RUcore: Rutgers University Community Repository
Pizza problems with four and five toppings, clip 6 of 6: Connecting pizzas and towers
Descriptive
TypeOfResource
MovingImage
TitleInfo
(ID = T-1)
Title
Pizza problems with four and five toppings, clip 6 of 6: Connecting pizzas and towers
Identifier
(type = rbdil)
A21A22-CMB-PIZZA-CLIP006
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000054913
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
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(authority = RURes_DataTypeOrMethodology)
Educational interventions (small group)
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(authority = RURes_DataTypeOrMethodology)
Field research
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Longitudinal data
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Continuous monitoring
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Defined population
Subject
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Name
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NamePart
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Robert (student)
Subject
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Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Stephanie (student)
Subject
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Name
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(type = personal)
Amy-Lynn (student)
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Michelle I. (student)
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David Brearley High School (Kenilworth, N.J.)
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Mathematics education
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Learning, Psychology of--Case studies
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Critical thinking in children--New Jersey--Case studies
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9-12
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Combinatorics
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Topic
Pizza
Subject
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(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Inductive reasoning
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(authority = rbdil_forms of reasoning, strategies and heuristics)
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Recursive reasoning
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Controlling for variables
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Considering a simpler problem
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Topic
Recognizing an isomorphism
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(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Referencing a previous problem
Subject
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(authority = rbdil_topic)
Topic
Exponents
Subject
(ID = SBJ-1);
(authority = rbdil_topic)
Topic
Representations
Subject
(ID = SBJ-1);
(authority = rbdil_topic)
Topic
Pascal's triangle
Subject
(ID = SBJ-1);
(authority = rbdil_gradeLevel)
Topic
11
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(authority = rbdil_setting)
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Informal learning
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Work view
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Mixed
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(ID = SBJ-1);
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White
Subject
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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)
In the final clip the students generalize the exponential structure of the Pizza Problem and describe the relationship between two consecutive rows of Pascal’s Triangle with reference both to the Pizza problem and to building Unifix towers when selecting from two colors. In summarizing their ideas to one of the researchers, Ms Kiczek, the students generalize the exponential structure of the problem for n toppings. As they explain their solutions to Dr. Maher, another researcher, Shelly explains how the addition rule between consecutive rows of the Triangle applies to Pizza toppings, selecting from different numbers of toppings. Stephanie points out that there is a parallel structure when building Unifix towers of different heights, selecting from two colors. Robert and Amy-Lynn also contribute ideas that explain how the choices for pizzas selecting from n toppings relate to constructing towers n tall selecting from two colors. 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 6 of 6: Connecting pizzas and towers. [video]. Retrieved from http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000054913
Note
(type = available formats)
Available in QuickTime streaming and downloadable Flash digital video files.
Name
(ID = NAME-1);
(type = personal)
NamePart
(type = family)
Kiczek
NamePart
(type = given)
Regina D.
Role
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(type = text)
Researcher
Name
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NamePart
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Maher
NamePart
(type = given)
Carolyn Alexander
Role
RoleTerm
(authority = marcrelator);
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Researcher
Affiliation
Rutgers, the State University of New Jersey
OriginInfo
Place
PlaceTerm
(type = text)
New Brunswick, NJ
Publisher
Robert B. Davis Institute for learning
CopyrightDate
1999-03-01
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NjR
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TitleInfo
Title
A21, Pizza problems with four and five toppings (student view), grade 11, March 1, 1999, raw footage
Identifier
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A21-19990301-KNWH-SV-CLASS-GR11-CMB-PIZZA-RAW
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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/T34B3144
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Rights
RightsDeclaration
(AUTHORITY = rbdil1_v1);
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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
10 Seminary Place
New Brunswick, NJ 08901-1183
ContactInformationDate
2009-11-03
RightsEvent
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(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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Source
SourceTechnical
SourceType
Videotape
Format
S-VHS
Gauge
1/2-inch
Duration
00:11:09
PictureQualities
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color
SignalFormat
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Technical
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DateCreated
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Statistical Profile