Early algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 4 of 9: Making general sense of x times x.
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_qualitativeMethod)
Interviews (individual)
Genre
(authority = RURes_researchDataType)
Longitudinal data
Genre
(authority = RURes_researchMethodology)
Qualitative research
Genre
(authority = RURes_dataCollectionSetting)
School
Subject
Name
(authority = RBDIL_corporate)
NamePart
(type = corporate)
Harding Elementary School (Kenilworth, N.J.)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Stephanie (student)
TitleInfo
Title
Early algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 4 of 9: Making general sense of x times x.
Identifier
(type = rbdil)
A56A57-ALG-BIEX-CLIP004
Subject
(authority = Grade range)
Subject
(authority = LCSH)
Topic
Critical thinking in children--New Jersey--Case studies
Subject
(authority = LCSH)
Topic
Learning, Psychology of--Case studies
Subject
(authority = LCSH)
Topic
Mathematics education
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_cameraView)
Subject
(authority = rbdil_cameraView)
Subject
(authority = rbdil_mathStrand)
Subject
(authority = rbdil_mathProblem)
Topic
Quadratic expressions
Subject
(authority = rbdil_mathTools)
Subject
(authority = rbdil_setting)
Subject
(authority = rbdil_gradeLevel)
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Subject
(authority = rbdil_studentGender)
Subject
(authority = rbdil_studentEthnicity)
Subject
(authority = rbdil_schoolType)
Subject
(authority = rbdil_topic)
Subject
(authority = RURes_subjectOfStudy)
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Multiplicative reasoning
Subject
(authority = rbdil_representations)
Topic
Mathematical expressions
Subject
(authority = rbdil_representations)
Subject
(authority = rbdil_district)
Geographic
Kenilworth Public Schools
Abstract
(type = summary)
In the fourth clip in a series of nine from the first of seven interviews focusing on Early Algebraic Ideas about the binomial expansion, researcher Carolyn Maher asks Stephanie to focus on the meaning of the expression x times x. After developing a table to represent consecutive numerical values of x with each value expressed as a factor two times, Stephanie concludes that each numerical product of two identical factors can be expressed as the number "squared", represented by the exponent 2 following the number. She then concludes that, for the variable "x", the expression "x times x" can be represented as "x squared" using the exponent 2 after the "x".
The problem as presented to Stephanie:
Suppose you had x times x. What would that be?
PhysicalDescription
InternetMediaType
video/quicktime
InternetMediaType
video/x-flv
Extent
(unit = digital file(s))
1
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. (1995). Early algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 4 of 9: Making general sense of x times x. [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
Place
PlaceTerm
(type = text)
New Brunswick, NJ
Publisher
Robert B. Davis Institute for Learning
CopyrightDate
(qualifier = exact)
1995-11-08
RelatedItem
(type = host)
TitleInfo
Title
A56, Early algebra ideas about binomial expansion, Stephanie's interview, one of seven (student view), Grade 8, November 8, 1995, raw footage
Identifier
(type = rbdil)
A56-19951108-KNWH-SV-INT-GR8-ALG-BIEX-RAW
RelatedItem
(type = host)
TitleInfo
Title
A57, Early algebra ideas about binomial expansion, Stephanie's interview, one of seven (work view), Grade 8, November 8, 1995, raw footage
Identifier
(type = rbdil)
A57-19951108-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 one of seven, Clip 4 of 9: Making general sense of x times x.
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 = global)
http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000057485
Reference
http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000057485
Detail
Dissertation available in the Rutgers University Libraries' dissertation collection
Classification
(authority = RUresearch);
(edition = Data)
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000064087
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);
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NjR
Identifier
(type = doi)
doi:10.7282/T3BZ6523
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