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Early algebra ideas involving one variable, Clip 10 of 11: Owning the secrets

Descriptive

TypeOfResource
MovingImage
Identifier (type = rbdil)
A54A55-ALG-PIB-CLIP010
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)
Subject
Name (authority = RBDIL_corporate)
NamePart (type = corporate)
Harding Elementary School (Kenilworth, N.J.)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Brian (Kenilworth, student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Michael A. (Kenilworth, student)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Jeff (student)
Subject
Name (authority = RBDIL_personal)
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Robert (student)
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Name (authority = RBDIL_personal)
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Matt (student)
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Name (authority = RBDIL_personal)
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Romina (student)
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Name (authority = RBDIL_personal)
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Stephanie (student)
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Name (authority = RBDIL_personal)
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Amy-Lynn (student)
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Name (authority = RBDIL_personal)
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Michelle I. (student)
Subject
Name (authority = RBDIL_personal)
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Michelle R. (student)
Subject
Name (authority = RBDIL_personal)
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Ankur (student)
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Milin (student)
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Sample of human subjects
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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
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6
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Algebra
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Open sentence in one variable
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Direct reasoning
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Substituting numbers for variables
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Equations
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Classroom
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Public school
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Teacher view
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Side view
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Mixed
Subject (authority = rbdil_studentEthnicity)
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Mixed
Subject (authority = rbdil_mathTools)
Topic
Worksheet with problem statements
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
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Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Generalizing
Subject (authority = rbdil_representations)
Topic
Box notation for variable
Subject (authority = rbdil_representations)
Topic
Truth sets
Subject (authority = rbdil_topic)
Topic
Positive and negative integers
Subject (authority = rbdil_topic)
Topic
Factors
Subject (authority = rbdil_topic)
Topic
Multiples
Subject (authority = rbdil_topic)
Topic
Quadratic equations
Subject (authority = rbdil_district)
Geographic
Kenilworth Public Schools
Abstract (type = summary)
In the tenth of eleven clips from the first day of the Early Algebra Ideas 6th grade class sessions,
all but three of the students claim to know the general "secrets" for finding values that make a given equation true. Researcher Robert B. Davis challenges the three students, Michele I., Jeff and Michael to solve the equation below. When they find one value that works, they are satisfied. Finally, Ankur articulates the general rules about adding and multiplying the two numbers to find the constant terms in the equation. Michele I., Jeff, Michael, Romina, Ankur, Brian and Bobby 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.

Final equations presented to the students:
(□ x □) - (102 x □) + 200 = 0
(□ x □) - (8 x □) + 15 = 0
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 one variable, Clip 10 of 11: Owning the secrets [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
Name (type = personal)
NamePart (type = family)
Poe
NamePart (type = given)
Michael
Affiliation
Kenilworth (NJ) Public Schools
Role
RoleTerm (authority = marcrelator); (type = text)
Teacher
OriginInfo
CopyrightDate
1999-09-30
Place
PlaceTerm (type = text)
New Brunswick, NJ
Publisher
Robert B. Davis Institute for Learning
RelatedItem (type = host)
TitleInfo
Title
A54, Early algebra ideas involving one variable (teacher view), Grade 6, September 30, 1993, raw footage.
Identifier (type = rbdil)
A54-19930930-KNWH-TV-CLASS-GR6-ALG-PIB-RAW
RelatedItem (type = host)
TitleInfo
Title
A55, Early algebra ideas involving one variable (side view), Grade 6, September 30, 1993, raw footage.
Identifier
A55-19930930-KNWH-SV-CLASS-GR6-ALG-PIB-RAW
RelatedItem (type = is referenced by)
TitleInfo
Title
Teaching algebra ideas to elementary school children : Robert B. Davis' introduction to early algebra / by Kathleen E. Spang.
Identifier
QA.S735 2009
Subject
HierarchicalGeographic
Country
UNITED STATES
State
New Jersey
County
Union County
City
Kenilworth (N.J.)
Extension
DescriptiveEvent
Type
Related publication
Label
Ed.D. dissertation references the video footage that includes Early algebra ideas involving one variable, Clip 10 of 11: Owning the secrets
Place
Rutgers, the State University of New Jersey, New Brunswick, NJ
DateTime
2009
AssociatedEntity
Role
Author
Name
Spang, Kathleen E.
Affiliation
Rutgers Graduate School of Education
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References
Name
Teaching algebra ideas to elementary school children : Robert B. Davis' introduction to early algebra
Identifier (type = lccn)
QA.S735 2009
Reference (type = physical)
QA.S735 2009
Detail
Dissertation is available in hard copy in the Rutgers University Libraries' dissertation collection.
TitleInfo
Title
Early algebra ideas involving one variable, Clip 10 of 11: Owning the secrets
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http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000064708
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Robert B. Davis Institute for Learning Mathematics Education Collection
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rucore00000001201
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Identifier (type = doi)
doi:10.7282/T37943KR
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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
2009-11-03
RightsEvent
Type
Permission or license
Label
Non-exclusive license to share the video presentation via RUcore.
DateTime
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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