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Linear Mapping of Numbers onto Space Requires Attention

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Title: Linear Mapping of Numbers onto Space Requires Attention
Language: English
Authors: Anobile, Giovanni, Cicchini, Guido Marco, Burr, David C.
Source: Cognition. Mar 2012 122(3):454-459.
Availability: Elsevier. 6277 Sea Harbor Drive, Orlando, FL 32887-4800. Tel: 877-839-7126; Tel: 407-345-4020; Fax: 407-363-1354; e-mail: usjcs@elsevier.com; Web site: http://www.elsevier.com
Peer Reviewed: Y
Physical Description: PDF
Page Count: 6
Publication Date: 2012
Document Type: Journal Articles
Reports - Research
Education Level: Preschool Education
Descriptors: Reading Achievement, Numbers, Bayesian Statistics, Preschool Children, Models, Learning Disabilities, Measurement, Adults, Training, Mathematics
DOI: 10.1016/j.cognition.2011.11.006
ISSN: 0010-0277
Abstract: Mapping of number onto space is fundamental to mathematics and measurement. Previous research suggests that while typical adults with mathematical schooling map numbers veridically onto a linear scale, pre-school children and adults without formal mathematics training, as well as individuals with dyscalculia, show strong compressive, logarithmic-like non-linearities when mapping both symbolic and non-symbolic numbers onto the numberline. Here we show that the use of the linear scale is dependent on attentional resources. We asked typical adults to position clouds of dots on a numberline of various lengths. In agreement with previous research, they did so veridically under normal conditions, but when asked to perform a concurrent attentionally-demanding conjunction task, the mapping followed a compressive, non-linear function. We model the non-linearity both by the commonly assumed logarithmic transform, and also with a Bayesian model of central tendency. These results suggest that veridical representation numerosity requires attentional mechanisms. (Contains 3 figures.)
Abstractor: As Provided
Entry Date: 2012
Accession Number: EJ953951
Database: ERIC
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  Data: Mapping of number onto space is fundamental to mathematics and measurement. Previous research suggests that while typical adults with mathematical schooling map numbers veridically onto a linear scale, pre-school children and adults without formal mathematics training, as well as individuals with dyscalculia, show strong compressive, logarithmic-like non-linearities when mapping both symbolic and non-symbolic numbers onto the numberline. Here we show that the use of the linear scale is dependent on attentional resources. We asked typical adults to position clouds of dots on a numberline of various lengths. In agreement with previous research, they did so veridically under normal conditions, but when asked to perform a concurrent attentionally-demanding conjunction task, the mapping followed a compressive, non-linear function. We model the non-linearity both by the commonly assumed logarithmic transform, and also with a Bayesian model of central tendency. These results suggest that veridical representation numerosity requires attentional mechanisms. (Contains 3 figures.)
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