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Pizza problems with four and five toppings, Clip 1 of 6: Approaching the problem

Descriptive

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MovingImage
TitleInfo (ID = T-1)
Title
Pizza problems with four and five toppings, Clip 1 of 6: Approaching the problem
Identifier (type = rbdil)
A21A22-CMB-PIZZA-CLIP001
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000054908
Language
LanguageTerm (authority = ISO 639-3:2007)
English
Genre (authority = RURes_RUResearchGenre)
Research data
Genre (authority = RURes_DataTypeOrMethodology)
Action research
Genre (authority = RURes_DataTypeOrMethodology)
Direct observation
Genre (authority = RURes_DataTypeOrMethodology)
Educational interventions (small group)
Genre (authority = RURes_DataTypeOrMethodology)
Field research
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Longitudinal data
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Continuous monitoring
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Undefined population
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Robert (student)
Subject (ID = SBJ-2)
Name (authority = RBDIL_personal)
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Stephanie (student)
Subject (ID = SBJ-3)
Name (authority = RBDIL_personal)
NamePart (type = personal)
Amy-Lynn (student)
Subject (ID = SBJ-4)
Name (authority = RBDIL_personal)
NamePart (type = personal)
Michelle I. (student)
Subject (ID = SBJ-5)
Name (authority = RBDIL_corporate)
NamePart (type = corporate)
David Brearley High School (Kenilworth, N.J.)
Subject (ID = SBJ-6); (authority = lcsh)
Topic
Mathematics education
Subject (ID = SBJ-7); (authority = lcsh)
Topic
Learning, Psychology of--Case studies
Subject (ID = SBJ-8); (authority = lcsh)
Topic
Critical thinking in children--New Jersey--Case studies
Subject (ID = SBJ-9); (authority = Grade range)
Topic
9-12
Subject (ID = SBJ-209876543210); (authority = NCTM Content)
Topic
Number and operations
Subject (ID = SBJ-21); (authority = NCTM Process)
Topic
Problem solving
Subject (ID = SBJ-22); (authority = NCTM Process)
Topic
Reasoning and proof
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Topic
Communication
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Topic
Connections
Subject (ID = SBJ-25); (authority = NCTM Process)
Topic
Representation
Subject (ID = SBJ-26); (authority = rbdil_mathStrand)
Topic
Counting
Subject (ID = SBJ-27); (authority = rbdil_mathStrand)
Topic
Combinatorics
Subject (ID = SBJ-28); (authority = rbdil_mathProblem)
Topic
Pizza
Subject (ID = SBJ-29); (authority = rbdil_mathTools)
Topic
Calculator
Subject (ID = SBJ-30); (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Direct reasoning
Subject (ID = SBJ-31); (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Reasoning by cases
Subject (ID = SBJ-32); (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Guessing and checking
Subject (ID = SBJ-33); (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Referencing a previous problem
Subject (ID = SBJ-34); (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Recognizing a pattern
Subject (ID = SBJ-35); (authority = rbdil_topic)
Topic
Factorials
Subject (ID = SBJ-36); (authority = rbdil_topic)
Topic
Combinations
Subject (ID = SBJ-1); (authority = rbdil_topic)
Topic
Representations
Subject (ID = SBJ-1); (authority = rbdil_topic)
Topic
Tree diagrams
Subject (ID = SBJ-1); (authority = rbdil_gradeLevel)
Topic
11
Subject (ID = SBJ-1); (authority = rbdil_setting)
Topic
Informal learning
Subject (ID = SBJ-1); (authority = rbdil_cameraView)
Topic
Work view
Subject (ID = SBJ-1); (authority = rbdil_cameraView)
Topic
Student view
Subject (ID = SBJ-1); (authority = rbdil_studentGender)
Topic
Mixed
Subject (ID = SBJ-1); (authority = rbdil_studentEthnicity)
Topic
White
Subject (ID = SBJ-1); (authority = rbdil_district)
Geographic
Kenilworth Public Schools
Subject (ID = SBJ-1)
HierarchicalGeographic
Country
UNITED STATES
State
New Jersey
County
Union County
City
Kenilworth (N.J.)
Abstract (type = summary)
This clip is the first of six featuring four grade 11 students, Robert, Stephanie, Shelly, and Amy Lynn, as they construct and justify solutions to the Pizza Problem. This clip focuses on Stephanie and Shelly as they consider alternate approaches to solve the problem. Stephanie suggests that previous problems, including Shirts and Pants and Towers, and strategies such as tree diagrams might be helpful. Shelly uses her calculator and knowledge of combinations and factorial procedures to conjecture about possible solutions. Each of the four students begins to list possible pizza options using partial tree diagrams to keep track of what they are doing.

PROBLEM STATEMENT "A local pizza shop has asked us to help design a form to keep track of certain pizza choices. They offer a plain pizza that is cheese and tomato sauce. A customer can then select from the following toppings: pepper, sausage, mushrooms, and pepperoni. How many different choices for pizza does a customer have? List all the choices. Find a way to convince each other that you have accounted for all possible choices. Suppose a fifth topping, anchovies, were available. How many different choices for pizza does a customer now have? Why?"
PhysicalDescription
Extent (unit = digital file(s))
1
InternetMediaType
video/quicktime
InternetMediaType
video/x-flv
TargetAudience (authority = Domain)
Education
Note (type = supplementary materials)
Transcript and student work are also available.
Note (type = APA citation)
Robert B. Davis Institute for Learning. (1999). Pizza problems with four and five toppings, Clip 1 of 6: Approaching the problem. [video]. Retrieved from http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000054908
Note (type = available formats)
Available in QuickTime streaming and downloadable Flash digital video files.
OriginInfo
Place
PlaceTerm (type = text)
New Brunswick, NJ
Publisher
Robert B. Davis Institute for learning
CopyrightDate
1999-03-01
Location
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NjNbRU
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers University. Libraries)
NjR
RelatedItem (type = host)
TitleInfo
Title
A21, Pizza problems with four and five toppings (student view), grade 11, March 1, 1999, raw footage
Identifier (type = rbdil)
A21-19990301-KNWH-SV-CLASS-GR11-CMB-PIZZA-RAW
RelatedItem (type = host)
TitleInfo
Title
A22, Pizza problems with four and five toppings (work view), grade 11, March 1, 1999, raw footage
Identifier (type = rbdil)
A22-19990301-KNWH-WV-CLASS-GR11-CMB-PIZZA-RAW
RelatedItem (type = host)
TitleInfo
Title
Robert B. Davis Institute for Learning Mathematics Education Collection
Identifier (type = local)
rucore00000001201
Identifier (type = doi)
doi:10.7282/T3GM874C
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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
Unpublished
RightsHolder (ID = CRH-1); (type = corporate)
Name
Robert B. Davis Institute for Learning
Role
Copyright holder
Telephone
732-932-7496, ext. 8262
Address
Rutgers Graduate School of Education
10 Seminary Place
New Brunswick, NJ 08901-1183
ContactInformationDate
2009-11-03
RightsEvent (ID = RE-1); (AUTHORITY = rulib)
Type
Permission or license
Label
Non-exclusive license to share the video presentation via RUcore.
Place
New Brunswick, NJ
DateTime
2009-11-03
Detail
Non-exclusive license to digitize and make openly available the videos and other collection resources of the Institute is on file in the office of the RUcore Collections Manager.
AssociatedEntity (ID = AE-1); (AUTHORITY = rulib)
Role
Licensor
Name
Maher, Carolyn A.
Affiliation
Director, Robert B. Davis Institute for Learning, Rutgers Graduate School of Education
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SourceTechnical
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Format
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Gauge
1/2-inch
Duration
00:04:27
PictureQualities
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color
SignalFormat
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Technical

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Generation
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DateCreated
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