TY - JOUR A1 - Fischer, Martin H. A1 - Riello, Marianna A1 - Giordano, Bruno L. A1 - Rusconi, Elena T1 - Singing numbers ... in cognitive space - a dual-task study of the link between pitch, space, and numbers JF - Topics in cognitive science N2 - We assessed the automaticity of spatial-numerical and spatial-musical associations by testing their intentionality and load sensitivity in a dual-task paradigm. In separate sessions, 16 healthy adults performed magnitude and pitch comparisons on sung numbers with variable pitch. Stimuli and response alternatives were identical, but the relevant stimulus attribute (pitch or number) differed between tasks. Concomitant tasks required retention of either color or location information. Results show that spatial associations of both magnitude and pitch are load sensitive and that the spatial association for pitch is more powerful than that for magnitude. These findings argue against the automaticity of spatial mappings in either stimulus dimension. KW - Auditory pitch KW - Dual task KW - Mental number line KW - SMARC KW - SNARC KW - Spatial coding Y1 - 2013 U6 - https://doi.org/10.1111/tops.12017 SN - 1756-8757 VL - 5 IS - 2 SP - 354 EP - 366 PB - Wiley-Blackwell CY - Hoboken ER - TY - JOUR A1 - Göbel, Silke M. A1 - McCrink, Koleen A1 - Fischer, Martin H. A1 - Shaki, Samuel T1 - Observation of directional storybook reading influences young children’s counting direction JF - Journal of experimental child psychology N2 - Even before formal schooling, children map numbers onto space in a directional manner. The origin of this preliterate spatial–numerical association is still debated. We investigated the role of enculturation for shaping the directionality of the association between numbers and space, focusing on counting behavior in 3- to 5-year-old preliterate children. Two studies provide evidence that, after observing reading from storybooks (left-to-right or right-to-left reading) children change their counting direction in line with the direction of observed reading. Just observing visuospatial directional movements had no such effect on counting direction. Complementarily, we document that book illustrations, prevalent in children’s cultures, exhibit directionality that conforms to the direction of a culture’s written language. We propose that shared book reading activates spatiotemporal representations of order in young children, which in turn affect their spatial representation of numbers. KW - Counting direction KW - Cross-cultural KW - Mental number line KW - Reading KW - Spatial-numerical association KW - Preschool children Y1 - 2017 U6 - https://doi.org/10.1016/j.jecp.2017.08.001 SN - 0022-0965 SN - 1096-0457 VL - 166 SP - 49 EP - 66 PB - Elsevier CY - New York ER - TY - JOUR A1 - Hartmann, Matthias A1 - Fischer, Martin H. A1 - Mast, Fred Walter T1 - Sharing a mental number line across individuals? The role of body position and empathy in joint numerical cognition JF - The quarterly journal of experimental psychology N2 - 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. KW - Mental number line KW - random number generation KW - joint action KW - joint Simon effect KW - empathy KW - Interpersonal Reactivity Index Y1 - 2019 U6 - https://doi.org/10.1177/1747021818809254 SN - 1747-0218 SN - 1747-0226 VL - 72 IS - 7 SP - 1732 EP - 1740 PB - Sage Publ. CY - London ER - TY - JOUR A1 - Hartmann, Matthias A1 - Laubrock, Jochen A1 - Fischer, Martin H. T1 - The visual number world BT - a dynamic approach to study the mathematical mind JF - The quarterly journal of experimental psychology N2 - In the domain of language research, the simultaneous presentation of a visual scene and its auditory description (i.e., the visual world paradigm) has been used to reveal the timing of mental mechanisms. Here we apply this rationale to the domain of numerical cognition in order to explore the differences between fast and slow arithmetic performance, and to further study the role of spatial-numerical associations during mental arithmetic. We presented 30 healthy adults simultaneously with visual displays containing four numbers and with auditory addition and subtraction problems. Analysis of eye movements revealed that participants look spontaneously at the numbers they currently process (operands, solution). Faster performance was characterized by shorter latencies prior to fixating the relevant numbers and fewer revisits to the first operand while computing the solution. These signatures of superior task performance were more pronounced for addition and visual numbers arranged in ascending order, and for subtraction and numbers arranged in descending order (compared to the opposite pairings). Our results show that the visual number world-paradigm provides on-line access to the mind during mental arithmetic, is able to capture variability in arithmetic performance, and is sensitive to visual layout manipulations that are otherwise not reflected in response time measurements. KW - Eye movements KW - Mental arithmetic KW - Mental number line KW - Visual world paradigm Y1 - 2018 U6 - https://doi.org/10.1080/17470218.2016.1240812 SN - 1747-0218 SN - 1747-0226 VL - 71 IS - 1 SP - 28 EP - 36 PB - Sage Publ. CY - London ER - TY - JOUR A1 - Hartmann, Matthias A1 - Martarelli, Corinna S. A1 - Mast, Fred W. A1 - Stocker, Kurt T1 - Eye movements during mental time travel follow a diagonal line JF - Consciousness and cognition N2 - 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. KW - Mental time travel KW - Eye movements KW - Mental time line KW - Spatial-temporal association KW - Future KW - Past KW - Embodied cognition KW - Metaphors KW - Mental number line Y1 - 2014 U6 - https://doi.org/10.1016/j.concog.2014.09.007 SN - 1053-8100 SN - 1090-2376 VL - 30 SP - 201 EP - 209 PB - Elsevier CY - San Diego ER - TY - JOUR A1 - Lonnemann, Jan A1 - Müller, Christian A1 - Büttner, Gerhard A1 - Hasselhorn, Marcus T1 - The influence of visual-spatial skills on the association between processing of nonsymbolic numerical magnitude and number word sequence skills JF - Journal of experimental child psychology N2 - Nonsymbolic numerical magnitude processing skills are assumed to be fundamental to mathematical learning. Recent findings suggest that visual–spatial skills account for associations between children’s performance in visually presented nonsymbolic numerical magnitude comparison tasks and their performance in visually presented arithmetic tasks. The aim of the current study was to examine whether associations between children’s performance in visually presented tasks assessing nonsymbolic numerical magnitude processing skills and their performance in tasks assessing early mathematical skills, which do not involve visual stimulation, may also be mediated by visual–spatial skills. This line of reasoning is based on the assumption that children make use of mental visualization processes when working on tasks assessing early mathematical skills, such as knowledge of the sequence of number words, even when these tasks do not involve visual stimulation. We assessed 4- to 6-year-old children’s performance in a nonsymbolic numerical magnitude comparison task, in tasks concerning knowledge of the sequence of number words, and in a developmental test to assess visual–spatial skills. Children’s nonsymbolic numerical magnitude processing skills were found to be associated with their number word sequence skills. This association was fully mediated by interindividual differences in visual–spatial skills. The effect size of this mediation effect was small. We assume that the ability to construct mental visualizations constitutes the key factor underlying this mediation effect. KW - Approximate number system KW - Numerical magnitude processing KW - Number word sequence skills KW - Visual-spatial skills KW - Mental visualization KW - Mental number line Y1 - 2018 U6 - https://doi.org/10.1016/j.jecp.2018.09.018 SN - 0022-0965 SN - 1096-0457 VL - 178 SP - 184 EP - 197 PB - Elsevier CY - New York ER - TY - JOUR A1 - Miklashevsky, Alex A1 - Fischer, Martin H. A1 - Lindemann, Oliver T1 - Spatial-numerical associations without a motor response? Grip force says ‘Yes’ JF - Acta Psychologica N2 - In numerical processing, the functional role of Spatial-Numerical Associations (SNAs, such as the association of smaller numbers with left space and larger numbers with right space, the Mental Number Line hypothesis) is debated. Most studies demonstrate SNAs with lateralized responses, and there is little evidence that SNAs appear when no response is required. We recorded passive holding grip forces in no-go trials during number processing. In Experiment 1, participants performed a surface numerical decision task (“Is it a number or a letter?”). In Experiment 2, we used a deeper semantic task (“Is this number larger or smaller than five?”). Despite instruction to keep their grip force constant, participants' spontaneous grip force changed in both experiments: Smaller numbers led to larger force increase in the left than in the right hand in the numerical decision task (500–700 ms after stimulus onset). In the semantic task, smaller numbers again led to larger force increase in the left hand, and larger numbers increased the right-hand holding force. This effect appeared earlier (180 ms) and lasted longer (until 580 ms after stimulus onset). This is the first demonstration of SNAs with passive holding force. Our result suggests that (1) explicit motor response is not a prerequisite for SNAs to appear, and (2) the timing and strength of SNAs are task-dependent. (216 words). KW - SNARC KW - Mental number line KW - Number processing KW - Embodied cognition KW - Grip force KW - Motor system Y1 - 2022 U6 - https://doi.org/10.1016/j.actpsy.2022.103791 SN - 1873-6297 VL - 231 SP - 1 EP - 17 PB - Elsevier CY - Amsterdam ER - TY - GEN A1 - Miklashevsky, Alex A1 - Fischer, Martin H. A1 - Lindemann, Oliver T1 - Spatial-numerical associations without a motor response? Grip force says ‘Yes’ T2 - Zweitveröffentlichungen der Universität Potsdam : Humanwissenschaftliche Reihe N2 - In numerical processing, the functional role of Spatial-Numerical Associations (SNAs, such as the association of smaller numbers with left space and larger numbers with right space, the Mental Number Line hypothesis) is debated. Most studies demonstrate SNAs with lateralized responses, and there is little evidence that SNAs appear when no response is required. We recorded passive holding grip forces in no-go trials during number processing. In Experiment 1, participants performed a surface numerical decision task (“Is it a number or a letter?”). In Experiment 2, we used a deeper semantic task (“Is this number larger or smaller than five?”). Despite instruction to keep their grip force constant, participants' spontaneous grip force changed in both experiments: Smaller numbers led to larger force increase in the left than in the right hand in the numerical decision task (500–700 ms after stimulus onset). In the semantic task, smaller numbers again led to larger force increase in the left hand, and larger numbers increased the right-hand holding force. This effect appeared earlier (180 ms) and lasted longer (until 580 ms after stimulus onset). This is the first demonstration of SNAs with passive holding force. Our result suggests that (1) explicit motor response is not a prerequisite for SNAs to appear, and (2) the timing and strength of SNAs are task-dependent. (216 words). T3 - Zweitveröffentlichungen der Universität Potsdam : Humanwissenschaftliche Reihe - 810 KW - SNARC KW - Mental number line KW - Number processing KW - Embodied cognition KW - Grip force KW - Motor system Y1 - 2023 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-578324 SN - 1866-8364 IS - 810 ER - TY - JOUR A1 - Pinhas, Michal A1 - Shaki, Samuel A1 - Fischer, Martin H. T1 - Heed the signs: Operation signs have spatial associations JF - The quarterly journal of experimental psychology N2 - Mental arithmetic shows systematic spatial biases. The association between numbers and space is well documented, but it is unknown whether arithmetic operation signs also have spatial associations and whether or not they contribute to spatial biases found in arithmetic. Adult participants classified plus and minus signs with left and right button presses under two counterbalanced response rules. Results from two experiments showed that spatially congruent responses (i.e., right-side responses for the plus sign and left-side responses for the minus sign) were responded to faster than spatially incongruent ones (i.e., left-side responses for the plus sign and right-side responses for the minus sign). We also report correlations between this novel operation sign spatial association (OSSA) effect and other spatial biases in number processing. In a control experiment with no explicit processing requirements for the operation signs there were no sign-related spatial biases. Overall, the results suggest that (a) arithmetic operation signs can evoke spatial associations (OSSA), (b) experience with arithmetic operations probably underlies the OSSA, and (c) the OSSA only partially contributes to spatial biases in arithmetic. KW - Mental arithmetic KW - Mental number line KW - Operational momentum KW - Pointing KW - Spatial-numerical association of response codes effect Y1 - 2014 U6 - https://doi.org/10.1080/17470218.2014.892516 SN - 1747-0218 SN - 1747-0226 VL - 67 IS - 8 SP - 1527 EP - 1540 PB - Routledge, Taylor & Francis Group CY - Abingdon ER - TY - JOUR A1 - Pinhas, Michal A1 - Shaki, Samuel A1 - Fischer, Martin H. T1 - Addition goes where the big numbers are: evidence for a reversed operational momentum effect JF - Psychonomic bulletin & review : a journal of the Psychonomic Society N2 - Number processing evokes spatial biases, both when dealing with single digits and in more complex mental calculations. Here we investigated whether these two biases have a common origin, by examining their flexibility. Participants pointed to the locations of arithmetic results on a visually presented line with an inverted, right-to-left number arrangement. We found directionally opposite spatial biases for mental arithmetic and for a parity task administered both before and after the arithmetic task. We discuss implications of this dissociation in our results for the task-dependent cognitive representation of numbers. KW - Mental arithmetic KW - Mental number line KW - Operational momentum KW - Pointing KW - SNARC Y1 - 2015 U6 - https://doi.org/10.3758/s13423-014-0786-z SN - 1069-9384 SN - 1531-5320 VL - 22 IS - 4 SP - 993 EP - 1000 PB - Springer CY - New York ER -