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Making Sense of Number, Bit-by-Bit- [electronic resource]
Making Sense of Number, Bit-by-Bit - [electronic resource]
Making Sense of Number, Bit-by-Bit- [electronic resource]

상세정보

자료유형  
 학위논문파일 국외
최종처리일시  
20240214095909
ISBN  
9798380620611
DDC  
153
저자명  
Cheyette, Samuel J.
서명/저자  
Making Sense of Number, Bit-by-Bit - [electronic resource]
발행사항  
[S.l.]: : University of California, Berkeley., 2021
발행사항  
Ann Arbor : : ProQuest Dissertations & Theses,, 2021
형태사항  
1 online resource(122 p.)
주기사항  
Source: Dissertations Abstracts International, Volume: 85-04, Section: A.
주기사항  
Advisor: Piantadosi, Steven T.
학위논문주기  
Thesis (Ph.D.)--University of California, Berkeley, 2021.
사용제한주기  
This item must not be sold to any third party vendors.
초록/해제  
요약Numerosity perception has been studied for at least 150 years and its psychophysics have been well characterized by experimental work. However, the origins of many of its key properties remain obscure. For instance, people estimate the numerosity of small sets (up to four) much more rapidly and accurately than larger sets; people tend to underestimate larger numerosities; estimation precision and accuracy increase with exposure duration. Standard models of numerical estimation do not account for these wide ranging phenomena, with large number estimation typically characterized as a draw from Gaussian(n, w · n) where w is a person's "Weber fraction," and exact small number perception characterized separately, the result of an independent object-file system. Furthermore, the inherently perceptual nature of estimation is largely ignored in many accounts of individual differences, which are often considered evidence of disparities in innate mathematical cognition. In my dissertation, I present studies of human behavior and computational models aimed at clarifying the visual mechanisms underlying numerical estimation. Our findings help to understand, and unify, key properties of number psychophysics which have previously been explained in terms of independent mechanisms or with ad hoc modifications to existing theories. For instance, we show how the psychophysics of both small and large number estimation can be unified into a single framework with a common mechanistic origin, and in fact how myriad properties of both (including estimation precision, bias, effects of time) can be understood as downstream consequences of bounded-optimal perceptual inference.
일반주제명  
Cognitive psychology.
일반주제명  
Mathematics education.
일반주제명  
Developmental psychology.
키워드  
Cognitive modeling
키워드  
Eye-tracking
키워드  
Information theory
키워드  
Numerical cognition
키워드  
Visual perception
기타저자  
University of California, Berkeley Psychology
기본자료저록  
Dissertations Abstracts International. 85-04A.
기본자료저록  
Dissertation Abstract International
전자적 위치 및 접속  
로그인 후 원문을 볼 수 있습니다.

MARC

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■020    ▼a9798380620611
■035    ▼a(MiAaPQ)AAI28869216
■040    ▼aMiAaPQ▼cMiAaPQ
■0820  ▼a153
■1001  ▼aCheyette,  Samuel  J.
■24510▼aMaking  Sense  of  Number,  Bit-by-Bit▼h[electronic  resource]
■260    ▼a[S.l.]:▼bUniversity  of  California,  Berkeley.  ▼c2021
■260  1▼aAnn  Arbor  :▼bProQuest  Dissertations  &  Theses,  ▼c2021
■300    ▼a1  online  resource(122  p.)
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  85-04,  Section:  A.
■500    ▼aAdvisor:  Piantadosi,  Steven  T.
■5021  ▼aThesis  (Ph.D.)--University  of  California,  Berkeley,  2021.
■506    ▼aThis  item  must  not  be  sold  to  any  third  party  vendors.
■520    ▼aNumerosity  perception  has  been  studied  for  at  least  150  years  and  its  psychophysics  have  been  well  characterized  by  experimental  work.  However,  the  origins  of  many  of  its  key  properties  remain  obscure.  For  instance,  people  estimate  the  numerosity  of  small  sets  (up  to  four)  much  more  rapidly  and  accurately  than  larger  sets;  people  tend  to  underestimate  larger  numerosities;  estimation  precision  and  accuracy  increase  with  exposure  duration.  Standard  models  of  numerical  estimation  do  not  account  for  these  wide  ranging  phenomena,  with  large  number  estimation  typically  characterized  as  a  draw  from  Gaussian(n,  w  ·  n)  where  w  is  a  person's  "Weber  fraction,"  and  exact  small  number  perception  characterized  separately,  the  result  of  an  independent  object-file  system.  Furthermore,  the  inherently  perceptual  nature  of  estimation  is  largely  ignored  in  many  accounts  of  individual  differences,  which  are  often  considered  evidence  of  disparities  in  innate  mathematical  cognition.  In  my  dissertation,  I  present  studies  of  human  behavior  and  computational  models  aimed  at  clarifying  the  visual  mechanisms  underlying  numerical  estimation.  Our  findings  help  to  understand,  and  unify,  key  properties  of  number  psychophysics  which  have  previously  been  explained  in  terms  of  independent  mechanisms  or  with  ad  hoc  modifications  to  existing  theories.  For  instance,  we  show  how  the  psychophysics  of  both  small  and  large  number  estimation  can  be  unified  into  a  single  framework  with  a  common  mechanistic  origin,  and  in  fact  how  myriad  properties  of  both  (including  estimation  precision,  bias,  effects  of  time)  can  be  understood  as  downstream  consequences  of  bounded-optimal  perceptual  inference.
■590    ▼aSchool  code:  0028.
■650  4▼aCognitive  psychology.
■650  4▼aMathematics  education.
■650  4▼aDevelopmental  psychology.
■653    ▼aCognitive  modeling
■653    ▼aEye-tracking
■653    ▼aInformation  theory
■653    ▼aNumerical  cognition
■653    ▼aVisual  perception
■690    ▼a0633
■690    ▼a0620
■690    ▼a0280
■71020▼aUniversity  of  California,  Berkeley▼bPsychology.
■7730  ▼tDissertations  Abstracts  International▼g85-04A.
■773    ▼tDissertation  Abstract  International
■790    ▼a0028
■791    ▼aPh.D.
■792    ▼a2021
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T16931084▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.
■980    ▼a202402▼f2024

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