VIDEO
PDF
PDF format is widely accepted and good for printing.
Transcript(20.25 kb)
Student Work(4.32 MB)
Citation & Export
Related Resources (2)
View Analytics (2)
Statistics
Now Playing: MP4-1
Citation & Export
APA citation
Comparing fractions and evaluating models that represent solutions, Clip 8 of 8: Comparing one half and one fourth, multiple models [video]. Retrieved from https://doi.org/doi:10.7282/T3CR5RZN
Export
Related Resources (2)
Analytics (2)
Description
TitleComparing fractions and evaluating models that represent solutions, Clip 8 of 8: Comparing one half and one fourth, multiple models
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, , c1993-10-01
Persistent URLhttps://doi.org/doi:10.7282/T3CR5RZN
DescriptionDanielle and Gregory presented their model to represent the solution to the problem: Which is larger one half or one fourth and by how much. They built a model of an orange and dark green train, two brown rods, and four purple rods. Danielle explained that if one half, or the brown rod, was compared with one fourth, or the purple rod, it was larger by one purple rod, or one fourth. Andrew presented a fourth model. Using a purple rod, two red rods, and four white rods, he reasoned directly that one half was larger than one fourth by one fourth. He then said that he thought the solution would always be one fourth. Researcher Carolyn Maher asked him why he thought that. Andrew said that all the models that had been built always had the room for one more fourth and that two fourths equaled one half. As he spoke, he showed that on his model, two white rods equaled the length of the red rod. Erik and Alan then presented their method of building models to represent the solution. Erik explained that if the length of two white rods were subtracted from the length of the rod used previously, a model for the problem could be built. Alan and Erik displayed their work on the overhead. Andrew then challenged the validity of their models, saying that that they didn’t show halves on their model. Erik replied that he thought that other students had already shown the difference between one half and one fourth, and they were simply presenting a method of finding models. The researcher then closed the session by asking the students to think about whether it is possible to build more than six models using the rods that they had.
Math ToolCuisenaire rods
Math StrandFractions
Math ProblemFraction as number, Comparing 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, Generic reasoning, Recursive reasoning, Indirect reasoning
Grade Level4
Student ParticipantsDanielle (student), Gregory (student), Andrew (student), Alan (student), Erik (student), David (student)
CorporateConover Road (Colts Neck, N.J.)
SettingClassroom
Student GenderMixed
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 Captured1993-10-01
Local IdentifierA83A84A85-FRC-CMPRF-CLIP008
Related Publication
Type: Related publication
Label: Ed.D. dissertation references the video footage that includes Comparing fractions and evaluating models that represent solutions, Clip 8 of 8: Comparing one half and one fourth, multiple models
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 Comparing fractions and evaluating models that represent solutions, Clip 8 of 8: Comparing one half and one fourth, multiple models
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 Comparing fractions and evaluating models that represent solutions, Clip 8 of 8: Comparing one half and one fourth, multiple models
Date: 2001
Author: Steencken, Elena Perrone (Rutgers, the State University of New Jersey)
Name: Tracing the growth in understanding of fraction ideas
Reference: http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000055125
Type: Related publication
Label: Ed.D. dissertation references the video footage that includes Comparing fractions and evaluating models that represent solutions, Clip 8 of 8: Comparing one half and one fourth, multiple models
Date: 2001
Author: Steencken, Elena Perrone (Rutgers, the State University of New Jersey)
Name: Tracing the growth in understanding of fraction ideas
Reference: http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000055125
Source
Title: A83, Comparing fractions and evaluating models that represent solutions (classroom view), Grade 4, October 1, 1993, raw footage.
Identifier: A83-19931001-CNCR-CV-CLASS-GR4-FRC-CMPRF-RAW
Title: A83, Comparing fractions and evaluating models that represent solutions (classroom view), Grade 4, October 1, 1993, raw footage.
Identifier: A83-19931001-CNCR-CV-CLASS-GR4-FRC-CMPRF-RAW
Source
Title: A84, Comparing fractions and evaluating models that represent solutions (presentation view), Grade 4, October 1, 1993, raw footage.
Identifier: A84-19931001-CNCR-PV-CLASS-GR4-FRC-CMPRF-RAW
Title: A84, Comparing fractions and evaluating models that represent solutions (presentation view), Grade 4, October 1, 1993, raw footage.
Identifier: A84-19931001-CNCR-PV-CLASS-GR4-FRC-CMPRF-RAW
Source
Title: A85, Comparing fractions and evaluating models that represent solutions (side view), Grade 4, October 1, 1993, raw footage.
Identifier: A85-19931001-CNCR-SIV-CLASS-GR4-FRC-CMPRF-RAW
Title: A85, Comparing fractions and evaluating models that represent solutions (side view), Grade 4, October 1, 1993, raw footage.
Identifier: A85-19931001-CNCR-SIV-CLASS-GR4-FRC-CMPRF-RAW