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Night Session, Pascal’s Identity, Clip 7 of 7: Generating and generalizing Pascal’s Identity
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Night Session, Pascal’s Identity, Clip 7 of 7: Generating and generalizing Pascal’s Identity [video]. Retrieved from https://doi.org/doi:10.7282/T3R2117J

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TitleNight Session, Pascal’s Identity, Clip 7 of 7: Generating and generalizing Pascal’s Identity
PublisherNew Brunswick, NJ: Robert B. Davis Institute for learning, , c1999-05-12
Persistent URLhttps://doi.org/doi:10.7282/T3R2117J
DescriptionThis is the last of seven clips from the night session. The students (Ankur, Jeff, Michael, and Romina) explain to Brian, a late-comer, the meaning of Pascal’s Identity (the addition rule for Pascal’s Triangle) in terms of operations on the pizzas that are represented by specific entries in Pascal’s Triangle. They write Pascal’s Identity in general form using standard notation.
Note: The n-topping pizza problem is: How many pizzas can be made when there are n different pizza toppings to choose from? The r-th number in the n-th row of Pascal’s Triangle gives the number of pizzas that have exactly r toppings when there are n toppings to choose from.
Math StrandCounting, Combinatorics
Math ProblemPascal's identity, Pizza
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, Referencing a previous problem, Recognizing a pattern
Grade Level11
Student ParticipantsJeff (student), Romina (student), Michael A. (Kenilworth, student), Ankur (student), Brian (Kenilworth, student)
MediatorsMaher, Carolyn Alexander (Researcher), Kiczek, Regina D. (Researcher), Steencken, Elena Perrone (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-CLIP007
Related Publication
   Type: Dissertation
   Label: Ed.D. dissertation references the video footage that includes Night session, Pascal's Identity, clip 7 of 7
   Detail: Dissertation available in digital and paper formats in the Rutgers University Libraries dissertation collection.
   Author: Uptegrove, Elizabeth B. (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
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