Staff View
PUP Math pizza, Clip 2 of 2: Whole and Half Pizzas with Four Toppings

Descriptive

TypeOfResource
MovingImage
Identifier (type = rbdil)
PM3_Pizza4Toppings
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 = 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)
Michelle I. (student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = corporate)
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_mathStrand)
Topic
Multiplication
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
Direct reasoning
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Reasoning by cases
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_topic)
Topic
Representations
Subject (authority = rbdil_topic)
Topic
Charts
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_mathProblem)
Topic
Pizza
Subject (authority = rbdil_topic)
Topic
Drawings
Subject (authority = rbdil_topic)
Topic
Organized lists
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)
This second clip in a set of two edited videos developed for the Private Universe Project in Mathematics, focuses on 12 fifth grade students during an extended session work individually and with their classmates to construct and justify solutions to two problems involving pizza choices. For the first problem, the students were asked to find all possible choices for "whole" pizzas when four toppings were available. The second problem extended the first by offering the additional option of pizza halves with different choices, still with four toppings available. 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.
First problem statement: Capri Pizza has asked you to help design a form to keep track of certain pizza choices. They offer a standard “plain” pizza with cheese and tomato sauce. A customer can then select from the following toppings: peppers, sausage, mushrooms and pepperoni. How many choices does a customer have? List all possible choices. Find a way to convince each other that you have accounted for all possibilities.
Second 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, two, three, or four 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 four different toppings (peppers, mushrooms, 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 2 of 2: Whole and Half Pizzas with Four Toppings [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)
Alston
NamePart (type = given)
Alice
Role
RoleTerm (authority = marcrelator); (type = text)
Researcher
OriginInfo
DateCreated (encoding = w3cdtf)
1993-04-02
Place
PlaceTerm (type = text)
Cambridge, MA
Publisher
Annenberg Learner
CopyrightDate (encoding = w3cdtf)
1993-04-02
Extension
DescriptiveEvent
Type
Related publication
Label
Workshops (web-based) utilize the video PUP Math pizza, Clip 2 of 2: Whole and Half Pizzas with Four 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.
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 2 of 2: Whole and Half Pizzas with Four Toppings
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000062051
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/T3NC60FW
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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
00:12:08
PictureQualities
Color
color
SignalFormat
NTSC (composite color)
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Technical

ContentModel
Video
Generation
Digital preservation master
PreservationLevel
full
System
MS Video
Duration
00:12:08
Frame
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640
Width
480
Rate
29.97 fps
AspectRatio
4:3
Structure
interlaced
SignalFormat
NTSC (composite color)
SoundSampling
SamplingRate
44.1 kHz
BitsPerSample
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WordSize
3-byte
VideoSampling
SamplingSize
4:2:2
WordSize
3-byte
BitsPerSample
24-bit
SoundPresent
yes
Sound
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NumberOfChannels
2
SoundField
stereo
FormatColors
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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)
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FileSize (UNIT = bytes)
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Checksum (METHOD = SHA1)
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application/x-tar
FileSize (UNIT = bytes)
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Checksum (METHOD = SHA1)
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