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Early algebra, investigating linear functions, series 7 of 7, Ariel's 8th grade interview, Clip 4 of 5: Ariel solving the Geese problem

Descriptive

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MovingImage
Genre (authority = RURes_Genre)
Research data
Genre (authority = RURes_dataGenre)
Observational data
Genre (authority = RURes_dataLifecycle)
Edited data
Genre (authority = RURes_dataLifecycle)
Repurposed data
Genre (authority = RURes_researchDataType)
Longitudinal data
Genre (authority = RURes_dataCollectionSetting)
School
Genre (authority = RURes_researchMethodology)
Qualitative research
Genre (authority = RURes_qualitativeMethod)
Interviews (individual)
Subject
Name (authority = RBDIL_corporate)
NamePart (type = corporate)
Frank J. Hubbard Middle School (Plainfield, N.J.)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Ariel (student)
Subject (authority = RURes_subjectOfStudy)
Topic
Sample of human subjects
Subject (authority = LCSH)
Topic
Mathematics education
Subject (authority = LCSH)
Topic
Learning, Psychology of--Case studies
Subject (authority = LCSH)
Topic
Critical thinking in children--New Jersey--Case studies
Subject (authority = Grade range)
Topic
6-8
Subject (authority = NCTM Content)
Topic
Algebra
Subject (authority = NCTM Process)
Topic
Problem solving
Subject (authority = NCTM Process)
Topic
Reasoning and proof
Subject (authority = NCTM Process)
Topic
Communication
Subject (authority = NCTM Process)
Topic
Connections
Subject (authority = NCTM Process)
Topic
Representation
Subject (authority = rbdil_gradeLevel)
Topic
8
Subject (authority = rbdil_mathStrand)
Topic
Algebra
Subject (authority = rbdil_setting)
Topic
Informal learning
Subject (authority = rbdil_schoolType)
Topic
Public school
Subject (authority = rbdil_studentGender)
Topic
Male
Subject (authority = rbdil_studentEthnicity)
Topic
Hispanic
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Topic
Student view
Subject (authority = rbdil_mathTools)
Topic
Color markers
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
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Direct reasoning
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Considering a simpler problem
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Recursive reasoning
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Generalizing
Subject (authority = rbdil_representations)
Topic
Pictorial models
Subject (authority = rbdil_representations)
Topic
Mathematical expressions
Subject (authority = rbdil_representations)
Topic
Function tables
Subject (authority = rbdil_representations)
Topic
Coordinate graphs
Subject (authority = rbdil_topic)
Topic
Linear equations
Subject (authority = rbdil_topic)
Topic
Y-intercept
Subject (authority = rbdil_topic)
Topic
Slope
Subject (authority = rbdil_topic)
Topic
First differences
Subject (authority = rbdil_mathProblem)
Topic
Geese problem
Subject (authority = rbdil_district)
Geographic
Plainfield Public Schools
Subject
HierarchicalGeographic
Country
UNITED STATES
State
New Jersey
County
Union County
City
Plainfield (N.J.)
Classification (authority = RUresearch); (edition = Data)
PhysicalDescription
Extent (unit = digital file(s))
1
InternetMediaType
video/x-flv
TargetAudience (authority = RURes_discipline)
Social science
TargetAudience (authority = RURes_domain)
Mathematics education
Note (type = supplementary materials)
Transcript is also available.
Note (type = APA citation)
Robert B. Davis Institute for Learning. (2007). Early algebra, investigating linear functions, series 7 of 7, Ariel's 8th grade interview, Clip 4 of 5: Ariel solving the Geese problem [video]. Retrieved from
Name (type = personal)
NamePart (type = family)
Arias
NamePart (type = given)
Cecilia
Role
RoleTerm (type = text); (authority = marcrelator)
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 (qualifier = exact); (encoding = w3cdtf)
2007-05-17
DateCreated (encoding = w3cdtf); (qualifier = exact)
2007-05-17
RelatedItem (type = is referenced by)
TitleInfo
Title
Urban, seventh-grade students building early algegra ideas in an informal after school program / by Prashant V. Baldev
Identifier (type = lccn)
QA.B175 2009
RelatedItem (type = host)
TitleInfo
Title
B21, Early algebra, investigating linear functions, series 7 of 7, Ariel's 8th grade interview (student view), Grade 8, May 17, 2007, raw footage.
Identifier (type = rbdil)
B21-20070512-PFLD-SV-IFML-GR8-ALG-VAR-RAW
Extension
DescriptiveEvent
Type
Related publication
Label
Ed.D. dissertation references the video footage that includes Early algebra, investigating linear functions, series 7 of 7, Ariel's 8th grade interview, Clip 4 of 5: Ariel solving the Geese problem
Place
Rutgers, the State University of New Jersey, New Brunswick, NJ
DateTime (encoding = w3cdtf); (qualifier = exact)
2009
AssociatedEntity
Role
Author
Name
Baldev, Prashant V.
Affiliation
Rutgers, the State University of New Jersey
AssociatedObject
Type
Dissertation
Relationship
References
Name
Urban, seventh-grade students building early algegra ideas in an informal after school program
Identifier (type = lccn)
QA.B175 2009
Reference (type = physical)
QA.B175 2009
Detail
Dissertation is available in paper format in the Rutgers University Libraries' dissertation collection.
Identifier (type = rbdil)
B21-ALG-VAR-CLIP004
TitleInfo
Title
Early algebra, investigating linear functions, series 7 of 7, Ariel's 8th grade interview, Clip 4 of 5: Ariel solving the Geese problem
Abstract (type = summary)
In the fourth of five clips from a follow-up interview about his participation in Informal Mathematics Learning (IML), an after-school enrichment program, Ariel, an 8th grade student in an urban middle school, is asked by researcher Cecilia Arias to solve the Geese problem. Ariel completes a table for the values for Y when X is one through four and determines that the general equation is 2X+1. He notes that these values represent a linear equation, which he then represents as a graph.
The wording for the Geese problem as presented to Ariel:
Groups of birds sometimes fly in a V-pattern.
Below you see the three smallest V-patterns.
Each dot represents one bird in the pattern.
* * * * * *
* * * * *
* * *
*
How many geese would be in the 4th V-pattern?
How could you represent the number of geese flying in a V-pattern of any number?
RelatedItem (type = host)
TitleInfo
Title
Robert B. Davis Institute for Learning Mathematics Education Collection
Identifier (type = local)
rucore00000001201
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers University. Libraries)
NjR
Identifier (type = doi)
doi:10.7282/T3BZ640S
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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.
RightsEvent
Type
Permission or license
Label
Non-exclusive license to share the video presentation via RUcore.
Place
New Brunswick, NJ
DateTime
11/3/2009
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
Role
Licensor
Name
Maher, Carolyn A.
Affiliation
Director, Robert B. Davis Institute for Learning, Rutgers Graduate School of Education
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
Publication
Status
Unpublished
RightsHolder (type = corporate)
Name
Robert B. Davis Institute for Learning
Role
Copyright holder
Telephone
732-932-8848
Address
Rutgers Graduate School of Education
10 Seminary Place
New Brunswick, NJ 08901-1183
ContactInformationDate
2009-11-03
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Source

SourceTechnical
SourceType
Videotape
Format
S-VHS
Gauge
1/2-inch
Duration
00:06:52
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Technical

RULTechMD (ID = TECHNICAL1)
VideoSampling
SamplingSize
4:2:2
WordSize
3-byte
BitsPerSample
24-bit
ContentModel
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full
Generation
Digital preservation master
Duration
00:06:52
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MS Video
Frame
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640
Width
480
Rate
29.97 fps
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4:3
Structure
interlaced
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uncompressed
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CodecQuality
code regenerating
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stereo
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3-byte
RULTechMD (ID = TECHNICAL2)
ContentModel
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RULTechMD (ID = TECHNICAL3)
ContentModel
Video
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