Literature DB >> 17159143

Sometimes area counts more than number.

Felicia Hurewitz1, Rochel Gelman, Brian Schnitzer.   

Abstract

Using an interference paradigm, we show across three experiments that adults' order judgments of numbers, sizes, or combined area of dots in pairs of arrays occur spontaneously and automatically, but at different speeds and levels of accuracy. Experiment 1 used circles whose sizes varied between but not within arrays. Variation in circle size interfered with judgments of which array had more circles. Experiment 2 used displays in which circle size varied within and between arrays. Between-array differences in the amount of "circle stuff" (area occupied by circles) interfered with judgments of number. Experiment 3 examined whether variation in number also interferes with judgments of area. Interference between discrete and continuous stimulus dimensions occurred in both directions, although it was stronger from the continuous to the discrete than vice versa. These results bear on interpretations of studies with infants and preschoolers wherein subjects respond on the basis of continuous quantity rather than discrete quantity. In light of our results with adults, these findings do not license the conclusion that young children cannot represent discrete quantity. Absent data on attentional hierarchies and speed of processing, it is premature to conclude that infant and child quantity processes are fundamentally different from that of adults.

Entities:  

Mesh:

Year:  2006        PMID: 17159143      PMCID: PMC1748271          DOI: 10.1073/pnas.0609485103

Source DB:  PubMed          Journal:  Proc Natl Acad Sci U S A        ISSN: 0027-8424            Impact factor:   11.205


  32 in total

1.  The development of automaticity in accessing number magnitude.

Authors:  L Girelli; D Lucangeli; B Butterworth
Journal:  J Exp Child Psychol       Date:  2000-06

2.  Variability signatures distinguish verbal from nonverbal counting for both large and small numbers.

Authors:  S Cordes; R Gelman; C R Gallistel; J Whalen
Journal:  Psychon Bull Rev       Date:  2001-12

3.  Seeing sets: representation by statistical properties.

Authors:  D Ariely
Journal:  Psychol Sci       Date:  2001-03

4.  Magnitude comparison in preschoolers: what counts? Influence of perceptual variables.

Authors:  Laurence Rousselle; Emmanuelle Palmers; Marie-Pascale Noël
Journal:  J Exp Child Psychol       Date:  2004-01

5.  Baby arithmetic: one object plus one tone.

Authors:  Tessei Kobayashi; Kazuo Hiraki; Ryoko Mugitani; Toshikazu Hasegawa
Journal:  Cognition       Date:  2004-03

6.  Representation of statistical properties.

Authors:  Sang Chul Chong; Anne Treisman
Journal:  Vision Res       Date:  2003-02       Impact factor: 1.886

7.  The Psychophysics Toolbox.

Authors:  D H Brainard
Journal:  Spat Vis       Date:  1997

8.  Time required for judgements of numerical inequality.

Authors:  R S Moyer; T K Landauer
Journal:  Nature       Date:  1967-09-30       Impact factor: 49.962

9.  Detection of intermodal numerical correspondences by human infants.

Authors:  P Starkey; E S Spelke; R Gelman
Journal:  Science       Date:  1983-10-14       Impact factor: 47.728

Review 10.  Varieties of numerical abilities.

Authors:  S Dehaene
Journal:  Cognition       Date:  1992-08
View more
  56 in total

1.  Topology-defined units in numerosity perception.

Authors:  Lixia He; Ke Zhou; Tiangang Zhou; Sheng He; Lin Chen
Journal:  Proc Natl Acad Sci U S A       Date:  2015-09-28       Impact factor: 11.205

2.  Evidence for distinct magnitude systems for symbolic and non-symbolic number.

Authors:  Delphine Sasanguie; Bert De Smedt; Bert Reynvoet
Journal:  Psychol Res       Date:  2015-12-26

3.  An encounter frequency account of how experience affects likelihood estimation.

Authors:  Natalie A Obrecht; Gretchen B Chapman; Rochel Gelman
Journal:  Mem Cognit       Date:  2009-07

Review 4.  The parietal cortex and the representation of time, space, number and other magnitudes.

Authors:  Domenica Bueti; Vincent Walsh
Journal:  Philos Trans R Soc Lond B Biol Sci       Date:  2009-07-12       Impact factor: 6.237

5.  Automatic quantity processing in 5-year olds and adults.

Authors:  Titia Gebuis; Roi Cohen Kadosh; Edward de Haan; Avishai Henik
Journal:  Cogn Process       Date:  2008-07-08

6.  Effects of element features on discrimination of relative numerosity: comparison of search symmetry and asymmetry pairs.

Authors:  Midori Tokita; Akira Ishiguchi
Journal:  Psychol Res       Date:  2008-11-14

7.  Representations of numerical sequences and the concept of middle in preschoolers.

Authors:  Chi-Ngai Cheung; Stella F Lourenco
Journal:  Cogn Process       Date:  2015-05-15

8.  Accumulation of non-numerical evidence during nonsymbolic number processing in the brain: An fMRI study.

Authors:  Tali Leibovich; Daniel Ansari
Journal:  Hum Brain Mapp       Date:  2017-06-28       Impact factor: 5.038

9.  Nonsymbolic number and cumulative area representations contribute shared and unique variance to symbolic math competence.

Authors:  Stella F Lourenco; Justin W Bonny; Edmund P Fernandez; Sonia Rao
Journal:  Proc Natl Acad Sci U S A       Date:  2012-10-22       Impact factor: 11.205

10.  Relationships between magnitude representation, counting and memory in 4- to 7-year-old children: a developmental study.

Authors:  Fruzsina Soltész; Dénes Szucs; Lívia Szucs
Journal:  Behav Brain Funct       Date:  2010-02-18       Impact factor: 3.759

View more

北京卡尤迪生物科技股份有限公司 © 2022-2023.