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)
Subject
(authority = rbdil_gradeLevel)
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_mathStrand)
Subject
(authority = rbdil_mathStrand)
Subject
(authority = rbdil_mathProblem)
Subject
(authority = rbdil_mathTools)
Subject
(authority = rbdil_setting)
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
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)
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 = rbdil_mathProblem)
Subject
(authority = rbdil_topic)
Subject
(authority = rbdil_topic)
Subject
(authority = rbdil_topic)
Subject
(authority = LCSH)
Topic
Learning, Psychology of--Case studies
Subject
(authority = rbdil_district)
Geographic
Kenilworth Public Schools
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
Label
Workshops (web-based) utilize the video PUP Math pizza, Clip 2 of 2: Whole and Half Pizzas with Four Toppings
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
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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