### Abstract

Simple multiplication facts are thought to be organised in a network structure in which problems and solutions are associated. Converging evidence suggests that the ability for solving symbolic arithmetic problems is based on an approximate number system (ANS). Most theoretical stances concerning the metric underlying the ANS converge on the assumption that the representational overlap between two adjacent numbers increases as the numerical magnitude of the numbers increases. Given a number N, the overlap between N and N+. 1 is larger than the overlap between N and N-. 1. Here, we test whether this asymmetric overlap influences the activation spreading within the multiplication associative network (MAN). When verifying simple multiplication problems such as 8. ×. 4 participants were slower in rejecting false but related outcomes that were larger than the actual outcome (e.g. 8. ×. 4. =. 36) than rejecting smaller related outcomes (e.g. 8. ×. 4. =. 28), despite comparable numerical distance from the correct result (here: 4). This effect was absent for outcomes which are not part of either operands table (e.g., 8. ×. 4. =. 35). These results suggest that the metric of the ANS influences the activation spreading within the MAN, further substantiating the notion that symbolic arithmetic is grounded in the ANS.

Original language | English |
---|---|

Pages (from-to) | 1-8 |

Number of pages | 8 |

Journal | Cognition |

Volume | 141 |

DOIs | |

Publication status | Published - 1 Aug 2015 |

### Fingerprint

### Keywords

- Mental number line
- Multiplication associative network
- Result verification task
- Semantic representation of numerosities
- Symbolic magnitude representation

### ASJC Scopus subject areas

- Linguistics and Language
- Cognitive Neuroscience
- Experimental and Cognitive Psychology
- Language and Linguistics
- Developmental and Educational Psychology

### Cite this

*Cognition*,

*141*, 1-8. https://doi.org/10.1016/j.cognition.2015.04.002

**Asymmetric activation spreading in the multiplication associative network due to asymmetric overlap between numerosities semantic representations?** / Didino, Daniele; Knops, André; Vespignani, Francesco; Kornpetpanee, Suchada.

Research output: Contribution to journal › Article

*Cognition*, vol. 141, pp. 1-8. https://doi.org/10.1016/j.cognition.2015.04.002

}

TY - JOUR

T1 - Asymmetric activation spreading in the multiplication associative network due to asymmetric overlap between numerosities semantic representations?

AU - Didino, Daniele

AU - Knops, André

AU - Vespignani, Francesco

AU - Kornpetpanee, Suchada

PY - 2015/8/1

Y1 - 2015/8/1

N2 - Simple multiplication facts are thought to be organised in a network structure in which problems and solutions are associated. Converging evidence suggests that the ability for solving symbolic arithmetic problems is based on an approximate number system (ANS). Most theoretical stances concerning the metric underlying the ANS converge on the assumption that the representational overlap between two adjacent numbers increases as the numerical magnitude of the numbers increases. Given a number N, the overlap between N and N+. 1 is larger than the overlap between N and N-. 1. Here, we test whether this asymmetric overlap influences the activation spreading within the multiplication associative network (MAN). When verifying simple multiplication problems such as 8. ×. 4 participants were slower in rejecting false but related outcomes that were larger than the actual outcome (e.g. 8. ×. 4. =. 36) than rejecting smaller related outcomes (e.g. 8. ×. 4. =. 28), despite comparable numerical distance from the correct result (here: 4). This effect was absent for outcomes which are not part of either operands table (e.g., 8. ×. 4. =. 35). These results suggest that the metric of the ANS influences the activation spreading within the MAN, further substantiating the notion that symbolic arithmetic is grounded in the ANS.

AB - Simple multiplication facts are thought to be organised in a network structure in which problems and solutions are associated. Converging evidence suggests that the ability for solving symbolic arithmetic problems is based on an approximate number system (ANS). Most theoretical stances concerning the metric underlying the ANS converge on the assumption that the representational overlap between two adjacent numbers increases as the numerical magnitude of the numbers increases. Given a number N, the overlap between N and N+. 1 is larger than the overlap between N and N-. 1. Here, we test whether this asymmetric overlap influences the activation spreading within the multiplication associative network (MAN). When verifying simple multiplication problems such as 8. ×. 4 participants were slower in rejecting false but related outcomes that were larger than the actual outcome (e.g. 8. ×. 4. =. 36) than rejecting smaller related outcomes (e.g. 8. ×. 4. =. 28), despite comparable numerical distance from the correct result (here: 4). This effect was absent for outcomes which are not part of either operands table (e.g., 8. ×. 4. =. 35). These results suggest that the metric of the ANS influences the activation spreading within the MAN, further substantiating the notion that symbolic arithmetic is grounded in the ANS.

KW - Mental number line

KW - Multiplication associative network

KW - Result verification task

KW - Semantic representation of numerosities

KW - Symbolic magnitude representation

UR - http://www.scopus.com/inward/record.url?scp=84928107042&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84928107042&partnerID=8YFLogxK

U2 - 10.1016/j.cognition.2015.04.002

DO - 10.1016/j.cognition.2015.04.002

M3 - Article

VL - 141

SP - 1

EP - 8

JO - Cognition

JF - Cognition

SN - 0010-0277

ER -