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Early algebra ideas involving two variables, Clip 1 of 18: Open sentences that can be made true or false with legal or illegal substitutions

Descriptive

Identifier (type = rbdil)
A51A52A53-ALG-GMR-CLIP001
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)
NamePart
Jeff (student)
Subject
Name (authority = RBDIL_personal)
NamePart
Robert (student)
Subject
Name (authority = RBDIL_personal)
NamePart
Matt (student)
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)
NamePart
Ankur (student)
Subject
Name (authority = RBDIL_personal)
NamePart
Milin (student)
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)
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
6
Subject (authority = rbdil_mathStrand)
Topic
Algebra
Subject (authority = rbdil_mathProblem)
Topic
Open sentence in two variables
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
Substituting numbers for variables
Subject (authority = rbdil_representations)
Topic
Equations
Subject (authority = rbdil_topic)
Topic
Variables
Subject (authority = rbdil_setting)
Topic
Classroom
Subject (authority = rbdil_schoolType)
Topic
Public school
Subject (authority = rbdil_cameraView)
Topic
Classroom view
Subject (authority = rbdil_cameraView)
Topic
Side view
Subject (authority = rbdil_cameraView)
Topic
Student view
Subject (authority = rbdil_studentGender)
Topic
Mixed
Subject (authority = rbdil_studentEthnicity)
Topic
Mixed
Subject (authority = rbdil_representations)
Topic
Box and triangle notations for variables
Subject (authority = rbdil_representations)
Topic
Truth sets
Subject (authority = rbdil_district)
Geographic
Kenilworth Public Schools
Subject
HierarchicalGeographic
Country
UNITED STATES
State
New Jersey
County
Union County
City
Kenilworth (N.J.)
Abstract (type = summary)
This first of 18 clips focusing on Early Algebra Ideas Involving Two Variables occurred toward the end of the first of two consecutive 6th grade class sessions. Researcher, Robert B. Davis, builds on earlier exploration with a single variable to introduce algebraic equations with two variables. He uses the symbols of square (referred to as a “box”) and a “triangle” as to represent the variables. Using the equation printed below, the class discusses ways to substitute values into the boxes and the triangle to make statements that are both true or false and legal or illegal. Amy-Lynn, Jeff and Ankur are featured during the activity. Researchers Carolyn Maher, Alice Alston and Amy Martino, along with Marcia O’Brien, district supervisor, and Michael Poe, teacher, are observing.
Problem statements as presented by the researcher.
□ + □ + ∆ = 9
Legal and false?
Illegal and false?
Illegal and true?
Legal and true?
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 1 of 18: Open sentences that can be made true or false with legal or illegal substitutions. [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
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
Name (type = personal)
NamePart (type = family)
Poe
NamePart (type = given)
Michael
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)
51-19931001-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)
52-19931001-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
CopyrightDate
1993-10-01
Extension
DescriptiveEvent
Type
Related publication
Label
Ed.D. dissertation references the footage that includes Early algebra ideas involving two variables, Clip 1 of 18: Open sentences that can be made true or false with legal or illegal substitutions.
Place
Rutgers, the State University of New Jersey, New Brunswick, NJ
DateTime (qualifier = exact)
2008
AssociatedEntity
Role
Author
Name
Giordano, Patricia
Affiliation
Rutgers, the State University of New Jersey
AssociatedObject
Type
Dissertation
Relationship
References
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 1 of 18: Open sentences that can be made true or false with legal or illegal substitutions
Classification (authority = RUresearch); (edition = Data)
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000064749
RelatedItem (type = host)
TitleInfo
Title
Robert B. Davis Institute for Learning Mathematics Education Collection
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rucore00000001201
Location
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NjNbRU
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers University. Libraries)
NjR
Identifier (type = doi)
doi:10.7282/T3H41QBP
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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.
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
2012-02-21
RightsEvent
Type
Permission or license
Label
Non-exclusive license to share the video presentation via RUcore.
Place
Rutgers, the State University of New Jersey, New Brunswick, NJ
DateTime (qualifier = exact)
2009-11-03
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
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Source

SourceTechnical
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Videotape
Duration
00:03:27
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