Early algebra, investigating linear functions, series 6 of 7, Museum problem, Clip 4 of 6: Comparing the Ladder problem with the Museum problem
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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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Educational interventions (small group)
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Frank J. Hubbard Middle School (Plainfield, N.J.)
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James T. (student)
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Sample of human subjects
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Mathematics education
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Learning, Psychology of--Case studies
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Critical thinking in children--New Jersey--Case studies
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Reasoning and proof
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Manipulatives (Education)--Case studies
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(authority = rbdil_forms of reasoning, strategies and heuristics)
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Multiplicative reasoning
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Mathematical expressions
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Plainfield Public Schools
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1
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video/x-flv
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Social science
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Mathematics education
Note
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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 4 of 6: Comparing the Ladder problem with the Museum problem [video]. Retrieved from
Name
(type = personal)
NamePart
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Hähkiöniemi
NamePart
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Markus
Affiliation
University of Jyväskylä
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(authority = marcrelator)
Researcher
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Place
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New Brunswick, NJ
Publisher
Robert B. Davis Institute for Learning
CopyrightDate
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2005-12-15
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2005-12-15
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TitleInfo
Title
Urban, seventh-grade students building early algegra ideas in an informal after school program / by Prashant V. Baldev
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QA.B175 2009
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Title
B19, Early algebra, investigating linear functions, series 6 of 7, Museum problem (student view), Grade 7, December 15, 2005, raw footage.
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B19-20051215-PFLD-SV-IFML-GR7-ALG-VAR-RAW
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B20, Early algebra, investigating linear functions, series 6 of 7, Museum problem (student view), Grade 7, December 15, 2005, raw footage.
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B20-20051215-PFLD-SV-IFML-GR7-ALG-VAR-RAW
Extension
DescriptiveEvent
Label
Ed.D. dissertation references the video footage that includes Early algebra, investigating linear functions, series 6 of 7, Museum problem, Clip 4 of 6: Comparing the Ladder problem with the Museum problem
Place
Rutgers, the State University of New Jersey, New Brunswick, NJ
DateTime
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2009
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Rutgers, the State University of New Jersey
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Urban, seventh-grade students building early algegra ideas in an informal after school program
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QA.B175 2009
Reference
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QA.B175 2009
Detail
Dissertation is available in paper format in the Rutgers University Libraries' dissertation collection.
Identifier
(type = rbdil)
B19B20-ALG-VAR-CLIP004
Abstract
(type = summary)
In the fourth 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, continues his work on the Museum problem. Researcher Markus Hahkioniemi asks James to compare the Museum problem, for which he has just given a general rule, to the Ladder problem. James notes that the mathematical structure of the rules is the same and points out the differences in the contexts. When the researcher then asks James to explain the connection between the rods and the problems, James explains how the rods are related to the Ladder problem.
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:
Compare the Museum Problem that you have just done with the Ladder Problem. How are they alike? How are they different?
How can the Cuisenaire rods be used to model either or both of the problems?
TitleInfo
Title
Early algebra, investigating linear functions, series 6 of 7, Museum problem, Clip 4 of 6: Comparing the Ladder problem with the Museum problem
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Title
Robert B. Davis Institute for Learning Mathematics Education Collection
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rucore00000001201
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NjR
Identifier
(type = doi)
doi:10.7282/T3NG4NKT
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