@article{MiklashevskyLindemannFischer2021, author = {Miklashevsky, Alex and Lindemann, Oliver and Fischer, Martin H.}, title = {The force of numbers}, series = {Frontiers in human neuroscience / Frontiers Research Foundation}, volume = {14}, journal = {Frontiers in human neuroscience / Frontiers Research Foundation}, publisher = {Frontiers Media}, address = {Lausanne}, issn = {1662-5161}, doi = {10.3389/fnhum.2020.590508}, pages = {16}, year = {2021}, abstract = {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.}, language = {en} } @article{SixtusLindemannFischer2018, author = {Sixtus, Elena and Lindemann, Oliver and Fischer, Martin H.}, title = {Stimulating numbers}, series = {Psychological research : an international journal of perception, attention, memory, and action}, volume = {84}, journal = {Psychological research : an international journal of perception, attention, memory, and action}, number = {1}, publisher = {Springer}, address = {Heidelberg}, issn = {0340-0727}, doi = {10.1007/s00426-018-0982-y}, pages = {152 -- 167}, year = {2018}, abstract = {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.}, language = {en} } @article{WiemersBekkeringLindemann2017, author = {Wiemers, Michael and Bekkering, Harold and Lindemann, Oliver}, title = {Is more always up?}, series = {Journal of cognitive psychology}, volume = {29}, journal = {Journal of cognitive psychology}, number = {5}, publisher = {Routledge, Taylor \& Francis Group}, address = {Abingdon}, issn = {2044-5911}, doi = {10.1080/20445911.2017.1302451}, pages = {642 -- 652}, year = {2017}, abstract = {It has been argued that the association of numbers and vertical space plays a fundamental role for the understanding of numerical concepts. However, convincing evidence for an association of numbers and vertical bimanual responses is still lacking. The present study tests the vertical Spatio-Numerical-Association-of-Response-Codes (SNARC) effect in a number classification task by comparing anatomical hand-based and spatial associations. A mixed effects model of linear spatial-numerical associations revealed no evidence for a vertical but clear support for an anatomical SNARC effect. Only if the task requirements prevented participants from using a number-hand association due to frequently alternating hand-to-button assignments, numbers were associated with the vertical dimension. Taken together, the present findings question the importance of vertical associations for the conceptual understanding of numerical magnitude as hypothesised by some embodied approaches to number cognition and suggest a preference for ego-over geocentric reference frames for the mapping of numbers onto space.}, language = {en} } @article{NazirHrycykMoreauetal.2017, author = {Nazir, Tatjana A. and Hrycyk, Lianna and Moreau, Quentin and Frak, Victor and Cheylus, Anne and Ott, Laurent and Lindemann, Oliver and Fischer, Martin H. and Paulignan, Yves and Delevoye-Turrell, Yvonne}, title = {A simple technique to study embodied language processes}, series = {Behavior research methods : a journal of the Psychonomic Society}, volume = {49}, journal = {Behavior research methods : a journal of the Psychonomic Society}, publisher = {Springer}, address = {New York}, issn = {1554-351X}, doi = {10.3758/s13428-015-0696-7}, pages = {61 -- 73}, year = {2017}, abstract = {Research in cognitive neuroscience has shown that brain structures serving perceptual, emotional, and motor processes are also recruited during the understanding of language when it refers to emotion, perception, and action. However, the exact linguistic and extralinguistic conditions under which such language-induced activity in modality-specific cortex is triggered are not yet well understood. The purpose of this study is to introduce a simple experimental technique that allows for the online measure of language-induced activity in motor structures of the brain. This technique consists in the use of a grip force sensor that captures subtle grip force variations while participants listen to words and sentences. Since grip force reflects activity in motor brain structures, the continuous monitoring of force fluctuations provides a fine-grained estimation of motor activity across time. In other terms, this method allows for both localization of the source of language-induced activity to motor brain structures and high temporal resolution of the recorded data. To facilitate comparison of the data to be collected with this tool, we present two experiments that describe in detail the technical setup, the nature of the recorded data, and the analyses (including justification about the data filtering and artifact rejection) that we applied. We also discuss how the tool could be used in other domains of behavioral research.}, language = {en} } @article{WiemersBekkeringLindemann2017, author = {Wiemers, Michael and Bekkering, Harold and Lindemann, Oliver}, title = {Two attributes of number meaning}, series = {Experimental Psychology}, volume = {64}, journal = {Experimental Psychology}, number = {4}, publisher = {Hogrefe}, address = {G{\"o}ttingen}, issn = {1618-3169}, doi = {10.1027/1618-3169/a000366}, pages = {253 -- 261}, year = {2017}, abstract = {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.}, language = {en} } @article{KrauseBekkeringPrattetal.2017, author = {Krause, Florian and Bekkering, Harold and Pratt, Jay and Lindemann, Oliver}, title = {Interaction between numbers and size during visual search}, series = {Psychological research : an international journal of perception, attention, memory, and action}, volume = {81}, journal = {Psychological research : an international journal of perception, attention, memory, and action}, publisher = {Springer}, address = {Heidelberg}, issn = {0340-0727}, doi = {10.1007/s00426-016-0771-4}, pages = {664 -- 677}, year = {2017}, abstract = {The current study investigates an interaction between numbers and physical size (i.e. size congruity) in visual search. In three experiments, participants had to detect a physically large (or small) target item among physically small (or large) distractors in a search task comprising single-digit numbers. The relative numerical size of the digits was varied, such that the target item was either among the numerically large or small numbers in the search display and the relation between numerical and physical size was either congruent or incongruent. Perceptual differences of the stimuli were controlled by a condition in which participants had to search for a differently coloured target item with the same physical size and by the usage of LCD-style numbers that were matched in visual similarity by shape transformations. The results of all three experiments consistently revealed that detecting a physically large target item is significantly faster when the numerical size of the target item is large as well (congruent), compared to when it is small (incongruent). This novel finding of a size congruity effect in visual search demonstrates an interaction between numerical and physical size in an experimental setting beyond typically used binary comparison tasks, and provides important new evidence for the notion of shared cognitive codes for numbers and sensorimotor magnitudes. Theoretical consequences for recent models on attention, magnitude representation and their interactions are discussed.}, language = {en} } @article{StapelHunniusBekkeringetal.2015, author = {Stapel, Janny C. and Hunnius, Sabine and Bekkering, Harold and Lindemann, Oliver}, title = {The development of numerosity estimation: Evidence for a linear number representation early in life}, series = {Journal of cognitive psychology}, volume = {27}, journal = {Journal of cognitive psychology}, number = {4}, publisher = {Routledge, Taylor \& Francis Group}, address = {Abingdon}, issn = {2044-5911}, doi = {10.1080/20445911.2014.995668}, pages = {400 -- 412}, year = {2015}, abstract = {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.}, language = {en} } @article{WiemersBekkeringLindemann2014, author = {Wiemers, Michael and Bekkering, Harold and Lindemann, Oliver}, title = {Spatial interferences in mental arithmetic: Evidence from the motion-arithmetic compatibility effect}, series = {The quarterly journal of experimental psychology}, volume = {67}, journal = {The quarterly journal of experimental psychology}, number = {8}, publisher = {Routledge, Taylor \& Francis Group}, address = {Abingdon}, issn = {1747-0218}, doi = {10.1080/17470218.2014.889180}, pages = {1557 -- 1570}, year = {2014}, abstract = {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.}, language = {en} } @article{KrauseLindemannTonietal.2014, author = {Krause, Florian and Lindemann, Oliver and Toni, Ivan and Bekkering, Harold}, title = {Different brains process Numbers differently: Structural bases of individual differences in spatial and nonspatial number representations}, series = {Journal of cognitive neuroscience}, volume = {26}, journal = {Journal of cognitive neuroscience}, number = {4}, publisher = {MIT Press}, address = {Cambridge}, issn = {0898-929X}, doi = {10.1162/jocn_a_00518}, pages = {768 -- 776}, year = {2014}, abstract = {A dominant hypothesis on how the brain processes numerical size proposes a spatial representation of numbers as positions on a "mental number line." An alternative hypothesis considers numbers as elements of a generalized representation of sensorimotor-related magnitude, which is not obligatorily spatial. Here we show that individuals' relative use of spatial and nonspatial representations has a cerebral counterpart in the structural organization of the posterior parietal cortex. Interindividual variability in the linkage between numbers and spatial responses (faster left responses to small numbers and right responses to large numbers; spatial-numerical association of response codes effect) correlated with variations in gray matter volume around the right precuneus. Conversely, differences in the disposition to link numbers to force production (faster soft responses to small numbers and hard responses to large numbers) were related to gray matter volume in the left angular gyrus. This finding suggests that numerical cognition relies on multiple mental representations of analogue magnitude using different neural implementations that are linked to individual traits.}, language = {en} } @article{KrauseLindemann2014, author = {Krause, Florian and Lindemann, Oliver}, title = {Expyriment: A Python library for cognitive and neuroscientific experiments}, series = {Behavior research methods : a journal of the Psychonomic Society}, volume = {46}, journal = {Behavior research methods : a journal of the Psychonomic Society}, number = {2}, publisher = {Springer}, address = {New York}, issn = {1554-351X}, doi = {10.3758/s13428-013-0390-6}, pages = {416 -- 428}, year = {2014}, abstract = {Expyriment is an open-source and platform-independent lightweight Python library for designing and conducting timing-critical behavioral and neuroimaging experiments. The major goal is to provide a well-structured Python library for script-based experiment development, with a high priority being the readability of the resulting program code. Expyriment has been tested extensively under Linux and Windows and is an all-in-one solution, as it handles stimulus presentation, the recording of input/output events, communication with other devices, and the collection and preprocessing of data. Furthermore, it offers a hierarchical design structure, which allows for an intuitive transition from the experimental design to a running program. It is therefore also suited for students, as well as for experimental psychologists and neuro-scientists with little programming experience.}, language = {en} }