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Pizza problems with four and five toppings, clip 5 of 6: Explaining solutions

Descriptive

TypeOfResource
MovingImage
TitleInfo (ID = T-1)
Title
Pizza problems with four and five toppings, clip 5 of 6: Explaining solutions
Identifier (type = rbdil)
A21A22-CMB-PIZZA-CLIP005
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000054912
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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Defined population
Subject (ID = SBJ-1)
Name (authority = RBDIL_personal)
NamePart (type = personal)
Robert (student)
Subject (ID = SBJ-2)
Name (authority = RBDIL_personal)
NamePart (type = personal)
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
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Topic
Number and operations
Subject (ID = SBJ-21); (authority = NCTM Content)
Topic
Data analysis and probability
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Topic
Problem solving
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Reasoning and proof
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Communication
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Connections
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Topic
Representation
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Topic
Counting
Subject (ID = SBJ-28); (authority = rbdil_mathStrand)
Topic
Combinatorics
Subject (ID = SBJ-29); (authority = rbdil_mathProblem)
Topic
Pizza
Subject (ID = SBJ-30); (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Inductive reasoning
Subject (ID = SBJ-31); (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Recursive reasoning
Subject (ID = SBJ-32); (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Considering a simpler problem
Subject (ID = SBJ-33); (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Referencing a previous problem
Subject (ID = SBJ-34); (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
Subject (ID = SBJ-1); (authority = rbdil_setting)
Topic
Informal learning
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Topic
Work view
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Topic
Student view
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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)
In this fifth of six clips, four 11th grade students reconsider Pascal's Triangle as it relates to the Pizza Problem and connect this problem with the Towers Problem. As the students summarize their ideas and solutions to the researcher, they discuss how the problem apperas similar to building Unifix towers when selecting from different colored cubes. During their summary, Robert proposes a slightly different representation of Pascal's Triangle from the one developed by Stephanie and Shelly, nd the group agrees that his suggestion is a better fit for the general form of the pizza problem. Finally, they restate their earlier conclusion that the total number of pizza choices for a particular number of tippings is 2 to the power of that number of toppings.

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 a 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, as 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 5 of 6. [video]. Retrieved from http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000054912
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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Researcher
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
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A21-19990301-KNWH-SV-CLASS-GR11-CMB-PIZZA-RAW
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TitleInfo
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RelatedItem (type = host)
TitleInfo
Title
Robert B. Davis Institute for Learning Mathematics Education Collection
Identifier (type = local)
rucore00000001201
Identifier (type = doi)
doi:10.7282/T30K28DD
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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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Format
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Gauge
1/2-inch
Duration
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PictureQualities
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color
SignalFormat
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Technical

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Generation
Digital preservation master
PreservationLevel
full
DateCreated
2009-09-23
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