Early algebra, investigating linear functions, series 5 of 7,ladder problem, Clip 3 of 7: Recording the procedures for ladders with odd and even numbers of steps
Descriptive
Genre
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Research data
Genre
(authority = RURes_dataGenre)
Observational data
Genre
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Repurposed data
Genre
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Educational interventions (small group)
Genre
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Longitudinal data
Genre
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Qualitative research
Genre
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School
Genre
(authority = RURes_dataLifecycle)
Edited data
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Ariel (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
James T. (student)
Subject
Name
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NamePart
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Frank J. Hubbard Middle School (Plainfield, N.J.)
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B17B18-ALG-VAR-CLIP003
Subject
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Subject
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Topic
Reasoning and proof
Subject
(authority = NCTM Process)
Subject
(authority = NCTM Process)
Subject
(authority = NCTM Process)
Subject
(authority = Grade range)
Subject
(authority = LCSH)
Topic
Mathematics education
Subject
(authority = LCSH)
Topic
Critical thinking in children--New Jersey--Case studies
Subject
(authority = LCSH)
Topic
Learning, Psychology of--Case studies
Subject
(authority = LCSH)
Topic
Manipulatives (Education)--Case studies
Subject
(authority = rbdil_cameraView)
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Subject
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Subject
(authority = rbdil_mathTools)
Subject
(authority = rbdil_mathTools)
Subject
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Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
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_representations)
Subject
(authority = rbdil_representations)
Topic
Mathematical expressions
Subject
(authority = rbdil_studentGender)
Subject
(authority = rbdil_studentEthnicity)
Subject
(authority = rbdil_schoolType)
Subject
(authority = RURes_subjectOfStudy)
Topic
Sample of human subjects
Subject
(authority = rbdil_gradeLevel)
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Proportional reasoning
TargetAudience
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Social science
TargetAudience
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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 5 of 7, ladder problem, Clip 3 of 7: Recording the procedures for ladders with odd and even numbers of steps [video]. Retrieved from
Name
(type = personal)
NamePart
(type = family)
Francisco
NamePart
(type = given)
John
Role
RoleTerm
(authority = marcrelator);
(type = text)
Researcher
Affiliation
Rutgers, the State University of New Jersey
Name
(type = personal)
NamePart
(type = family)
Baldev
NamePart
(type = given)
Prashant V.
Role
RoleTerm
(authority = marcrelator);
(type = text)
Researcher
Affiliation
Rutgers, the State University of New Jersey
Subject
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Geographic
Plainfield Public Schools
Classification
(authority = RUresearch);
(edition = Data)
Abstract
(type = summary)
In the third of seven clips from an after-school enrichment session in an urban middle school, two 7th grade boys, Ariel and James, are exploring ideas about linear functions. When Ariel explains his reasoning, researcher John Francisco asks him to write out the "rules" that he has developed for solving the ladder problem. Ariel has one procedure for a ladder with an odd number of steps, and a second procedure for a ladder with an even number of steps. Ariel writes out his odd and even rules, demonstrating each procedure with an example which he sketches on his paper. He proposes a ladder with nine steps to illustrate his procedure for an odd number of steps and a ladder with six steps for an even number. James appears to be recording his method as well. Researcher Prashant Baldev is observing. This clip is featured in Clip 3 of Series 7: Early algebra, investigating linear functions, Ariel's 8th grade interview, revisiting the IML Ladder problem.
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 Ariel and James:
Explain how you would predict the number of rods needed for a ladder with a particular number of steps?
Write down your procedures for each case - a ladder with an odd number of steps and also a ladder with an even number of steps.
PhysicalDescription
Extent
(unit = digital file(s))
1
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video/x-flv
RelatedItem
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TitleInfo
Title
B17, Early algebra, investigating linear functions, Series 5 of 7, Ladder problem (student view), Grade 7, December 15, 2005, raw footage
Identifier
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17-20051215-PFLD-SV-IFML-GR7-ALG-VAR-RAW
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TitleInfo
Title
B18, Early algebra, investigating linear functions, Series 5 of 7, Ladder problem (student view), Grade 7, December 15, 2005, raw footage
Identifier
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B18-20051215-PFLD-SV-IFML-GR7-ALG-VAR-RAW
RelatedItem
(type = is referenced by)
TitleInfo
Title
Urban, seventh-grade students building early algebra ideas in an informal after school program / by Prashant V. Baldev.
Identifier
(type = lccn)
QA.B175 2009
OriginInfo
Place
PlaceTerm
(type = text)
New Brunswick, N.J.
Publisher
Robert B. Davis Institute for Learning
Extension
DescriptiveEvent
Label
Ed.D. dissertation references the video footage that includes Early algebra, investigating linear functions, series 5 of 7, ladder problem, Clip 3 of 7: Recording the procedures for ladders with odd and even numbers of steps
Place
Rutgers, the State University of New Jersey, New Brunswick, NJ
DateTime
(qualifier = exact)
2009
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Affiliation
Rutgers, the State University of New Jersey
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Urban, seventh-grade students building early algebra ideas in an informal after school program
Identifier
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QA.B175 2009
Reference
(type = physical)
QA.B175 2009
Detail
Dissertation is available in paper format in the Rutgers University Libraries' dissertation collection
TitleInfo
Title
Early algebra, investigating linear functions, series 5 of 7,ladder problem, Clip 3 of 7: Recording the procedures for ladders with odd and even numbers of steps
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000067225
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TitleInfo
Title
Robert B. Davis Institute for Learning Mathematics Education Collection
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rucore00000001201
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Identifier
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doi:10.7282/T3SF2TXH
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