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
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
(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)
NamePart
(type = corporate)
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
Subject
(ID = SBJ-8);
(authority = Grade range)
Subject
(ID = SBJ-9);
(authority = NCTM Content)
Topic
Number and operations
Subject
(ID = SBJ-209876543210);
(authority = NCTM Content)
Subject
(ID = SBJ-21);
(authority = NCTM Content)
Subject
(ID = SBJ-22);
(authority = NCTM Content)
Topic
Data analysis and probability
Subject
(ID = SBJ-23);
(authority = NCTM Process)
Subject
(ID = SBJ-24);
(authority = NCTM Process)
Topic
Reasoning and proof
Subject
(ID = SBJ-25);
(authority = NCTM Process)
Subject
(ID = SBJ-26);
(authority = NCTM Process)
Subject
(ID = SBJ-27);
(authority = NCTM Process)
Subject
(ID = SBJ-28);
(authority = rbdil_mathStrand)
Subject
(ID = SBJ-29);
(authority = rbdil_mathStrand)
Subject
(ID = SBJ-30);
(authority = rbdil_mathProblem)
Subject
(ID = SBJ-31);
(authority = rbdil_mathTools)
Subject
(ID = SBJ-32);
(authority = rbdil_mathTools)
Subject
(ID = SBJ-33);
(authority = rbdil_forms of reasoning, strategies and heuristics)
Subject
(ID = SBJ-1);
(authority = rbdil_topic)
Subject
(ID = SBJ-1);
(authority = rbdil_topic)
Subject
(ID = SBJ-1);
(authority = rbdil_gradeLevel)
Subject
(ID = SBJ-1);
(authority = rbdil_setting)
Subject
(ID = SBJ-1);
(authority = rbdil_cameraView)
Subject
(ID = SBJ-1);
(authority = rbdil_cameraView)
Subject
(ID = SBJ-1);
(authority = rbdil_studentGender)
Subject
(ID = SBJ-1);
(authority = rbdil_studentEthnicity)
Subject
(ID = SBJ-1);
(authority = rbdil_district)
Geographic
Kenilworth Public Schools
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
RoleTerm
(authority = marcrelator);
(type = text)
Researcher
Affiliation
Rutgers, the State University of New Jersey
OriginInfo
Place
PlaceTerm
(type = text)
New Brunswick, NJ
Publisher
Robert B. Davis Institute for learning
Location
PhysicalLocation
(authority = marcorg);
(displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Location
PhysicalLocation
(authority = marcorg);
(displayLabel = Rutgers University. Libraries)
NjR
RelatedItem
(type = isAssociatedWith)
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
RelatedItem
(type = host)
TitleInfo
Title
A02, Taxicab problem: full session, grade 12, May 5, 2000, raw footage.
Identifier
(type = rbdil)
A02-20000505-KNWH-SV-AFTRS-GR12-GMY-TAXI-RAW
RelatedItem
(type = host)
TitleInfo
Title
A26, Taxicab problem: full session, grade 12, May 5, 2000, raw footage
Identifier
(type = rbdil)
A26-20000505-KNWH-WV-AFTRS-GR12-GMY-TAXI-RAW
RelatedItem
(type = host)
TitleInfo
Title
Robert B. Davis Institute for Learning Mathematics Education Collection
Identifier
(type = local)
rucore00000001201
Extension
DescriptiveEvent
(AUTHORITY = rulib);
(ID = DESC-1)
Label
Ph.D. dissertation references the video footage that includes Taxicab problem, clip one of five.
Detail
Dissertation available in digital and paper formats in the Rutgers University Libraries dissertation collection.
AssociatedEntity
(AUTHORITY = rulib);
(ID = AE-1)
Identifier
(type = local)
QA.P882 2003
Affiliation
Rutgers Graduate School of Education
AssociatedObject
(AUTHORITY = rulib);
(ID = AO-1)
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
Back to the top