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Dual Number Systems Within and Between Languages: Cognitive Processing in Simple and Complex Numerical Tasks Using Behavioral and Electrophysiological Methods
Dual Number Systems Within and Between Languages: Cognitive Processing in Simple and Compl...
Dual Number Systems Within and Between Languages: Cognitive Processing in Simple and Complex Numerical Tasks Using Behavioral and Electrophysiological Methods

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자료유형  
 학위논문 서양
최종처리일시  
20260202103538
ISBN  
9798280761223
DDC  
153
저자명  
Oh, Elizabeth Dayoung.
서명/저자  
Dual Number Systems Within and Between Languages: Cognitive Processing in Simple and Complex Numerical Tasks Using Behavioral and Electrophysiological Methods
발행사항  
[Sl] : Columbia University, 2025
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2025
형태사항  
212 p
주기사항  
Source: Dissertations Abstracts International, Volume: 86-12, Section: B.
주기사항  
Advisor: Gordon, Peter.
학위논문주기  
Thesis (Ph.D.)--Columbia University, 2025.
초록/해제  
요약This research explores how language influences arithmetic processing, focusing specifically on how people's experiences with different number systems affect numerical cognition. Two studies compared Korean adults, who speak one language but use two distinct number systems-Sino-Korean (SK) and Native Korean (NK)-with Mandarin-English bilingual adults, who use two separate languages for math. Each group had extensive arithmetic experience primarily with one number system. Korean adults used SK numbers for formal math and rarely used NK numbers in arithmetic contexts. Similarly, bilingual adults mostly learned and practiced arithmetic in Mandarin, starting from preschool through high school, giving them more experience with Mandarin numbers compared to English. Study 1 explored how numerical experience influences basic numerical processing using a parity-judgment task combined with brain responses (ERPs). Participants included 15 Mandarin-English bilingual adults and 15 Korean adults. Their task was to quickly decide whether numbers were odd or even while also occasionally switching between number systems-English and Mandarin for bilinguals, and Sino-Korean (SK) and Native Korean (NK) for Koreans. Both groups performed similarly overall, but interestingly, participants made more errors when switching from their less-preferred number system (English or NK) to their preferred one (Mandarin or SK). The ERP analysis focused on two processes: attention (measured by the P2 response) and inhibitory control (measured by the N2 response). Both groups showed similar increases in the P2 response when switching number systems or detecting changes in numerical parity, suggesting they had comparable attentional processing. However, bilingual participants had shorter P2 latencies than Korean speakers, indicating they processed attention-related aspects of the task more quickly or efficiently. Additionally, bilingual adults showed stronger N2 responses during switching, indicating higher demands on inhibitory control. Korean adults, by contrast, showed smaller N2 responses, suggesting less inhibitory effort, likely because they were switching number systems within one language rather than across two languages.Study 2 moved beyond simple parity judgments to examine more complex arithmetic tasks-addition, subtraction, and multiplication. Korean adults performed these tasks using two number systems (SK and NK), while bilingual adults used two different languages (Mandarin and English). For Korean adults, addition and subtraction showed no differences in reaction times between SK and NK. Interestingly, multiplication was different: Korean adults solved multiplication problems more slowly (by about 14%) when using their more familiar SK system. In contrast, bilingual adults showed clear reaction-time advantages when solving addition and subtraction problems in Mandarin, their preferred math language. This suggests that arithmetic retrieval depends strongly on the language in which arithmetic was initially learned, rather than just on general numerical experience or familiarity. However, multiplication tasks showed no reaction-time differences between Mandarin and English, suggesting that more complex arithmetic might rely on procedural strategies that reduce language-specific advantages. Overall, these findings suggest that using two languages requires greater inhibitory control effort, even when behavioral performance appears similar between bilinguals (two languages) and Korean speakers (two number systems within one language). For addition and subtraction tasks-which mainly involve procedural-familiarity alone did not create differences in performance. Korean adults performed equally well using both their familiar (SK) and less familiar (NK) number systems, while bilingual adults solved problems significantly faster in their preferred, first-learned language (L1). For multiplication, however, tasks depend more heavily on memorized facts and verbal memory. Here, the advantages of language familiarity or initial language learning faded, and both groups performed similarly.
일반주제명  
Cognitive psychology
일반주제명  
Educational psychology
일반주제명  
Nanoscience
일반주제명  
Bilingual education
일반주제명  
English as a second language
키워드  
Arithmetic solving
키워드  
Bilingualism
키워드  
EEG
키워드  
N2
키워드  
Numerical cognition
키워드  
Parity task
기타저자  
Columbia University TC: Cognitive Studies in Education
기본자료저록  
Dissertations Abstracts International. 86-12B.
전자적 위치 및 접속  
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MARC

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■1001  ▼aOh,  Elizabeth  Dayoung.
■24510▼aDual  Number  Systems  Within  and  Between  Languages:  Cognitive  Processing  in  Simple  and  Complex  Numerical  Tasks  Using  Behavioral  and  Electrophysiological  Methods
■260    ▼a[Sl]▼bColumbia  University▼c2025
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2025
■300    ▼a212  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  86-12,  Section:  B.
■500    ▼aAdvisor:  Gordon,  Peter.
■5021  ▼aThesis  (Ph.D.)--Columbia  University,  2025.
■520    ▼aThis  research  explores  how  language  influences  arithmetic  processing,  focusing  specifically  on  how  people's  experiences  with  different  number  systems  affect  numerical  cognition.  Two  studies  compared  Korean  adults,  who  speak  one  language  but  use  two  distinct  number  systems-Sino-Korean  (SK)  and  Native  Korean  (NK)-with  Mandarin-English  bilingual  adults,  who  use  two  separate  languages  for  math.  Each  group  had  extensive  arithmetic  experience  primarily  with  one  number  system.  Korean  adults  used  SK  numbers  for  formal  math  and  rarely  used  NK  numbers  in  arithmetic  contexts.  Similarly,  bilingual  adults  mostly  learned  and  practiced  arithmetic  in  Mandarin,  starting  from  preschool  through  high  school,  giving  them  more  experience  with  Mandarin  numbers  compared  to  English. Study  1  explored  how  numerical  experience  influences  basic  numerical  processing  using  a  parity-judgment  task  combined  with  brain  responses  (ERPs).  Participants  included  15  Mandarin-English  bilingual  adults  and  15  Korean  adults.  Their  task  was  to  quickly  decide  whether  numbers  were  odd  or  even  while  also  occasionally  switching  between  number  systems-English  and  Mandarin  for  bilinguals,  and  Sino-Korean  (SK)  and  Native  Korean  (NK)  for  Koreans.  Both  groups  performed  similarly  overall,  but  interestingly,  participants  made  more  errors  when  switching  from  their  less-preferred  number  system  (English  or  NK)  to  their  preferred  one  (Mandarin  or  SK).  The  ERP  analysis  focused  on  two  processes:  attention  (measured  by  the  P2  response)  and  inhibitory  control  (measured  by  the  N2  response).  Both  groups  showed  similar  increases  in  the  P2  response  when  switching  number  systems  or  detecting  changes  in  numerical  parity,  suggesting  they  had  comparable  attentional  processing.  However,  bilingual  participants  had  shorter  P2  latencies  than  Korean  speakers,  indicating  they  processed  attention-related  aspects  of  the  task  more  quickly  or  efficiently.  Additionally,  bilingual  adults  showed  stronger  N2  responses  during  switching,  indicating  higher  demands  on  inhibitory  control.  Korean  adults,  by  contrast,  showed  smaller  N2  responses,  suggesting  less  inhibitory  effort,  likely  because  they  were  switching  number  systems  within  one  language  rather  than  across  two  languages.Study  2  moved  beyond  simple  parity  judgments  to  examine  more  complex  arithmetic  tasks-addition,  subtraction,  and  multiplication.  Korean  adults  performed  these  tasks  using  two  number  systems  (SK  and  NK),  while  bilingual  adults  used  two  different  languages  (Mandarin  and  English).  For  Korean  adults,  addition  and  subtraction  showed  no  differences  in  reaction  times  between  SK  and  NK.  Interestingly,  multiplication  was  different:  Korean  adults  solved  multiplication  problems  more  slowly  (by  about  14%)  when  using  their  more  familiar  SK  system.  In  contrast,  bilingual  adults  showed  clear  reaction-time  advantages  when  solving  addition  and  subtraction  problems  in  Mandarin,  their  preferred  math  language.  This  suggests  that  arithmetic  retrieval  depends  strongly  on  the  language  in  which  arithmetic  was  initially  learned,  rather  than  just  on  general  numerical  experience  or  familiarity.  However,  multiplication  tasks  showed  no  reaction-time  differences  between  Mandarin  and  English,  suggesting  that  more  complex  arithmetic  might  rely  on  procedural  strategies  that  reduce  language-specific  advantages. Overall,  these  findings  suggest  that  using  two  languages  requires  greater  inhibitory  control  effort,  even  when  behavioral  performance  appears  similar  between  bilinguals  (two  languages)  and  Korean  speakers  (two  number  systems  within  one  language).  For  addition  and  subtraction  tasks-which  mainly  involve  procedural-familiarity  alone  did  not  create  differences in  performance.  Korean  adults  performed  equally  well  using  both  their  familiar  (SK)  and  less  familiar  (NK)  number  systems,  while  bilingual  adults  solved  problems  significantly  faster  in  their  preferred,  first-learned  language  (L1).  For  multiplication,  however,  tasks  depend  more  heavily  on  memorized  facts  and  verbal  memory.  Here,  the  advantages  of  language  familiarity  or  initial  language  learning  faded,  and  both  groups  performed  similarly.
■590    ▼aSchool  code:  0054.
■650  4▼aCognitive  psychology
■650  4▼aEducational  psychology
■650  4▼aNanoscience
■650  4▼aBilingual  education
■650  4▼aEnglish  as  a  second  language
■653    ▼aArithmetic  solving
■653    ▼aBilingualism
■653    ▼aEEG
■653    ▼aN2
■653    ▼aNumerical  cognition
■653    ▼aParity  task
■690    ▼a0633
■690    ▼a0525
■690    ▼a0565
■690    ▼a0282
■690    ▼a0441
■71020▼aColumbia  University▼bTC:  Cognitive  Studies  in  Education.
■7730  ▼tDissertations  Abstracts  International▼g86-12B.
■790    ▼a0054
■791    ▼aPh.D.
■792    ▼a2025
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17357626▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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