three fourths [video]. Retrieved from https://doi.org/doi:10.7282/T39G5KCK
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Description
TitleContinuing to explore fraction comparisons, Clip 7 of 7: Erik and Alan compare two third and three fourths
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, , c1993-10-06
Persistent URLhttps://doi.org/doi:10.7282/T39G5KCK
DescriptionIn the seventh clip, Erik and Alan worked to extend their model using the orange and red train to show fourths and halves. They concluded that three fourths was larger than two thirds by one twelfth. The visitor questioned Erik about his model. She asked Erik how much three twelfths would be equal to. Erik replied that it was equivalent to one fourth. She asked him what he could call four twelfths, and he replied that it was equivalent to one third. Alan and Erik then repeated their justification to the researcher. She encouraged them to find another model that would show the solution to the problem. After much trial and error, they built a model that was twenty-four centimeters in length, using a train of two oranges and one purple rod, four dark green rods, three brown rods, and twelve red rods. They showed the visitor that the difference between the two lengths was again one twelfth. The visitor asked them what would happen if they lined white rods against this larger model. Erik and Alan reasoned that they would be called one twenty-fourths and concluded that two twenty-fourths would make one twelfth. Erik then began to add white rods to the model to show that there were twenty four. As he did that, Alan told researcher Amy Martino that the difference between three quarters and two thirds was one twelfth or two twenty-fourths. After Erik lined up the white rods, he concluded that the difference between the two fractions was one twelfth or two twenty-fourths. He repeated this solution to the visitor soon thereafter, and again after he finished recording his solution.
Math ToolCuisenaire rods
Math StrandFractions
Math ProblemFraction as number, Comparing fractions, Equivalent fractions
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
Grade Level4
Student ParticipantsAlan (student), Erik (student)
MediatorsMartino, Amy Marie (Researcher)
CorporateConover Road (Colts Neck, N.J.)
SettingClassroom
Student GenderMale
Student EthnicityWhite
Camera ViewsClassroom view, Presentation view, Side 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 Captured1993-10-06
Local IdentifierA89A90A91-FRC-CMPRF-CLIP007
Related Publication
Type: Related publication
Label: Ed.D. dissertation references the video footage that includes Continuing to explore fraction comparisons, Clip 7 of 7: Erik and Alan compare two third and three fourths
Date: 2009
Author: Yankelewitz, Dina (Rutgers, the State University of New Jersey)
Name: The development of mathematical reasoning in elementary school students' exploration of fraction ideas
Reference: http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000054787
Type: Related publication
Label: Ed.D. dissertation references the video footage that includes Continuing to explore fraction comparisons, Clip 7 of 7: Erik and Alan compare two third and three fourths
Date: 2009
Author: Yankelewitz, Dina (Rutgers, the State University of New Jersey)
Name: The 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 Continuing to explore fraction comparisons, Clip 7 of 7: Erik and Alan compare two third and three fourths
Date: 2008
Author: Reynolds, Suzanne Loveridge (Rutgers, the State University of New Jersey)
Name: A study of fourth-grade students' explorations into comparing fractions
Reference: QA.R465 2005
Type: Related publication
Label: Ed.D. dissertation references the video footage that includes Continuing to explore fraction comparisons, Clip 7 of 7: Erik and Alan compare two third and three fourths
Date: 2008
Author: Reynolds, Suzanne Loveridge (Rutgers, the State University of New Jersey)
Name: A study of fourth-grade students' explorations into comparing fractions
Reference: QA.R465 2005
Source
Title: A89, Continuing to explore fraction comparisons (classroom view), Grade 4, October 6, 1993, raw footage.
Identifier: A89-19931006-CNCR-CV-CLASS-GR4-FRC-CMPRF-RAW
Title: A89, Continuing to explore fraction comparisons (classroom view), Grade 4, October 6, 1993, raw footage.
Identifier: A89-19931006-CNCR-CV-CLASS-GR4-FRC-CMPRF-RAW
Source
Title: A90, Continuing to explore fraction comparisons (presentation view), Grade 4, October 6, 1993, raw footage.
Identifier: A90-19931006-CNCR-PV-CLASS-GR4-FRC-CMPRF-RAW
Title: A90, Continuing to explore fraction comparisons (presentation view), Grade 4, October 6, 1993, raw footage.
Identifier: A90-19931006-CNCR-PV-CLASS-GR4-FRC-CMPRF-RAW
Source
Title: A91, Continuing to explore fraction comparisons (side view), Grade 4, October 6, 1993, raw footage.
Identifier: A91-19931006-CNCR-SIV-CLASS-GR4-FRC-CMPRF-RAW
Title: A91, Continuing to explore fraction comparisons (side view), Grade 4, October 6, 1993, raw footage.
Identifier: A91-19931006-CNCR-SIV-CLASS-GR4-FRC-CMPRF-RAW