Literature DB >> 25068853

Toward a model framework of generalized parallel componential processing of multi-symbol numbers.

Stefan Huber1, Sonja Cornelsen2, Korbinian Moeller1, Hans-Christoph Nuerk3.   

Abstract

In this article, we propose and evaluate a new model framework of parallel componential multi-symbol number processing, generalizing the idea of parallel componential processing of multi-digit numbers to the case of negative numbers by considering the polarity signs similar to single digits. In a first step, we evaluated this account by defining and investigating a sign-decade compatibility effect for the comparison of positive and negative numbers, which extends the unit-decade compatibility effect in 2-digit number processing. Then, we evaluated whether the model is capable of accounting for previous findings in negative number processing. In a magnitude comparison task, in which participants had to single out the larger of 2 integers, we observed a reliable sign-decade compatibility effect with prolonged reaction times for incompatible (e.g., -97 vs. +53; in which the number with the larger decade digit has the smaller, i.e., negative polarity sign) as compared with sign-decade compatible number pairs (e.g., -53 vs. +97). Moreover, an analysis of participants' eye fixation behavior corroborated our model of parallel componential processing of multi-symbol numbers. These results are discussed in light of concurrent theoretical notions about negative number processing. On the basis of the present results, we propose a generalized integrated model framework of parallel componential multi-symbol processing. (c) 2015 APA, all rights reserved).

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Year:  2014        PMID: 25068853     DOI: 10.1037/xlm0000043

Source DB:  PubMed          Journal:  J Exp Psychol Learn Mem Cogn        ISSN: 0278-7393            Impact factor:   3.051


  10 in total

1.  Processing multi-digit numbers: a translingual eye-tracking study.

Authors:  Julia Bahnmueller; Stefan Huber; Hans-Christoph Nuerk; Silke M Göbel; Korbinian Moeller
Journal:  Psychol Res       Date:  2015-12-15

Review 2.  Insights into numerical cognition: considering eye-fixations in number processing and arithmetic.

Authors:  J Mock; S Huber; E Klein; K Moeller
Journal:  Psychol Res       Date:  2016-02-04

3.  Testing a model of componential processing of multi-symbol numbers-evidence from measurement units.

Authors:  Stefan Huber; Julia Bahnmueller; Elise Klein; Korbinian Moeller
Journal:  Psychon Bull Rev       Date:  2015-10

4.  The processing of price comparison is not holistic but componential.

Authors:  Pedro Macizo; Fernando Ojedo
Journal:  Psychol Res       Date:  2017-06-24

5.  No power: exponential expressions are not processed automatically as such.

Authors:  Ami Feder; Mariya Lozin; Michal Pinhas
Journal:  Psychol Res       Date:  2020-07-23

6.  Tracking practice effects in computation estimation.

Authors:  Dana Ganor-Stern; Nilly Weiss
Journal:  Psychol Res       Date:  2015-11-09

7.  Cognitive control in number processing: new evidence from number compatibility effects in task-switching.

Authors:  A Schliephake; J Bahnmueller; K Willmes; I Koch; K Moeller
Journal:  Cogn Process       Date:  2022-02-08

8.  Bringing Back the Balance: Domain-General Processes Are Also Important in Numerical Cognition.

Authors:  Mateusz Hohol; Krzysztof Cipora; Klaus Willmes; Hans-Christoph Nuerk
Journal:  Front Psychol       Date:  2017-03-30

9.  Commentary: The mental representation of integers: An abstract-to-concrete shift in the understanding of mathematical concepts.

Authors:  Melinda A Mende; Samuel Shaki; Martin H Fischer
Journal:  Front Psychol       Date:  2018-02-27

10.  Length is not all that matters: testing the role of number identity and the ratio of fillers in comparisons of multi-digits with different digit length.

Authors:  Javier García-Orza; Ismael Gutiérrez-Cordero; Carlos Larios; Anikó Csilinkó; Juan Antonio Álvarez-Montesinos
Journal:  Psychol Res       Date:  2022-02-18
  10 in total

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