scholarly journals Can a Single Representational Object Account for Different Number-Space Mappings?

2021 ◽  
Vol 15 ◽  
Author(s):  
Arnaud Viarouge ◽  
Maria Dolores de Hevia
Keyword(s):  
Significant Interaction ◽  
Spatial Information ◽  
Number Line ◽  
Mental Number Line ◽  
Spatial Extent ◽  
Location Mapping ◽  
Spatial Locations

Numbers are mapped onto space from birth on, as evidenced by a variety of interactions between the processing of numerical and spatial information. In particular, larger numbers are associated to larger spatial extents (number/spatial extent mapping) and to rightward spatial locations (number/location mapping), and smaller numbers are associated to smaller spatial extents and leftward spatial locations. These two main types of number/space mappings (number/spatial extent and number/location mappings) are usually assumed to reflect the fact that numbers are represented on an internal continuum: the mental number line. However, to date there is very little evidence that these two mappings actually reflect a single representational object. Across two experiments in adults, we investigated the interaction between number/location and number/spatial extent congruency effects, both when numbers were presented in a non-symbolic and in a symbolic format. We observed a significant interaction between the two mappings, but only in the context of an implicit numerical task. The results were unaffected by the format of presentation of numbers. We conclude that the number/location and the number/spatial extent mappings can stem from the activation of a single representational object, but only in specific experimental contexts.

Linking Numbers to Space

2014 ◽  
Author(s):  
Jean-Philippe van Dijck ◽  
Véronique Ginsburg ◽  
Luisa Girelli ◽  
Wim Gevers
Keyword(s):  
Current Account ◽  
Mental Representation ◽  
Spatial Information ◽  
Full Range ◽  
Number Line ◽  
Mental Number Line ◽  
Underlying Representation ◽  
Linking Numbers ◽  
Processing Mechanisms ◽  
Neuropsychological Investigations

Several psychophysical and neuropsychological investigations suggest that the processing of number and spatial information is strongly associated. A popular account argues that this association has its origin in the underlying mental representation of numbers taking the form of a horizontally-orientated mental number line, which is isomorphic to the representation of physical lines. Recently, however, several alternative explanations have been put forward. We describe those theories and argue that no current account is on itself able to explain the full range of observations. To do this, a hybrid account is proposed which takes into account the underlying representation, but emphasizes the processing mechanisms required by the task at hand.

scholarly journals The SNARC effect is associated with worse mathematical intelligence and poorer time estimation

2018 ◽  
Vol 5 (8) ◽  
pp. 172362 ◽  
Author(s):  
Peter Kramer ◽  
Paola Bressan ◽  
Massimo Grassi
Keyword(s):  
Spatial Ability ◽  
Mathematical Reasoning ◽  
Time Estimation ◽  
Number Line ◽  
Mental Number Line ◽  
Spatial Extent ◽  
Snarc Effect ◽  
Spatial Skills ◽  
Large Sample ◽  
Within Subjects

Interactions between the ways we process space, numbers and time may arise from shared and innate generic magnitude representations. Alternatively or concurrently, such interactions could be due to the use of physical magnitudes, like spatial extent, as metaphors for more abstract ones, like number and duration. That numbers might be spatially represented along a mental number line is suggested by the SNARC effect: faster left-side responses to small single digits, like 1 or 2, and faster right-side responses to large ones, like 8 or 9. Previously, we found that time estimation predicts mathematical intelligence and speculated that it may predict spatial ability too. Here, addressing this issue, we test—on a relatively large sample of adults and entirely within subjects—the relationships between (a) time: proficiency at producing and evaluating durations shorter than one second, (b) space: the ability to mentally rotate objects, (c) numbers: mathematical reasoning skills, and (d) space–number associations: the SNARC effect. Better time estimation was linked to greater mathematical intelligence and better spatial skills. Strikingly, however, stronger associations between space and numbers predicted worse mathematical intelligence and poorer time estimation.

Moving on Down the (Mental Number) Line

2012 ◽  
Author(s):  
David Landy ◽  
Zachary J. Davis ◽  
Brian M. Guay ◽  
Megan L. Delaunay ◽  
Arthur Charlesworth ◽  
...  
Keyword(s):  
Number Line ◽  
Mental Number Line

EXPRESS: Spatial-numerical associations from a novel paradigm support the Mental Number Line account

2021 ◽  
pp. 174702182110087
Author(s):  
Lauren Aulet ◽  
Sami R Yousif ◽  
Stella Lourenco
Keyword(s):  
Memory Task ◽  
Verbal Working Memory ◽  
Number Line ◽  
Mental Number Line ◽  
Task Demands ◽  
Numerical Magnitude ◽  
The Novel ◽  
Alternative Account ◽  
Subject Design ◽  
Multiple Tasks

Multiple tasks have been used to demonstrate the relation between numbers and space. The classic interpretation of these directional spatial-numerical associations (d-SNAs) is that they are the product of a mental number line (MNL), in which numerical magnitude is intrinsically associated with spatial position. The alternative account is that d-SNAs reflect task demands, such as explicit numerical judgments and/or categorical responses. In the novel ‘Where was The Number?’ task, no explicit numerical judgments were made. Participants were simply required to reproduce the location of a numeral within a rectangular space. Using a between-subject design, we found that numbers, but not letters, biased participants’ responses along the horizontal dimension, such that larger numbers were placed more rightward than smaller numbers, even when participants completed a concurrent verbal working memory task. These findings are consistent with the MNL account, such that numbers specifically are inherently left-to-right oriented in Western participants.

The role of visual experience for spatial numerical associations

2012 ◽  
Vol 25 (0) ◽  
pp. 222 ◽  
Author(s):  
Michael J. Proulx ◽  
Achille Pasqualotto ◽  
Shuichiro Taya
Keyword(s):  
Visual Experience ◽  
Opposite Effect ◽  
Random Number Generation ◽  
Number Line ◽  
Mental Number Line ◽  
Generation Task ◽  
Congenitally Blind ◽  
Left And Right ◽  
The Right

The topographic representation of space interacts with the mental representation of number. Evidence for such number–space relations have been reported in both synaesthetic and non-synaesthetic participants. Thus far most studies have only examined related effects in sighted participants. For example, the mental number line increases in magnitude from left to right in sighted individuals (Loetscher et al., 2008, Curr. Biol.). What is unclear is whether this association arises from innate mechanisms or requires visual experience early in life to develop in this way. Here we investigated the role of visual experience for the left to right spatial numerical association using a random number generation task in congenitally blind, late blind, and blindfolded sighted participants. Participants orally generated numbers randomly whilst turning their head to the left and right. Sighted participants generated smaller numbers when they turned their head to the left than to the right, consistent with past results. In contrast, congenitally blind participants generated smaller numbers when they turned their head to the right than to the left, exhibiting the opposite effect. The results of the late blind participants showed an intermediate profile between that of the sighted and congenitally blind participants. Visual experience early in life is therefore necessary for the development of the spatial numerical association of the mental number line.

scholarly journals Sharing a mental number line across individuals? The role of body position and empathy in joint numerical cognition

2018 ◽  
Vol 72 (7) ◽  
pp. 1732-1740 ◽  
Author(s):  
Matthias Hartmann ◽  
Martin H Fischer ◽  
Fred W Mast
Keyword(s):  
Numerical Cognition ◽  
Body Position ◽  
Random Number Generation ◽  
Number Line ◽  
Mental Number Line ◽  
Response Level ◽  
Spatial Reference ◽  
Mediating Role ◽  
Spatial Reference Frame

A growing body of research shows that the human brain acts differently when performing a task together with another person than when performing the same task alone. In this study, we investigated the influence of a co-actor on numerical cognition using a joint random number generation (RNG) task. We found that participants generated relatively smaller numbers when they were located to the left (vs. right) of a co-actor (Experiment 1), as if the two individuals shared a mental number line and predominantly selected numbers corresponding to their relative body position. Moreover, the mere presence of another person on the left or right side or the processing of numbers from loudspeaker on the left or right side had no influence on the magnitude of generated numbers (Experiment 2), suggesting that a bias in RNG only emerged during interpersonal interactions. Interestingly, the effect of relative body position on RNG was driven by participants with high trait empathic concern towards others, pointing towards a mediating role of feelings of sympathy for joint compatibility effects. Finally, the spatial bias emerged only after the co-actors swapped their spatial position, suggesting that joint spatial representations are constructed only after the spatial reference frame became salient. In contrast to previous studies, our findings cannot be explained by action co-representation because the consecutive production of numbers does not involve conflict at the motor response level. Our results therefore suggest that spatial reference coding, rather than motor mirroring, can determine joint compatibility effects. Our results demonstrate how physical properties of interpersonal situations, such as the relative body position, shape seemingly abstract cognition.

Spatial perspective choice in ASL

2002 ◽  
Vol 5 (1) ◽  
pp. 3-26 ◽  
Author(s):  
Karen Emmorey ◽  
Barbara Tversky
Keyword(s):  
Cognitive Load ◽  
American Sign Language ◽  
Spatial Information ◽  
English Speakers ◽  
Video Monitor ◽  
Spatial Perspective ◽  
Object Locations ◽  
Shared Space ◽  
Spatial Terms ◽  
Spatial Locations

Two studies investigated the ramifications of encoding spatial locations via signing space for perspective choice in American Sign Language. Deaf signers (“speakers”) described the location of one of two identical objects either to a present addressee or to a remote addressee via a video monitor. Unlike what has been found for English speakers, ASL signers did not adopt their addressee’s spatial perspective when describing locations in a jointly viewed present environment; rather, they produced spatial descriptions utilizing shared space in which classifier and deictic signs were articulated at locations in signing space that schematically mapped to both the speaker’s and addressee’s view of object locations within the (imagined) environment. When the speaker and addressee were not jointly viewing the environment, speakers either adopted their addressee’s perspective via referential shift (i.e. locations in signing space were described as if the speaker were the addressee) or speakers expressed locations from their own perspective by describing locations from their view of a map of the environment and the addressee’s position within that environment. The results highlight crucial distinctions between the nature of perspective choice in signed languages in which signing space is used to convey spatial information and spoken languages in which spatial information is conveyed by lexical spatial terms. English speakers predominantly reduce their addressee’s cognitive load by adopting their addressee’s perspective, whereas in ASL shared space can be used (there is no true addressee or speaker perspective) and in other contexts, reversing speaker perspective is common in ASL and does not increase the addressee’s cognitive load.

scholarly journals Combined social and spatial coding in a descending projection from the prefrontal cortex

2017 ◽  
Author(s):  
M. Murugan ◽  
M. Park ◽  
J. Taliaferro ◽  
H.J. Jang ◽  
J. Cox ◽  
...  
Keyword(s):  
Prefrontal Cortex ◽  
Social Behavior ◽  
Spatial Information ◽  
Spatial Association ◽  
Well Being ◽  
Unique Contribution ◽  
Social Investigation ◽  
Spatial Coding ◽  
Socially Motivated ◽  
Spatial Locations

Social interactions are crucial to the survival and well-being of all mammals, including humans. Although the prelimbic cortex (PL, part of medial prefrontal cortex) has been implicated in social behavior, it is not clear which neurons are relevant, nor how they contribute. We found that the PL contains anatomically and molecularly distinct subpopulations of neurons that target 3 downstream regions that have been implicated in social behavior: the nucleus accumbens (NAc), the amygdala, and the ventral tegmental area. Activation of NAc-projecting PL neurons (PL-NAc), but not the other subpopulations, decreased preference for a social target, suggesting an unique contribution of this population to social behavior. To determine what information PL-NAc neurons convey, we recorded selectively from them, and found that individual neurons were active during social investigation, but only in specific spatial locations. Spatially-specific inhibition of these neurons prevented the formation of a social-spatial association at the inhibited location. In contrast, spatially nonspecific inhibition did not affect social behavior. Thus, the unexpected combination of social and spatial information within the PL-NAc population appears to support socially motivated behavior by enabling the formation of social-spatial associations.

Spatial-numerical associations from a novel paradigm support the mental number line account

2021 ◽  
Author(s):  
Lauren S Aulet ◽  
Sami Ryan Yousif ◽  
Stella F. Lourenco
Keyword(s):  
Memory Task ◽  
Verbal Working Memory ◽  
Number Line ◽  
Mental Number Line ◽  
Task Demands ◽  
Numerical Magnitude ◽  
The Novel ◽  
Alternative Account ◽  
Subject Design ◽  
Multiple Tasks

Multiple tasks have been used to demonstrate the relation between numbers and space. The classic interpretation of these directional spatial-numerical associations (d-SNAs) is that they are the product of a mental number line (MNL), in which numerical magnitude is intrinsically associated with spatial position. The alternative account is that d-SNAs reflect task demands, such as explicit numerical judgments and/or categorical responses. In the novel ‘Where was The Number?’ task, no explicit numerical judgments were made. Participants were simply required to reproduce the location of a numeral within a rectangular space. Using a between-subject design, we found that numbers, but not letters, biased participants’ responses along the horizontal dimension, such that larger numbers were placed more rightward than smaller numbers, even when participants completed a concurrent verbal working memory task. These findings are consistent with the MNL account, such that numbers specifically are inherently left-to-right oriented in Western participants.

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