Staff View
PUP Math: Gang of four

Descriptive

TypeOfResource
MovingImage
Identifier (type = rbdil)
PM2_GangOfFour2
Genre (authority = RURes_Genre)
Research data
Genre (authority = RURes_dataGenre)
Observational data
Genre (authority = RURes_dataLifecycle)
Edited data
Genre (authority = RURes_dataLifecycle)
Repurposed data
Genre (authority = RURes_qualitativeMethod)
Educational interventions (large group)
Genre (authority = RURes_researchDataType)
Longitudinal data
Genre (authority = RURes_dataCollectionSetting)
School
Genre (authority = RURes_researchMethodology)
Qualitative research
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Milin (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Jeff (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Michelle I. (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Stephanie (student)
Subject
Name (authority = RBDIL_corporate)
NamePart (type = corporate)
Harding Elementary 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
3-5
Subject (authority = NCTM Content)
Topic
Number and operations
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_gradeLevel)
Topic
4
Subject (authority = rbdil_mathStrand)
Topic
Counting
Subject (authority = rbdil_mathProblem)
Topic
Towers
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Guessing and checking
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Controlling for variables
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Recognizing a pattern
Subject (authority = rbdil_representations)
Topic
Drawings
Subject (authority = rbdil_representations)
Topic
Organized lists
Subject (authority = rbdil_setting)
Topic
Informal learning
Subject (authority = rbdil_studentGender)
Topic
Mixed
Subject (authority = rbdil_studentEthnicity)
Topic
White
Subject (authority = rbdil_schoolType)
Topic
Public school
Subject (authority = RURes_subjectOfStudy)
Topic
Sample of human subjects
Subject (authority = rbdil_cameraView)
Topic
Classroom view
Subject (authority = rbdil_cameraView)
Topic
Presentation view
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 is part of The Private Universe Project in Mathematics and includes narrative voice-over and interview with researcher, Carolyn Maher interspersed with footage of a group interview with Jeff, Michelle, Milin and Stephanie. The group interview, which lasted about an hour, occurred after students worked in the classroom on building towers of height five selecting from two colors of Unifix cubes and participated in individual interviews to discuss their thinking. Maher begins the interview by asking the 4th graders what they remembered about the problem. The students also have considered towers of different heights that can be built from two colors of cubes, and from their experiences they describe patterns that they have noticed. They use markers and paper to construct representations of towers and then use the drawings to explain their ideas. As the students share different kinds of patterns and reasoning with the group, they are asked to convince others with justifications for their solutions. Researcher Alice Alston observes the interview.
PhysicalDescription
Extent (unit = digital file(s))
1
InternetMediaType
video/quicktime
InternetMediaType
video/x-flv
Note (type = supplementary materials)
Transcript and student work are also available.
Note (type = APA citation)
Smithsonian Astrophysical Observatory. (2000). PUP Math: Gang of four [video]. Retrieved from
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)
Alston
NamePart (type = given)
Alice
Role
RoleTerm (authority = marcrelator); (type = text)
Researcher
OriginInfo
DateCreated
2000
Place
PlaceTerm (type = text)
Cambridge, MA
Publisher
Annenberg Learner
CopyrightDate
2000
DateIssued
2000
Extension
DescriptiveEvent
Type
Related publication
Label
Workshops (web-based) utilize the video PUP Math: Gang of Four.
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.
AssociatedEntity
Role
Creator
Name
Harvard-Smithsonian Center for Astrophysics
Reference
http://www.cfa.harvard.edu/
Extension
DescriptiveEvent
Type
Related publication
Label
Journal article references the video footage that includes PUP Math: Gang of four.
DateTime
1996
AssociatedEntity
Role
Author
Name
Maher, Carolyn Alexander
Affiliation
Rutgers, the State University of New Jersey
AssociatedEntity
Role
Author
Name
Martino, Amy Marie.
AssociatedObject
Type
Journal article
Relationship
Is Referenced by
Name
The development of the idea of mathematical proof: A 5-year case study in Journal for Research in Mathematics Education 27 (2), 1996. pp. 194-214.
Reference (type = digital)
http://search.proquest.com/docview/62673047?accountid=13626
Extension
DescriptiveEvent
Type
Related publication
Label
Book chapter references the video footage that includes PUP Math: Gang of four.
DateTime (qualifier = exact)
1997
AssociatedEntity
Role
Author
Name
Maher, Carolyn Alexander
Affiliation
Rutgers, the State University of New Jersey.
AssociatedEntity
Role
Author
Name
Martino, Amy Marie
AssociatedEntity
Role
Editor
Name
Mansfield, Helen.
AssociatedEntity
Role
Editor
Name
Pateman, Neil A.
AssociatedEntity
Role
Editor
Name
Bednarz, Nadine.
AssociatedObject
Type
Book chapter
Relationship
Is Referenced by
Name
Conditions for conceptual change: from pattern recognition to theory posing (pp. 58-81) in H. Mansfield, N.A. Pateman and N. Bednarz (eds.), Young children and mathematics: concepts and their representation. Sydney, Australia: Australian Association of Mathematics Teachers, 1997.
Identifier (type = isbn)
1875900136 9781875900138
Extension
DescriptiveEvent
Type
Related publication
Label
Book chapter references the video footage that includes PUP Math: Gang of four.
DateTime
1996
AssociatedEntity
Role
Author
Name
Maher, Carolyn Alexander
Affiliation
Rutgers, the State University of New Jersey
AssociatedEntity
Role
Author
Name
Martino, Amy Marie
AssociatedObject
Type
Book chapter
Relationship
Is Referenced by
Name
Young children invent methods of proof: the "gang of four” (pp. 1-21) in L. P. Steffe and P. Nesher (eds.), Theories of mathematical learning. Mahwah, NJ: Lawrence E. Erlbaum Associates, 1996.
Identifier (type = isbn)
0805816615
Reference (type = physical)
QA11.A1T47 1996
Detail
Available for circulation from the Rutgers University Libraries collection.
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
Maher, C.A. and Martino, A.M. (1996) The Development of the idea of mathematical proof: A 5-year case study in Journal for Research in Mathematics Education, 27 (2), 194-214, 1996.
RelatedItem (type = is referenced by)
TitleInfo
Title
Maher, C.A. and Martino, A.M. (1997) Conditions for conceptual change: from pattern recognition to theory posing (pp. 58-81) in H. Mansfield and N.H. Pateman (eds.) Young children and mathematics: concepts and their representation. Sydney, Australia: Australian Association of Mathematics Teachers, 1997.
RelatedItem (type = is referenced by)
TitleInfo
Title
Maher, C.A. and Martino, A.M. (1996) Young children invent methods of proof: the "gang of four.” (pp. 1-21) In L. P. Steffe and P. Nesher (eds.), Theories of mathematical learning. Mahwah, NJ: Lawrence E. Erlbaum Associates, 1996.
Name (type = corporate)
NamePart
Harvard-Smithsonian Center for Astrophysics
Role
RoleTerm (authority = marcrelator); (type = text)
Creator
TargetAudience (authority = RURes_discipline)
Social science
TargetAudience (authority = RURes_domain)
Mathematics education
TitleInfo
Title
PUP Math: Gang of four
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000064470
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/T3CC0ZND
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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
ContactInformationDate
2011-06-17
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Source

SourceTechnical
SourceType
Videotape
Duration
00:13:51
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Technical

ContentModel
Video
Generation
Digital preservation master
PreservationLevel
full
System
MS Video
Duration
00:13:51
Frame
Height
640
Width
480
Rate
29.97 fps
AspectRatio
4:3
Structure
interlaced
SignalFormat
NTSC (composite color)
VideoSampling
SamplingSize
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WordSize
3-byte
BitsPerSample
24-bit
SoundPresent
yes
Sound
Channels
NumberOfChannels
2
SoundField
stereo
Sampling
SamplingRate
44.1 kHz
BitsPerSample
16-bit
WordSize
3-byte
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.
BitRateReduction
Compression
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uncompressed
Codec
CodecName
Full frame uncompressed
CodecQuality
code regenerating
CreatingApplication
DateCreated
2000
MimeType (TYPE = file)
application/pdf
MimeType (TYPE = container)
application/x-tar
FileSize (UNIT = bytes)
655360
Checksum (METHOD = SHA1)
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MimeType (TYPE = container)
application/x-tar
FileSize (UNIT = bytes)
2147483647
Checksum (METHOD = SHA1)
a55047c5bc1ef57a4124df45643991324a145348
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