Early algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 4 of 7: Investigating numerical and algebraic representations for each case for the number of Unifix-cube towers 4-tall selecting from red and yellow cubes.
Descriptive
Identifier
(type = rbdil)
B08B09-ALG-BIEX-CLIP004
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
Stephanie (student)
Subject
Name
(authority = RBDIL_corporate)
NamePart
Harding Elementary School (Kenilworth, N.J.)
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 = 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_cameraView)
Subject
(authority = rbdil_cameraView)
Subject
(authority = rbdil_gradeLevel)
Subject
(authority = rbdil_mathStrand)
Subject
(authority = rbdil_mathProblem)
Subject
(authority = rbdil_mathTools)
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
Recognizing a pattern
Subject
(authority = rbdil_representations)
Subject
(authority = rbdil_topic)
Subject
(authority = rbdil_setting)
Subject
(authority = rbdil_schoolType)
Subject
(authority = rbdil_studentGender)
Subject
(authority = rbdil_studentEthnicity)
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Controlling for variables
Subject
(authority = rbdil_forms of reasoning, strategies and heuristics)
Subject
(authority = rbdil_representations)
Topic
Combinatorics notation
TypeOfResource
MovingImage
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 seventh of seven interviews, 8th grader Stephanie and researcher Carolyn Maher investigate how to numerically represent the number of Unifix towers for n = 4 cubes tall, selecting from red and yellow cubes, for each case from r = 0 red cubes to r = 4 red cubes. Maher poses questions about the algebraic representation for each case and how it might be generalized for n = 5 and n = 6. Researcher Donna Weir is observing.
The problems posed to Stephanie are:
How might you use the same reasoning (building from towers with exactly one red cube) that produced Unifix-cube towers with two red cubes, when selecting from red and yellow cubes, to determine the number of towers 4-tall with exactly 3 cubes? How would you represent this numerically and algebraically?
How could you use this reasoning to represent numerically the number of towers 4-tall with four red cubes?
Given the single tower with no red cubes, how could you represent numerically the number of towers with exactly one red cube?
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 and student work are also available
Note
(type = APA citation)
Robert B. Davis Institute for Learning. (1996). Early algebra ideas about binomial expansion, Stephanie's interview seven of seven, Clip 4 of 7: Investigating numerical and algebraic representations for each case for the number of Unifix-cube towers 4-tall selecting from red and yellow cubes. [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
Name
(type = personal)
NamePart
(type = family)
Weir
NamePart
(type = given)
M. Donna
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
RelatedItem
(type = host)
TitleInfo
Title
B08, Early algebra ideas about binomial expansion, Stephanie's interview seven of seven (student view), Grade 8, April 17, 1996, raw footage.
Identifier
(type = rbdil)
B08-19960417-KNWH-SV-INT-GR8-ALG-BIEX-RAW
RelatedItem
(type = host)
TitleInfo
Title
B09, Early algebra ideas about binomial expansion, Stephanie's interview seven of seven (work view), Grade 8, April 17, 1996, raw footage.
Identifier
(type = rbdil)
B09-19960417-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 seven of seven, Clip 4 of 7: Investigating numerical and algebraic representations for each case for the number of Unifix-cube towers 4-tall selecting from red and yellow cubes.
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 = global)
http://hdl.rutgers.edu/1782.1/rucore10001500001.ETD.000057485
Reference
(type = digital)
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 seven of seven, Clip 4 of 7: Investigating numerical and algebraic representations for each case for the number of Unifix-cube towers 4-tall selecting from red and yellow cubes.
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore00000001201.Video.000065433
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/T3CZ35ZX
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