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There is much recent interest in the idea that we represent our knowledge together with the sensory and motor features that were activated during its acquisition. This paper reviews the evidence for such "embodiment" in the domain of numerical cognition, a traditional stronghold of abstract theories of knowledge representation. The focus is on spatial-numerical associations, such as the SNARC effect (small numbers are associated with left space, larger numbers with right space). Using empirical evidence from behavioral research, I first describe sensory and motor biases induced by SNARC, thus identifying numbers as embodied concepts. Next, I propose a hierarchical relationship between grounded, embodied, and situated aspects of number knowledge. This hierarchical conceptualization helps to understand the variety of SNARC-related findings and yields testable predictions about numerical cognition. I report several such tests, ranging from cross-cultural comparisons of horizontal and vertical SNARC effects (Shaki and Fischer in J Exp Psychol Hum Percept Perform 38(3): 804-809, 2012) to motor cortical activation studies in adults with left- and right-hand counting preferences (Tschentscher et al. in NeuroImage 59: 3139-3148, 2012). It is concluded that the diagnostic features for each level of the proposed hierarchical knowledge representation, together with the spatial associations of numbers, make the domain of numerical knowledge an ideal testing ground for embodied cognition research.
Recent research showed that past events are associated with the back and left side, whereas future events are associated with the front and right side of space. These spatial-temporal associations have an impact on our sensorimotor system: thinking about one's past and future leads to subtle body sways in the sagittal dimension of space (Miles, Nind, & Macrae, 2010). In this study we investigated whether mental time travel leads to sensorimotor correlates in the horizontal dimension of space. Participants were asked to mentally displace themselves into the past or future while measuring their spontaneous eye movements on a blank screen. Eye gaze was directed more rightward and upward when thinking about the future than when thinking about the past. Our results provide further insight into the spatial nature of temporal thoughts, and show that not only body, but also eye movements follow a (diagonal) "time line" during mental time travel. (C) 2014 Elsevier Inc. All rights reserved.
Canonical finger postures, as used in counting, activate number knowledge, but the exact mechanism for this priming effect is unclear. Here we dissociated effects of visual versus motor priming of number concepts. In Experiment 1, participants were exposed either to pictures of canonical finger postures (visual priming) or actively produced the same finger postures (motor priming) and then used foot responses to rapidly classify auditory numbers (targets) as smaller or larger than 5. Classification times revealed that manually adopted but not visually perceived postures primed magnitude classifications. Experiment 2 obtained motor priming of number processing through finger postures also with vocal responses. Priming only occurred through canonical and not through non-canonical finger postures. Together, these results provide clear evidence for motor priming of number knowledge. Relative contributions of vision and action for embodied numerical cognition and the importance of canonicity of postures are discussed.
The link between numerical magnitude and mechanisms of spatial orienting has been underlined in an increasing number of studies. Similarly, the relationship between numerical magnitude and grasping actions has started to be investigated. The present study focuses on the influence of numerical magnitude processing in the free choice of the position of an object. Participants were presented with a digit (1-9 without 5) and were required to decide whether it was smaller or larger than 5. Then, they had to grasp a small cube and change its position before vocally responding "higher" or "lower". Results showed that in the initial phase of the grasp movement, the grip aperture was modulated by the numerical magnitude. Moreover, participants shifted the position of the cube more leftward with smaller digits compared with larger ones, and they tended to position the object closer to themselves with smaller digits compared with larger ones. These results extend the previous findings indicating that the processing of magnitude is tightly related to the mechanisms of spatial orienting that subserve action execution.
Recent research has suggested that all types of size-related information are linked by a generalised system that codes for domain-independent magnitudes. This generalized system is further suggested to be acquired through everyday sensorimotor experiences with contingencies of size-related information in the real world. The aim of the present study was to investigate the existence of this common representation and its impact on the coupling of perception and action in early childhood. According to an embodied view on magnitude representation, an association between perceived magnitude information and size-related motor features, such as applied motor force, should emerge as soon as motor control is sufficiently developed. This hypothesis was tested in 2.5- to 3-year-old toddlers by engaging them in a computer game-like experimental task in which they were required to move objects placed on a platform upwards by pressing a button. The amount of objects was varied systematically (small amount: 3 vs. large amount: 15) and the force children applied on the button while moving the objects was recorded. Importantly, the amount of applied force was not relevant for successfully playing the game. The analysis of the peak force revealed that motor responses were executed more forcefully when children were presented with a large amount of objects compared to a small amount, irrespective of the toddler’s motor abilities which were evaluated by two additional measures (force control and general fine motor skills). This general effect of perceived magnitude information on the task-irrelevant applied motor force confirms our notion that a link between perceptual and motor magnitudes exists already in early childhood and provides new evidence for a sensorimotor grounding of magnitude concepts.
Several lines of research have demonstrated spatial-numerical associations in both adults and children, which are thought to be based on a spatial representation of numerical information in the form of a mental number line. The acquisition of increasingly precise mental number line representations is assumed to support arithmetic learning in children. It is further suggested that sensorimotor experiences shape the development of number concepts and arithmetic learning, and that mental arithmetic can be characterized as “motion along a path” and might constitute shifts in attention along the mental number line. The present study investigated whether movements in physical space influence mental arithmetic in primary school children, and whether the expected effect depends on concurrency of body movements and mental arithmetic. After turning their body towards the left or right, 48 children aged 8 to 10 years solved simple subtraction and addition problems. Meanwhile, they either walked or stood still and looked towards the respective direction. We report a congruency effect between body orientation and operation type, i.e., higher performance for the combinations leftward orientation and subtraction and rightward orientation and addition. We found no significant difference between walking and looking conditions. The present results suggest that mental arithmetic in children is influenced by preceding sensorimotor cues and not necessarily by concurrent body movements.
Moving arms
(2018)
Embodied cognition postulates a bi-directional link between the human body and its cognitive functions. Whether this holds for higher cognitive functions such as problem solving is unknown. We predicted that arm movement manipulations performed by the participants could affect the problem-solving solutions. We tested this prediction in quantitative reasoning tasks that allowed two solutions to each problem (addition or subtraction). In two studies with healthy adults (N=53 and N=50), we found an effect of problem-congruent movements on problem solutions. Consistent with embodied cognition, sensorimotor information gained via right or left arm movements affects the solution in different types of problem-solving tasks.
We measured memory span for assembly instructions involving objects with handles oriented to the left or right side. Right-handed participants remembered more instructions when objects' handles were spatially congruent with the hand used in forthcoming assembly actions. No such affordance-based memory benefit was found for left-handed participants. These results are discussed in terms of motor simulation as an embodied rehearsal mechanism.
A number of new psycholinguistic variables has been proposed during the last years within embodied cognition framework: modality experience rating (i.e., relationship between words and images of a particular perceptive modality-visual, auditory, haptic etc.), manipulability (the necessity for an object to interact with human hands in order to perform its function), vertical spatial localization. However, it is not clear how these new variables are related to each other and to such traditional variables as imageability, AoA and word frequency. In this article, normative data on the modality (visual, auditory, haptic, olfactory, and gustatory) ratings, vertical spatial localization of the object, manipulability, imageability, age of acquisition, and subjective frequency for 506 Russian nouns are presented. Strongest correlations were observed between olfactory and gustatory modalities (.81), visual modality and imageability (.78), haptic modality and manipulability (.7). Other modalities also significantly correlate with imageability: olfactory (.35), gustatory (.24), and haptic (.67). Factor analysis divided variables into four groups where visual and haptic modality ratings were combined with imageability, manipulability and AoA (the first factor); word length, frequency and AoA formed the second factor; olfactory modality was united with gustatory (the third factor); spatial localization only is included in the fourth factor. Present norms of imageability and AoA are consistent with previous as correlation analysis has revealed. The complete database can be downloaded from supplementary material.
The literature on spatial associations during number processing is dominated by the SNARC (spatial-numerical association of response codes) effect. We describe spatial biases found for single digits and pairs of numbers, first in the "original" speeded parity task and then extending the scope to encompass different tasks, a range of measures, and various populations. Then we review theoretical accounts before surveying the emerging evidence for similar spatial associations during mental arithmetic. We conclude that the mental number line hypothesis and an embodied approach are useful frameworks for further studies.