Home
Resource
Night session, Pascal's identity, clip 3 of 7: further explorations of factorials and combinations
VIDEO
PDF
PDF format is widely accepted and good for printing.
Plug-in required
Transcript(132.48 kb)
Citation & Export
Related Resources (1)
View Usage Statistics
Staff View

Now Playing: MP4-1
Close

Open in new window/tab

Citation & Export
Hide

APA citation

Night session, Pascal's identity, clip 3 of 7: further explorations of factorials and combinations [video]. Retrieved from https://doi.org/doi:10.7282/T3736QR4

Export

Click here for information about Citation Management Tools at Rutgers.

Related Resources (1)
Hide

Statistics
Hide

Description

TitleNight session, Pascal's identity, clip 3 of 7: further explorations of factorials and combinations
PublisherNew Brunswick, NJ: Robert B. Davis Institute for learning, , c1999-05-12
Persistent URLhttps://doi.org/doi:10.7282/T3736QR4
DescriptionThis is the third of seven clips from the night session. The four students (Ankur, Jeff, Michael, and Romina) investigate the reason for dividing n! by (n-x)! and x! when calculating “n choose x.” In explaining the specific example of “5 choose 2,” they use two analogies: 1) arranging five people on a line when you are concerned about the positions of only two of the people and 2) counting the number of 5-tall towers having exactly two cubes of one color.
Notes:
“Choose” notation is the notation for counting the number of combinations; “n choose r” gives the number of ways of selecting subsets containing r objects from a set containing n objects. When counting combinations, the order of selection is irrelevant. “n choose r” is equal to n!/[(n – r)!r!].
Math ToolCalculator
Math StrandCounting, Combinatorics
Math ProblemPascal's identity, Towers
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
Grade Level11
Student ParticipantsJeff (student), Romina (student), Michael A. (Kenilworth, student), Ankur (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-CLIP003
Related Publication
   Type: Dissertation
   Label: Ed.D. dissertation references the video footage that includes Night session, Pascal's Identity, clip 3 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.
   Reference: http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000055263
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
Version 8.5.5
Rutgers University Libraries - Copyright ©2024