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Early algebra, investigating linear functions, series 6 of 7, Museum problem, Clip 5 of 6: James modeling the Museum problem with rods

Descriptive

TypeOfResource
MovingImage
Genre (authority = RURes_Genre)
Research data
Genre (authority = RURes_dataGenre)
Observational data
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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)
Educational interventions (small group)
Subject
Name (authority = RBDIL_corporate)
NamePart (type = corporate)
Frank J. Hubbard Middle School (Plainfield, N.J.)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
James T. (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
7
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
Black
Subject (authority = rbdil_cameraView)
Topic
Student view
Subject (authority = LCSH)
Topic
Manipulatives (Education)--Case studies
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)
Topic
Multiplicative reasoning
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Generalizing
Subject (authority = rbdil_representations)
Topic
Mathematical expressions
Subject (authority = rbdil_representations)
Topic
Physical models
Subject (authority = rbdil_topic)
Topic
Linear equations
Subject (authority = rbdil_mathProblem)
Topic
Museum 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 and student work are also available.
Note (type = APA citation)
Robert B. Davis Institute for Learning. (2005). Early algebra, investigating linear functions, series 6 of 7, Museum problem, Clip 5 of 6: James modeling the Museum problem with rods [video]. Retrieved from
Name (type = personal)
NamePart (type = family)
Hähkiöniemi
NamePart (type = given)
Markus
Affiliation
University of Jyväskylä
Role
RoleTerm (type = text); (authority = marcrelator)
Researcher
OriginInfo
Place
PlaceTerm (type = text)
New Brunswick, NJ
Publisher
Robert B. Davis Institute for Learning
CopyrightDate (qualifier = exact); (encoding = w3cdtf)
2005-12-15
DateCreated (encoding = w3cdtf); (qualifier = exact)
2005-12-15
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
B19, Early algebra, investigating linear functions, series 6 of 7, Museum problem (student view), Grade 7, December 15, 2005, raw footage.
Identifier (type = rbdil)
B19-20051215-PFLD-SV-IFML-GR7-ALG-VAR-RAW
RelatedItem (type = host)
TitleInfo
Title
B20, Early algebra, investigating linear functions, series 6 of 7, Museum problem (student view), Grade 7, December 15, 2005, raw footage.
Identifier (type = rbdil)
B20-20051215-PFLD-SV-IFML-GR7-ALG-VAR-RAW
Extension
DescriptiveEvent
Type
Related publication
Label
Ed.D. dissertation references the video footage that includes Early algebra, investigating linear functions, series 6 of 7, Museum problem, Clip 5 of 6: James modeling the Museum problem with rods
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)
B19B20-ALG-VAR-CLIP005
Abstract (type = summary)
In the fifth of six clips from an after-school enrichment session in an urban middle school, James, a 7th grade boy completing a unit about linear functions, has finished his written solution for the Museum problem. When researcher Markus Hahkioniemi asks James if he could use the Cuisenaire rods to model this problem, James begins by building a "ladder" with two rungs and counts the rods as he had for the earlier Ladder problem. He soon discards this model and instead indicates that each rod in his resulting group of eight should represent a craft piece and a value of three dollars. He concludes that the value of the eight rods or craft pieces would be $24 and that there would be a need for two more dollars for the entrance fee. He selects two additional rods, assigning each a value of one dollar, but keeps them separate from the others. Regardless of the questions from the researcher, James tenaciously holds to his interpretation that the different groups of rods represent different things and therefore have different values.
The worksheet wording for the Museum Problem:
The Museum Problem - Version One
A museum gift shop is having a craft sale. The entrance fee is $2. Once inside, there is
a special discount table where each craft piece costs $3.
How could you represent the total amount that you would spend if you were to buy any number of craft pieces at the discount price?
The worksheet wording for the Ladder Problem:
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 could you represent the number of rods needed if you were to build a ladder with any number of rungs?
The questions as posed to James:
How might you use the Cuisenaire rods to model the Museum problem?
What does each rod represent?
Is there a way that all of the rods can have the same value?
TitleInfo
Title
Early algebra, investigating linear functions, series 6 of 7, Museum problem, Clip 5 of 6: James modeling the Museum problem with rods
RelatedItem (type = host)
TitleInfo
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/T3HQ3WWJ
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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
00:08:10
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Technical

RULTechMD (ID = TECHNICAL1)
ContentModel
Video
RULTechMD (ID = TECHNICAL2)
ContentModel
Video
RULTechMD (ID = TECHNICAL3)
ContentModel
Video
RULTechMD (ID = TECHNICAL4)
ContentModel
Video
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