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Proof and Possibility: Emerging Mathematics Conceptions, Self-Efficacy, and Identity in the Stories of Contemporary Black Mathematicians
Proof and Possibility: Emerging Mathematics Conceptions, Self-Efficacy, and Identity in th...
Proof and Possibility: Emerging Mathematics Conceptions, Self-Efficacy, and Identity in the Stories of Contemporary Black Mathematicians

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자료유형  
 학위논문 서양
최종처리일시  
20250211151151
ISBN  
9798382783123
DDC  
510
저자명  
Morrison, Nasriah Clara.
서명/저자  
Proof and Possibility: Emerging Mathematics Conceptions, Self-Efficacy, and Identity in the Stories of Contemporary Black Mathematicians
발행사항  
[Sl] : Columbia University, 2024
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2024
형태사항  
263 p
주기사항  
Source: Dissertations Abstracts International, Volume: 85-12, Section: A.
주기사항  
Advisor: Walker, Erica N.
학위논문주기  
Thesis (Ph.D.)--Columbia University, 2024.
초록/해제  
요약A growing body of literature seeks to challenge the deficit-oriented narratives around Black students in mathematics by exploring the perspectives and experiences of successful Black students and professionals in the field-in doing so, aiming to provide counternarratives to the dominant discourse that center their participants' voices, as well as to understand the factors that may influence Black students' decisions to pursue advanced mathematics degrees and careers. Many such studies highlight racialized mathematics identity as a crucial factor for their participants' long-term mathematics engagement; such studies seek to identify the sociostructural factors that contribute to its development, but generally do not examine the roles of different psychological factors. Despite evidence of the existence of relationships between mathematics identity development and specific cognitive factors such as mathematics conceptions, as well as affective factors such as mathematics self-efficacy, few studies have examined how these various constructs interact with identity development, and in turn, students' mathematics engagement and learning outcomes. Fewer have examined these factors' interactions for Black participants.A comprehensive understanding of how and why Black students decide to persist in mathematics necessitates an integrated approach that simultaneously examines the connections between participants' psychological and sociostructural factors. In light of past findings around the significant role of mathematics self-efficacy in shaping students' long-term mathematics engagement; prior findings around relationships between mathematics self-efficacy and identity; and the influences of mathematics conceptions on other affective mathematics beliefs, I chose for the present study to investigate the contributing factors for and interactions between mathematics self-efficacy, identity, and conceptions throughout the academic trajectories of several contemporary Black mathematicians. In doing so, I hoped to amplify my participants' perspectives in the broader conversation around how to support Black students and students belonging to other historically excluded groups as they navigate mathematics learning environments that, at times, fail to stimulate, nurture, or uplift them.Using thematic analysis of several extensive semi-structured interviews, this narrative inquiry investigated these questions through the narratives of five contemporary Black mathematicians who were selected from a prior study on the impacts of sharing diverse mathematicians' stories with students. Data sources included participants' extant interview transcripts from both this study and other prior studies; as well as extensive follow-up interviews, online public engagement materials such as lectures and media publications, and my own memos. Data was coded using thematic analysis for both deductive themes related to the conceptual framework for this study, as well as emerging themes suggesting the existence of potential interactions between these constructs. Findings, which are reported in narrative form, suggest the importance of early and ongoing engagement with open-ended and reasoning-based mathematics tasks as a means of promoting broad conceptions of mathematics, self-efficacy for completing more challenging nonroutine tasks, as well as robust mathematics identities. Additionally, and in contrast to much of the literature around self-efficacy sources, findings from the present study highlight the particular importance of vicarious experiences of success by other Black mathematicians in shaping not only participants' mathematics self-efficacies but their conceptions of mathematics, and accordingly, their dispositions toward mathematics.
일반주제명  
Mathematics education
일반주제명  
Teacher education
일반주제명  
Black studies
키워드  
African American studies
키워드  
Mathematicians
키워드  
Self-efficacy
키워드  
Perspectives
기타저자  
Columbia University TC: Mathematics Education
기본자료저록  
Dissertations Abstracts International. 85-12A.
전자적 위치 및 접속  
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MARC

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■1001  ▼aMorrison,  Nasriah  Clara.
■24510▼aProof  and  Possibility:  Emerging  Mathematics  Conceptions,  Self-Efficacy,  and  Identity  in  the  Stories  of  Contemporary  Black  Mathematicians
■260    ▼a[Sl]▼bColumbia  University▼c2024
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2024
■300    ▼a263  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  85-12,  Section:  A.
■500    ▼aAdvisor:  Walker,  Erica  N.
■5021  ▼aThesis  (Ph.D.)--Columbia  University,  2024.
■520    ▼aA  growing  body  of  literature  seeks  to  challenge  the  deficit-oriented  narratives  around  Black  students  in  mathematics  by  exploring  the  perspectives  and  experiences  of  successful  Black  students  and  professionals  in  the  field-in  doing  so,  aiming  to  provide  counternarratives  to  the  dominant  discourse  that  center  their  participants'  voices,  as  well  as  to  understand  the  factors  that  may  influence  Black  students'  decisions  to  pursue  advanced  mathematics  degrees  and  careers.  Many  such  studies  highlight  racialized  mathematics  identity  as  a  crucial  factor  for  their  participants'  long-term  mathematics  engagement;  such  studies  seek  to  identify  the  sociostructural  factors  that  contribute  to  its  development,  but  generally  do  not  examine  the  roles  of  different  psychological  factors.  Despite  evidence  of  the  existence  of  relationships  between  mathematics  identity  development  and  specific  cognitive  factors  such  as  mathematics  conceptions,  as  well  as  affective  factors  such  as  mathematics  self-efficacy,  few  studies  have  examined  how  these  various  constructs  interact  with  identity  development,  and  in  turn,  students'  mathematics  engagement  and  learning  outcomes.  Fewer  have  examined  these  factors'  interactions  for  Black  participants.A  comprehensive  understanding  of  how  and  why  Black  students  decide  to  persist  in  mathematics  necessitates  an  integrated  approach  that  simultaneously  examines  the  connections  between  participants'  psychological  and  sociostructural  factors.  In  light  of  past  findings  around  the  significant  role  of  mathematics  self-efficacy  in  shaping  students'  long-term  mathematics  engagement;  prior  findings  around  relationships  between  mathematics  self-efficacy  and  identity;  and  the  influences  of  mathematics  conceptions  on  other  affective  mathematics  beliefs,  I  chose  for  the  present  study  to  investigate  the  contributing  factors  for  and  interactions  between  mathematics  self-efficacy,  identity,  and  conceptions  throughout  the  academic  trajectories  of  several  contemporary  Black  mathematicians.  In  doing  so,  I  hoped  to  amplify  my  participants'  perspectives  in  the  broader  conversation  around  how  to  support  Black  students  and  students  belonging  to  other  historically  excluded  groups  as  they  navigate  mathematics  learning  environments  that,  at  times,  fail  to  stimulate,  nurture,  or  uplift  them.Using  thematic  analysis  of  several  extensive  semi-structured  interviews,  this  narrative  inquiry  investigated  these  questions  through  the  narratives  of  five  contemporary  Black  mathematicians  who  were  selected  from  a  prior  study  on  the  impacts  of  sharing  diverse  mathematicians'  stories  with  students.  Data  sources  included  participants'  extant  interview  transcripts  from  both  this  study  and  other  prior  studies;  as  well  as  extensive  follow-up  interviews,  online  public  engagement  materials  such  as  lectures  and  media  publications,  and  my  own  memos.  Data  was  coded  using  thematic  analysis  for  both  deductive  themes  related  to  the  conceptual  framework  for  this  study,  as  well  as  emerging  themes  suggesting  the  existence  of  potential  interactions  between  these  constructs.  Findings,  which  are  reported  in  narrative  form,  suggest  the  importance  of  early  and  ongoing  engagement  with  open-ended  and  reasoning-based  mathematics  tasks  as  a  means  of  promoting  broad  conceptions  of  mathematics,  self-efficacy  for  completing  more  challenging  nonroutine  tasks,  as  well  as  robust  mathematics  identities.  Additionally,  and  in  contrast  to  much  of  the  literature  around  self-efficacy  sources,  findings  from  the  present  study  highlight  the  particular  importance  of  vicarious  experiences  of  success  by  other  Black  mathematicians  in  shaping  not  only  participants'  mathematics  self-efficacies  but  their  conceptions  of  mathematics,  and  accordingly,  their  dispositions  toward  mathematics.
■590    ▼aSchool  code:  0054.
■650  4▼aMathematics  education
■650  4▼aTeacher  education
■650  4▼aBlack  studies
■653    ▼aAfrican  American  studies
■653    ▼aMathematicians
■653    ▼aSelf-efficacy
■653    ▼aPerspectives
■690    ▼a0280
■690    ▼a0530
■690    ▼a0325
■71020▼aColumbia  University▼bTC:  Mathematics  Education.
■7730  ▼tDissertations  Abstracts  International▼g85-12A.
■790    ▼a0054
■791    ▼aPh.D.
■792    ▼a2024
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17161025▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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