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Night session, Pascal's identity, clip 1 of 7: thinking about the meaning of combinatorics notation
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MovingImage
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Title
Night session, Pascal's identity, clip 1 of 7: thinking about the meaning of combinatorics notation
Identifier
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A28-CMB-TW10T-CLIP001
Identifier
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http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000055279
Language
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English
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Research data
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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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Jeff (student)
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Romina (student)
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Michael A. (Kenilworth, student)
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David Brearley High School (Kenilworth, N.J.)
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Mathematics education
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Learning, Psychology of--Case studies
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9-12
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Number and operations
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Algebra
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Problem solving
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Reasoning and proof
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Counting
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Combinatorics
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Pascal's identity
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Recognizing a pattern
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Representations
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11
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Informal learning
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Mixed
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Towers
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Combinations
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Topic
Referencing a previous problem
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Geographic
Kenilworth Public Schools
Subject
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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?
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
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1
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video/quicktime
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video/x-flv
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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.
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Maher
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Carolyn Alexander
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Rutgers, the State University of New Jersey
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Pantozzi
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Ralph S.
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New Brunswick, NJ
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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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Title
To symbols from meaning: students' investigations in counting / by Elizabeth Uptegrove.
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Robert B. Davis Institute for Learning Mathematics Education Collection
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Dissertation
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Ed.D. dissertation references the video footage that includes Night session, Pascal's Identity, clip 1 of 7.
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New Brunswick, NJ
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Dissertation available in digital and paper formats in the Rutgers University Libraries dissertation collection.
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To symbols from meaning: students' investigations in counting.
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Dissertation available in digital and paper formats in the Rutgers University Libraries dissertation collection.
Identifier
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doi:10.7282/T3ZK5GH2
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Rights
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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
Status
Copyright protected
Availability
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Open
Reason
Permission or license
Publication
Status
Unpublished
RightsHolder
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(type = corporate)
Name
Robert B. Davis Institute for Learning
Role
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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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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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(ID = AE-1);
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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