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PUP Math: Gang of four [video]. Retrieved from https://doi.org/doi:10.7282/T3CC0ZND
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Description
TitlePUP Math: Gang of four
PublisherCambridge, MA: Annenberg Learner, 2000, c2000
Persistent URLhttps://doi.org/doi:10.7282/T3CC0ZND
DescriptionThis video is part of The Private Universe Project in Mathematics and includes narrative voice-over and interview with researcher, Carolyn Maher interspersed with footage of a group interview with Jeff, Michelle, Milin and Stephanie. The group interview, which lasted about an hour, occurred after students worked in the classroom on building towers of height five selecting from two colors of Unifix cubes and participated in individual interviews to discuss their thinking. Maher begins the interview by asking the 4th graders what they remembered about the problem. The students also have considered towers of different heights that can be built from two colors of cubes, and from their experiences they describe patterns that they have noticed. They use markers and paper to construct representations of towers and then use the drawings to explain their ideas. As the students share different kinds of patterns and reasoning with the group, they are asked to convince others with justifications for their solutions. Researcher Alice Alston observes the interview.
Math StrandCounting
Math ProblemTowers
NCTM Grade Range3-5
NCTM Content StandardNumber and operations
NCTM Process StandardProblem solving, Reasoning and proof, Communication, Connections, Representation
Forms of Reasoning, Strategies and HeuristicsGuessing and checking, Controlling for variables, Recognizing a pattern
Grade Level4
Student ParticipantsMilin (student), Jeff (student), Michelle I. (student), Stephanie (student)
SettingInformal learning
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 Captured2000
Local IdentifierPM2_GangOfFour2
Related Publication
Type: Related publication
Label: Workshops (web-based) utilize the video PUP Math: Gang of Four.
Publisher: Annenberg Learner
Creator: Harvard-Smithsonian Center for Astrophysics
Name: Private Universe Project in Mathematics Workshops
Reference: https://lweb.cfa.harvard.edu/smgdvl/pmt/index.html
Type: Related publication
Label: Workshops (web-based) utilize the video PUP Math: Gang of Four.
Publisher: Annenberg Learner
Creator: Harvard-Smithsonian Center for Astrophysics
Name: Private Universe Project in Mathematics Workshops
Reference: https://lweb.cfa.harvard.edu/smgdvl/pmt/index.html
Related Publication
Type: Related publication
Label: Journal article references the video footage that includes PUP Math: Gang of four.
Date: 1996
Author: Maher, Carolyn Alexander (Rutgers, the State University of New Jersey)
Author: Martino, Amy Marie.
Name: The development of the idea of mathematical proof: A 5-year case study in Journal for Research in Mathematics Education 27 (2), 1996. pp. 194-214.
Reference: http://search.proquest.com/docview/62673047?accountid=13626
Type: Related publication
Label: Journal article references the video footage that includes PUP Math: Gang of four.
Date: 1996
Author: Maher, Carolyn Alexander (Rutgers, the State University of New Jersey)
Author: Martino, Amy Marie.
Name: The development of the idea of mathematical proof: A 5-year case study in Journal for Research in Mathematics Education 27 (2), 1996. pp. 194-214.
Reference: http://search.proquest.com/docview/62673047?accountid=13626
Related Publication
Type: Related publication
Label: Book chapter references the video footage that includes PUP Math: Gang of four.
Date: 1997
Author: Maher, Carolyn Alexander (Rutgers, the State University of New Jersey.)
Author: Martino, Amy Marie
Editor: Mansfield, Helen.
Editor: Pateman, Neil A.
Editor: Bednarz, Nadine.
Name: Conditions for conceptual change: from pattern recognition to theory posing (pp. 58-81) in H. Mansfield, N.A. Pateman and N. Bednarz (eds.), Young children and mathematics: concepts and their representation. Sydney, Australia: Australian Association of Mathematics Teachers, 1997.
Type: Related publication
Label: Book chapter references the video footage that includes PUP Math: Gang of four.
Date: 1997
Author: Maher, Carolyn Alexander (Rutgers, the State University of New Jersey.)
Author: Martino, Amy Marie
Editor: Mansfield, Helen.
Editor: Pateman, Neil A.
Editor: Bednarz, Nadine.
Name: Conditions for conceptual change: from pattern recognition to theory posing (pp. 58-81) in H. Mansfield, N.A. Pateman and N. Bednarz (eds.), Young children and mathematics: concepts and their representation. Sydney, Australia: Australian Association of Mathematics Teachers, 1997.
Related Publication
Type: Related publication
Label: Book chapter references the video footage that includes PUP Math: Gang of four.
Date: 1996
Author: Maher, Carolyn Alexander (Rutgers, the State University of New Jersey)
Author: Martino, Amy Marie
Name: Young children invent methods of proof: the "gang of four” (pp. 1-21) in L. P. Steffe and P. Nesher (eds.), Theories of mathematical learning. Mahwah, NJ: Lawrence E. Erlbaum Associates, 1996.
Reference: QA11.A1T47 1996
Type: Related publication
Label: Book chapter references the video footage that includes PUP Math: Gang of four.
Date: 1996
Author: Maher, Carolyn Alexander (Rutgers, the State University of New Jersey)
Author: Martino, Amy Marie
Name: Young children invent methods of proof: the "gang of four” (pp. 1-21) in L. P. Steffe and P. Nesher (eds.), Theories of mathematical learning. Mahwah, NJ: Lawrence E. Erlbaum Associates, 1996.
Reference: QA11.A1T47 1996