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Learning number notations – Comparison of a sign-value and place-value system

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posted on 2025-09-23, 15:50 authored by Hanna WeiersHanna Weiers, Camilla GilmoreCamilla Gilmore, Matthew InglisMatthew Inglis
<p dir="ltr">Although numbers are universal, there are great differences between languages and cultures in terms of how they are represented. Numerical notation can influence number processing. Two well-known types of notational systems are sign-value, such as the Roman numeral system, and place-value systems, such as the Indo-Arabic numeral system. What is involved in learning each system? Here we report a study that investigated adults’ abilities to implicitly learn an artificially created sign-value or place-value system. We asked if they could perform symbolic comparison and ordering tasks using the novel symbol system. We found adults could learn the ordinal meaning of symbols within either system and were able to extend the system to symbols not encountered during training. There was a relative advantage of the sign-value system over the place-value system for expressions encountered during the training, but also for expressions that had not previously been encountered. These results shed light on how easily the structure of place-value and sign-value systems can be learned.</p>

Funding

Centre for Early Mathematics Learning

Economic and Social Research Council

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The Royal Society [# RGF/EA/180254]

History

School

  • Science

Department

  • Mathematics Education

Published in

Journal of Numerical Cognition (JNC)

Volume

11

Issue

2025

Publisher

PsychOpen

Version

  • VoR (Version of Record)

Rights holder

© The Author(s)

Publisher statement

This work is licensed under a Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0/).

Acceptance date

2024-12-06

Publication date

2025-03-14

Copyright date

2025

eISSN

2363-8761

Language

  • en

Depositor

Prof Camilla Gilmore. Deposit date: 19 December 2024

Article number

e13401

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