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Conventions of the language of mathematical proof writing at the undergraduate level
Descriptive
TitleInfo
Title
Conventions of the language of mathematical proof writing at the undergraduate level
Name
(type = personal)
NamePart
(type = family)
Lew
NamePart
(type = given)
Kristen
NamePart
(type = date)
1988-
DisplayForm
Kristen Lew
Role
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(authority = RULIB)
author
Name
(type = personal)
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Mejia-Ramos
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Juan Pablo
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Juan Pablo Mejia-Ramos
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Advisory Committee
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chair
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Weber
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Keith
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Keith Weber
Affiliation
Advisory Committee
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internal member
Name
(type = personal)
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(type = family)
Dougherty
NamePart
(type = given)
Susan
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Susan Dougherty
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Advisory Committee
Role
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(authority = RULIB)
internal member
Name
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Inglis
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(type = given)
Matthew
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Matthew Inglis
Affiliation
Advisory Committee
Role
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(authority = RULIB)
outside member
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Rutgers University
Role
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(authority = RULIB)
degree grantor
Name
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NamePart
Graduate School - New Brunswick
Role
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school
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Text
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theses
OriginInfo
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2016
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2016-10
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2016
Place
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xx
Language
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eng
Abstract
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This dissertation consists of three studies investigating the language of mathematical proof writing at the undergraduate level by considering a series of potential breaches of the conventions of this language. The first study describes interviews with eight mathematicians and fifteen undergraduates and their opinions on the potential breaches present in student-produced proofs. In the second study, mathematicians and undergraduates from top mathematics departments in the United States completed a survey investigating how a larger sample of mathematicians and undergraduates perceived some of the potential breaches discussed in Study 1. The third study focused on how some undergraduates described and justified their use of potential breaches of the conventions of proof writing in the proofs they wrote throughout their introduction to proof courses. These three studies present a jumping-off point for future research considering how undergraduates learn to write proofs and how mathematics instructors present the linguistic aspect of proof writing.
Subject
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Topic
Education
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TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier
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ETD
Identifier
ETD_7564
PhysicalDescription
Form
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electronic resource
InternetMediaType
application/pdf
InternetMediaType
text/xml
Extent
1 online resource (ix, 142 p. : ill.)
Note
(type = degree)
Ph.D.
Note
(type = bibliography)
Includes bibliographical references
Subject
(authority = ETD-LCSH)
Topic
Mathematics--Study and teaching
Subject
(authority = ETD-LCSH)
Topic
Proof theory
Note
(type = statement of responsibility)
by Kristen Lew
RelatedItem
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TitleInfo
Title
Graduate School - New Brunswick Electronic Theses and Dissertations
Identifier
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rucore19991600001
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(displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Identifier
(type = doi)
doi:10.7282/T3ST7S5X
Genre
(authority = ExL-Esploro)
ETD doctoral
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Rights
RightsDeclaration
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The author owns the copyright to this work.
RightsHolder
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Name
FamilyName
Lew
GivenName
Kristen
Role
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Type
Permission or license
DateTime
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(point = start)
2016-09-12 22:56:00
AssociatedEntity
Name
Kristen Lew
Role
Copyright holder
Affiliation
Rutgers University. Graduate School - New Brunswick
AssociatedObject
Type
License
Name
Author Agreement License
Detail
I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
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Technical
RULTechMD
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ETD
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windows xp
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1.4
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2016-09-26T16:04:18
DateCreated
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2016-09-26T16:04:18
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