RUcore: Rutgers University Community Repository
PUP Math Night session
Descriptive
TypeOfResource
MovingImage
Identifier
(type = rbdil)
PM5_NightSession
Genre
(authority = RURes_RUResearchGenre)
Research data
Genre
(authority = RURes_DataTypeOrMethodology)
Action research
Genre
(authority = RURes_DataTypeOrMethodology)
Direct observation
Genre
(authority = RURes_DataTypeOrMethodology)
Educational interventions (small group)
Genre
(authority = RURes_DataTypeOrMethodology)
Field research
Genre
(authority = RURes_DataTypeOrMethodology)
Longitudinal data
Genre
(authority = RURes_directObservationMethodology)
Continuous monitoring
Genre
(authority = RURes_subjectOfStudy)
Defined population
Genre
(authority = RURes_RUResearchGenre)
Derived or repurposed data
Genre
(authority = RURes_RUResearchGenre)
Observational data
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Ankur (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Brian (Kenilworth, student)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Jeff (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Michael A. (Kenilworth, student)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Romina (student)
Subject
Name
(authority = RBDIL_corporate)
NamePart
David Brearley High School (Kenilworth, N.J.)
Subject
(authority = lcsh)
Topic
Mathematics education
Subject
(authority = lcsh)
Topic
Critical thinking in children--New Jersey--Case studies
Subject
(authority = LCSH)
Topic
Learning, Psychology of--Case studies
Subject
(authority = Grade range)
Topic
9-12
Subject
(authority = rbdil_gradeLevel)
Topic
11
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
Combinatorics
Subject
(authority = rbdil_mathStrand)
Topic
Pre-calculus
Subject
(authority = rbdil_mathProblem)
Topic
Binomial expansion
Subject
(authority = rbdil_setting)
Topic
Informal learning
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Recognizing a pattern
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Recognizing an isomorphism
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Referencing a previous problem
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Generalizing
Subject
(authority = rbdil_topic)
Topic
Representations
Subject
(authority = rbdil_topic)
Topic
Pascal's triangle
Subject
(authority = rbdil_topic)
Topic
Equations
Subject
(authority = rbdil_topic)
Topic
Binary numbers
Subject
(authority = rbdil_topic)
Topic
Coefficients
Subject
(authority = rbdil_topic)
Topic
Factorials
Subject
(authority = rbdil_studentGender)
Topic
Mixed
Subject
(authority = rbdil_studentEthnicity)
Topic
Mixed
Subject
(authority = rbdil_schoolType)
Topic
Public school
Subject
(authority = rbdil_cameraView)
Topic
Student view
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 video comes from The Private Universe Project in Mathematics and includes narrative voice-over interspersed with footage of students engaged with problem solving and discussion with researcher, Carolyn Maher. In this session, held during the evening, the students consider the binomial expansion work they had done in their pre-calculus course earlier in that day, where they had been introduced to new notation for finding the coefficient of a term without having to write out Pascal's Triangle. Michael and Jeff share their understanding of the “n choose r” formula and entries in Pascal’s Triangle with the researchers and classmates Ankur, Brian and Romina. They make reference to another task they have explored previously, using a special case of the Pizza Problem to explain their reasoning. When prompted by the researcher to examine their generalization using “n choose r” notation, the students explore the Addition Rule of Pascal’s Triangle using symbolic notation. Finally, the students respond to the researcher’s challenge to represent their solution using factorial notation. Examining their work, Jeff comments to the group: “You know like, how intimidating this equation must be, like if you just pick up a book and look at that?”
PhysicalDescription
Extent
(unit = digital file(s))
1
InternetMediaType
video/quicktime
InternetMediaType
video/x-flv
Note
(type = supplementary materials)
Transcript is also available.
Note
(type = APA citation)
Smithsonian Astrophysical Observatory. (2000). PUP Math Night Session [video].
Note
(type = available formats)
Resource vailable in QuickTime and Flash digital video formats.
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 Dockweiler
Role
RoleTerm
(authority = marcrelator);
(type = text)
Researcher
OriginInfo
DateCreated
(encoding = w3cdtf)
2000-05-05
Place
PlaceTerm
(type = text)
Cambridge, MA
Publisher
Annenberg Learner
CopyrightDate
(encoding = w3cdtf)
2000-05-05
Extension
DescriptiveEvent
Type
Related publication
Label
Workshops (web-based) utilize the video PUP Math: Shirts and pants.
AssociatedEntity
Role
Publisher
Name
Annenberg Learner
Reference
http://www.learner.org/about/contactus.html
Detail
Annenberg Learner, part of the Annenberg Foundation,
Advancing Excellent Teaching in American Schools
Annenberg Learner uses media and telecommunications to advance excellent teaching in American schools.
Advancing Excellent Teaching in American Schools
Annenberg Learner uses media and telecommunications to advance excellent teaching in American schools.
AssociatedEntity
Role
Creator
Name
Harvard-Smithsonian Center for Astrophysics
Reference
http://www.cfa.harvard.edu/
AssociatedObject
Type
Workshop
Relationship
References
Name
Private Universe Project in Mathematics Workshops
Reference
http://www.learner.org/workshops/pupmath/about/overview.html
Extension
DescriptiveEvent
Type
Related publication
Label
Ed.D. dissertation references the video footage that includesPUP Math Night session
Place
New Brunswick, NJ
DateTime
(encoding = w3cdtf);
(qualifier = exact)
2005
AssociatedEntity
Role
Author
Name
Uptegrove, Elizabeth B.
Affiliation
Rutgers Graduate School of Education
AssociatedObject
Type
Dissertation
Relationship
References
Name
To symbols from meaning : students' investigations in counting
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000055263
Detail
Dissertation available in digital format in the RUcore Rutgers Electronic Theses and Dissertations collection.
Reference
http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000055263
RelatedItem
(type = host)
TitleInfo
Title
Private Universe Project in Mathematics Workshops. Cambridge, MA: Annenberg Learner.
Identifier
(type = uri)
http://www.learner.org/workshops/pupmath/index.html
RelatedItem
(type = is referenced by)
TitleInfo
Title
To symbols from meaning : students' investigations in counting / by Elizabeth B. Uptegrove.
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000055263
Name
(type = corporate)
NamePart
Harvard-Smithsonian Center for Astrophysics
Role
RoleTerm
(authority = marcrelator);
(type = text)
Creator
TitleInfo
Title
PUP Math Night session
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000062057
RelatedItem
(type = host)
TitleInfo
Title
Robert B. Davis Institute for Learning Mathematics Education Collection
Identifier
(type = local)
rucore00000001201
Location
PhysicalLocation
(authority = marcorg);
(displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Location
PhysicalLocation
(authority = marcorg);
(displayLabel = Rutgers University. Libraries)
NjR
Identifier
(type = doi)
doi:10.7282/T34F1Q0W
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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
Published
RightsEvent
Type
Permission or license
Label
Non-exclusive license to share the video presentation via RUcore.
Place
Cambridge, MA
DateTime
(encoding = w3cdtf);
(qualifier = exact)
2011-06-17
AssociatedEntity
Role
Licensee
Name
Thomas Bonnenfant
Affiliation
Section Manager, Contracts and Grants, Smithsonian Astrophysical Observatory
RightsHolder
(type = corporate)
Name
Smithsonian Astrophysical Observatory
Role
Copyright holder
Address
60 Garden St.
Cambridge, MA 02138
Cambridge, MA 02138
ContactInformationDate
2011-06-17
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Source
SourceTechnical
SourceType
Videotape
Duration
00:05:41
PictureQualities
Color
color
SignalFormat
NTSC (composite color)
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Technical
ContentModel
Video
Generation
Digital preservation master
PreservationLevel
full
System
MS Video
Duration
00:05:41
Frame
Height
640
Width
480
Rate
29.97 fps
AspectRatio
4:3
Structure
interlaced
SignalFormat
NTSC (composite color)
SoundSampling
SamplingRate
44.1 kHz
BitsPerSample
16-bit
WordSize
3-byte
VideoSampling
SamplingSize
4:2:2
WordSize
3-byte
BitsPerSample
24-bit
SoundPresent
yes
Sound
Channels
NumberOfChannels
2
SoundField
stereo
FormatColors
Color
Note
Uncompressed video. Video codec name: full frame uncompressed. Video codec quality: code regenerating. Sound sampling rate 44.1 kHz; bits per sample, 16-bit, word size, 3-byte.
MimeType
(TYPE = file)
application/pdf
MimeType
(TYPE = container)
application/x-tar
FileSize
(UNIT = bytes)
1294213120
Checksum
(METHOD = SHA1)
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MimeType
(TYPE = container)
application/x-tar
FileSize
(UNIT = bytes)
92160
Checksum
(METHOD = SHA1)
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Statistical Profile