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)
Subject
(authority = NCTM Content)
Topic
Number and operations
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_mathProblem)
Subject
(authority = rbdil_mathTools)
Subject
(authority = rbdil_setting)
Subject
(authority = rbdil_gradeLevel)
Subject
(authority = rbdil_gradeLevel)
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)
Subject
(authority = rbdil_topic)
Subject
(authority = rbdil_topic)
Subject
(authority = rbdil_schoolType)
Subject
(authority = rbdil_studentGender)
Subject
(authority = rbdil_studentEthnicity)
Subject
(authority = rbdil_cameraView)
Subject
(authority = rbdil_cameraView)
Subject
(authority = LCSH)
Topic
Manipulatives (Education)--Case studies
Subject
(authority = rbdil_topic)
Subject
(authority = rbdil_cameraView)
Subject
(authority = rbdil_gradeLevel)
Subject
(authority = rbdil_district)
Geographic
Kenilworth Public Schools
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
Place
PlaceTerm
(type = text)
Cambridge, MA
Publisher
Annenberg Learner
Extension
DescriptiveEvent
Label
Workshops (web-based) utilize the video PUP Math Towers
AssociatedEntity
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
Name
Harvard-Smithsonian Center for Astrophysics
Reference
http://www.cfa.harvard.edu/
AssociatedObject
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
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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