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)
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_forms of reasoning, strategies and heuristics)
Topic
Substituting numbers for variables
Subject
(authority = rbdil_representations)
Subject
(authority = rbdil_topic)
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_district)
Geographic
Kenilworth Public Schools
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
Extension
DescriptiveEvent
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
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 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
Identifier
(type = local)
rucore00000001201
Location
PhysicalLocation
(authority = marcorg);
(displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Location
PhysicalLocation
(authority = marcorg);
(displayLabel = Rutgers University. Libraries)
NjR
Identifier
(type = doi)
doi:10.7282/T3H41QBP
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