Direction counts: a comparative study of spatially directional counting biases in cultures with different reading directions

Western adults associate small numbers with left space and large numbers with right space. Where does this pervasive spatial–numerical association come from? In this study, we first recorded directional counting preferences in adults with different reading experiences (left to right, right to left, mixed, and illiterate) and observed a clear relationship between reading and counting directions. We then recorded directional counting preferences in preschoolers and elementary school children from three of these reading cultures (left to right, right to left, and mixed). Culture-specific counting biases existed before reading acquisition in children as young as 3 years and were subsequently modified by early reading experience. Together, our results suggest that both directional counting and scanning activities contribute to number–space associations.     

The flexibility of association between temporal concepts and physical space in the Japanese language

Previous studies have indicated that temporal concepts such as the past and future are associated with horizontal (left–right) space. This association has been interpreted as reflecting left‐to‐right writing systems. The Japanese language, however, is written both horizontally and vertically and, when texts are presented vertically, the sequence of columns runs from right to left. This study examines whether the associations between time and space are changed by the direction of the character strings using a word categorization task. Consistent with previous studies, response times and error rates indicated left‐past and right‐future associations when participants read words presented horizontally. On the other hand, response times indicated the opposite (i.e., left‐future and right‐past associations) when participants read words presented vertically. These results suggest that temporal concepts are not associated with one's body or physical space in an inflexible manner, but rather the associations can flexibly change through experience.     

Parental socioeconomic status and the neural basis of arithmetic: differential relations to verbal and visuo‐spatial representations

We examined the relation of parental socioeconomic status (SES) to the neural bases of subtraction in school‐age children (9‐ to 12‐year‐olds). We independently localized brain regions subserving verbal versus visuo‐spatial representations to determine whether the parental SES‐related differences in children's reliance on these neural representations vary as a function of math skill. At higher SES levels, higher skill was associated with greater recruitment of the left temporal cortex, identified by the verbal localizer. At lower SES levels, higher skill was associated with greater recruitment of right parietal cortex, identified by the visuo‐spatial localizer. This suggests that depending on parental SES, children engage different neural systems to solve subtraction problems. Furthermore, SES was related to the activation in the left temporal and frontal cortex during the independent verbal localizer task, but it was not related to activation during the independent visuo‐spatial localizer task. Differences in activation during the verbal localizer task in turn were related to differences in activation during the subtraction task in right parietal cortex. The relation was stronger at lower SES levels. This result suggests that SES‐related differences in the visuo‐spatial regions during subtraction might be based in SES‐related verbal differences.     

KNOWING ABOUT READING BEFORE READING: PRESCHOOL CHILDREN'S CONCEPTS OF READING

This paper reports findings from an investigation of preschool children's concepts about reading. Three tasks related to several basic ideas about reading were presented to 60 preschool children, ranging in age from three to five years. The first task assessed children's ability to identify oral and silent reading. The number of children who correctly identified both forms of reading increased with age, with almost all five‐year‐olds giving accurate responses. The second task was aimed at establishing children's perceptions of their own reading ability. Only four of the 60 children incorrectly evaluated their own reading ability. The third task investigated children's ability to recognize what it is on a page that is read. Three‐year‐olds were, on the whole, quite unaware of the salient information in books. Even among the five‐year‐olds, who performed significantly better than three‐ and four‐year‐olds on this task, some children's responses indicated an ambiguity about the role of print in reading. Suggestions for adults who guide young children through their early experiences with print are drawn from the findings of this investigation.     

Moving attention along the mental number line in preschool age: Study of the operational momentum in 3‐ to 5‐year‐old children's non‐symbolic arithmetic

People tend to underestimate subtraction and overestimate addition outcomes and to associate subtraction with the left side and addition with the right side. These two phenomena are collectively labeled 'operational momentum' (OM) and thought to have their origins in the same mechanism of 'moving attention along the mental number line'. OM in arithmetic has never been tested in children at the preschool age, which is critical for numerical development. In this study, 3–5 years old were tested with non‐symbolic addition and subtraction tasks. Their level of understanding of counting principles (CP) was assessed using the give‐a‐number task. When the second operand's cardinality was 5 or 6 (Experiment 1), the child's reaction time was shorter in addition/subtraction tasks after cuing attention appropriately to the right/left. Adding/subtracting one element (Experiment 2) revealed a more complex developmental pattern. Before acquiring CP, the children showed generalized overestimation bias. Underestimation in addition and overestimation in subtraction emerged only after mastering CP. No clear spatial‐directional OM pattern was found, however, the response time to rightward/leftward cues in addition/subtraction again depended on stage of mastering CP. Although the results support the hypothesis about engagement of spatial attention in early numerical processing, they point to at least partial independence of the spatial‐directional and magnitude OM. This undermines the canonical version of the number line‐based hypothesis. Mapping numerical magnitudes to space may be a complex process that undergoes reorganization during the period of acquisition of symbolic representations of numbers. Some hypotheses concerning the role of spatial‐numerical associations in numerical development are proposed.     

Motor Imagery Shapes Abstract Concepts

The concepts of “good” and “bad” are associated with right and left space. Individuals tend to associate good things with the side of their dominant hand, where they experience greater motor fluency, and bad things with their nondominant side. This mapping has been shown to be flexible: Changing the relative fluency of the hands, or even observing a change in someone else's motor fluency, results in a reversal of the conceptual mapping, such that good things become associated with the side of the nondominant hand. Yet, based on prior studies, it is unclear whether space–valence associations were determined by the experience of fluent versus disfluent actions, or by the mere expectation of fluency. Here, we tested the role of expected fluency by removing motor execution and perceptual feedback altogether. Participants were asked to imagine themselves performing a psychomotor task with one of their hands impaired, after which their implicit space–valence mapping was measured. After imagining that their right hand was impaired, right‐handed participants showed the “good is left” association typical of left‐handers. Motor imagery can change people's implicit associations between space and emotional valence. Although asymmetric motor experience may be necessary to establish body‐specific associations between space and valence initially, neither motoric nor perceptual experience is needed to change these associations subsequently. The mere expectation of fluent versus disfluenct actions can drive fluency‐based effects on people's implicit spatialization of “good” and “bad.” These results suggest a reconsideration of the mechanisms and boundary conditions of fluency effects.     

An Embodiment Perspective on Number–Space Mapping in 3.5‐Year‐Old Dutch Children

Previous research suggests that block adding, subtracting and counting direction are early forms of number–space mapping. In this study, an embodiment perspective on these skills was taken. Embodiment theory assumes that cognition emerges through sensory–motor interaction with the environment. In line with this assumption, it was investigated if counting and adding/subtracting direction in young children is related to the hand they use during task performance. Forty‐eight 3.5‐year‐old children completed a block adding, subtracting and counting task. They had to add and remove a block from a row of three blocks and count a row of five blocks. Adding, subtracting and counting direction were related to the hand the children used for task performance. Most children who used their right hand added, removed and started counting the blocks at the right side of the row. Most children who used their left hand added, removed and started counting the blocks at the left side of the row. It can be concluded that number–space mapping, as measured by direction of adding, subtracting and counting blocks, in young children is embodied: It is not fixed, but is related to the situation. © 2016 The Authors Infant and Child Development Published by John Wiley & Sons, Ltd.     

Reading habits for both words and numbers contribute to the SNARC effect

This study compared the spatial representation of numbers in three groups of adults: Canadians, who read both English words and Arabic numbers from left to right; Palestinians, who read Arabic words and Arabic-Indic numbers from right to left; and Israelis, who read Hebrew words from right to left but Arabic numbers from left to right. Canadians associated small numbers with left and large numbers with right space (the SNARC effect), Palestinians showed the reverse association, and Israelis had no reliable spatial association for numbers. These results suggest that reading habits for both words and numbers contribute to the spatial representation of numbers.     

Comparing implicit and synaesthetic number–space associations: Visuospatial and verbal spatial–numerical associations of response codes

In the theory of the mental number line, number, and space are implicitly associated, giving rise to the spatial–numerical association of response codes (SNARC) effect, in which smaller numbers are more readily associated with the left side of space and larger numbers with the right, during a parity judgement task. Others, however, have argued that the SNARC effect is flexible and better explained by verbal rather than spatial associations. A few single-case studies on the SNARC effect have tested number–space synaesthetes, who make explicit associations between number and space. Here, we present data from experiments conducted on groups of synaesthetes and nonsynaesthetes on the classic SNARC parity judgement task with lateralized response keys and a modified version in which they responded to labels appearing on screen. Synaesthetes' behaviour was expected to differ from nonsynaesthetes' behaviour due to the explicit, fixed nature of their number–space associations, but both experiments show the two groups behaving in the same way, indicating that parity judgement tasks may not be tapping the same representation of number that gives rise to synaesthetic number–space experiences.     

How does reading direction modulate perceptual asymmetry effects?

Left-side bias effects refer to a bias towards the left side of the stimulus/space in perceptual/visuospatial judgments, and are argued to reflect dominance of right hemisphere processing. It remains unclear whether reading direction can also account for the bias effect. Previous studies comparing readers of languages read from left to right with those read from right to left (e.g., French vs. Hebrew) have obtained inconsistent results. As a language that can be read from left to right or from right to left, Chinese provides a unique opportunity for a within-culture examination of reading direction effects. Chinese participants performed a perceptual judgment task (with both face and Chinese character stimuli; Experiment 1) and two visuospatial attention tasks (the greyscales and line bisection tasks; Experiment 2) once before and once after a reading task, in which they read Chinese passages either from left to right or from right to left for about 20 min. After reading from right to left, participants showed significantly reduced left-side bias in Chinese character perceptual judgments but not in the other three tasks. This effect suggests that the role of reading direction on different forms of left-side bias may differ, and its modulation may be stimulus-specific.     

Facilitating Effect of Multisensory Letter Encoding on Reading and Spelling in 5‐Year‐Old Children

This study aims at identifying the effect of training in the acquisition of the alphabetic principle in 5‐year‐old children. We compared the effect of multisensory training of letters in visual, haptic, graphomotor, visuo‐haptic, and visuo‐graphomotor groups. For each training type, we contrasted trained versus untrained letters in reading and spelling tasks. First, visuo‐haptic and visuo‐graphomotor training improved letter‐sound correspondence acquisition scores more than the other types of training, and this improvement persisted in the second post‐test. A cross‐modal transfer was revealed by the fact that scores increased after blindfold haptic and graphomotor experiences. Moreover, performance on untrained letters also improved, suggesting an indirect effect following the specific trained letters training. The results argue in favor of a facilitating effect of multisensory encoding on acquisition of the alphabetic principle. Practical implications for the prevention of future reading difficulties are discussed. Copyright © 2015 John Wiley & Sons, Ltd.     

How to cook a SNARC: Number placement in text rapidly changes spatial–numerical associations

Most theoreticians believe that reading habits explain why Western adults associate small numbers with left space and large numbers with right space (the SNARC effect). We challenge this belief by documenting, in both English and Hebrew, that SNARC changes during reading: small and large numbers in our texts appeared near the left or right ends of the lines, positioned either spatially congruent or incongruent with reading habits. In English, the congruent group showed reliable SNARC before and after reading and the incongruent group’s SNARC was significantly reduced. In Hebrew the incongruent reading condition even induced a reverse SNARC. These results show that SNARC is a fleeting aspect of number representation that captures multiple spatial associations.     

Children can optimally integrate multisensory information after a short action‐like mini game training

Combining information across different sensory modalities is of critical importance for the animal's survival and a core feature of human's everyday life. In adulthood, sensory information is often integrated in a statistically optimal fashion, so that the combined estimates of two or more senses are more reliable than the best single one. Several studies have shown that young children use one sense to calibrate the others, which results in unisensory dominance and undermines their optimal multisensory integration abilities. In this study we trained children aged 4–5 years with action‐like mini games, to determine whether it could improve their multisensory as well as their visuo‐spatial skills. Multisensory integration abilities were assessed using a visuo‐haptic size discrimination task, while visuo‐spatial attention skills were investigated using a multiple object tracking task (MOT). We found that 2‐weeks training were sufficient to observe both optimal multisensory integration and visuo‐spatial enhancements selectively in the group trained with action‐like mini games. This plastic change persisted up to 3 months, as assessed in a follow‐up. Our novel findings reveal that abilities that are commonly known to emerge in late childhood can be promoted in younger children through action‐like mini games and have long‐lasting effects. Our data have clinical implications, in that they suggest that specific trainings could potentially help children with multisensory integration deficits.     

Loudness counts: Interactions between loudness,number magnitude,and space

ATOM (a theory of magnitude) suggests that magnitude information of different formats (numbers, space, and time) is processed within a generalized magnitude network. In this study we investigated whether loudness, as a possible indicator of intensity and magnitude, interacts with the processing of numbers. Small and large numbers, spoken in a quiet and a loud voice, were simultaneously presented to the left and right ear (Experiments 1a and 1b). Participants judged whether the number presented to the left or right ear was louder or larger. Responses were faster when the smaller number was spoken in a quiet voice, and the larger number in a loud voice. Thus, task-irrelevant numerical information influenced the processing of loudness and vice versa. This bi-directional link was also confirmed by classical SNARC paradigms (spatial–numerical association of response codes; Experiments 2a–2c) when participants again judged the magnitude or loudness of separately presented stimuli. In contrast, no loudness–number association was found in a parity judgment task. Regular SNARC effects were found in the magnitude and parity judgment task, but not in the loudness judgment task. Instead, in the latter task, response side was associated with loudness. Possible explanations for these results are discussed.     

Prism adaptation changes the subjective proprioceptive localization of the hands

Prism adaptation involves a proprioceptive, a visual and a motor component. As the existing paradigms are not able to distinguish between these three components, the contribution of the proprioceptive component remains unclear. In the current study, a proprioceptive judgement task, in the absence of motor responses, was used to investigate how prism adaptation would specifically influences the felt position of the hands in healthy participants. The task was administered before and after adaptation to left and right displacing prisms using either the left or the right hand during the adaptation procedure. The results appeared to suggest that the prisms induced a drift in the felt position of the hands, although the after‐effect depended on the combination of the pointing hand and the visual deviation induced by prisms. The results are interpreted as in line with the hypothesis of an asymmetrical neural architecture of somatosensory processing. Moreover, the passive proprioception of the hand position revealed different effects of proprioceptive re‐alignment compared to active pointing straight ahead: different mechanisms about how visuo‐proprioceptive discrepancy is resolved were hypothesized.     

The change in perceived motor competence and motor task values during elementary school: A longitudinal cohort study

Participation in motor activities is essential for social interaction and life satisfaction in children. Self‐perceptions and task values have a central position in why children do or do not participate in (motor) activities. Investigating developmental changes in motor self‐perceptions and motor task values in elementary school children would provide vital information about their participation in motor activities. We therefore examined the change in, and associations between, self‐perceptions and task values of fine motor competence, ball competence, and athletic competence in 292 children from kindergarten to grade 4. We also investigated differences between boys and girls, and between children with motor problems and typically developing children. Results indicated that self‐perceptions and task values are domain specific and differ between boys and girls, but not between children with motor problems and typically developing children. Self‐perceptions were not associated with task values. Educators should address specific self‐perceptions to enhance participation into the corresponding motor activities in children between kindergarten and grade 4, and differences in self‐perceptions and task values between boys and girls should be taken into account.     

Learning orthography in adulthood: A magnetoencephalographic study

Previous work demonstrated that there were differences between literate and comparable illiterate adult subjects. These differences were found in the performance on several tests and on patterns of activation on PET and fMRI. In the present study subjects that learned to read and to write in adulthood (being previously completely illiterate) were compared to controls, that is subjects that learned at school at the proper age. Magnetoencephalography was done while subjects were reading words. Results showed that, although the reading performance was the same in both groups while performing the task, the pattern of source distribution was different between groups. There were more late sources in right temporo‐parietal areas of late literates compared to controls and more late sources in left inferior frontal cortex in control subjects. It is concluded that learning to read in adulthood is a process supported by different brain structures from the ones used when learning occurs at the proper age. This may suggest that the same task can be similarly performed by relying on diverse functional brain anatomic networks.     

Evidence for a Spatial–Numerical Association in Kindergartners Using a Number Line Task

In Western cultures, small numbers are often associated with the left and large with the right space. We investigated whether this association is already present in kindergartners and second graders. Children (N = 59) estimated the position of numbers on a number line that was labeled either with a small number on the left side and a large number on the right side (i.e., left-to-right orientation) or vice versa (i.e., right-to-left orientation). The estimations were less accurate if the number line was oriented from right to left and if the children started with this condition. The results suggest that already kindergartners possess a culture-typical spatial–numerical association that develops before the acquisition of reading and writing skills and significantly affects the accuracy of numerical estimations. The performance of second graders, too, was affected by the orientation of the number line, but to a smaller degree than that of kindergartners.     

Task instructions determine the visuospatial and verbal–spatial nature of number–space associations

Evidence for number–space associations comes from the spatial–numerical association of response codes (SNARC) effect, consisting in faster reaction times to small/large digits with the left/right hand, respectively. Two different proposals are commonly discussed concerning the cognitive origin of the SNARC effect: the visuospatial account and the verbal–spatial account. Recent studies have provided evidence for the relative dominance of verbal–spatial over visuospatial coding mechanisms, when both mechanisms were directly contrasted in a magnitude comparison task. However, in these studies, participants were potentially biased towards verbal–spatial number processing by task instructions based on verbal–spatial labels. To overcome this confound and to investigate whether verbal–spatial coding mechanisms are predominantly activated irrespective of task instructions, we completed the previously used paradigm by adding a spatial instruction condition. In line with earlier findings, we could confirm the predominance of verbal–spatial number coding under verbal task instructions. However, in the spatial instruction condition, both verbal–spatial and visuospatial mechanisms were activated to an equal extent. Hence, these findings clearly indicate that the cognitive origin of number–space associations does not always predominantly rely on verbal–spatial processing mechanisms, but that the spatial code associated with numbers is context dependent.     

Perceptual and motor congruency effects in time–space association

It is well established that temporal events are represented on a spatially oriented mental time line from left to right. Depending on the task characteristics, the spatial representation of time may be linked to different types of dimensions, including manual response codes and physical space codes. The aim of the present study was to analyze whether manual response and physical space codes are independent of each other or whether they interact when both types of information are involved in the task. The participants performed a temporal estimation task with two lateralized response buttons in four experiments. In the first experiment, the target stimuli were presented on the left side, at the center, or on the right side of the space, whereas the reference stimuli were always presented centrally. The reverse situation was presented in the second experiment. In the third experiment, both stimuli were presented in opposite spatial positions (e.g., left–right), whereas in the last experiment, both stimuli were presented in the same spatial position (e.g., left–left). In all experiments, perceptual and motor congruency effects were found, but no modulation of the congruency effects was found when both the perceptual and motor components were congruent. The results indicated that physical, spatial, and manual response codes are independent from each other for time–space associations, even when both codes are involved in the task. These results are discussed in terms of the “intermediate-coding” account.