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Multimedia Battery for Assessment of Cognitive and Basic Skills in Mathematics (BM-PROMA)

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Developmental change in numerical estimation.

Emily B Slusser¹, Rachel T Santiago¹, Hilary C Barth¹

¹Department of Psychology, Wesleyan University.

Journal of Experimental Psychology. General

|May 23, 2012

Summary

This summary is machine-generated.

Children

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Area of Science:

Cognitive Development
Numerical Cognition
Psychology

Background:

The development of numerical magnitude representation is often explained by a "representational shift" theory.
This theory posits a discontinuous change from logarithmic to linear estimation patterns.
An alternative perspective suggests psychophysical modeling of proportion estimation can explain observed data without discontinuous change.

Purpose of the Study:

To compare the explanatory power of the "representational shift" theory versus a proportional estimation account.
To investigate the development of numerical estimation in children aged 5 to 10 years.

Main Methods:

Assessed numerical estimation patterns in children using tasks involving magnitude-to-spatial translation.
Compared model fits of the "logarithmic-to-linear-shift" account and the "proportional estimation" account.
Analyzed data at both group and individual levels across different age groups.

Main Results:

The proportional estimation account provided a better explanation of numerical estimation patterns than the "logarithmic-to-linear-shift" account.
This finding held true for all age groups studied (5- to 10-year-olds).
The proportional account demonstrated superior performance at both group and individual analysis levels.

Conclusions:

The study challenges the "representational shift" theory in numerical development.
Findings support a proportional estimation model for understanding children's numerical representation development.
Results have broader implications for theories of cognitive developmental change.