Early algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 5 of 9: Beginning to make sense of (x + y)(x + y)
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 (individual)
TargetAudience
(authority = RURes_discipline)
Social science
TargetAudience
(authority = RURes_domain)
Mathematics education
Subject
(authority = RURes_subjectOfStudy)
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)
Subject
(authority = rbdil_mathTools)
Subject
(authority = rbdil_setting)
Subject
(authority = rbdil_gradeLevel)
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Reasoning by contradiction
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Substituting numbers for variables
Subject
(authority = rbdil_representations)
Topic
Mathematical expressions
Subject
(authority = rbdil_studentGender)
Subject
(authority = rbdil_studentEthnicity)
Subject
(authority = rbdil_schoolType)
Subject
(authority = rbdil_topic)
Topic
Distributive property
TitleInfo
Title
Early algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 5 of 9: Beginning to make sense of (x + y)(x + y)
Identifier
(type = rbdil)
A56A57-ALG-BIEX-CLIP005
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 = rbdil_district)
Geographic
Kenilworth Public Schools
Abstract
(type = abstract)
In the fifth 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 multiply (x + y)(x + y). Stephanie conjectures that this would be x "squared" plus y "squared", symbolically represented by the exponent 2 above x and above y, only to disprove her conjecture by substituting numbers.
Stephanie then concludes that, since a(x + y) = ax + ay, (x + y)(x + y) could also be represented as
x(x + y) + y(x + y).
The problem as presented to Stephanie:
What about (x + y)(x + y) ? What would that be?
PhysicalDescription
Extent
(unit = digital file(s))
1
InternetMediaType
video/quicktime
InternetMediaType
video/x-flv
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 5 of 9: Beginning to make sense of (x + y)(x + y) [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
DateCreated
(qualifier = exact)
1995-11-08
Place
PlaceTerm
(type = text)
New Brunswick, NJ
Publisher
Robert B. Davis Institute for Learning
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 [electronic resource] : 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 5 of 9, Beginning to make sense of (x + y)(x + y)
Place
Rutgers the State University of New Jersey, New Brunswick, NJ
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 is available in digital format in the Rutgers University Libraries' dissertation collection.
Classification
(authority = RUresearch);
(edition = Data)
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000064094
RelatedItem
(type = host)
TitleInfo
Title
Robert B. Davis Institute for Learning Mathematics Education Collection
Identifier
(type = local)
rucore00000001201
Location
PhysicalLocation
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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/T3GM8696
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