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PUP Math Night session
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PUP Math Night session [video]. Retrieved from https://doi.org/doi:10.7282/T34F1Q0W

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TitlePUP Math Night session
PublisherCambridge, MA: Annenberg Learner, 2000-05-05, c2000-05-05
Persistent URLhttps://doi.org/doi:10.7282/T34F1Q0W
DescriptionThis video comes from The Private Universe Project in Mathematics and includes narrative voice-over interspersed with footage of students engaged with problem solving and discussion with researcher, Carolyn Maher. In this session, held during the evening, the students consider the binomial expansion work they had done in their pre-calculus course earlier in that day, where they had been introduced to new notation for finding the coefficient of a term without having to write out Pascal's Triangle. Michael and Jeff share their understanding of the “n choose r” formula and entries in Pascal’s Triangle with the researchers and classmates Ankur, Brian and Romina. They make reference to another task they have explored previously, using a special case of the Pizza Problem to explain their reasoning. When prompted by the researcher to examine their generalization using “n choose r” notation, the students explore the Addition Rule of Pascal’s Triangle using symbolic notation. Finally, the students respond to the researcher’s challenge to represent their solution using factorial notation. Examining their work, Jeff comments to the group: “You know like, how intimidating this equation must be, like if you just pick up a book and look at that?”
Math StrandCombinatorics, Pre-calculus
Math ProblemBinomial expansion
NCTM Grade Range9-12
NCTM Content StandardNumber and operations, Algebra
NCTM Process StandardProblem solving, Reasoning and proof, Communication, Connections, Representation
Forms of Reasoning, Strategies and HeuristicsRecognizing a pattern, Recognizing an isomorphism, Referencing a previous problem, Generalizing
Grade Level11
Student ParticipantsAnkur (student), Brian (Kenilworth, student), Jeff (student), Michael A. (Kenilworth, student), Romina (student)
MediatorsMaher, Carolyn Alexander (Researcher), Kiczek, Regina Dockweiler (Researcher)
CorporateDavid Brearley High School (Kenilworth, N.J.)
SettingInformal learning
Student GenderMixed
Student EthnicityMixed
Camera ViewsStudent 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 Captured2000-05-05
Local IdentifierPM5_NightSession
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
Related Publication
   Type: Related publication
   Label: Ed.D. dissertation references the video footage that includesPUP Math Night session
   Date: 2005
   Author: Uptegrove, Elizabeth B. (Rutgers Graduate School of Education)

   Name: To symbols from meaning : students' investigations in counting
   Reference: http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000055263
Source
   Title: Private Universe Project in Mathematics Workshops. Cambridge, MA: Annenberg Learner.
   Identifier: http://www.learner.org/workshops/pupmath/index.html
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