Night session, Pascal's identity, clip 3 of 7: further explorations of factorials and combinations
Descriptive
TypeOfResource
MovingImage
TitleInfo
Title
Night session, Pascal's identity, clip 3 of 7: further explorations of factorials and combinations
Identifier
(type = rbdil)
A28-CMB-TW10T-CLIP003
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000055282
Language
LanguageTerm
(authority = ISO 639-3:2007)
English
Genre
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Research data
Genre
(authority = RURes_researchDataType)
Longitudinal data
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Jeff (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Romina (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Michael A. (Kenilworth, student)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Ankur (student)
Subject
Name
(authority = RBDIL_corporate)
NamePart
(type = corporate)
David Brearley High School (Kenilworth, N.J.)
Subject
(authority = lcsh)
Topic
Mathematics education
Subject
(authority = lcsh)
Topic
Learning, Psychology of--Case studies
Subject
(authority = Grade range)
Subject
(authority = NCTM Content)
Topic
Number and operations
Subject
(authority = NCTM Content)
Subject
(authority = NCTM Process)
Subject
(authority = NCTM Process)
Topic
Reasoning and proof
Subject
(authority = NCTM Process)
Subject
(authority = NCTM Process)
Subject
(authority = NCTM Process)
Subject
(authority = rbdil_mathStrand)
Subject
(authority = rbdil_mathStrand)
Subject
(authority = rbdil_mathProblem)
Subject
(authority = rbdil_mathTools)
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Inductive reasoning
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Referencing a previous problem
Subject
(authority = rbdil_topic)
Subject
(authority = rbdil_topic)
Subject
(authority = rbdil_topic)
Subject
(authority = rbdil_mathProblem)
Subject
(authority = rbdil_gradeLevel)
Subject
(authority = rbdil_setting)
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Subject
(authority = rbdil_studentGender)
Subject
(authority = rbdil_studentEthnicity)
Subject
(authority = rbdil_district)
Geographic
Kenilworth Public Schools
Abstract
(type = summary)
This 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!].
PhysicalDescription
Extent
(unit = digital file(s))
1
InternetMediaType
video/x-flv
Note
(type = supplementary materials)
Transcript is also available.
Note
(type = APA citation)
Robert B. Davis Institute for Learning. (1999). Night session, Pascal's identity, clip 3 of 7: further explorations of factorials and combinations. [video]. Retrieved from http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000055282
Note
(type = available formats)
Available in QuickTime streaming and downloadable Flash digital video files.
Name
(type = personal)
NamePart
(type = family)
Maher
NamePart
(type = given)
Carolyn Alexander
Role
RoleTerm
(authority = marcrelator);
(type = text)
Researcher
Affiliation
Rutgers, the State University of New Jersey
Name
(type = personal)
NamePart
(type = family)
Kiczek
NamePart
(type = given)
Regina D.
Role
RoleTerm
(authority = marcrelator);
(type = text)
Researcher
Name
(type = personal)
NamePart
(type = family)
Steencken
NamePart
(type = given)
Elena Perrone
Role
RoleTerm
(authority = marcrelator);
(type = text)
Researcher
OriginInfo
Place
PlaceTerm
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New Brunswick, NJ
Publisher
Robert B. Davis Institute for learning
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(displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
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NjR
RelatedItem
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TitleInfo
Title
A28, Night session, Pascal's identity, grade 11, May 12, 1999, raw footage
Identifier
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A28-19990512-KNWH-PV-CLASS-GR11-CMB-TW10T-RAW
RelatedItem
(type = is referenced by)
TitleInfo
Title
To symbols from meaning: students' investigations in counting / by Elizabeth Uptegrove
Identifier
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http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000055263
RelatedItem
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TitleInfo
Title
Robert B. Davis Institute for Learning Mathematics Education Collection
Identifier
(type = local)
rucore00000001201
Extension
DescriptiveEvent
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.
AssociatedEntity
Name
Uptegrove, Elizabeth B.
Affiliation
Rutgers Graduate School of Education
AssociatedObject
Relationship
Is Referenced by
Name
To symbols from meaning: students' investigations in counting.
Identifier
(type = global)
http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000055263
Detail
Dissertation available in digital and paper formats in the Rutgers University Libraries dissertation collection.
Reference
(type = digital)
http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000055263
Genre
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Observational data
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Edited data
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Repurposed data
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Educational interventions (small group)
Genre
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Qualitative research
Genre
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School
TargetAudience
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Social science
TargetAudience
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Mathematics education
Classification
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(edition = Data)
Identifier
(type = doi)
doi:10.7282/T3736QR4
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