Article Version of Record

Estimation of importance: Relative contributions of symbolic and non-symbolic number systems to exact and approximate calculation

Author(s) / Creator(s)

Waring, Rylan J.
Penner-Wilger, Marcie

Abstract / Description

The topic of how symbolic and non-symbolic number systems relate to exact calculation skill has received great discussion for a number of years now. However, little research has been done to examine how these systems relate to approximate calculation skill. To address this question, performance on symbolic and non-symbolic numeric ordering tasks was examined as predictors of Woodcock Johnson calculation (exact) and computation estimation (approximate) scores among university adults (N = 85, 61 female, Mean age = 21.3, range = 18-49 years). For Woodcock Johnson calculation scores, only the symbolic task uniquely predicted performance outcomes in a multiple regression. For the computational estimation task, only the non-symbolic task uniquely predicted performance outcomes. Symbolic system performance mediated the relation between non-symbolic system performance and exact calculation skill. Non-symbolic system performance mediated the relation between symbolic system performance and approximate calculation skill. These findings suggest that symbolic and non-symbolic number system acuity uniquely relate to exact and approximate calculation ability respectively.

Keyword(s)

numerical cognition symbolic non-symbolic numeric ordering calculation estimation

Persistent Identifier

Date of first publication

2017-02-10

Journal title

Journal of Numerical Cognition

Volume

2

Issue

3

Page numbers

202–219

Publisher

PsychOpen GOLD

Publication status

publishedVersion

Review status

peerReviewed

Is version of

Citation

Waring, R. J., & Penner-Wilger, M. (2017). Estimation of importance: Relative contributions of symbolic and non-symbolic number systems to exact and approximate calculation. Journal of Numerical Cognition, 2(3), 202–219. https://doi.org/10.5964/jnc.v2i3.9
  • Author(s) / Creator(s)
    Waring, Rylan J.
  • Author(s) / Creator(s)
    Penner-Wilger, Marcie
  • PsychArchives acquisition timestamp
    2018-11-21T11:42:42Z
  • Made available on
    2018-11-21T11:42:42Z
  • Date of first publication
    2017-02-10
  • Abstract / Description
    The topic of how symbolic and non-symbolic number systems relate to exact calculation skill has received great discussion for a number of years now. However, little research has been done to examine how these systems relate to approximate calculation skill. To address this question, performance on symbolic and non-symbolic numeric ordering tasks was examined as predictors of Woodcock Johnson calculation (exact) and computation estimation (approximate) scores among university adults (N = 85, 61 female, Mean age = 21.3, range = 18-49 years). For Woodcock Johnson calculation scores, only the symbolic task uniquely predicted performance outcomes in a multiple regression. For the computational estimation task, only the non-symbolic task uniquely predicted performance outcomes. Symbolic system performance mediated the relation between non-symbolic system performance and exact calculation skill. Non-symbolic system performance mediated the relation between symbolic system performance and approximate calculation skill. These findings suggest that symbolic and non-symbolic number system acuity uniquely relate to exact and approximate calculation ability respectively.
    en_US
  • Publication status
    publishedVersion
  • Review status
    peerReviewed
  • Citation
    Waring, R. J., & Penner-Wilger, M. (2017). Estimation of importance: Relative contributions of symbolic and non-symbolic number systems to exact and approximate calculation. Journal of Numerical Cognition, 2(3), 202–219. https://doi.org/10.5964/jnc.v2i3.9
    en_US
  • ISSN
    2363-8761
  • Persistent Identifier
    https://hdl.handle.net/20.500.12034/1244
  • Persistent Identifier
    https://doi.org/10.23668/psycharchives.1436
  • Language of content
    eng
  • Publisher
    PsychOpen GOLD
  • Is version of
    https://doi.org/10.5964/jnc.v2i3.9
  • Keyword(s)
    numerical cognition
    en_US
  • Keyword(s)
    symbolic
    en_US
  • Keyword(s)
    non-symbolic
    en_US
  • Keyword(s)
    numeric ordering
    en_US
  • Keyword(s)
    calculation
    en_US
  • Keyword(s)
    estimation
    en_US
  • Dewey Decimal Classification number(s)
    150
  • Title
    Estimation of importance: Relative contributions of symbolic and non-symbolic number systems to exact and approximate calculation
    en_US
  • DRO type
    article
  • Issue
    3
  • Journal title
    Journal of Numerical Cognition
  • Page numbers
    202–219
  • Volume
    2
  • Visible tag(s)
    Version of Record