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Taxicab problem, clip 1 of 5: the shortest distance between two points.

Descriptive

TypeOfResource
MovingImage
TitleInfo (ID = T-1)
Title
Taxicab problem, clip 1 of 5: the shortest distance between two points.
Identifier (type = local)
A02A26-GMY-TAXI-CLIP001
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000054816
Language
LanguageTerm (authority = ISO 639-3:2007)
English
Genre (authority = RURes_RUResearchGenre)
Research data
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Action research
Genre (authority = RURes_DataTypeOrMethodology)
Direct observation
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Educational interventions (small group)
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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)
Brian (Kenilworth, student)
Subject (ID = SBJ-2)
Name (authority = RBDIL_personal)
NamePart (type = personal)
Romina (student)
Subject (ID = SBJ-3)
Name (authority = RBDIL_personal)
NamePart (type = personal)
Jeff (student)
Subject (ID = SBJ-4)
Name (authority = RBDIL_personal)
NamePart (type = personal)
Michael A. (Kenilworth, student)
Subject (ID = SBJ-5)
Name (authority = RBDIL_corporate)
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David Brearley High School (Kenilworth, N.J.)
Subject (ID = SBJ-6); (authority = lcsh)
Topic
Mathematics education
Subject (ID = SBJ-7); (authority = lcsh)
Topic
Critical thinking in children--New Jersey--Case studies
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Topic
9-12
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Number and operations
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Algebra
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Geometry
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Data analysis and probability
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Problem solving
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Reasoning and proof
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Connections
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Representation
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Counting
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Combinatorics
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Topic
Taxicab
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Topic
Color markers
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Topic
Graph paper
Subject (ID = SBJ-33); (authority = rbdil_forms of reasoning, strategies and heuristics)
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Direct reasoning
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Representations
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Path diagrams
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12
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Informal learning
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Side view
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Mixed
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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 first of five clips, four twelfth grade students develop their initial strategies for approaching the Taxicab Problem. They determine the shortest distances to the three given points: A, B and C, and they successfully identify the number of shortest paths to the point A. They divide into pairs and begin to identify ways to find the number of shortest paths to Points B and C as they continue to investigate the problem.

PROBLEM STATEMENT: The problem was presented to the students with an accompanying representation on a single (fourth) quadrant of a coordinate grid of squares with the “taxi stand” located at (0,0) and the three “pick-up” points A (blue), B(red) and C(green) at (1,-4), (4,-3) and (5,-5) respectively, implying that movement could only occur horizontally or vertically toward a point. The problem states that: A taxi driver is given a specific territory of a town, as represented by the grid. All trips originate at the taxi stand. One very slow night, the driver is dispatched only three times; each time, she picks up passengers at one of the intersections indicated on the map. To pass the time, she considers all the possible routes she could have taken to each pick-up point and wonders if she could have chosen a shorter route. What is the shortest route from the taxi stand to each point? How do you know it is the shortest? Is there more than one shortest route to each point? If not, why not? If so, how many? Justify your answers.
PhysicalDescription
Extent (unit = digital file(s))
1
InternetMediaType
video/quicktime
InternetMediaType
video/x-flv
TargetAudience (authority = Domain)
Education
Note (type = supplementary materials)
Transcript is also available.
Note (type = APA citation)
Robert B. Davis Institute for Learning. (2000). Taxicab problem, clip 1 of 5: the shortest distance between two points. [video]. Retrieved from http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000054816
Note (type = available formats)
Available in QuickTime streaming and downloadable Flash digital video files.
Name (ID = NAME-1); (type = personal)
NamePart (type = family)
Maher
NamePart (type = given)
Carolyn Alexander
Role
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Researcher
Affiliation
Rutgers, the State University of New Jersey
OriginInfo
Place
PlaceTerm (type = text)
New Brunswick, NJ
Publisher
Robert B. Davis Institute for learning
CopyrightDate
2000-05-05
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NjNbRU
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TitleInfo
Title
So let's prove it!: emergent and elaborated mathematical ideas and reasoning in the discourse and inscriptions of learners engaged in a combinatorial task / by Arthur B. Powell.
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000054821
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TitleInfo
Title
A02, Taxicab problem: full session, grade 12, May 5, 2000, raw footage.
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A26, Taxicab problem: full session, grade 12, May 5, 2000, raw footage
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Robert B. Davis Institute for Learning Mathematics Education Collection
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rucore00000001201
Extension
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Type
Dissertation
Label
Ph.D. dissertation references the video footage that includes Taxicab problem, clip one of five.
Place
New Brunswick, NJ
Detail
Dissertation available in digital and paper formats in the Rutgers University Libraries dissertation collection.
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Name
Powell, Arthur B.
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Affiliation
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References
Name
So let's prove it!: emergent and elaborated mathematical ideas and reasoning in the discourse and inscriptons of learners engaged in a combinatorial task .
Identifier (type = global)
http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000054821
Detail
Dissertation available in digital and paper formats in the Rutgers University Libraries dissertation collection.
Identifier (type = doi)
doi:10.7282/T39W0FBQ
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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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1/2-inch
Duration
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PictureQualities
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