Night Session, Pascal’s Identity, Clip 5 of 7: Another way to write Pascal’s Triangle
Descriptive
TypeOfResource
MovingImage
TitleInfo
Title
Night Session, Pascal’s Identity, Clip 5 of 7: Another way to write Pascal’s Triangle
Identifier
(type = rbdil)
A28-CMB-TW10T-CLIP005
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000055284
Language
LanguageTerm
(authority = ISO 639-3:2007)
English
Genre
(authority = RURes_RUResearchGenre)
Research 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_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_forms of reasoning, strategies and heuristics)
Topic
Recognizing a pattern
Subject
(authority = rbdil_topic)
Subject
(authority = rbdil_topic)
Subject
(authority = rbdil_topic)
Subject
(authority = rbdil_gradeLevel)
Subject
(authority = rbdil_setting)
Subject
(authority = rbdil_cameraView)
Subject
(authority = rbdil_studentGender)
Subject
(authority = rbdil_studentEthnicity)
Subject
(authority = rbdil_mathProblem)
Subject
(authority = rbdil_district)
Geographic
Kenilworth Public Schools
Abstract
(type = summary)
This is the fifth of seven clips from the night session. The students (Ankur, Jeff, Michael, and Romina) have been discussing Pascal’s Triangle. The researcher rewrites row 3 of Pascal’s Triangle in what the students call “choose” notation (1 3 3 1 becomes “3 choose 0, “3 choose 1,” “3 choose 2,” and “3 choose 3”). The researcher then asks the students to write more rows of Pascal’s Triangle in this notation, including a general row (row n). As the students work on this task, they describe connections between Pascal’s Triangle and the binomial expansion and between the n-th row of Pascal’s Triangle and the answer to the n-tall towers problem.
Notes:
The n-tall towers problem is: How many towers n cubes tall is it possible to make when there are two colors of cubes 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
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 5 of 7: Another way to write Pascal’s Triangle. [video]. Retrieved from http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000055284/rucore00000001201.Video.000055284
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
(type = text)
New Brunswick, NJ
Publisher
Robert B. Davis Institute for learning
RelatedItem
(type = host)
TitleInfo
Title
A28, Night session, Pascal's identity, grade 11, May 12, 1999, raw footage
Identifier
(type = rbdil)
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
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000055263
RelatedItem
(type = host)
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 5 of 7: Another way to write Pascal’s Triangle
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
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.
Genre
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Observational data
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Edited data
Genre
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Repurposed data
Genre
(authority = RURes_researchDataType)
Longitudinal data
Genre
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Qualitative research
Genre
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School
Genre
(authority = RURes_qualitativeMethod)
Educational interventions (small group)
TargetAudience
(authority = RURes_discipline)
Social science
TargetAudience
(authority = RURes_domain)
Mathematics education
Classification
(authority = RUresearch);
(edition = Data)
Identifier
(type = doi)
doi:10.7282/T3GH9HT0
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