Staff View
Early algebra ideas involving two variables: Romina and Brian work on Guess My Rule problems 3 and 4

Descriptive

TypeOfResource
MovingImage
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)
Interviews (small group)
Subject
Name (authority = RBDIL_corporate)
NamePart (type = corporate)
Harding Elementary School (Kenilworth, N.J.)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Romina (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 = 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_setting)
Topic
Classroom
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Topic
Female
Subject (authority = rbdil_studentEthnicity)
Topic
White
Subject (authority = rbdil_cameraView)
Topic
Student view
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Direct reasoning
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Recognizing a pattern
Subject (authority = Grade range)
Topic
6-8
Subject (authority = rbdil_gradeLevel)
Topic
6
Subject (authority = rbdil_cameraView)
Topic
Work view
Subject (authority = rbdil_mathStrand)
Topic
Algebra
Subject (authority = rbdil_mathProblem)
Topic
Open sentence in two variables
Subject (authority = rbdil_mathTools)
Topic
Worksheet with problem statements
Subject (authority = rbdil_representations)
Topic
Equations
Subject (authority = rbdil_representations)
Topic
Box and triangle notations for variables
Subject (authority = rbdil_representations)
Topic
Function tables
Subject (authority = rbdil_representations)
Topic
Truth sets
Subject (authority = rbdil_topic)
Topic
Finite differences
Subject (authority = rbdil_topic)
Topic
Linear equations
Subject (authority = rbdil_topic)
Topic
Y-intercept
Subject (authority = rbdil_topic)
Topic
Constant
Subject (authority = LCSH)
Topic
Critical thinking in children--New Jersey--Case studies
Subject (authority = rbdil_district)
Geographic
Kenilworth Public Schools
Subject
HierarchicalGeographic
Country
UNITED STATES
State
New Jersey
County
Union County
City
Kenilworth (N.J.)
Classification (authority = RUresearch); (edition = Data)
PhysicalDescription
Extent (unit = digital file(s))
1
InternetMediaType
video/x-flv
TargetAudience (authority = RURes_discipline)
Social science
TargetAudience (authority = RURes_domain)
Mathematics education
Note (type = supplementary materials)
Transcript is also available.
Note (type = APA citation)
Robert B. Davis Institute for Learning. (1993). Early algebra ideas involving two variables: Romina and Brian work on Guess My Rule problems 3 and 4 [video]. Retrieved from
Name (type = personal)
NamePart (type = family)
Davis
NamePart (type = given)
Robert B.
Role
RoleTerm (type = text); (authority = marcrelator)
Researcher
OriginInfo
Place
PlaceTerm (type = text)
New Brunswick, NJ
Publisher
Robert B. Davis Institute for Learning
CopyrightDate (qualifier = exact); (encoding = w3cdtf)
1993-10-01
DateCreated (encoding = w3cdtf); (qualifier = exact)
1993-10-01
RelatedItem (type = is referenced by)
TitleInfo
Title
Tracing beliefs and behaviors of a participant in a longitudinal study for the development of mathematical ideas and reasoning [electronic resource] : a case study. / by Maria Steffero
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.2/rucore10001500001.ETD.000052894
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 = is referenced by)
TitleInfo
Title
Learning the concept of function: Guess my rule activities with Dr. Robert B. Davis
Identifier (type = lccn)
QA.G497 2008
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 = lccn)
A53-19931001-KNWH-CV-CLASS-GR6-ALG-GMR-RAW
Extension
DescriptiveEvent
Type
Related publication
Label
Ed.D. dissertation references the video footage that includes Early algebra ideas involving two variables: Romina and Brian work on Guess My Rule problems 3 and 4
Place
Rutgers, the State University of New Jersey, New Brunswick, NJ
DateTime (encoding = w3cdtf); (qualifier = exact)
2010
AssociatedEntity
Role
Author
Name
Steffero, Maria
Affiliation
Rutgers, the State University of New Jersey
AssociatedObject
Type
Dissertation
Relationship
References
Name
Tracing beliefs and behaviors of a participant in a longitudinal study for the development of mathematical ideas and reasoning [electronic resource] : a case study.
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.2/rucore10001500001.ETD.000052894
Reference (type = digital)
http://hdl.rutgers.edu/1782.2/rucore10001500001.ETD.000052894
Detail
Dissertation available in digital format in the Rutgers University Libraries dissertation collection.
Extension
DescriptiveEvent
Type
Related publication
Label
Ed.D. dissertation references the video footage that includes Early algebra ideas involving two variables: Romina and Brian work on Guess My Rule problems 3 and 4
DateTime (point = start); (encoding = iso8601); (qualifier = exact)
2008
AssociatedEntity
Role
Author
Name
Giordano, Patricia
Affiliation
Rutgers, the State University of New Jersey
Reference
QA.G497 2008
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.
Place
Rutgers, the State University of New Jersey, New Brunswick, NJ
Identifier (type = rbdil)
A51A52A53-ALG-GMR-CLIP019
Abstract (type = summary)
This video comes from a 6th grade class session in which the researcher, Robert B. Davis, introduces algebraic equations with two variables, using a square “box” and a “triangle” as symbols to represent the variables. The objective of the activity is to create a “rule” for each problem on the worksheet, where the rule is the equation for a truth set presented in table form with "box" column as input values and "triangle" column as output values. Tables for problems 3 and 4 appear below. In this clip, the Romina and Brian work as partners. At this point they have moved to problem 3 on their worksheets and express to the researcher that they are progressing well. When comparing rules for problem number three, however, Romina says that she thinks “it” (the y-intercept) is 1. When Brian challenges her conjecture, she works to convince Brian. For the next problem, Romina asserts that the slope for the new linear function rule is “ten.” Romina soon leans over and corrects the rule Brian is writing on his paper. She explains her method for identifying the y-intercept for the function rule: “All you have to do, Brian, is take the first number and add it.” Brian then asks her if the rest of the rule is “blank times four” or “times seven.” Romina describes that she finds the slope by looking for “whatever is between seven and seventeen” – two of the entries in the triangle column. Then Brian writes the correct rule for problem number four as a linear function with a slope of ten and y-intercept seven.

Table for Problem 3:
□ ∆
0 1
1 4
2 7
3 10

Table for Problem 4:
□ ∆
0 7
1 17
2 27
3 37
4 47
5 57
TitleInfo
Title
Early algebra ideas involving two variables: Romina and Brian work on Guess My Rule problems 3 and 4
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/T3JD4V59
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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.
RightsEvent
Type
Permission or license
Label
Non-exclusive license to share the video presentation via RUcore.
Place
New Brunswick, NJ
DateTime
11/3/2009
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
RightsHolder (type = corporate)
Name
Robert B. Davis Institute for Learning
Role
Copyright holder
Telephone
848-932-0776
Address
Rutgers Graduate School of Education10 Seminary PlaceNew Brunswick, NJ 08901-1183
ContactInformationDate
2014-02-07
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Source

SourceTechnical
SourceType
Videotape
Format
S-VHS
Gauge
1/2-inch
Duration
00:02:50
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Technical

RULTechMD (ID = TECHNICAL1)
VideoSampling
SamplingSize
4:2:2
WordSize
3-byte
BitsPerSample
24-bit
ContentModel
MovingImage
PreservationLevel
full
Generation
Digital preservation master
Duration
00:02:50
System
MS Video
Frame
Height
640
Width
480
Rate
29.97 fps
AspectRatio
4:3
Structure
interlaced
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CompressionType
uncompressed
Codec
CodecName
full frame uncompressed
CodecQuality
code regenerating
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2
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stereo
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44.1 kHz
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16-bit
WordSize
3-byte
RULTechMD (ID = TECHNICAL2)
ContentModel
MovingImage
RULTechMD (ID = TECHNICAL3)
ContentModel
MovingImage
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