RUcore: Rutgers University Community Repository
PUP Math Pizza, Clip 1 of 2: Pizza halves with two toppings
Descriptive
TypeOfResource
MovingImage
Identifier
(type = rbdil)
PM3_Pizza2Toppings
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)
Amy-Lynn (student)
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 = corporate)
Jeff (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
Matt (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Michael A. (Kenilworth, student)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Michelle I. (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Michelle R. (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Milin (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Robert (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 = rbdil_gradeLevel)
Topic
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_mathStrand)
Topic
Combinatorics
Subject
(authority = rbdil_mathProblem)
Topic
Half Pizza
Subject
(authority = rbdil_mathTools)
Topic
Color markers
Subject
(authority = rbdil_setting)
Topic
Classroom
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Guessing and checking
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Direct reasoning
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Controlling for variables
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Reasoning by cases
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
Work view
Subject
(authority = rbdil_cameraView)
Topic
Student view
Subject
(authority = rbdil_topic)
Topic
Charts
Subject
(authority = rbdil_topic)
Topic
Combinations
Subject
(authority = LCSH)
Topic
Learning, Psychology of--Case studies
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)
In this edited video, the first of a set of two clips developed for the Private Universe Project in Mathematics, 12 fifth grade students during two consecutive classroom sessions work in two groups, one with five students and the other with seven, to construct convincing solutions for the Pizza Halves with Two Toppings problem. The students construct various representations, including drawings and symbolic charts to find and justify their conclusions about the number of possible pizza choices. There are voice-over explanations that refer to the children's representations and strategies interspersed throughout the edited video episode, and interpretive narrative by researcher Carolyn Maher and several of the students who reflect about their earlier problem-solving activity several years later as high school students.
Problem statement: Capri Pizza has asked us to help design a form to keep track of certain pizza sales. Their standard “plain” pizza contains cheese. On this cheese pizza, one or two toppings can be added to either half of the plain pie or whole pie. How many choices do customers have if they can choose from two different toppings (sausage and pepperoni) that can be placed on either a whole cheese pizza or half of a cheese pizza? List all possibilities. Show your plan for determining these choices. Convince us that you have accounted for all possibilities and that there could be no more.
Problem statement: Capri Pizza has asked us to help design a form to keep track of certain pizza sales. Their standard “plain” pizza contains cheese. On this cheese pizza, one or two toppings can be added to either half of the plain pie or whole pie. How many choices do customers have if they can choose from two different toppings (sausage and pepperoni) that can be placed on either a whole cheese pizza or half of a cheese pizza? List all possibilities. Show your plan for determining these choices. Convince us that you have accounted for all possibilities and that there could be no more.
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. (1993). PUP Math Pizza, Clip 1 of 2: Pizza halves with two toppings
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)
Alston
NamePart
(type = given)
Alice
Role
RoleTerm
(authority = marcrelator);
(type = text)
Researcher
OriginInfo
DateCreated
(encoding = w3cdtf)
1993-03-01
Place
PlaceTerm
(type = text)
Cambridge, MA
Publisher
Annenberg Learner
CopyrightDate
(encoding = w3cdtf)
1993-03-01
Extension
DescriptiveEvent
Type
Related publication
Label
Workshops (web-based) utilize the video PUP Math Pizza, Clip 1 of 2: Pizza halves with two toppings
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
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 Pizza, Clip 1 of 2: Pizza halves with two toppings
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000062049
RelatedItem
(type = host)
TitleInfo
Title
Robert B. Davis Institute for Learning Mathematics Education Collection
Identifier
(type = local)
rucore00000001201
Location
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NjNbRU
Location
PhysicalLocation
(authority = marcorg);
(displayLabel = Rutgers University. Libraries)
NjR
Identifier
(type = doi)
doi:10.7282/T3HM57PQ
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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
00:13:44
PictureQualities
Color
color
SignalFormat
NTSC (composite color)
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Technical
ContentModel
Video
Generation
Digital preservation master
PreservationLevel
full
System
MS Video
Duration
00:13:44
Frame
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Statistical Profile