TY - GEN A1 - Wiemers, Michael A1 - Bekkering, Harold A1 - Lindemann, Oliver T1 - Two attributes of number meaning BT - numerical associations with visual space and size exist in parallel T2 - Postprints der Universität Potsdam Humanwissenschaftliche Reihe N2 - Many studies demonstrated interactions between number processing and either spatial codes (effects of spatial-numerical associations) or visual size-related codes (size-congruity effect). However, the interrelatedness of these two number couplings is still unclear. The present study examines the simultaneous occurrence of space- and size-numerical congruency effects and their interactions both within and across trials, in a magnitude judgment task physically small or large digits were presented left or right from screen center. The reaction times analysis revealed that space- and size-congruency effects coexisted in parallel and combined additively. Moreover, a selective sequential modulation of the two congruency effects was found. The size-congruency effect was reduced after size incongruent trials. The space-congruency effect, however, was only affected by the previous space congruency. The observed independence of spatial-numerical and within magnitude associations is interpreted as evidence that the two couplings reflect Different attributes of numerical meaning possibly related to orginality and cardinality. T3 - Zweitveröffentlichungen der Universität Potsdam : Humanwissenschaftliche Reihe - 587 KW - gratton effect KW - shared magnitude representation KW - size-congruity effect KW - spatial-numerical associations KW - number processing Y1 - 2019 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-433566 SN - 1866-8364 IS - 587 SP - 253 EP - 261 ER - TY - JOUR A1 - Wiemers, Michael A1 - Bekkering, Harold A1 - Lindemann, Oliver T1 - Two attributes of number meaning BT - numerical associations with visual space and size exist in parallel JF - Experimental Psychology N2 - Many studies demonstrated interactions between number processing and either spatial codes (effects of spatial-numerical associations) or visual size-related codes (size-congruity effect). However, the interrelatedness of these two number couplings is still unclear. The present study examines the simultaneous occurrence of space- and size-numerical congruency effects and their interactions both within and across trials, in a magnitude judgment task physically small or large digits were presented left or right from screen center. The reaction times analysis revealed that space- and size-congruency effects coexisted in parallel and combined additively. Moreover, a selective sequential modulation of the two congruency effects was found. The size-congruency effect was reduced after size incongruent trials. The space-congruency effect, however, was only affected by the previous space congruency. The observed independence of spatial-numerical and within magnitude associations is interpreted as evidence that the two couplings reflect Different attributes of numerical meaning possibly related to orginality and cardinality. KW - Gratton effect KW - shared magnitude representation KW - size-congruity effect KW - spatial-numerical associations KW - number processing Y1 - 2017 U6 - https://doi.org/10.1027/1618-3169/a000366 SN - 1618-3169 SN - 2190-5142 VL - 64 IS - 4 SP - 253 EP - 261 PB - Hogrefe CY - Göttingen ER - TY - GEN A1 - Miklashevsky, Alex A. A1 - Lindemann, Oliver A1 - Fischer, Martin H. T1 - Think of the future in the right way BT - Processing time activates the motor system T2 - Cognitive processing : international quarterly of cognitive science Y1 - 2018 SN - 1612-4782 SN - 1612-4790 VL - 19 SP - S46 EP - S46 PB - Springer CY - Heidelberg ER - TY - JOUR A1 - Miklashevsky, Alex A1 - Lindemann, Oliver A1 - Fischer, Martin H. T1 - The force of numbers BT - Investigating manual signatures of embodied number processing JF - Frontiers in human neuroscience / Frontiers Research Foundation N2 - The study has two objectives: (1) to introduce grip force recording as a new technique for studying embodied numerical processing; and (2) to demonstrate how three competing accounts of numerical magnitude representation can be tested by using this new technique: the Mental Number Line (MNL), A Theory of Magnitude (ATOM) and Embodied Cognition (finger counting-based) account. While 26 healthy adults processed visually presented single digits in a go/no-go n-back paradigm, their passive holding forces for two small sensors were recorded in both hands. Spontaneous and unconscious grip force changes related to number magnitude occurred in the left hand already 100-140 ms after stimulus presentation and continued systematically. Our results support a two-step model of number processing where an initial stage is related to the automatic activation of all stimulus properties whereas a later stage consists of deeper conscious processing of the stimulus. This interpretation generalizes previous work with linguistic stimuli and elaborates the timeline of embodied cognition. We hope that the use of grip force recording will advance the field of numerical cognition research. KW - ATOM KW - embodied cognition KW - finger counting KW - grip force KW - mental number KW - line KW - number processing KW - numerical cognition Y1 - 2021 U6 - https://doi.org/10.3389/fnhum.2020.590508 SN - 1662-5161 VL - 14 PB - Frontiers Media CY - Lausanne ER - TY - CHAP A1 - Sixtus, Elena A1 - Lindemann, Oliver A1 - Fischer, Martin H. T1 - The flexibility of finger-based magnitude representations T2 - Cognitive processing : international quarterly of cognitive science Y1 - 2014 SN - 1612-4782 SN - 1612-4790 VL - 15 IS - 1 SP - S68 EP - S69 PB - Springer CY - Heidelberg ER - TY - JOUR A1 - Stapel, Janny C. A1 - Hunnius, Sabine A1 - Bekkering, Harold A1 - Lindemann, Oliver T1 - The development of numerosity estimation: Evidence for a linear number representation early in life JF - Journal of cognitive psychology N2 - Several studies investigating the development of approximate number representations used the number-to-position task and reported evidence for a shift from a logarithmic to a linear representation of numerical magnitude with increasing age. However, this interpretation as well as the number-to-position method itself has been questioned recently. The current study tested 5- and 8-year-old children on a newly established numerosity production task to examine developmental changes in number representations and to test the idea of a representational shift. Modelling of the children's numerical estimations revealed that responses of the 8-year-old children approximate a simple positive linear relation between estimated and actual numbers. Interestingly, however, the estimations of the 5-year-old children were best described by a bilinear model reflecting a relatively accurate linear representation of small numbers and no apparent magnitude knowledge for large numbers. Taken together, our findings provide no support for a shift of mental representations from a logarithmic to a linear metric but rather suggest that the range of number words which are appropriately conceptualised and represented by linear analogue magnitude codes expands during development. KW - Numerical estimation KW - Number cognition KW - Development KW - Bilinear models KW - Number representation Y1 - 2015 U6 - https://doi.org/10.1080/20445911.2014.995668 SN - 2044-5911 SN - 2044-592X VL - 27 IS - 4 SP - 400 EP - 412 PB - Routledge, Taylor & Francis Group CY - Abingdon ER - TY - JOUR A1 - Sixtus, Elena A1 - Lindemann, Oliver A1 - Fischer, Martin H. T1 - Stimulating numbers BT - signatures of finger counting in numerosity processing JF - Psychological research : an international journal of perception, attention, memory, and action N2 - Finger counting is one of the first steps in the development of mature number concepts. With a one-to-one correspondence of fingers to numbers in Western finger counting, fingers hold two numerical meanings: one is based on the number of fingers raised and the second is based on their ordinal position within the habitual finger counting sequence. This study investigated how these two numerical meanings of fingers are intertwined with numerical cognition in adults. Participants received tactile stimulation on their fingertips of one hand and named either the number of fingers stimulated (2, 3, or 4 fingers; Experiment 1) or the number of stimulations on one fingertip (2, 3, or 4 stimulations; Experiment 2). Responses were faster and more accurate when the set of stimulated fingers corresponded to finger counting habits (Experiment 1) and when the number of stimulations matched the ordinal position of the stimulated finger (Experiment 2). These results show that tactile numerosity perception is affected by individual finger counting habits and that those habits give numerical meaning to single fingers. Y1 - 2018 U6 - https://doi.org/10.1007/s00426-018-0982-y SN - 0340-0727 SN - 1430-2772 VL - 84 IS - 1 SP - 152 EP - 167 PB - Springer CY - Heidelberg 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 - Wiemers, Michael A1 - Bekkering, Harold A1 - Lindemann, Oliver T1 - Spatial interferences in mental arithmetic: Evidence from the motion-arithmetic compatibility effect JF - The quarterly journal of experimental psychology N2 - Recent research on spatial number representations suggests that the number space is not necessarily horizontally organized and might also be affected by acquired associations between magnitude and sensory experiences in vertical space. Evidence for this claim is, however, controversial. The present study now aims to compare vertical and horizontal spatial associations in mental arithmetic. In Experiment 1, participants solved addition and subtraction problems and indicated the result verbally while moving their outstretched right arm continuously left-, right-, up-, or downwards. The analysis of the problem-solving performances revealed a motion-arithmetic compatibility effect for spatial actions along both the horizontal and the vertical axes. Performances in additions was impaired while making downward compared to upward movements as well as when moving left compared to right and vice versa in subtractions. In Experiment 2, instead of being instructed to perform active body movements, participants calculated while the problems moved in one of the four relative directions on the screen. For visual motions, only the motion-arithmetic compatibility effect for the vertical dimension could be replicated. Taken together, our findings provide first evidence for an impact of spatial processing on mental arithmetic. Moreover, the stronger effect of the vertical dimension supports the idea that mental calculations operate on representations of numerical magnitude that are grounded in a vertically organized mental number space. KW - Mental arithmetic KW - Numerical cognition KW - Spatial-numerical associations KW - Embodied cognition Y1 - 2014 U6 - https://doi.org/10.1080/17470218.2014.889180 SN - 1747-0218 SN - 1747-0226 VL - 67 IS - 8 SP - 1557 EP - 1570 PB - Routledge, Taylor & Francis Group CY - Abingdon ER -