scholarly journals Numerical Magnitude Affects Accuracy but Not Precision of Temporal Judgments

2021 ◽  
Vol 14 ◽  
Author(s):  
Anuj Shukla ◽  
Raju S. Bapi
Keyword(s):  
Temporal Discrimination ◽  
Processing System ◽  
Duration Discrimination ◽  
Numerical Magnitude ◽  
Temporal Precision ◽  
Common System ◽  
Magnitude Processing ◽  
Numerical Magnitudes ◽  
Task Irrelevant ◽  
Weber Ratio

A Theory of Magnitude (ATOM) suggests that space, time, and quantities are processed through a generalized magnitude system. ATOM posits that task-irrelevant magnitudes interfere with the processing of task-relevant magnitudes as all the magnitudes are processed by a common system. Many behavioral and neuroimaging studies have found support in favor of a common magnitude processing system. However, it is largely unknown whether such cross-domain monotonic mapping arises from a change in the accuracy of the magnitude judgments or results from changes in precision of the processing of magnitude. Therefore, in the present study, we examined whether large numerical magnitude affects temporal accuracy or temporal precision, or both. In other words, whether numerical magnitudes change our temporal experience or simply bias duration judgments. The temporal discrimination (between comparison and standard duration) paradigm was used to present numerical magnitudes (“1,” “5,” and “9”) across varied durations. We estimated temporal accuracy (PSE) and precision (Weber ratio) for each numerical magnitude. The results revealed that temporal accuracy (PSE) for large (9) numerical magnitude was significantly lower than that of small (1) and identical (5) magnitudes. This implies that the temporal duration was overestimated for large (9) numerical magnitude compared to small (1) and identical (5) numerical magnitude, in line with ATOM’s prediction. However, no influence of numerical magnitude was observed on temporal precision (Weber ratio). The findings of the present study suggest that task-irrelevant numerical magnitude selectively affects the accuracy of processing of duration but not duration discrimination itself. Further, we argue that numerical magnitude may not directly affect temporal processing but could influence via attentional mechanisms.

Developmental Dyscalculia in Adults: Beyond Numerical Magnitude Impairment

2017 ◽  
Vol 51 (6) ◽  
pp. 600-611 ◽  
Author(s):  
Alice De Visscher ◽  
Marie-Pascale Noël ◽  
Mauro Pesenti ◽  
Valérie Dormal
Keyword(s):  
Mental Representation ◽  
Healthy Adults ◽  
Numerical Magnitude ◽  
Developmental Dyscalculia ◽  
Common System ◽  
The Core ◽  
Magnitude Processing ◽  
Core Deficit ◽  
Face Categorization ◽  
Numerical Magnitudes

Numerous studies have tried to identify the core deficit of developmental dyscalculia (DD), mainly by assessing a possible deficit of the mental representation of numerical magnitude. Research in healthy adults has shown that numerosity, duration, and space share a partly common system of magnitude processing and representation. However, in DD, numerosity processing has until now received much more attention than the processing of other non-numerical magnitudes. To assess whether or not the processing of non-numerical magnitudes is impaired in DD, the performance of 15 adults with DD and 15 control participants was compared in four categorization tasks using numerosities, lengths, durations, and faces (as non-magnitude-based control stimuli). Results showed that adults with DD were impaired in processing numerosity and duration, while their performance in length and face categorization did not differ from controls’ performance. Our findings support the idea of a nonsymbolic magnitude deficit in DD, affecting numerosity and duration processing but not length processing.

scholarly journals Attention mediates the influence of numerical magnitude on temporal processing

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Anuj Shukla ◽  
Raju S. Bapi
Keyword(s):  
Temporal Processing ◽  
Processing System ◽  
Human Cognition ◽  
Numerical Magnitude ◽  
Comparison Task ◽  
Domain Interaction ◽  
Domain Specific ◽  
Magnitude Processing ◽  
Cross Domain ◽  
Numerical Magnitudes

AbstractThe processing of time and numbers has been fundamental to human cognition. One of the prominent theories of magnitude processing, a theory of magnitude (ATOM), suggests that a generalized magnitude system processes space, time, and numbers; thereby, the magnitude dimensions could potentially interact with one another. However, more recent studies have found support for domain-specific magnitude processing and argued that the magnitudes related to time and number are processed through distinct mechanisms. Such mixed findings have raised questions about whether these magnitudes are processed independently or share a common processing mechanism. In the present study, we examine the influence of numerical magnitude on temporal processing. To investigate, we conducted two experiments using a temporal comparison task, wherein we presented positive and negative numerical magnitudes (large and small) in a blocked (Experiment-1) and intermixed manner (Experiment-2). Results from experiment-1 suggest that numerical magnitude affects temporal processing only in positive numbers but not for negative numbers. Further, results from experiment-2 indicate that the polarity (positive and negative) of the numbers influences temporal processing instead of the numerical magnitude itself. Overall, the current study seems to suggest that cross-domain interaction of magnitudes arises from attentional mechanisms and may not need to posit a common magnitude processing system.

scholarly journals Imaging Informational Conflict: A Functional Magnetic Resonance Imaging Study of Numerical Stroop

2006 ◽  
Vol 18 (12) ◽  
pp. 2049-2062 ◽  
Author(s):  
J. Tang ◽  
H. D. Critchley ◽  
D. E. Glaser ◽  
R. J. Dolan ◽  
B. Butterworth
Keyword(s):  
Imaging Study ◽  
Distance Effect ◽  
Irrelevant Information ◽  
Numerical Magnitude ◽  
Neural Basis ◽  
Neural Fate ◽  
Numerical Magnitudes ◽  
Informational Conflict ◽  
Task Irrelevant ◽  
Theoretical Issues

We employed a parametric version of the comparison Stroop paradigm to investigate the processing of numerical magnitude and physical size under task-relevant and -irrelevant conditions to investigate two theoretical issues: (1) What is the neural fate of task-irrelevant information? (2) What is the neural basis of the resolution of the conflict between task-relevant and -irrelevant information? We show in 18 healthy adults that numerical magnitudes of numbers call for higher processing requirements than physical sizes. The enhanced activation elicited by numerical magnitudes is not modulated by task relevance, indicating autonomous processing. Moreover, the normal behavioral distance effect when the numerical dimension is task relevant and reversed distance effect when it is not show that autonomous processing fully encodes numerical magnitudes. Conflict trials elicited greater activation in bilateral inferior frontal gyri, right middle frontal gyri, and right superior frontal gyri. We postulate two sources to the conflict, namely, at cognitive and response levels.

scholarly journals Symbols are special: An fMRI adaptation study of symbolic, nonsymbolic and non-numerical magnitude processing in the human brain

2019 ◽  
Author(s):  
H Moriah Sokolowski ◽  
Zachary Hawes ◽  
Lien Peters ◽  
Daniel Ansari
Keyword(s):  
Human Brain ◽  
Processing System ◽  
Number Processing ◽  
Numerical Magnitude ◽  
Physical Size ◽  
Parietal Lobes ◽  
Magnitude Processing ◽  
The Right ◽  
Fmri Adaptation ◽  
Symbolic Number

Humans have the unique ability to represent and manipulate symbols. It is widely believed that this ability is rooted in an evolutionarily ancient system used to process nonsymbolic quantities in the human brain. In the current study, we used an fMRI adaptation paradigm to isolate the representations of symbols, quantities, and physical size in forty-five human adults. Results indicate that the neural correlates supporting symbolic number processing are entirely distinct from those supporting nonsymbolic magnitude processing. At the univariate level, symbolic number processing is associated with activation in the left inferior parietal lobule, whereas the processing of nonsymbolic magnitudes (both quantity and physical size), relates to activation in the right intraparietal sulcus. At the multivariate level, normalized patterns of activation for symbolic number processing exhibit a dissimilar pattern of activation compared to nonsymbolic magnitude processing in both the left and right parietal lobes. Additionally, the patterns of activation that associate with quantity and physical size are practically indistinguishable from one another. These findings challenge the longstanding belief that the culturally acquired ability to conceptualize symbolic numbers is rooted in an evolutionarily ancient system for nonsymbolic magnitude processing. Moreover, these data reveal that the system used to process nonsymbolic numbers may actually be a general magnitude processing system used to process numerical and non-numerical magnitudes. These findings highlight the need for the field to shift away from exploring how symbols are grounded in analog nonsymbolic representations, and toward more complex questions related to the neural consequences of learning symbolic numbers.

Asymmetric Processing of Numerical and Nonnumerical Magnitudes in the Brain: An fMRI Study

2016 ◽  
Vol 28 (1) ◽  
pp. 166-176 ◽  
Author(s):  
Tali Leibovich ◽  
Stephan E. Vogel ◽  
Avishai Henik ◽  
Daniel Ansari
Keyword(s):  
Numerical Magnitude ◽  
Comparison Task ◽  
Brain Areas ◽  
Surface Areas ◽  
Fmri Study ◽  
Numerical Magnitudes ◽  
The Right ◽  
Task Irrelevant ◽  
The Brain

It is well established that, when comparing nonsymbolic magnitudes (e.g., dot arrays), adults can use both numerical (i.e., the number of items) and nonnumerical (density, total surface areas, etc.) magnitudes. It is less clear which of these magnitudes is more salient or processed more automatically. In this fMRI study, we used a nonsymbolic comparison task to ask if different brain areas are responsible for the automatic processing of numerical and nonnumerical magnitudes, when participants were instructed to attend to either the numerical or the nonnumerical magnitudes of the same stimuli. An interaction of task (numerical vs. nonnumerical) and congruity (congruent vs. incongruent) was found in the right TPJ. Specifically, this brain region was more strongly activated during numerical processing when the nonnumerical magnitudes were negatively correlated with numerosity (incongruent trials). In contrast, such an interference effect was not evident during nonnumerical processing when the task-irrelevant numerical magnitude was incongruent. In view of the role of the right TPJ in the control of stimulus-driven attention, we argue that these data demonstrate that the processing of nonnumerical magnitudes is more automatic than that of numerical magnitudes and that, therefore, the influence of numerical and nonnumerical variables on each other is asymmetrical.

scholarly journals Symbolic Numerical Magnitude Processing Is as Important to Arithmetic as Phonological Awareness Is to Reading

PLoS ONE ◽  
2016 ◽  
Vol 11 (3) ◽  
pp. e0151045 ◽  
Author(s):  
Kiran Vanbinst ◽  
Daniel Ansari ◽  
Pol Ghesquière ◽  
Bert De Smedt
Keyword(s):  
Phonological Awareness ◽  
Numerical Magnitude ◽  
Magnitude Processing

Multimodal Integration of Time

2014 ◽  
Vol 61 (4) ◽  
pp. 310-322 ◽  
Author(s):  
Karin M. Bausenhart ◽  
Maria Dolores de la Rosa ◽  
Rolf Ulrich
Keyword(s):  
Duration Discrimination ◽  
Audiovisual Integration ◽  
Attention Allocation ◽  
Multimodal Integration ◽  
Perceptual Sensitivity ◽  
Duration Information ◽  
Task Irrelevant ◽  
Duration Discrimination Task ◽  
Temporal Judgments ◽  
Perceived Duration

Recent studies suggest that the accuracy of duration discrimination for visually presented intervals is strongly impaired by concurrently presented auditory intervals of different duration, but not vice versa. Because these studies rely mostly on accuracy measures, it remains unclear whether this impairment results from changes in perceived duration or rather from a decrease in perceptual sensitivity. We therefore assessed complete psychometric functions in a duration discrimination task to disentangle effects on perceived duration and sensitivity. Specifically, participants compared two empty intervals marked by either visual or auditory pulses. These pulses were either presented unimodally, or accompanied by task-irrelevant pulses in the respective other modality, which defined conflicting intervals of identical, shorter, or longer duration. Participants were instructed to base their temporal judgments solely on the task-relevant modality. Despite this instruction, perceived duration was clearly biased toward the duration of the intervals marked in the task-irrelevant modality. This was not only found for the discrimination of visual intervals, but also, to a lesser extent, for the discrimination of auditory intervals. Discrimination sensitivity, however, was similar between all multimodal conditions, and only improved compared to the presentation of unimodal visual intervals. In a second experiment, evidence for multisensory integration was even found when the task-irrelevant modality did not contain any duration information, thus excluding noncompliant attention allocation as a basis of our results. Our results thus suggest that audiovisual integration of temporally discrepant signals does not impair discrimination sensitivity but rather alters perceived duration, presumably by means of a temporal ventriloquism effect.

Counteracting Implicit Conflicts by Electrical Inhibition of the Prefrontal Cortex

2016 ◽  
Vol 28 (11) ◽  
pp. 1737-1748 ◽  
Author(s):  
Philipp Alexander Schroeder ◽  
Roland Pfister ◽  
Wilfried Kunde ◽  
Hans-Christoph Nuerk ◽  
Christian Plewnia
Keyword(s):  
Working Memory ◽  
Direct Current ◽  
Transcranial Direct Current Stimulation ◽  
Number Line ◽  
Irrelevant Information ◽  
Snarc Effect ◽  
Direct Current Stimulation ◽  
Magnitude Processing ◽  
Automatic Activation ◽  
Task Irrelevant

Cognitive conflicts and distractions by task-irrelevant information often counteract effective and goal-directed behaviors. In some cases, conflicting information can even emerge implicitly, without an overt distractor, by the automatic activation of mental representations. For instance, during number processing, magnitude information automatically elicits spatial associations resembling a mental number line. This spatial–numerical association of response codes (SNARC) effect can modulate cognitive-behavioral performance but is also highly flexible and context-dependent, which points toward a critical involvement of working memory functions. Transcranial direct current stimulation to the PFC, in turn, has been effective in modulating working memory-related cognitive performance. In a series of experiments, we here demonstrate that decreasing activity of the left PFC by cathodal transcranial direct current stimulation consistently and specifically eliminates implicit cognitive conflicts based on the SNARC effect, but explicit conflicts based on visuospatial distraction remain unaffected. This dissociation is polarity-specific and appears unrelated to functional magnitude processing as classified by regular numerical distance effects. These data demonstrate a causal involvement of the left PFC in implicit cognitive conflicts based on the automatic activation of spatial–numerical processing. Corroborating the critical interaction of brain stimulation and neurocognitive functions, our findings suggest that distraction from goal-directed behavior by automatic activation of implicit, task-irrelevant information can be blocked by the inhibition of prefrontal activity.

scholarly journals Numerical Magnitude Processing in Deaf Adolescents and Its Contribution to Arithmetical Ability

2021 ◽  
Vol 12 ◽  
Author(s):  
Lilan Chen ◽  
Yan Wang ◽  
Hongbo Wen
Keyword(s):  
Hearing Loss ◽  
Cognitive Abilities ◽  
Close Association ◽  
Form Perception ◽  
Numerical Magnitude ◽  
Congenital Deafness ◽  
Mathematical Performance ◽  
Magnitude Processing ◽  
Arithmetic Computation ◽  
Visual Form Perception

Although most deaf individuals could use sign language or sign/spoken language mix, hearing loss would still affect their language acquisition. Compensatory plasticity holds that the lack of auditory stimulation experienced by deaf individuals, such as congenital deafness, can be met by enhancements in visual cognition. And the studies of hearing individuals have showed that visual form perception is the cognitive mechanism that could explain the association between numerical magnitude processing and arithmetic computation. Therefore, we examined numerical magnitude processing and its contribution to arithmetical ability in deaf adolescents, and explored the differences between the congenital and acquired deafness. 112 deaf adolescents (58 congenital deafness) and 58 hearing adolescents performed a series of cognitive and mathematical tests, and it was found there was no significant differences between the congenital group and the hearing group, but congenital group outperformed acquired group in numerical magnitude processing (reaction time) and arithmetic computation. It was also found there was a close association between numerical magnitude processing and arithmetic computation in all deaf adolescents, and after controlling for the demographic variables (age, gender, onset of hearing loss) and general cognitive abilities (non-verbal IQ, processing speed, reading comprehension), numerical magnitude processing could predict arithmetic computation in all deaf adolescents but not in congenital group. The role of numerical magnitude processing (symbolic and non-symbolic) in deaf adolescents' mathematical performance should be paid attention in the training of arithmetical ability.

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