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Pizza problems with four and five toppings, clip 5 of 6: Explaining solutions
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MovingImage
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Title
Pizza problems with four and five toppings, clip 5 of 6: Explaining solutions
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A21A22-CMB-PIZZA-CLIP005
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http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000054912
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English
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Research data
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Action research
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(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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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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Pizza
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(authority = rbdil_forms of reasoning, strategies and heuristics)
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Inductive reasoning
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(authority = rbdil_forms of reasoning, strategies and heuristics)
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Considering a simpler problem
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(authority = rbdil_topic)
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Pascal's triangle
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11
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White
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Kenilworth Public Schools
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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?
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?
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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.
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Kiczek
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Regina D.
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Researcher
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New Brunswick, NJ
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Robert B. Davis Institute for learning
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1999-03-01
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Title
A21, Pizza problems with four and five toppings (student view), grade 11, March 1, 1999, raw footage
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A22, Pizza problems with four and five toppings (work view), grade 11, March 1, 1999, raw footage
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A22-19990301-KNWH-WV-CLASS-GR11-CMB-PIZZA-RAW
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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
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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
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Copyright protected
Availability
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Open
Reason
Permission or license
Publication
Status
Unpublished
RightsHolder
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Name
Robert B. Davis Institute for Learning
Role
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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
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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.
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(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
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