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.
NoteTranscript and student work are also available.
NoteRobert B. Davis Institute for Learning. (1993). Fractions, Grade 4, Clip 3 of 4: Multiple models to represent one half. [video]. Retrieved from http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000054750
NoteAvailable in QuickTime streaming and downloadable Flash digital video files.
GenreResearch data, Action research, Direct observation, Educational interventions (large group), Field research, Longitudinal data, Continuous monitoring, Defined population
Data Life Cycle Event(s) Related publication 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 Identifier: http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000054787 (global) Reference: http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000054787
Data Life Cycle Event(s) Related publication 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 Identifier: http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000055125 (global) Reference: http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000055125
CollectionRobert B. Davis Institute for Learning Mathematics Education Collection
Organization NameRutgers, The State University of New Jersey, Rutgers University. Libraries
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.