Descriptive
TypeOfResource
MovingImage
TitleInfo
(ID = T-1)
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
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
Genre
(authority = RURes_DataTypeOrMethodology)
Longitudinal data
Genre
(authority = RURes_directObservationMethodology)
Continuous monitoring
Genre
(authority = RURes_subjectOfStudy)
Defined population
Subject
(ID = SBJ-1)
Name
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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
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(authority = lcsh)
Topic
Learning, Psychology of--Case studies
Subject
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(authority = lcsh)
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Critical thinking in children--New Jersey--Case studies
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Topic
Number and operations
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(authority = NCTM Process)
Topic
Reasoning and proof
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(authority = NCTM Process)
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(authority = NCTM Process)
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(ID = SBJ-25);
(authority = NCTM Process)
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Subject
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(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Considering a simpler problem
Subject
(ID = SBJ-32);
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Recursive reasoning
Subject
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(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Recognizing a pattern
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(authority = rbdil_topic)
Subject
(ID = SBJ-1);
(authority = rbdil_topic)
Subject
(ID = SBJ-1);
(authority = rbdil_topic)
Subject
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(authority = rbdil_gradeLevel)
Subject
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Subject
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Subject
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Geographic
Kenilworth Public Schools
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
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 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
Location
PhysicalLocation
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(displayLabel = Rutgers, The State University of New Jersey)
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
Identifier
(type = rbdil)
A21-19990301-KNWH-SV-CLASS-GR11-CMB-PIZZA-RAW
RelatedItem
(type = host)
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/T3MC8ZV9
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