scholarly journals Automaticity of Number Processing in Children With Mathematical Difficulties : Distance Effect on a Number Comparison Task

2010 ◽  
Vol 47 (6) ◽  
pp. 443-455
Author(s):  
Masayuki ISHIZUKA ◽  
Shinji OKAZAKI ◽  
Hisao MAEKAWA
2021 ◽  
Author(s):  
Mariagrazia Ranzini ◽  
Carlo Semenza ◽  
Marco Zorzi ◽  
Simone Cutini

Embodied and grounded cognition theories suggest that cognitive processes are built upon sensorimotor systems. In the context of studies on numerical cognition, interactions between number processing and the hand actions of reaching and grasping have been documented in skilled adults, thereby supporting embodied and grounded cognition accounts. The present study made use of the neurophysiological principle of neural adaptation applied to repetitive hand actions to test the hypothesis of a functional overlap between neurocognitive mechanisms of hand action and number processing. Participants performed repetitive grasping of an object, repetitive pointing, repetitive tapping, or passive viewing. Subsequently, they performed a symbolic number comparison task. Importantly, hand action and number comparison were functionally and temporally dissociated, thereby minimizing context-based effects. Results showed that executing the action of pointing slowed down the responses in number comparison. Moreover, the typical distance effect (faster responses for numbers far from the reference as compared to close ones) was not observed for small numbers after pointing, while it was enhanced by grasping. These findings confirm the functional link between hand action and number processing, and suggest new hypotheses on the role of pointing as a meaningful gesture in the development and embodiment of numerical skills.


2020 ◽  
Author(s):  
Julia Huber ◽  
Mojtaba Soltanlou ◽  
Krzysztof Cipora ◽  
Katarzyna Lipowska ◽  
Frank Domahs ◽  
...  

Numerous studies revealed effects of some linguistic properties like inversion or reading/writing direction on number processing. However, it remains more controversial, whether influences at a syntactic level, such as singular vs. plural form associated with certain numbers, can also influence magnitude and place-value processing and vice versa. In this study, we investigated for the first time in a classical two-digit number comparison task whether grammatical number also affects magnitude and place-value processing (and vice versa). To do so, we used a peculiarity of the Polish language, where the inflection of a verb depends on the unit digit of a number (singular for 25-29, 35-39, etc. and plural for 22-24, 32-34, etc.). This systematic pattern allows the manipulation of congruency between grammatical number and magnitude information, both on an item and a response level (i.e., the grammatical number is either compatible or incompatible to the magnitude information or the response side). We observed no significant interference effects, neither between grammatical number (i.e., associated singular/ plural inflection of the number) and magnitude information, nor between grammatical number and the response side. Model comparisons revealed that models without grammatical number, could explain our data best. Hence, grammatical number did not contribute to the explanation of the data beyond unit-decade compatibility, distance effect and SNARC effect and, thus, seems to be negligible in two-digit number comparison. Task characteristics, which might contribute to this finding are discussed.


2010 ◽  
Vol 22 (5) ◽  
pp. 860-874 ◽  
Author(s):  
Christophe Mussolin ◽  
Anne De Volder ◽  
Cécile Grandin ◽  
Xavier Schlögel ◽  
Marie-Cécile Nassogne ◽  
...  

Developmental dyscalculia (DD) is a deficit in number processing and arithmetic that affects 3–6% of schoolchildren. The goal of the present study was to analyze cerebral bases of DD related to symbolic number processing. Children with DD aged 9–11 years and matched children with no learning disability history were investigated using fMRI. The two groups of children were controlled for general cognitive factors, such as working memory, reading abilities, or IQ. Brain activations were measured during a number comparison task on pairs of Arabic numerals and a color comparison task on pairs of nonnumerical symbols. In each task, pairs of stimuli that were close or far on the relevant dimension were constituted. Brain activation in bilateral intraparietal sulcus (IPS) was modulated by numerical distance in controls but not in children with DD. Moreover, although the right IPS responded to numerical distance only, the left IPS was influenced by both numerical and color distances in control children. Our findings suggest that dyscalculia is associated with impairment in areas involved in number magnitude processing and, to a lesser extent, in areas dedicated to domain-general magnitude processing.


2020 ◽  
Author(s):  
Julia Bahnmueller ◽  
Krzysztof Cipora ◽  
Silke Melanie Goebel ◽  
Hans-Christoph Nuerk ◽  
Mojtaba Soltanlou

The symbolic number comparison task has been widely used to investigate the cognitive representation and underlying processes of multi-digit number processing. The standard procedure to establish numerical distance and compatibility effects in such number comparison paradigms usually entails asking participants to indicate the larger of two presented multi-digit Arabic numbers rather than to indicate the smaller number. In terms of linguistic markedness, this procedure includes the unmarked/base form in the task instruction (i.e., large). Here we evaluate distance and compatibility effects in a three-digit number comparison task observed in Bahnmueller et al. (2015) using a marked task instruction (i.e., ‘pick the smaller number’). Moreover, we aimed at clarifying whether the markedness of task instruction influences common numerical effects and especially componential processing as indexed by compatibility effects. We instructed German- and English-speaking adults (N=52) to indicate the smaller number in a three-digit number comparison task as opposed to indicating the larger number in Bahnmueller et al. (2015). We replicated standard effects of distance and compatibility in the new pick the smaller number experiment. Moreover, when comparing our findings to Bahnmueller et al. (2015), numerical effects did not differ significantly between the two studies as indicated by both frequentist and Bayesian analysis. Taken together our data suggest that distance and compatibility effects alongside componential processing of multi-digit numbers are rather robust against variations of linguistic markedness of task instructions.


2021 ◽  
Author(s):  
Arianna Felisatti ◽  
Mariagrazia Ranzini ◽  
Elvio Blini ◽  
Matteo Lisi ◽  
Marco Zorzi

Previous studies suggest that associations between numbers and space are mediated by shifts of visuospatial attention along the horizontal axis. In this study, we investigated the effect of vertical shifts of overt attention, induced by optokinetic stimulation (OKS) and monitored through eye-tracking, in two tasks requiring explicit (number comparison) or implicit (parity judgment) processing of number magnitude. Participants were exposed to black-and-white stripes (OKS) that moved vertically (upward or downward) or remained static (control condition). During the OKS, participants were asked to verbally classify auditory one-digit numbers as larger/smaller than 5 (comparison task; Exp. 1) or as odd/even (parity task; Exp. 2). OKS modulated response times in both experiments. In Exp.1, downward attentional displacement increased the Magnitude effect (slower responses for large numbers) and reduced the Distance effect (slower responses for numbers close to the reference). In Exp.2, we observed a parity by magnitude interaction that was amplified by downward OKS. Moreover, eye tracking analyses revealed an influence of number processing on eye movements both in Exp. 1, with eye gaze shifting downwards during the processing of numbers 1-2 as compared to 8-9; and in Exp. 2, with leftward shifts after large even numbers (6,8) and rightward shifts after large odd numbers (7,9). These results provide evidence of bidirectional links between number and space and extend them to the vertical dimension. Moreover, they document the influence of visuo-spatial attention on processing of numerical magnitude, numerical distance and parity. Together, our findings are in line with grounded and embodied accounts of numerical cognition.


2021 ◽  
Vol 7 (3) ◽  
pp. 295-307 ◽  
Author(s):  
Julia Bahnmueller ◽  
Krzysztof Cipora ◽  
Silke Melanie Göbel ◽  
Hans-Christoph Nuerk ◽  
Mojtaba Soltanlou

The symbolic number comparison task has been widely used to investigate the cognitive representation and underlying processes of multi-digit number processing. The standard procedure to establish numerical distance and compatibility effects in such number comparison paradigms usually entails asking participants to indicate the larger of two presented multi-digit Arabic numbers rather than to indicate the smaller number. In terms of linguistic markedness, this procedure includes the unmarked/base form in the task instruction (i.e., large). Here we evaluate distance and compatibility effects in a three-digit number comparison task observed in Bahnmueller et al. (2015, https://doi.org/10.3389/fpsyg.2015.01216) using a marked task instruction (i.e., ‘pick the smaller number’). Moreover, we aimed at clarifying whether the markedness of task instruction influences common numerical effects and especially componential processing as indexed by compatibility effects. We instructed German- and English-speaking adults (N = 52) to indicate the smaller number in a three-digit number comparison task as opposed to indicating the larger number in Bahnmueller et al. (2015). We replicated standard effects of distance and compatibility in the new pick the smaller number experiment. Moreover, when comparing our findings to Bahnmueller et al. (2015), numerical effects did not differ significantly between the two studies as indicated by both frequentist and Bayesian analysis. Taken together our data suggest that distance and compatibility effects alongside componential processing of multi-digit numbers are rather robust against variations of linguistic markedness of task instructions.


2009 ◽  
Vol 65 ◽  
pp. S238
Author(s):  
Yousuke Ogata ◽  
Takahiro Horaguchi ◽  
Noriya Watanabe ◽  
Takeshi Aikawa ◽  
Miyuki Yamamoto

2006 ◽  
Vol 18 (9) ◽  
pp. 1518-1530 ◽  
Author(s):  
Xun Liu ◽  
Hongbin Wang ◽  
Christine R. Corbly ◽  
Jiajie Zhang ◽  
Jane E. Joseph

The neural mechanism of number representation and processing is currently under extensive investigation. In this functional magnetic resonance imaging study, we designed a number comparison task to examine how people represent and compare two-digit numbers in the brain, and whether they process the decade and unit digits in parallel. We manipulated the decade-unit-digit congruency and numerical distance between the pairs of numbers. We observed both Stroop-like interference and the distance effect in the participants' performance. People responded more slowly to incongruent pairs of numbers and pairs of a smaller distance. The inferior parietal cortex showed common and distinct patterns of activation for both attentional selection and number comparison processes, and its activity was modulated by the Stroop-like interference effect and the distance effect. Taken together, these results support both parallel and holistic comparison of two-digit numbers in the brain.


PLoS ONE ◽  
2011 ◽  
Vol 6 (6) ◽  
pp. e21716 ◽  
Author(s):  
Yousuke Ogata ◽  
Takahiro Horaguchi ◽  
Noriya Watanabe ◽  
Miyuki Yamamoto

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