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Pizza problems with four and five toppings, clip 4 of 6: Justifying the isomorphism

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Pizza problems with four and five toppings, clip 4 of 6: Justifying the isomorphism
Identifier (type = rbdil)
A21A22-CMB-PIZZA-CLIP004
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http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000054911
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English
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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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Critical thinking in children--New Jersey--Case studies
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Pizza
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Recognizing an isomorphism
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Referencing a previous problem
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Pascal's triangle
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11
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Kenilworth Public Schools
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Country
UNITED STATES
State
New Jersey
County
Union County
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Kenilworth (N.J.)
Abstract (type = summary)
In the fourth of six clips, the four students develop the structural isomorphism between adding an additional pizza topping choice and the addition rule for successive rows of Pascal’s Triangle and notice that the growth is exponential for 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?" In this clip Stephanie, with support from Shelly, explains to the researcher how the addition rule of Pascal’s Triangle can be explained in terms of pizza options when a fourth topping option is added to the possible choices available with three toppings. Robert notices and describes how this growth is exponential and is similar to the Towers Problems.
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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 4 of 6: Justifying the isomorphism. [video]. Retrieved from http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000054911
Note (type = available formats)
Available in QuickTime streaming and downloadable Flash digital video files.
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Ralph S.
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Robert B. Davis Institute for learning
CopyrightDate
1999-03-01
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Robert B. Davis Institute for Learning Mathematics Education Collection
Identifier (type = local)
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Identifier (type = doi)
doi:10.7282/T3VX0GBF
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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
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
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Type
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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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Role
Licensor
Name
Maher, Carolyn A.
Affiliation
Director, Robert B. Davis Institute for Learning, Rutgers Graduate School of Education
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