Early algebra ideas involving two variables, Clip 17 of 18: Presenting ideas About problem 8
Descriptive
Identifier
(type = rbdil)
A51A52A53-ALG-GMR-CLIP017
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)
Educational interventions (large group)
TypeOfResource
MovingImage
Subject
Name
(authority = RBDIL_personal)
NamePart
Brian (Kenilworth, student)
Subject
Name
(authority = RBDIL_personal)
NamePart
Michael A. (Kenilworth, student)
Subject
Name
(authority = RBDIL_personal)
Subject
Name
(authority = RBDIL_personal)
NamePart
Robert (student)
Subject
Name
(authority = RBDIL_personal)
Subject
Name
(authority = RBDIL_personal)
NamePart
Romina (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
Stephanie (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
Amy-Lynn (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
Michelle I. (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
Michelle R. (student)
Subject
Name
(authority = RBDIL_personal)
Subject
Name
(authority = RBDIL_personal)
Subject
Name
(authority = RBDIL_corporate)
NamePart
Harding Elementary School (Kenilworth, N.J.)
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)
Subject
(authority = NCTM Content)
Subject
(authority = NCTM Process)
Subject
(authority = NCTM Process)
Topic
Reasoning and proof
Subject
(authority = NCTM Process)
Subject
(authority = NCTM Process)
Subject
(authority = NCTM Process)
Subject
(authority = rbdil_gradeLevel)
Subject
(authority = rbdil_mathStrand)
Subject
(authority = rbdil_mathProblem)
Topic
Open sentence in two variables
Subject
(authority = rbdil_mathTools)
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Subject
(authority = rbdil_representations)
Subject
(authority = rbdil_setting)
Subject
(authority = rbdil_schoolType)
Subject
(authority = rbdil_cameraView)
Subject
(authority = rbdil_cameraView)
Subject
(authority = rbdil_cameraView)
Subject
(authority = rbdil_studentGender)
Subject
(authority = rbdil_studentEthnicity)
Subject
(authority = rbdil_representations)
Topic
Box and triangle notations for variables
Subject
(authority = rbdil_representations)
Subject
(authority = rbdil_representations)
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Recognizing a pattern
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Guessing and checking
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Subject
(authority = rbdil_topic)
Subject
(authority = rbdil_topic)
Topic
Quadratic equations
Subject
(authority = rbdil_topic)
Subject
(authority = rbdil_topic)
Subject
(authority = rbdil_topic)
Topic
Dependent variables
Subject
(authority = rbdil_topic)
Topic
Independent variables
Subject
(authority = rbdil_mathProblem)
Topic
Open sentence in one variable
Subject
(authority = rbdil_mathTools)
Topic
Worksheet with problem statements
Subject
(authority = rbdil_topic)
Subject
(authority = rbdil_district)
Geographic
Kenilworth Public Schools
Abstract
(type = summary)
In the seventeenth of 18 clips from Early Algebra Ideas Involving Two Variables on the second of two consecutive classroom sessions with the class of 6th grade students, several of the students present their ideas about problem 8, shown in the table below. At the suggestion of researcher, Robert B. Davis, Robert and Amy-Lynn describe the pattern of differences between consecutive values for the "triangle". Jeff theorizes about the pattern for subtraction in an equation. Brian, Romina, and Ankur note that consecutive values in the "box" column are related by multiplication and division to the "triangle" value for the larger of the "box" numbers. Researchers Carolyn Maher, Alice Alston and Amy Martino and the district supervisor, Marcia O'Brien, are observing.
Table for Problem 8:
□ ∆
0 0
1 0
2 2
3 6
4 12
5 20
6 30
PhysicalDescription
Extent
(unit = digital file(s))
1
InternetMediaType
video/quicktime
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. (1993). Early algebra ideas involving two variables, Clip 17 of 18: Presenting ideas About problem 8. [video]. Retrieved from
Name
(type = personal)
NamePart
(type = family)
Davis
NamePart
(type = given)
Robert B. (Robert Benjamin)
Affiliation
Rutgers, the State University of New Jersey
Role
RoleTerm
(authority = marcrelator);
(type = text)
Researcher
NamePart
(type = date)
1926-
Name
(type = personal)
NamePart
(type = family)
Maher
NamePart
(type = given)
Carolyn Alexander
Affiliation
Rutgers, the State University of New Jersey
Role
RoleTerm
(authority = marcrelator);
(type = text)
Researcher
Name
(type = personal)
NamePart
(type = family)
Alston
NamePart
(type = given)
Alice S.
Description
Rutgers, the State University of New Jersey
Role
RoleTerm
(authority = marcrelator);
(type = text)
Researcher
Name
(type = personal)
NamePart
(type = family)
Martino
NamePart
(type = given)
Amy Marie
Affiliation
Rutgers, the State University of New Jersey
Role
RoleTerm
(authority = marcrelator);
(type = text)
Researcher
Name
(type = personal)
NamePart
(type = family)
O'Brien
NamePart
(type = given)
Marcia Joan
Affiliation
Kenilworth (NJ) Public Schools
Role
RoleTerm
(authority = marcrelator);
(type = text)
Teacher
RelatedItem
(type = host)
TitleInfo
Title
A51, Early algebra ideas involving two variables (student view), Grade 6, October 1, 1993, raw footage.
Identifier
(type = rbdil)
A51-19931001-KNWH-SV-CLASS-GR6-ALG-GMR-RAW
RelatedItem
(type = host)
TitleInfo
Title
A52, Early algebra ideas involving two variables (side view), Grade 6, October 1, 1993, raw footage.
Identifier
(type = rbdil)
A52-19931001-KNWH-SV-CLASS-GR6-ALG-GMR-RAW
RelatedItem
(type = host)
TitleInfo
Title
A53, Early algebra ideas involving two variables (classroom view), Grade 6, October 1, 1993, raw footage.
Identifier
(type = rbdil)
A53-19931001-KNWH-CV-CLASS-GR6-ALG-GMR-RAW
RelatedItem
(type = is referenced by)
TitleInfo
Title
Learning the concept of function: Guess My Rule activities with Dr. Robert B. Davis / by Patricia Giordano
Identifier
(type = lccn)
QA.G497 2008
OriginInfo
Place
PlaceTerm
(type = text)
New Brunswick, NJ
Publisher
Robert B. Davis Institute for Learning
Extension
DescriptiveEvent
Label
Ed.D. dissertation references the footage that includes Early algebra ideas involving two variables, Clip 17 of 18: Presenting ideas about problem 8.
Place
Rutgers, the State University of New Jersey, New Brunswick, NJ
AssociatedEntity
Affiliation
Rutgers, the State University of New Jersey
AssociatedObject
Name
Learning the concept of function: Guess my rule activities with Dr. Robert B. Davis
Identifier
(type = lccn)
QA.G497 2008
Reference
(type = physical)
QA.G497 2008
Detail
Dissertation is available in paper format in the Rutgers University Libraries' dissertation collection.
TitleInfo
Title
Early algebra ideas involving two variables, Clip 17 of 18: Presenting ideas About problem 8
Classification
(authority = RUresearch);
(edition = Document)
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000064766
RelatedItem
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TitleInfo
Title
Robert B. Davis Institute for Learning Mathematics Education Collection
Identifier
(type = local)
rucore00000001201
Location
PhysicalLocation
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(displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Location
PhysicalLocation
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(displayLabel = Rutgers University. Libraries)
NjR
Identifier
(type = doi)
doi:10.7282/T3FB51V3
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