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Night session, Pascal's identity, clip 1 of 7: thinking about the meaning of combinatorics notation

Descriptive

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MovingImage
TitleInfo (ID = T-1)
Title
Night session, Pascal's identity, clip 1 of 7: thinking about the meaning of combinatorics notation
Identifier (type = rbdil)
A28-CMB-TW10T-CLIP001
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000055279
Language
LanguageTerm (authority = ISO 639-3:2007)
English
Genre (authority = RURes_RUResearchGenre)
Research data
Genre (authority = RURes_DataTypeOrMethodology)
Action research
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Direct observation
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Educational interventions (small group)
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Educational interventions (small group)
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Field research
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Continuous monitoring
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Name (authority = RBDIL_personal)
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Jeff (student)
Subject (ID = SBJ-2)
Name (authority = RBDIL_personal)
NamePart (type = personal)
Romina (student)
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Name (authority = RBDIL_personal)
NamePart (type = personal)
Michael A. (Kenilworth, student)
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Name (authority = RBDIL_corporate)
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David Brearley High School (Kenilworth, N.J.)
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Topic
Mathematics education
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Topic
Learning, Psychology of--Case studies
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Topic
9-12
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Topic
Number and operations
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Topic
Algebra
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Problem solving
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Reasoning and proof
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Topic
Connections
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Topic
Representation
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Topic
Counting
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Topic
Combinatorics
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Topic
Pascal's identity
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Calculator
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Direct reasoning
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Inductive reasoning
Subject (ID = SBJ-31); (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Recognizing a pattern
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Recursive reasoning
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Topic
Representations
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Topic
11
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Informal learning
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Mixed
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Topic
Mixed
Subject (ID = SBJ-1); (authority = rbdil_mathProblem)
Topic
Towers
Subject (ID = SBJ-1); (authority = rbdil_topic)
Topic
Combinations
Subject (ID = SBJ-1); (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Referencing a previous problem
Subject (ID = SBJ-1); (authority = rbdil_district)
Geographic
Kenilworth Public Schools
Subject (ID = SBJ-1)
HierarchicalGeographic
Country
UNITED STATES
State
New Jersey
County
Union County
City
Kenilworth (N.J.)
Abstract (type = summary)
This is the first of seven clips from the night session. In it, Jeff, Michael, and Romina discuss the coefficients of the binomial expansion, specifically (a+b) to the 10th power. In attempting to explain why 45 is the coefficient of the third term in this expansion, the students refer to counting how many 10-tall towers have exactly two cubes of a specific color.
Note: The 10-tall towers problem is an instance of the n-tall towers problem: How many towers n cubes tall is it possible to make when there are two colors of cubes to choose from?
PhysicalDescription
Extent (unit = digital file(s))
1
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video/quicktime
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video/x-flv
TargetAudience (authority = Domain)
Education
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 1 of 7: thinking about the meaning of combinatorics notation. [video]. Retrieved from http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000055279
Note (type = available formats)
Available in QuickTime streaming and downloadable Flash digital video files.
Name (ID = NAME-1); (type = personal)
NamePart (type = family)
Maher
NamePart (type = given)
Carolyn Alexander
Role
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Researcher
Affiliation
Rutgers, the State University of New Jersey
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Pantozzi
NamePart (type = given)
Ralph S.
Role
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Researcher
OriginInfo
Place
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New Brunswick, NJ
Publisher
Robert B. Davis Institute for learning
CopyrightDate
1999-05-12
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Title
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 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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Dissertation
Label
Ed.D. dissertation references the video footage that includes Night session, Pascal's Identity, clip 1 of 7.
Place
New Brunswick, NJ
Detail
Dissertation available in digital and paper formats in the Rutgers University Libraries dissertation collection.
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Uptegrove, Elizabeth
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Rutgers Graduate School of Education
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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
Detail
Dissertation available in digital and paper formats in the Rutgers University Libraries dissertation collection.
Identifier (type = doi)
doi:10.7282/T3ZK5GH2
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Rights

RightsDeclaration (AUTHORITY = rbdil1_v1); (ID = rbdil1_v1)
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
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
Publication
Status
Unpublished
RightsHolder (ID = CRH-1); (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
ContactInformationDate
2009-11-03
RightsEvent (ID = RE-1); (AUTHORITY = rulib)
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.
AssociatedEntity (ID = AE-1); (AUTHORITY = rulib)
Role
Licensor
Name
Maher, Carolyn A.
Affiliation
Director, Robert B. Davis Institute for Learning, Rutgers Graduate School of Education
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Duration
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