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Early algebra, investigating linear functions, series 7 of 7, Ariel's 8th grade interview, Clip 2 of 5: Ariel solving the Ladder problem

Descriptive

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MovingImage
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Research data
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Observational data
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Edited data
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Repurposed data
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Longitudinal data
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School
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Qualitative research
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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
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Connections
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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)
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Male
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Topic
Hispanic
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Topic
Student view
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Topic
Manipulatives (Education)--Case studies
Subject (authority = rbdil_mathProblem)
Topic
Ladder problem
Subject (authority = rbdil_mathTools)
Topic
Cuisenaire rods
Subject (authority = rbdil_mathTools)
Topic
Color markers
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Direct reasoning
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
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Considering a simpler problem
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
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Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
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Topic
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Subject (authority = rbdil_representations)
Topic
Mathematical expressions
Subject (authority = rbdil_topic)
Topic
Linear equations
Subject (authority = rbdil_topic)
Topic
Y-intercept
Subject (authority = rbdil_topic)
Topic
First differences
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
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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 2 of 5: Ariel solving the Ladder 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
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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
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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
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DescriptiveEvent
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Related publication
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Ed.D. dissertation references the video footage that includes Early algebra, investigating linear functions, series 7 of 7, Ariel's 8th grade interview, Clip 2 of 5: Ariel solving the Ladder problem
Place
Rutgers, the State University of New Jersey, New Brunswick, NJ
DateTime (encoding = w3cdtf); (qualifier = exact)
2009
AssociatedEntity
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Author
Name
Baldev, Prashant V.
Affiliation
Rutgers, the State University of New Jersey
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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-CLIP002
TitleInfo
Title
Early algebra, investigating linear functions, series 7 of 7, Ariel's 8th grade interview, Clip 2 of 5: Ariel solving the Ladder problem
Abstract (type = summary)
In the second 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 to solve the Ladders problem, which he had worked on as a 7th grader in IML. Researcher Cecilia Arias asks Ariel to read the first parts of the problem and Ariel quickly determines the number of rods necessary to build ladders that have three and then ten rungs. Ariel then proposes the general equation of 3X+2 referring to the first differences for the value of Y and noting that this would describe a linear equation.
The wording for the Ladder Problem as given to Ariel:
A company makes ladders of different heights, from very short ones to very tall ones. The shortest ladder has only one rung, and looks like this (we could build a model of it with 5 light green Cuisenaire rods). A two-rung ladder could be modeled using 8 light green rods, and looks like this.
Build a rod model to represent a 3-rung ladder. How many rods did you use?
How many rods would you need to build a ladder with 10 rungs?
How could you represent the number of rods needed if you were to build a ladder with any number of rungs?
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Title
Robert B. Davis Institute for Learning Mathematics Education Collection
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rucore00000001201
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NjNbRU
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers University. Libraries)
NjR
Identifier (type = doi)
doi:10.7282/T3MG7MGW
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Rights

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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.
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

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Format
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Gauge
1/2-inch
Duration
00:08:01
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