Staff View
Early algebra ideas involving two variables, Clip 18 of 18: Problem 10 and the value of keeping secrets

Descriptive

Identifier (type = rbdil)
A51A52A53-ALG-GMR-CLIP018
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_representations)
Topic
Equations
Subject (authority = rbdil_setting)
Topic
Classroom
Subject (authority = rbdil_schoolType)
Topic
Public school
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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_representations)
Topic
Function tables
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)
Topic
Generalizing
Subject (authority = rbdil_topic)
Topic
Finite differences
Subject (authority = rbdil_topic)
Topic
Quadratic equations
Subject (authority = rbdil_topic)
Topic
Constant
Subject (authority = rbdil_topic)
Topic
Y-intercept
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)
Topic
Linear equations
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)
In the final clip of the series of 18 for Early Algebra Ideas Involving Two Variables with the class of 6th grade students, researcher Robert B. Davis presents the table for problem 10 (see below) as a challenge for the group to consider for future sessions. The students begin to analyze the number patterns in the table. Brian, Romina, Ankur and Michele I. report the pattern of differences in the "triangle" column to Davis. The class session concludes with a final discussion about the value of keeping, as well as sharing, secrets when solving challenging mathematical problems with others. Researchers Carolyn Maher, Alice Alston and Amy Martino and the district supervisor, Marcia O'Brien, are observing.

Table for Problem 10:

□ ∆
0 0
1 1
2 3
3 7
4 15
5 31
6 63
7 127
8 255
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 18 of 18: Problem 10 and the value of keeping 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
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
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 18 of 18: Problem 10 and the value of keeping secrets.
Place
Rutgers, the State University of New Jersey, New Brunswick, NJ
DateTime
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 18 of 18: Problem 10 and the value of keeping secrets
Classification (authority = RUresearch); (edition = Data)
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000064767
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TitleInfo
Title
Robert B. Davis Institute for Learning Mathematics Education Collection
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rucore00000001201
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NjNbRU
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers University. Libraries)
NjR
Identifier (type = doi)
doi:10.7282/T3K35SKF
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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)
2011-11-03
AssociatedEntity
Role
Licensor
Name
Maher, Carolyn A.
Affiliation
Director, Robert B. Davis Institute for Learning, Rutgers Graduate School of Education
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.
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
00:03:57
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