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Tracing Stephanie’s Growth Mathematical Understanding: A learning progression through the Pirie-Kieren lense

Descriptive

TypeOfResource
Text
TitleInfo
Title
Tracing Stephanie’s Growth Mathematical Understanding: A learning progression through the Pirie-Kieren lense
Identifier (type = doi)
doi:10.7282/t3-ds2c-ve09
Abstract
This analytic explores Stephanie’s growth in mathematical understanding during a 98-minute one-on-one interview session with Researcher Maher. Stephanie’s learning progression is mapped from primitive knowing to formalizing using the Pirie-Kieren model for studying growth in mathematical understanding over time. Previously, Stephanie had worked on the four-tall towers problem, and developed a new method using cases to partially solve the six-tall towers problem. Stephanie describes finding twenty towers using her case method for the four-tall towers problem. She explains her reasoning and method for finding these towers, which included recursive moving of a white cube down one position from its previous position which resulted in four total towers. She goes through her argument for the towers case by case and provides arguments for why she believes that there are no more towers in each case. Stephanie comes to the realization that some opposites result in towers that have already been accounted for. Stephanie recreates the three-tall, two-tall, and one tall towers sets using the case-based method and recognizes the doubling pattern that she had encountered previously. After this, Stephanie relates the towers problem to the shirts and pants problem and connects the variables from each problem to what they represent in the other context. She is able to solve the five-tall problem and the shirts and pants problem for five different outfit articles using the patterns that she observed and the connections that she made.
RelatedItem (type = host)
TitleInfo
Title
RBDIL Analytics
Identifier (type = local)
rucore00000002136
Name (id = NAME-1); (type = personal)
NamePart (type = family)
Teehan
NamePart (type = given)
Kara
DisplayForm
Kara Teehan
Role
RoleTerm (authority = marcrelator); (type = text)
Creator
Affiliation
Rutgers University
Name (id = NAME-2); (type = personal)
NamePart (type = family)
Maher
NamePart (type = given)
Carolyn
DisplayForm
Carolyn Maher
Role
RoleTerm (authority = marcrelator); (type = text)
Publisher
Affiliation
Rutgers University
OriginInfo
DateCreated (qualifier = exact)
2019-01-03T21:22:36-0500
OriginInfo
DateOther (qualifier = exact); (type = modified)
2019-01-22T09:07:03-0500
OriginInfo
DateOther (qualifier = exact); (type = published)
2019-01-22T13:13:48-0500
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Rights

RightsDeclaration (AUTHORITY = RULIB); (ID = rulibRdec0007)
The author owns the copyright to this work.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
Note
RightsHolder
Name (TYPE = personal); (ID = R-NAME_0001)
Kara Teehan
Role
Author
ContactInformation
ContactInformationDate
2019-01-22T09:09:41-0500
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Technical

ContentModel
Analytic
PreservationLevel
full
Generation
born digital source
MimeType (TYPE = file)
application/xml
FileSize (UNIT = bytes)
20161
CreatingApplication
CreatingApplicationName
RUanalytic
CreatingApplicationVersion
2.4 (summer 2017)
CreatingApplicationDateCreated
2019-01-22T13:13:48-0500
Note
Generated using the RUanalytic tool export function.
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