TY - JOUR A1 - Winter, Bodo A1 - Matlock, Teenie A1 - Shaki, Samuel A1 - Fischer, Martin H. T1 - Mental number space in three dimensions JF - Neuroscience & biobehavioral reviews : official journal of the International Behavioral Neuroscience Society N2 - A large number of experimental findings from neuroscience and experimental psychology demonstrated interactions between spatial cognition and numerical cognition. In particular, many researchers posited a horizontal mental number line, where small numbers are thought of as being to the left of larger numbers. This review synthesizes work on the mental association between space and number, indicating the existence of multiple spatial mappings: recent research has found associations between number and vertical space, as well as associations between number and near/far space. We discuss number space in three dimensions with an eye on potential origins of the different number mappings, and how these number mappings fit in with our current knowledge of brain organization and brain-culture interactions. We derive novel predictions and show how this research fits into a general view of cognition as embodied, grounded and situated. (C) 2015 Elsevier Ltd. All rights reserved. KW - Embodiment KW - Intra-parietal sulcus KW - Mental number line KW - Metaphor KW - Neglect KW - Spatial cognition KW - SNARC Y1 - 2015 U6 - https://doi.org/10.1016/j.neubiorev.2015.09.005 SN - 0149-7634 SN - 1873-7528 VL - 57 SP - 209 EP - 219 PB - Elsevier CY - Oxford ER - TY - JOUR A1 - Wasner, Mirjam A1 - Möller, Korbinian A1 - Fischer, Martin H. A1 - Nuerk, Hans-Christoph T1 - Related but not the same: Ordinality, cardinality and 1-to-1 correspondence in finger-based numerical representations JF - Journal of cognitive psychology N2 - Finger-based numerical representations have gained increasing research interest. However, their description and assessment often refer to different numerical principles of ordinality, cardinality and 1-to-1 correspondence. Our aim was to investigate similarities and differences between these principles in finger-based numerical representations. Sixty-eight healthy adults performed ordinal finger counting, cardinal finger montring (showing the number of gestures) and finger-to-number mapping with twisted arms and fingers. We found that counting gestures and montring postures were identical for Number 10 but differed to varying degrees for other numbers. Interestingly, there was no systematic relation between finger-to-number mapping and ordinal finger counting habits. These data question the assumption of a unitary embodied finger-based numerical representation, but suggest that different finger-based representations co-exist and can be recruited flexibly depending on the numerical aspects to be conveyed. KW - Finger-based numerical representations KW - Finger counting KW - 1-to-1 Correspondence KW - Cardinality KW - Ordinality Y1 - 2015 U6 - https://doi.org/10.1080/20445911.2014.964719 SN - 2044-5911 SN - 2044-592X VL - 27 IS - 4 SP - 426 EP - 441 PB - Routledge, Taylor & Francis Group CY - Abingdon ER - TY - JOUR A1 - Sixtus, Elena A1 - Fischer, Martin H. T1 - Eine kognitionswissenschaftliche Betrachtung der Konzepte "Raum" und "Zahl" JF - Raum und Zahl im Fokus der Wissenschaften : eine multidisziplinäre Vorlesungsreihe Y1 - 2015 SN - 978-3-86464-082-7 SP - 35 EP - 62 PB - Trafo CY - Berlin ER - TY - JOUR A1 - Shaki, Samuel A1 - Sery, Noa A1 - Fischer, Martin H. T1 - 1 + 2 is more than 2 + 1: Violations of commutativity and identity axioms in mental arithmetic JF - Journal of cognitive psychology N2 - Over the past decade or so, a large number of studies have revealed that conceptual meaning is sensitive to situational context. More recently, similar contextual influences have been documented in the domain of number knowledge. Here we show such context dependency in a length production task. Adult participants saw single digit addition problems of the form n1 + n2 and produced the sum by changing bi-directionally the length of a horizontally extended line, using radially arranged buttons. We found that longer lines were produced when n1 < n2 compared to n1 > n2 and that unit size increased with result size. Thus, the mathematical axioms of commutativity and identity do not seem to hold in mental addition. We discuss implications of these observations for our understanding of cognitive mechanisms involved in mental arithmetic and for situated cognition generally. KW - Operand order effect KW - Situated cognition KW - Mental number line KW - SNARC KW - Operational momentum Y1 - 2015 U6 - https://doi.org/10.1080/20445911.2014.973414 SN - 2044-5911 SN - 2044-592X VL - 27 IS - 4 SP - 471 EP - 477 PB - Routledge, Taylor & Francis Group CY - Abingdon ER - TY - INPR A1 - Shaki, Samuel A1 - Fischer, Martin H. T1 - Newborn chicks need no number tricks. Commentary: Number-space mapping in the newborn chick resembles humans' mental number line T2 - Frontiers in human neuroscienc KW - mental number line KW - innate number sense KW - numerical cognition KW - spatial cognition KW - spatial numerical associations Y1 - 2015 U6 - https://doi.org/10.3389/fnhum.2015.00451 SN - 1662-5161 VL - 9 PB - Frontiers Research Foundation CY - Lausanne ER - TY - GEN A1 - Shaki, Samuel A1 - Fischer, Martin H. T1 - Newborn chicks need no number tricks BT - Commentary: Number-space mapping in the newborn chick resembles humans' mental number line T2 - Postprints der Universität Potsdam : Humanwissenschaftliche Reihe N2 - kein Abstract T3 - Zweitveröffentlichungen der Universität Potsdam : Humanwissenschaftliche Reihe - 414 KW - mental number line KW - innate number sense KW - numerical cognition KW - spatial cognition KW - spatial numerical associations Y1 - 2018 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-406425 IS - 414 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 - TY - JOUR A1 - Myachykov, Andriy A1 - Cangelosi, Angelo A1 - Ellis, Rob A1 - Fischer, Martin H. T1 - The oculomotor resonance effect in spatial-numerical mapping JF - Acta psychologica : international journal of psychonomics N2 - We investigated automatic Spatial-Numerical Association of Response Codes (SNARC) effect in auditory number processing. Two experiments continually measured spatial characteristics of ocular drift at central fixation during and after auditory number presentation. Consistent with the notion of a spatially oriented mental number line, we found spontaneous magnitude-dependent gaze adjustments, both with and without a concurrent saccadic task. This fixation adjustment (1) had a small-number/left-lateralized bias and (2) it was biphasic as it emerged for a short time around the point of lexical access and it received later robust representation around following number onset. This pattern suggests a two-step mechanism of sensorimotor mapping between numbers and space a first-pass bottom-up activation followed by a top-down and more robust horizontal SNARC Our results inform theories of number processing as well as simulation-based approaches to cognition by identifying the characteristics of an oculomotor resonance phenomenon. (C) 2015 Elsevier B.V. All rights reserved. KW - Attention KW - Embodied cognition KW - Eye movements KW - Oculomotor resonance KW - Ocular drift KW - SNARC Y1 - 2015 U6 - https://doi.org/10.1016/j.actpsy.2015.09.006 SN - 0001-6918 SN - 1873-6297 VL - 161 SP - 162 EP - 169 PB - Elsevier CY - Amsterdam ER - TY - JOUR A1 - Lobmaier, Janek S. A1 - Fischer, Martin H. T1 - Facial Feedback Affects Perceived Intensity but Not Quality of Emotional Expressions JF - Brain Sciences N2 - Motivated by conflicting evidence in the literature, we re-assessed the role of facial feedback when detecting quantitative or qualitative changes in others’ emotional expressions. Fifty-three healthy adults observed self-paced morph sequences where the emotional facial expression either changed quantitatively (i.e., sad-to-neutral, neutral-to-sad, happy-to-neutral, neutral-to-happy) or qualitatively (i.e. from sad to happy, or from happy to sad). Observers held a pen in their own mouth to induce smiling or frowning during the detection task. When morph sequences started or ended with neutral expressions we replicated a congruency effect: Happiness was perceived longer and sooner while smiling; sadness was perceived longer and sooner while frowning. Interestingly, no such congruency effects occurred for transitions between emotional expressions. These results suggest that facial feedback is especially useful when evaluating the intensity of a facial expression, but less so when we have to recognize which emotion our counterpart is expressing. KW - embodied cognition KW - emotional expression KW - emotion recognition KW - facial feedback KW - face morphing Y1 - 2015 U6 - https://doi.org/10.3390/brainsci5030357 SN - 2076-3425 VL - 5 IS - 3 SP - 357 EP - 368 PB - MDPI AG CY - Basel ER - TY - GEN A1 - Lobmaier, Janek S. A1 - Fischer, Martin H. T1 - Facial Feedback Affects Perceived Intensity but Not Quality of Emotional Expressions N2 - Motivated by conflicting evidence in the literature, we re-assessed the role of facial feedback when detecting quantitative or qualitative changes in others’ emotional expressions. Fifty-three healthy adults observed self-paced morph sequences where the emotional facial expression either changed quantitatively (i.e., sad-to-neutral, neutral-to-sad, happy-to-neutral, neutral-to-happy) or qualitatively (i.e. from sad to happy, or from happy to sad). Observers held a pen in their own mouth to induce smiling or frowning during the detection task. When morph sequences started or ended with neutral expressions we replicated a congruency effect: Happiness was perceived longer and sooner while smiling; sadness was perceived longer and sooner while frowning. Interestingly, no such congruency effects occurred for transitions between emotional expressions. These results suggest that facial feedback is especially useful when evaluating the intensity of a facial expression, but less so when we have to recognize which emotion our counterpart is expressing. T3 - Zweitveröffentlichungen der Universität Potsdam : Humanwissenschaftliche Reihe - 302 KW - embodied cognition KW - emotional expression KW - emotion recognition KW - facial feedback KW - face morphing Y1 - 2015 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-96428 SP - 357 EP - 368 ER - TY - INPR A1 - Lindemann, Oliver A1 - Fischer, Martin H. T1 - Embodied number processing T2 - Journal of cognitive psychology Y1 - 2015 U6 - https://doi.org/10.1080/20445911.2015.1032295 SN - 2044-5911 SN - 2044-592X VL - 27 IS - 4 SP - 381 EP - 387 PB - Routledge, Taylor & Francis Group CY - Abingdon ER - TY - JOUR A1 - Knudsen, Birgit A1 - Fischer, Martin H. A1 - Aschersleben, Gisa T1 - Development of spatial preferences for counting and picture naming JF - Psychological research : an international journal of perception, attention, memory, and action N2 - The direction of object enumeration reflects children's enculturation but previous work on the development of such spatial preferences has been inconsistent. Therefore, we documented directional preferences in finger counting, object counting, and picture naming for children (4 groups from 3 to 6 years, N = 104) and adults (N = 56). We found a right-side preference for finger counting in 3- to 6-year-olds and a left-side preference for counting objects and naming pictures by 6 years of age. Children were consistent in their special preferences when comparing object counting and picture naming, but not in other task pairings. Finally, spatial preferences were not related to cardinality comprehension. These results, together with other recent work, suggest a gradual development of spatial-numerical associations from early non-directional mappings into culturally constrained directional mappings. Y1 - 2015 U6 - https://doi.org/10.1007/s00426-014-0623-z SN - 0340-0727 SN - 1430-2772 VL - 79 IS - 6 SP - 939 EP - 949 PB - Springer CY - Heidelberg ER - TY - GEN A1 - Hartmann, Matthias A1 - Mast, Fred W. A1 - Fischer, Martin H. T1 - Spatial biases during mental arithmetic BT - evidence from eye movements on a blank screen T2 - Postprints der Universität Potsdam : Humanwissenschaftliche Reihe N2 - While the influence of spatial-numerical associations in number categorization tasks has been well established, their role in mental arithmetic is less clear. It has been hypothesized that mental addition leads to rightward and upward shifts of spatial attention (along the "mental number line"), whereas subtraction leads to leftward and downward shifts. We addressed this hypothesis by analyzing spontaneous eye movements during mental arithmetic. Participants solved verbally presented arithmetic problems (e.g., 2 + 7, 8-3) aloud while looking at a blank screen. We found that eye movements reflected spatial biases in the ongoing mental operation: Gaze position shifted more upward when participants solved addition compared to subtraction problems, and the horizontal gaze position was partly determined by the magnitude of the operands. Interestingly, the difference between addition and subtraction trials was driven by the operator (plus vs. minus) but was not influenced by the computational process. Thus, our results do not support the idea of a mental movement toward the solution during arithmetic but indicate a semantic association between operation and space. T3 - Zweitveröffentlichungen der Universität Potsdam : Humanwissenschaftliche Reihe - 426 KW - mental arithmetic KW - eye movements KW - mental number line KW - operational momentum KW - embodied cognition KW - grounded cognition Y1 - 2018 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-406504 IS - 426 ER - TY - JOUR A1 - Hartmann, Matthias A1 - Mast, Fred W. A1 - Fischer, Martin H. T1 - Spatial biases during mental arithmetic: evidence from eye movements on a blank screen JF - Frontiers in psychology N2 - While the influence of spatial-numerical associations in number categorization tasks has been well established, their role in mental arithmetic is less clear. It has been hypothesized that mental addition leads to rightward and upward shifts of spatial attention (along the "mental number line"), whereas subtraction leads to leftward and downward shifts. We addressed this hypothesis by analyzing spontaneous eye movements during mental arithmetic. Participants solved verbally presented arithmetic problems (e.g., 2 + 7, 8-3) aloud while looking at a blank screen. We found that eye movements reflected spatial biases in the ongoing mental operation: Gaze position shifted more upward when participants solved addition compared to subtraction problems, and the horizontal gaze position was partly determined by the magnitude of the operands. Interestingly, the difference between addition and subtraction trials was driven by the operator (plus vs. minus) but was not influenced by the computational process. Thus, our results do not support the idea of a mental movement toward the solution during arithmetic but indicate a semantic association between operation and space. KW - mental arithmetic KW - eye movements KW - mental number line KW - operational momentum KW - embodied cognition KW - grounded cognition Y1 - 2015 U6 - https://doi.org/10.3389/fpsyg.2015.00012 SN - 1664-1078 VL - 6 PB - Frontiers Research Foundation CY - Lausanne ER - TY - BOOK A1 - Günther, Oliver A1 - Petsche, Hans-Joachim A1 - Fischer, Martin H. A1 - Franz, Norbert P. A1 - Steup, Martin A1 - Sixtus, Elena A1 - Heimann, Heinz-Dieter A1 - Pröve, Ralf ED - Petsche, Hans-Joachim T1 - Raum und Zahl im Fokus der Wissenschaften BT - eine multidisziplinäre Vorlesungsreihe T3 - Studieren ++ : Konzepte, Perspektiven, Kompetenzen ; 1 N2 - Die nun begonnene Reihe „studieren++“ resultiert aus einer von der Universität Potsdam angebotenen Vorlesungsreihe. Das Besondere an dieser Vorlesungsreihe ist der multidisziplinäre Anspruch und die konsequent umgesetzte Zusammenarbeit über Disziplingrenzen hinweg. Die nicht nur über Instituts-, sondern über Fakultätsgrenzen praktizierte Interdisziplinarität erlaubt die Betrachtung eines Problems oder Sachverhalts aus unterschiedlichen Blickwinkeln. Wissenschaftliche Fragestellungen sind komplex und nicht immer auf eine Disziplin beschränkt. Sie in ihrer Gänze erfassen und nachhaltige Lösungsstrategien oder Konzepte entwickeln zu können gelingt oft nur durch eine multidisziplinäre Kooperation. Eine Lehrveranstaltung wie die vorliegende ist nicht nur für die Studierenden einer Universität eine hervorragende Möglichkeit, um über die Grenzen der eigenen Disziplin hinaus zu blicken und die Zusammenarbeit mit Wissenschaftlerinnen und Wissenschaftlern aus anderen Bereichen zu pflegen. So lernt man, sich in andere Sichtweisen hineinzuversetzen und sich zwischen den Disziplinen zu bewegen – eine Kompetenz, die in der hochkomplexen Arbeitswelt von heute von hohem Nutzen ist. Der vorliegende erste Band der Reihe hat „Raum und Zahl“ zum Thema und ist aus einer Ringvorlesung aus dem Wintersemester 2013/2014 entstanden. Drei der fünf Fakultäten, insgesamt neun Institute der Universität Potsdam, haben sich an der Vorlesung beteiligt und sich dieses spannenden Themas angenommen. Als jemand, der sich jahrelang wissenschaftlich mit algorithmischer Geometrie sowie mit raumbezogenen Datenbanken und Navigationssystemen beschäftigt hat, kann ich nur bekräftigen, dass die Bezüge zwischen Raum und Zahl, zwischen Räumen und Zahlen, noch viel stärker im öffentlichen Bewusstsein verankert gehören. Räume auch quantitativ zu erfassen und zu verstehen ist eine Kulturtechnik, die an Wichtigkeit eher noch zunimmt, vor allem vor dem Hintergrund, dass wir genetisch nicht allzu gut auf derartige Herausforderungen vorbereitet sind. Denn viele unserer einschlägigen Gene entstammen noch aus der Zeit der Savanne, einer Zeit, zu der das Raumkonzept sich fast ausschließlich auf die unmittelbare räumliche Umgebung bezog und Zahlen jenseits von 10 nur wenig Relevanz für das eigene Überleben hatten. Als Präsident der Universität Potsdam freut es mich ganz besonders, dass sich die hier vertretenen Wissenschaftler bereit erklärt haben, ihre Überlegungen mit den Studierenden und ihren Kolleginnen und Kollegen zu teilen. Herrn Kollegen Hans-Joachim Petsche möchte ich für sein Engagement danken und ihm zu dieser gelungenen Reihe gratulieren. Der Geist der Wissenschaft, der nicht nur einsam im Büro oder Labor gelebt wird, sondern gerade an einer Universität auch aktiv nach außen getragen werden sollte, wird hier in besonderer Weise sichtbar. Ich wünsche Ihnen viel Freude bei der Lektüre des Bandes und freue mich auf weitere Veröffentlichungen in dieser Reihe. KW - Raum KW - Zahl KW - Aufsatzsammlung Y1 - 2015 SN - 978-3-86464-082-7 PB - Trafo CY - Berlin ER - TY - GEN A1 - Fischer, Martin H. A1 - Sixtus, Elena A1 - Göbel, Silke M. T1 - Commentary BT - a pointer about grasping numbers T2 - Postprints der Universität Potsdam : Humanwissenschaftliche Reihe N2 - kein Abstract vorhanden T3 - Zweitveröffentlichungen der Universität Potsdam : Humanwissenschaftliche Reihe - 420 KW - numerical cognition KW - embodied cognition KW - gestures KW - numeracy training KW - mathematical cognition Y1 - 2018 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-406260 IS - 420 ER - TY - INPR A1 - Fischer, Martin H. A1 - Sixtus, Elena A1 - Göbel, Silke M. T1 - Commentary: A pointer about grasping numbers T2 - Frontiers in psychology KW - numerical cognition KW - embodied cognition KW - gestures KW - numeracy training KW - mathematical cognition Y1 - 2015 U6 - https://doi.org/10.3389/fpsyg.2015.00227 VL - 6 PB - Frontiers Research Foundation CY - Lausanne ER - TY - INPR A1 - Fischer, Martin H. A1 - Shaki, Samuel T1 - Two steps to space for numbers T2 - Frontiers in psychology KW - spatial-nunmerical association KW - SNARC KW - mental number line KW - numerical cognition KW - spatial cognition Y1 - 2015 U6 - https://doi.org/10.3389/fpsyg.2015.00612 SN - 1664-1078 VL - 6 PB - Frontiers Research Foundation CY - Lausanne ER - TY - GEN A1 - Fischer, Martin H. A1 - Shaki, Samuel T1 - Two steps to space for numbers T2 - Postprints der Universität Potsdam : Humanwissenschaftliche Reihe T3 - Zweitveröffentlichungen der Universität Potsdam : Humanwissenschaftliche Reihe - 412 KW - spatial-nunmerical association KW - SNARC KW - mental number line KW - numerical cognition KW - spatial cognition Y1 - 2018 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-406522 IS - 412 ER -