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Night session, Pascal's identity, clip 2 of 7: making sense of factorial notation and "why you multiply" [video]. Retrieved from https://doi.org/doi:10.7282/T33B600R

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TitleNight session, Pascal's identity, clip 2 of 7: making sense of factorial notation and "why you multiply"
PublisherNew Brunswick, NJ: Robert B. Davis Institute for learning, , c1999-05-12
Persistent URLhttps://doi.org/doi:10.7282/T33B600R
DescriptionThis is the second of seven clips from the night session. In it, Jeff, Michael, and Romina, along with Ankur (who has just arrived), use the analogy they call “people on a line” to investigate the meaning of 3!, which they indicate means 3 times 2 times 1. When asked to explain “why you multiply,” Ankur responds by making use of the different analogy of counting the number of ways to arrange three different colors.
Math ToolCalculator
Math StrandCounting, Combinatorics
Math ProblemPascal's identity
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 HeuristicsDirect reasoning, Inductive reasoning, Recognizing a pattern, Recursive reasoning
Grade Level11
Student ParticipantsJeff (student), Romina (student), Michael A. (Kenilworth, student), Ankur (student)
MediatorsMaher, Carolyn Alexander (Researcher), Pantozzi, Ralph S. (Researcher), Kiczek, Regina D. (Researcher)
CorporateDavid Brearley High School (Kenilworth, N.J.)
SettingInformal learning
Student GenderMixed
Student EthnicityMixed
Camera ViewsClassroom 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 Captured1999-05-12
Local IdentifierA28-CMB-TW10T-CLIP002
Related Publication
   Type: Dissertation
   Label: Ed.D. dissertation references the video footage that includes Night session, Pascal's Identity, clip 2 of 7
   Detail: Dissertation available in digital and paper formats in the Rutgers University Libraries dissertation collection.
   Author: Uptegrove, Elizabeth (Rutgers Graduate School of Education)

   Name: To symbols from meaning: students' investigations in counting.
Source
   Title: A28, Night session, Pascal's identity, grade 11, May 12, 1999, raw footage
   Identifier: A28-19990512-KNWH-PV-CLASS-GR11-CMB-TW10T-RAW