Staff View
Building Multiple Models Using Recursive Reasoning

## Descriptive

TypeOfResource
Text
TitleInfo
Title
Building Multiple Models Using Recursive Reasoning
Identifier (type = doi)
doi:10.7282/T3S46TRP
Abstract
Over the course of the fractions unit, students transitioned from building a single model to justify an answer to building multiple models to support their ideas and represent a single problem. Many students used recursive reasoning, basing the structure of one model on a previous model they had built. Some students progressed further in their reasoning, using the recursive methods to predict other models, as well as form generalization which would describe all the models of a specific type.
In these clips, we see how in the context of three different problems, the fourth graders use recursive reasoning to develop multiple models, predict additional models, as well as form general rules for the creation of models. Alan and Erik use recursive reasoning to model the comparison of one-half and one -fourth and generalize their findings; Alan applies recursive reasoning to build multiple models depicting the comparison of two-fifths and one-half, and predicts the form of larger models; and the class engages in a discussion using recursive reasoning to predict the structure of additional models for comparing two-thirds and three-fourths.
Genre (authority = RULIB)
Student model building
Genre (authority = RULIB)
Reasoning
RelatedItem (type = host)
TitleInfo
Title
RBDIL Analytics
Identifier (type = local)
rucore00000002136
Name (id = NAME-1); (type = personal)
NamePart (type = family)
Salb
NamePart (type = given)
Baila
DisplayForm
Baila Salb
Role
RoleTerm (authority = RULIB)
Creator
Affiliation
Rutgers University
Name (id = NAME-2); (type = personal)
NamePart (type = family)
Maher
NamePart (type = given)
Carolyn
DisplayForm
Carolyn Maher
Role
RoleTerm (authority = RULIB)
Creator
Affiliation
Rutgers University
Name (id = NAME-3); (type = personal)
NamePart (type = family)
Maher
NamePart (type = given)
Carolyn
DisplayForm
Carolyn Maher
Role
RoleTerm (authority = RULIB)
Publisher
Affiliation
Rutgers University
OriginInfo
DateCreated (qualifier = exact)
2014-03-24T13:23:19-0400
OriginInfo
DateOther (qualifier = exact); (type = modified)
2015-06-16T16:51:12-0400
OriginInfo
DateOther (qualifier = exact); (type = published)
2015-06-16T17:10:43-0400
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## Rights

RightsDeclaration (AUTHORITY = RULIB); (ID = rulibRdec0007)
The author owns the copyright to this work.
Status
Availability
Status
Open
Reason
Note
RightsHolder
Name (TYPE = personal); (ID = R-NAME_0001)
Baila Salb
Role
Author
ContactInformation
ContactInformationDate
2014-10-22T17:40:41-0400
RightsHolder
Name (TYPE = personal); (ID = R-NAME_0002)
Carolyn Maher
Role
Author
ContactInformation
ContactInformationDate
2014-09-04T16:13:29-0400
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## Technical

ContentModel
Analytic
PreservationLevel
full
Generation
born digital source
MimeType (TYPE = file)
application/xml
FileSize (UNIT = bytes)
12093
CreatingApplication
CreatingApplicationName
RUanalytic
CreatingApplicationVersion
2.0
CreatingApplicationDateCreated
2015-06-16T17:10:43-0400
Note
Generated using the RUanalytic tool export function.
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Version 8.5.1