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Night Session, Pascal’s Identity, Clip 6 of 7: Examples of Pascal’s Identity in the notation for combinations
Descriptive
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MovingImage
TitleInfo
Title
Night Session, Pascal’s Identity, Clip 6 of 7: Examples of Pascal’s Identity in the notation for combinations
Identifier
(type = rbdil)
A28-CMB-TW10T-CLIP006
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000055285
Language
LanguageTerm
(authority = ISO 639-3:2007)
English
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)
Topic
9-12
Subject
(authority = NCTM Content)
Topic
Number and operations
Subject
(authority = NCTM Content)
Topic
Algebra
Subject
(authority = NCTM Process)
Topic
Problem solving
Subject
(authority = NCTM Process)
Topic
Reasoning and proof
Subject
(authority = NCTM Process)
Topic
Communication
Subject
(authority = NCTM Process)
Topic
Connections
Subject
(authority = NCTM Process)
Topic
Representation
Subject
(authority = rbdil_mathStrand)
Topic
Counting
Subject
(authority = rbdil_mathStrand)
Topic
Combinatorics
Subject
(authority = rbdil_mathProblem)
Topic
Pascal's identity
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Direct reasoning
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Referencing a previous problem
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Recognizing a pattern
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Proportional reasoning
Subject
(authority = rbdil_topic)
Topic
Pascal's triangle
Subject
(authority = rbdil_topic)
Topic
Representations
Subject
(authority = rbdil_topic)
Topic
Combinations
Subject
(authority = rbdil_gradeLevel)
Topic
11
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(authority = rbdil_setting)
Topic
Informal learning
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Classroom view
Subject
(authority = rbdil_studentGender)
Topic
Mixed
Subject
(authority = rbdil_studentEthnicity)
Topic
Mixed
Subject
(authority = rbdil_mathProblem)
Topic
Pizza
Subject
(authority = rbdil_district)
Geographic
Kenilworth Public Schools
Subject
HierarchicalGeographic
Country
UNITED STATES
State
New Jersey
County
Union County
City
Kenilworth (N.J.)
Abstract
(type = summary)
This is the sixth of seven clips from the night session. After Jeff draws Pascal’s Triangle in what the students call “choose” notation, the researcher asks the students to express an instance of the addition rule using that “choose” notation (the notation for selecting combinations). Michael gives an example, and then he and the other students discuss the meaning of other specific instances of Pascal’s Identity in “choose” notation, in terms of specific instances of the pizza problem.
Notes:
The n-topping pizza problem is: How many pizzas can be made when there are n different pizza toppings to choose from?
“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!].
Notes:
The n-topping pizza problem is: How many pizzas can be made when there are n different pizza toppings to choose from?
“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
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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 6 of 7: Examples of Pascal’s Identity in the notation for combinations. [video]. Retrieved from http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000055285
Name
(type = personal)
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(type = family)
Maher
NamePart
(type = given)
Carolyn Alexander
Role
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Researcher
Affiliation
Rutgers, the State University of New Jersey
Name
(type = personal)
NamePart
(type = family)
Kiczek
NamePart
(type = given)
Regina D.
Role
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Researcher
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Steencken
NamePart
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Elena Perrone
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Researcher
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New Brunswick, NJ
Publisher
Robert B. Davis Institute for learning
CopyrightDate
1999-05-12
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A28, Night session, Pascal's identity, grade 11, May 12, 1999, raw footage
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TitleInfo
Title
To symbols from meaning: students' investigations in counting / by Elizabeth B. Uptegrove
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http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000055263
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Robert B. Davis Institute for Learning Mathematics Education Collection
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Ed.D. dissertation references the video footage that includes Night session, Pascal's Identity, clip 6 of 7
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To symbols from meaning: students' investigations in counting.
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http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000055263
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Dissertation available in digital and paper formats in the Rutgers University Libraries dissertation collection.
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doi:10.7282/T3M908HT
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Rights
RightsDeclaration
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The 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.
Copyright
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Copyright protected
Availability
Status
Open
Reason
Permission or license
Publication
Status
Unpublished
RightsHolder
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(type = corporate)
Name
Robert B. Davis Institute for Learning
Role
Copyright holder
Telephone
732-932-7496, ext. 8262
Address
Rutgers Graduate School of Education
10 Seminary Place
New Brunswick, NJ 08901-1183
10 Seminary Place
New Brunswick, NJ 08901-1183
ContactInformationDate
2009-11-03
RightsEvent
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Type
Permission or license
Label
Non-exclusive license to share the video presentation via RUcore.
Place
New Brunswick, NJ
DateTime
2009-11-03
Detail
Non-exclusive license to digitize and make openly available the videos and other collection resources of the Institute is on file in the office of the RUcore Collections Manager.
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Role
Licensor
Name
Maher, Carolyn A.
Affiliation
Director, Robert B. Davis Institute for Learning, Rutgers Graduate School of Education
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Statistical Profile