Early algebra ideas about binomial expansion, Stephanie's interview three of seven, Clip 4 of 7: Beginning to explore volume as it compares to area
Descriptive
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 (individual)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Stephanie (student)
Subject
Name
(authority = RBDIL_corporate)
NamePart
(type = corporate)
Harding Elementary School (Kenilworth, N.J.)
Subject
(authority = RURes_subjectOfStudy)
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 = LCSH)
Topic
Manipulatives (Education)--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
Construct volume model
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_forms of reasoning, strategies and heuristics)
Topic
Considering a simpler problem
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Constructing a physical model
Subject
(authority = rbdil_representations)
Topic
Mathematical expressions
Subject
(authority = rbdil_representations)
Subject
(authority = rbdil_topic)
Subject
(authority = rbdil_topic)
Subject
(authority = rbdil_setting)
Subject
(authority = rbdil_schoolType)
Subject
(authority = rbdil_cameraView)
Subject
(authority = rbdil_cameraView)
Subject
(authority = rbdil_studentGender)
Subject
(authority = rbdil_studentEthnicity)
Subject
(authority = rbdil_topic)
Subject
(authority = rbdil_topic)
Subject
(authority = rbdil_topic)
TypeOfResource
MovingImage
Identifier
(type = rbdil)
A64A65-ALG-BIEX-CLIP004
Subject
(authority = rbdil_district)
Geographic
Kenilworth Public Schools
Classification
(authority = RUresearch);
(edition = Data)
Abstract
(type = summary)
In the fourth clip in a series of seven from the third of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, Stephanie refers to the Base-10 squared materials to explain the difference between area and volume to the researcher, Carolyn Maher. They extend an earlier problem modeling the square of (a+b) by considering various numbers, a and b, for which the sum of the two numbers is 10. Stephanie provides an argument for why the volume of the cube with a side of 10 units is 1000 cubic units.
The problem as presented to Stephanie:
How could you convince someone that the volume of the large cube is 1000 cubic unit?
PhysicalDescription
InternetMediaType
video/quicktime
Extent
(unit = digital file(s))
1
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. (1996). Early algebra ideas about binomial expansion, Stephanie's interview three of seven, Clip 4 of 7: Beginning to explore volume as it compares to area. [video]. Retrieved from
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
OriginInfo
CopyrightDate
(qualifier = exact)
1996-02-07
Place
PlaceTerm
(type = text)
New Brunswick, NJ
Publisher
Robert B. Davis Institute for Learning
RelatedItem
(type = host)
TitleInfo
Title
A64, Early algebra ideas about binomial expansion, Stephanie's interview three of seven (student view), Grade 8, February 7, 1996, raw footage.
Identifier
(type = rbdil)
A64-19960207-KNWH-SV-INT-GR8-ALG-BIEX-RAW
RelatedItem
(type = host)
TitleInfo
Title
A65, Early algebra ideas about binomial expansion, Stephanie's interview three of seven (work view), Grade 8, February 7, 1996, raw footage.
Identifier
(type = rbdil)
A65-19960207-KNWH-WV-INT-GR8-ALG-BIEX-RAW
RelatedItem
(type = is referenced by)
TitleInfo
Title
A case study : the development of Stephanie's algebraic reasoning / by Eman Y. Aboelnaga.
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000057485
Extension
DescriptiveEvent
Label
Ed.D. dissertation references the video footage that includes Early algebra ideas about binomial expansion, Stephanie's interview three of seven, Clip 4 of 7: Beginning to explore volume as it compares to area.
DateTime
(qualifier = exact)
2011
AssociatedEntity
Name
Aboelnaga, Eman Y. (Eman Yousry)
Affiliation
Rutgers, the State University of New Jersey
AssociatedObject
Name
A case study : the development of Stephanie's algebraic reasoning
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000057485
Reference
http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000057485
Detail
Dissertation available in digital format in the Rutgers University Libraries' dissertation collection.
TitleInfo
Title
Early algebra ideas about binomial expansion, Stephanie's interview three of seven, Clip 4 of 7: Beginning to explore volume as it compares to area
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000064641
RelatedItem
(type = host)
TitleInfo
Title
Robert B. Davis Institute for Learning Mathematics Education Collection
Identifier
(type = local)
rucore00000001201
Location
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(displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Location
PhysicalLocation
(authority = marcorg);
(displayLabel = Rutgers University. Libraries)
NjR
Identifier
(type = doi)
doi:10.7282/T31V5CW4
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