Staff View
PUP Math Towers

Descriptive

TypeOfResource
MovingImage
Identifier (type = rbdil)
PM2_Towers
Genre (authority = RURes_RUResearchGenre)
Research data
Genre (authority = RURes_DataTypeOrMethodology)
Action research
Genre (authority = RURes_DataTypeOrMethodology)
Direct observation
Genre (authority = RURes_DataTypeOrMethodology)
Educational interventions (large 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)
Brian (Kenilworth, student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Dana (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Jeff (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Matt (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Michael A. (Kenilworth, student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Michael M. (Kenilworth, student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Michelle I. (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Milin (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Romina (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 = 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_mathStrand)
Topic
Counting
Subject (authority = rbdil_mathProblem)
Topic
Towers
Subject (authority = rbdil_mathTools)
Topic
Unifix cubes
Subject (authority = rbdil_setting)
Topic
Classroom
Subject (authority = rbdil_gradeLevel)
Topic
3
Subject (authority = rbdil_gradeLevel)
Topic
4
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Guessing and checking
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Recognizing a pattern
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Controlling for variables
Subject (authority = rbdil_topic)
Topic
Drawings
Subject (authority = rbdil_topic)
Topic
Organized lists
Subject (authority = rbdil_topic)
Topic
Representations
Subject (authority = rbdil_schoolType)
Topic
Public school
Subject (authority = rbdil_studentGender)
Topic
Mixed
Subject (authority = rbdil_studentEthnicity)
Topic
Mixed
Subject (authority = rbdil_cameraView)
Topic
Presentation view
Subject (authority = rbdil_cameraView)
Topic
Student view
Subject (authority = LCSH)
Topic
Manipulatives (Education)--Case studies
Subject (authority = rbdil_topic)
Topic
Physical models
Subject (authority = rbdil_cameraView)
Topic
Classroom view
Subject (authority = rbdil_gradeLevel)
Topic
4
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 and interview with researcher, Carolyn Maher interspersed with footage of students engaged with problem solving and discussion with researchers about their work on building towers with unifix cubes available as a math manipulative. It begins when the students are in 3rd grade where they work with a partner on the problem: How many different towers four blocks tall can you build when selecting from two colors? Students work on the task for about an hour on the first day. The task is challenging for them, and it pushes them to invent strategies and heuristics for problem solving. About five minute into the task, the students discover that they need to check for duplicates as they try to find all the possible combinations. This prompts them to develop ways of organizing the towers they build, as they try to convince themselves, their partners, and the researchers that they have found them all and have no duplicates. The researchers return the next day and ask the students to consider building towers three cubes tall selecting from two colors of cubes. They ask the students whether they think there will be more, the same amount, or fewer towers than when they are four cubes tall. Student responses may be surprising, and they are given opportuntity to explore whether or not their conjectures are correct, as well as discover reasons why. Next, the video shows the students as 4th graders working on the task to build towers five cubes tall selecting from two colors and convince others that they have found all possible combinations. As before, the challenging nature of the task gives students opportunity to spontaneously develop new strategies. Asking students to provide convincing arguments as justification for their solutions pushes them to move beyond trial and error. The researchers conduct interviews with students the following day to find out more about what they were thinking, and about the extent to which students are aware of their own thinking.
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 Towers [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)
Martino
NamePart (type = given)
Amy Marie
Role
RoleTerm (authority = marcrelator); (type = text)
Researcher
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 Towers
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/
AssociatedObject
Type
Workshop
Relationship
References
Name
Private Universe Project in Mathematics Workshops
Reference
http://www.learner.org/workshops/pupmath/about/overview.html
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
Name (type = corporate)
NamePart
Harvard-Smithsonian Center for Astrophysics
Role
RoleTerm (authority = marcrelator); (type = text)
Creator
TitleInfo
Title
PUP Math Towers
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000062044
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/T3R49Q0D
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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
00:17:03
PictureQualities
Color
color
SignalFormat
NTSC (composite color)
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Technical

ContentModel
Video
Generation
Digital preservation master
PreservationLevel
full
System
MS Video
Duration
00:17:03
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)
2147483647
Checksum (METHOD = SHA1)
bc8d9444d4ee0ee86ce8b4085bbeeaeadafda3dd
MimeType (TYPE = container)
application/x-tar
FileSize (UNIT = bytes)
112640
Checksum (METHOD = SHA1)
e7e7dd505915bc49f3451508178b40a1fa59c083
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