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Fractions, Grade 4, Clip 3 of 4: Multiple models to represent one half [video]. Retrieved from https://doi.org/doi:10.7282/T3736QQP
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Description
TitleFractions, Grade 4, Clip 3 of 4: Multiple models to represent one half
PublisherNew Brunswick, NJ: Robert B. Davis Institute for learning, , c1993-09-21
Persistent URLhttps://doi.org/doi:10.7282/T3736QQP
DescriptionResearcher Amy Martino led a whole class discussion that focused on solutions to the task: I'm going to call the orange and light green together one…Can you find a rod that has the number name one half? Several students provided responses. Andrew used a white rod sandwiched between two dark green rods and explained that the length of one dark green rod and half the white rod was equal in length to one half the length of the orange and light green train (i.e., a composite rod made by laying the rods end-to-end). Brian presented multiple models that could be divided in half to form a new rod that could be called one half if the orange and light green train was called one, after which Meredith provided yet another solution, which was clarified following the researcher's probing by an explanation from Graham. Finally, Erik made a nearly exhaustive attempt to find one half of the length by using thirteen white rods and trying to divide them into equal groups. The researcher concluded the session by discussing how Erik's method could be used if one of the white rods was split into two equal pieces, and each piece assigned to a group.
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, Reasoning by cases, Guessing and checking, Reasoning by analogy, Referencing a previous problem
Grade Level4
Student ParticipantsBrian F. (Colts Neck, student), Erik (student), Meredith (student), Andrew (student), Graham (student)
CorporateConover Road (Colts Neck, N.J.)
SettingClassroom
Student GenderMixed
Student EthnicityWhite
Camera ViewsClassroom view, Presentation view, Student 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 Captured1993-09-21
Local IdentifierA40A41A42-FRC-CMPRF-CLIP003
Related Publication
Type: Related publication
Label: Ed.D. dissertation references the video footage that includes Fractions, Grade 4, Clip 3 of 4: Multiple models to represent one half
Date: 2009
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
Reference: http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000054787
Type: Related publication
Label: Ed.D. dissertation references the video footage that includes Fractions, Grade 4, Clip 3 of 4: Multiple models to represent one half
Date: 2009
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
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 Fractions, Grade 4, Clip 3 of 4: Multiple models to represent one half
Date: 2001-05-01
Detail: Dissertation available in paper format 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
Reference: http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000055125
Type: Related publication
Label: Ed.D. dissertation references the video footage that includes Fractions, Grade 4, Clip 3 of 4: Multiple models to represent one half
Date: 2001-05-01
Detail: Dissertation available in paper format 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
Reference: http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000055125
Source
Title: A40, Fractions (student view), grade 4, September 21, 1993, raw footage
Identifier: A40-19930921-CNCR-SV-CLASS-GR4-FRC-CMPRF-RAW
Title: A40, Fractions (student view), grade 4, September 21, 1993, raw footage
Identifier: A40-19930921-CNCR-SV-CLASS-GR4-FRC-CMPRF-RAW
Source
Title: A41, Fractions (classroom view), grade 4, September 21, 1993, raw footage
Identifier: A41-19930921-CNCR-CV-CLASS-GR4-FRC-CMPRF-RAW
Title: A41, Fractions (classroom view), grade 4, September 21, 1993, raw footage
Identifier: A41-19930921-CNCR-CV-CLASS-GR4-FRC-CMPRF-RAW
Source
Title: A42, Fractions (presentation view), grade 4, September 21, 1993, raw footage
Identifier: A42-19930921-CNCR-PV-CLASS-GR4-FRC-CMPRF-
Title: A42, Fractions (presentation view), grade 4, September 21, 1993, raw footage
Identifier: A42-19930921-CNCR-PV-CLASS-GR4-FRC-CMPRF-