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Pizza problems with four and five toppings, clip 2 of 6: Finding an answer

Descriptive

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MovingImage
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Title
Pizza problems with four and five toppings, clip 2 of 6: Finding an answer
Identifier (type = rbdil)
A21A22-CMB-PIZZA-CLIP002
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000054909
Language
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English
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Action research
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Educational interventions (small group)
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Field research
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Robert (student)
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Stephanie (student)
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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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Counting
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Combinatorics
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Topic
Pizza
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Topic
Direct reasoning
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Representations
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Topic
Tree diagrams
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Pascal's triangle
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Topic
11
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Informal learning
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Work view
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White
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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 second of 6 clips, the four 11th grade students generate an exhaustive list of pizza options choosing from 4 toppings. They recognize that the 16 choices correspond to the fourth row of Pascal’s Triangle and predict 32 choices when choosing from 5 toppings in the problem: "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?" During this clip, each student constructs modified tree diagrams to represent systematic lists of pizza choices. They notice patterns and categorize their list into cases. They write what they remember to be the first several rows of Pascal's Triangle in order to see whether the numbers in each row match the corresponding number of toppings for pizza choices with fewer than four toppings.
PhysicalDescription
Extent (unit = digital file(s))
1
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video/quicktime
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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 2 of 6. [video]. Retrieved from http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000054909
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
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NjNbRU
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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
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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/T3MC8ZV9
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Rights

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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
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
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Duration
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PictureQualities
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Generation
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DateCreated
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