RUcore: Rutgers University Community Repository
Early algebra ideas involving one variable, Clip 2 of 11: Introducing integers with pebbles in the bag
Descriptive
TypeOfResource
MovingImage
Identifier
(type = rbdil)
A54A55-ALG-PIB-CLIP002
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)
NamePart
(type = personal)
Robert (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Matt (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Romina (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Stephanie (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Amy-Lynn (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Michelle I. (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Michelle R. (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Ankur (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Milin (student)
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
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(authority = NCTM Process)
Topic
Connections
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(authority = NCTM Process)
Topic
Representation
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(authority = rbdil_gradeLevel)
Topic
6
Subject
(authority = rbdil_mathStrand)
Topic
Algebra
Subject
(authority = rbdil_mathProblem)
Topic
Pebbles in the bag
Subject
(authority = rbdil_mathTools)
Topic
Color markers
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(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Direct reasoning
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(authority = rbdil_representations)
Topic
Equations
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(authority = rbdil_setting)
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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
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(authority = rbdil_studentEthnicity)
Topic
Mixed
Subject
(authority = rbdil_representations)
Topic
Physical models
Subject
(authority = rbdil_topic)
Topic
Positive and negative integers
Subject
(authority = rbdil_district)
Geographic
Kenilworth Public Schools
Abstract
(type = summary)
In the second of eleven clips from the first day of the Early Algebra Ideas 6th grade class sessions, the researcher, Robert B. Davis, models adding positive and negative integers to a class of 6th grade students by having the students add and remove small colored stones from a bag. For a given action, after a student gives the command: “Go”, a second student, responding to directions from the class, first adds a specific number of stones to the bag and then removes another specified amount. Davis and the students describe each action with a symbolic equation that designates addition as "adding more pebbles", subtraction as “taking away” with the symbol “-“ and attaches a superscript “–“ before the numeral to designate a negative integer. Stephanie, Milin, Amy-Lynn, Jeff, Michelle I. and Brian volunteer to model and record during the activity, responding to directions from Davis and the class. Researchers Carolyn Maher, Alice Alston, Amy Martino and Tom Purdy, along with Marcia O’Brien, district supervisor, and Michael Poe, teacher, are observing.
Equations constructed to represent the “pebble action” examples:
7-12= "superscript -"5
1 – 6 = "superscript -"5
Final statement posed to the class: 6 – 8 = ____ .
Equations constructed to represent the “pebble action” examples:
7-12= "superscript -"5
1 – 6 = "superscript -"5
Final statement posed to the class: 6 – 8 = ____ .
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 2 of 11: Introducing integers with pebbles in the bag [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
Role
RoleTerm
(authority = marcrelator);
(type = text)
Teacher
Affiliation
Kenilworth (NJ) Public Schools
Name
(type = personal)
NamePart
(type = family)
Purdy
NamePart
(type = given)
Thomas LaMonde
Role
RoleTerm
(authority = marcrelator);
(type = text)
Researcher
Affiliation
Rutgers, the State University of New Jersey
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 2 of 11: Introducing integers with pebbles in the bag
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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Dissertation
Relationship
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 2 of 11: Introducing integers with pebbles in the bag
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http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000064700
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TitleInfo
Title
Robert B. Davis Institute for Learning Mathematics Education Collection
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rucore00000001201
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NjR
Identifier
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doi:10.7282/T32J69R3
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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
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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