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PUP Math Shirts and Pants [video]. Retrieved from https://doi.org/doi:10.7282/T3MC8Z77
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Description
TitlePUP Math Shirts and Pants
PublisherCambridge, MA: Annenberg Learner, 2000, c2000
Persistent URLhttps://doi.org/doi:10.7282/T3MC8Z77
DescriptionThis edited video from the Private Universe Project in Mathematics focuses on three children, first in second grade and then in third, exploring two problems, the first that involves making outfits from shirts and pants and the second forming place settings with cups, bowls and plates. There are voice-over explanations that illustrate the children's drawings interspersed throughout the video episode, and interpretive narrative given by researchers Carolyn Maher and Amy Martino. The first problem, Shirts and Pants, was presented to the students, working in small groups, in the spring of second grade. Stephanie, Dana and Michael were grouped together for the first session. In the first session, the girls reported five outfits although their conversation and work suggested considering the six possibiliies. When the same problem was presented in the fall of their 3rd grade, the girls worked as a pair and Michael was partnered with another student. All of the children gave thoughtful solutions to the problem. Later in that school year, the students were presented a second combinations problem called Cups, Bowls and Plates. This part of the video focuses on Dana and Stephanie as they solve the problem and represent their solution for sharing. The final piece of the video is a short excerpt from a follow-up interview with Stephanie, conducted by researcher Alice Alston.
Shirts and Pants Problem Statement: Stephen has a white shirt, a blue shirt and a yellow shirt. He has a pair of blue jeans and a pair of white jeans. How many different outfits can he make?
Cup, Bowls and Plates Problem Statement: Let's pretend that there's a birthday party in your class today. It's your job to set the places with cups, bowls and plates. The cups and bowls are blueall or yellow. The plates are either blue, yellow or orange. Is it possible for ten children at the party each to have a different combination of cup, bowl, and plate?
Shirts and Pants Problem Statement: Stephen has a white shirt, a blue shirt and a yellow shirt. He has a pair of blue jeans and a pair of white jeans. How many different outfits can he make?
Cup, Bowls and Plates Problem Statement: Let's pretend that there's a birthday party in your class today. It's your job to set the places with cups, bowls and plates. The cups and bowls are blueall or yellow. The plates are either blue, yellow or orange. Is it possible for ten children at the party each to have a different combination of cup, bowl, and plate?
Math ToolColor markers
Math StrandCounting, Combinatorics, Multiplication
Math ProblemShirts and pants
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, Direct reasoning, Controlling for variables
Student ParticipantsDana (student), Stephanie (student), Michael M. (Kenilworth, student)
MediatorsMaher, Carolyn Alexander (Researcher), Martino, Amy Marie (Researcher), Alston, Alice (Researcher)
SettingClassroom
Student GenderMixed
Student EthnicityWhite
Camera ViewsWork 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 IdentifierPM1_ShirtsPants
Related Publication
Type: Related publication
Label: Book chapter references the video footage that includes PUP Math Shirts and pants
Date: 2010
Detail: Combinatorics and reasoning : representing, justifying and building isomorphisms is available from the Rutgers University Libraries. QA164.C663 2011
Editor: Maher, Carolyn Alexander (Rutgers Graduate School of Education)
Editor: Powell, Arthur B. (Rutgers, the State University of New Jersey)
Editor: Uptegrove, Elizabeth B.
Name: "Representations as tools for building arguments" in C. Maher, A. Powell and E. Uptegrove (eds.) Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms. Dordrecht: Springer, 2011.
Reference: 10.1007/978-0-387-98132-1 (DOI)
Type: Related publication
Label: Book chapter references the video footage that includes PUP Math Shirts and pants
Date: 2010
Detail: Combinatorics and reasoning : representing, justifying and building isomorphisms is available from the Rutgers University Libraries. QA164.C663 2011
Editor: Maher, Carolyn Alexander (Rutgers Graduate School of Education)
Editor: Powell, Arthur B. (Rutgers, the State University of New Jersey)
Editor: Uptegrove, Elizabeth B.
Name: "Representations as tools for building arguments" in C. Maher, A. Powell and E. Uptegrove (eds.) Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms. Dordrecht: Springer, 2011.
Reference: 10.1007/978-0-387-98132-1 (DOI)
Related Publication
Type: Related publication
Label: Workshops (web-based) utilize the video PUP Math: Shirts and pants.
Publisher: Annenberg Learner
Creator: Harvard-Smithsonian Center for Astrophysics
Name: Private Universe Project in Mathematics Workshops
Reference: http://www.learner.org/workshops/pupmath/about/overview.html
Type: Related publication
Label: Workshops (web-based) utilize the video PUP Math: Shirts and pants.
Publisher: Annenberg Learner
Creator: Harvard-Smithsonian Center for Astrophysics
Name: Private Universe Project in Mathematics Workshops
Reference: http://www.learner.org/workshops/pupmath/about/overview.html
Related Publication
Type: Related publication
Label: Ed.D. dissertation references the video footage that includes PUP Math Shirts and pants.
Date: 1992
Author: Martino, Amy Marie. (Rutgers Graduate School of Education)
Name: Elementary students' construction of mathematical knowledge : analysis by profile
Reference: QA.M386 1992
Type: Related publication
Label: Ed.D. dissertation references the video footage that includes PUP Math Shirts and pants.
Date: 1992
Author: Martino, Amy Marie. (Rutgers Graduate School of Education)
Name: Elementary students' construction of mathematical knowledge : analysis by profile
Reference: QA.M386 1992
Source
Title: Private Universe Project in Mathematics Workshops. Cambridge, MA: Annenberg Learner.
Identifier: http://www.learner.org/workshops/pupmath/index.html
Title: Private Universe Project in Mathematics Workshops. Cambridge, MA: Annenberg Learner.
Identifier: http://www.learner.org/workshops/pupmath/index.html