@unpublished{FischerShaki2015, author = {Fischer, Martin H. and Shaki, Samuel}, title = {Two steps to space for numbers}, series = {Frontiers in psychology}, volume = {6}, journal = {Frontiers in psychology}, publisher = {Frontiers Research Foundation}, address = {Lausanne}, issn = {1664-1078}, doi = {10.3389/fpsyg.2015.00612}, pages = {3}, year = {2015}, language = {en} } @misc{FischerShaki2015, author = {Fischer, Martin H. and Shaki, Samuel}, title = {Two steps to space for numbers}, series = {Postprints der Universit{\"a}t Potsdam : Humanwissenschaftliche Reihe}, journal = {Postprints der Universit{\"a}t Potsdam : Humanwissenschaftliche Reihe}, number = {412}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-406522}, pages = {3}, year = {2015}, language = {en} } @article{MyachykovCangelosiEllisetal.2015, author = {Myachykov, Andriy and Cangelosi, Angelo and Ellis, Rob and Fischer, Martin H.}, title = {The oculomotor resonance effect in spatial-numerical mapping}, series = {Acta psychologica : international journal of psychonomics}, volume = {161}, journal = {Acta psychologica : international journal of psychonomics}, publisher = {Elsevier}, address = {Amsterdam}, issn = {0001-6918}, doi = {10.1016/j.actpsy.2015.09.006}, pages = {162 -- 169}, year = {2015}, abstract = {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.}, language = {en} } @article{HartmannMastFischer2015, author = {Hartmann, Matthias and Mast, Fred W. and Fischer, Martin H.}, title = {Spatial biases during mental arithmetic: evidence from eye movements on a blank screen}, series = {Frontiers in psychology}, volume = {6}, journal = {Frontiers in psychology}, publisher = {Frontiers Research Foundation}, address = {Lausanne}, issn = {1664-1078}, doi = {10.3389/fpsyg.2015.00012}, pages = {8}, year = {2015}, abstract = {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.}, language = {en} } @misc{HartmannMastFischer2015, author = {Hartmann, Matthias and Mast, Fred W. and Fischer, Martin H.}, title = {Spatial biases during mental arithmetic}, series = {Postprints der Universit{\"a}t Potsdam : Humanwissenschaftliche Reihe}, journal = {Postprints der Universit{\"a}t Potsdam : Humanwissenschaftliche Reihe}, number = {426}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-406504}, pages = {8}, year = {2015}, abstract = {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.}, language = {en} } @article{WasnerMoellerFischeretal.2015, author = {Wasner, Mirjam and M{\"o}ller, Korbinian and Fischer, Martin H. and Nuerk, Hans-Christoph}, title = {Related but not the same: Ordinality, cardinality and 1-to-1 correspondence in finger-based numerical representations}, 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 = {10.1080/20445911.2014.964719}, pages = {426 -- 441}, year = {2015}, abstract = {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.}, language = {en} } @book{GuentherPetscheFischeretal.2015, author = {G{\"u}nther, Oliver and Petsche, Hans-Joachim and Fischer, Martin H. and Franz, Norbert P. and Steup, Martin and Sixtus, Elena and Heimann, Heinz-Dieter and Pr{\"o}ve, Ralf}, title = {Raum und Zahl im Fokus der Wissenschaften}, series = {Studieren ++ : Konzepte, Perspektiven, Kompetenzen ; 1}, journal = {Studieren ++ : Konzepte, Perspektiven, Kompetenzen ; 1}, editor = {Petsche, Hans-Joachim}, publisher = {Trafo}, address = {Berlin}, isbn = {978-3-86464-082-7}, pages = {168}, year = {2015}, abstract = {Die nun begonnene Reihe „studieren++" resultiert aus einer von der Universit{\"a}t Potsdam angebotenen Vorlesungsreihe. Das Besondere an dieser Vorlesungsreihe ist der multidisziplin{\"a}re Anspruch und die konsequent umgesetzte Zusammenarbeit {\"u}ber Disziplingrenzen hinweg. Die nicht nur {\"u}ber Instituts-, sondern {\"u}ber Fakult{\"a}tsgrenzen praktizierte Interdisziplinarit{\"a}t erlaubt die Betrachtung eines Problems oder Sachverhalts aus unterschiedlichen Blickwinkeln. Wissenschaftliche Fragestellungen sind komplex und nicht immer auf eine Disziplin beschr{\"a}nkt. Sie in ihrer G{\"a}nze erfassen und nachhaltige L{\"o}sungsstrategien oder Konzepte entwickeln zu k{\"o}nnen gelingt oft nur durch eine multidisziplin{\"a}re Kooperation. Eine Lehrveranstaltung wie die vorliegende ist nicht nur f{\"u}r die Studierenden einer Universit{\"a}t eine hervorragende M{\"o}glichkeit, um {\"u}ber 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 f{\"u}nf Fakult{\"a}ten, insgesamt neun Institute der Universit{\"a}t 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 besch{\"a}ftigt hat, kann ich nur bekr{\"a}ftigen, dass die Bez{\"u}ge zwischen Raum und Zahl, zwischen R{\"a}umen und Zahlen, noch viel st{\"a}rker im {\"o}ffentlichen Bewusstsein verankert geh{\"o}ren. R{\"a}ume 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 einschl{\"a}gigen Gene entstammen noch aus der Zeit der Savanne, einer Zeit, zu der das Raumkonzept sich fast ausschließlich auf die unmittelbare r{\"a}umliche Umgebung bezog und Zahlen jenseits von 10 nur wenig Relevanz f{\"u}r das eigene {\"U}berleben hatten. Als Pr{\"a}sident der Universit{\"a}t Potsdam freut es mich ganz besonders, dass sich die hier vertretenen Wissenschaftler bereit erkl{\"a}rt haben, ihre {\"U}berlegungen mit den Studierenden und ihren Kolleginnen und Kollegen zu teilen. Herrn Kollegen Hans-Joachim Petsche m{\"o}chte ich f{\"u}r sein Engagement danken und ihm zu dieser gelungenen Reihe gratulieren. Der Geist der Wissenschaft, der nicht nur einsam im B{\"u}ro oder Labor gelebt wird, sondern gerade an einer Universit{\"a}t auch aktiv nach außen getragen werden sollte, wird hier in besonderer Weise sichtbar. Ich w{\"u}nsche Ihnen viel Freude bei der Lekt{\"u}re des Bandes und freue mich auf weitere Ver{\"o}ffentlichungen in dieser Reihe.}, subject = {Raum}, language = {de} } @unpublished{ShakiFischer2015, author = {Shaki, Samuel and Fischer, Martin H.}, title = {Newborn chicks need no number tricks. Commentary: Number-space mapping in the newborn chick resembles humans' mental number line}, series = {Frontiers in human neuroscienc}, volume = {9}, journal = {Frontiers in human neuroscienc}, publisher = {Frontiers Research Foundation}, address = {Lausanne}, issn = {1662-5161}, doi = {10.3389/fnhum.2015.00451}, pages = {3}, year = {2015}, language = {en} } @misc{ShakiFischer2015, author = {Shaki, Samuel and Fischer, Martin H.}, title = {Newborn chicks need no number tricks}, series = {Postprints der Universit{\"a}t Potsdam : Humanwissenschaftliche Reihe}, journal = {Postprints der Universit{\"a}t Potsdam : Humanwissenschaftliche Reihe}, number = {414}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-406425}, pages = {3}, year = {2015}, abstract = {kein Abstract}, language = {en} } @misc{WinterMatlockShakietal.2015, author = {Winter, Bodo and Matlock, Teenie and Shaki, Samuel and Fischer, Martin H.}, title = {Mental number space in three dimensions}, series = {Neuroscience \& biobehavioral reviews : official journal of the International Behavioral Neuroscience Society}, volume = {57}, journal = {Neuroscience \& biobehavioral reviews : official journal of the International Behavioral Neuroscience Society}, publisher = {Elsevier}, address = {Oxford}, issn = {0149-7634}, doi = {10.1016/j.neubiorev.2015.09.005}, pages = {209 -- 219}, year = {2015}, abstract = {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.}, language = {en} } @article{LobmaierFischer2015, author = {Lobmaier, Janek S. and Fischer, Martin H.}, title = {Facial Feedback Affects Perceived Intensity but Not Quality of Emotional Expressions}, series = {Brain Sciences}, volume = {5}, journal = {Brain Sciences}, number = {3}, publisher = {MDPI AG}, address = {Basel}, issn = {2076-3425}, doi = {10.3390/brainsci5030357}, pages = {357 -- 368}, year = {2015}, abstract = {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.}, language = {en} } @misc{LobmaierFischer2015, author = {Lobmaier, Janek S. and Fischer, Martin H.}, title = {Facial Feedback Affects Perceived Intensity but Not Quality of Emotional Expressions}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-96428}, pages = {357 -- 368}, year = {2015}, abstract = {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.}, language = {en} } @unpublished{LindemannFischer2015, author = {Lindemann, Oliver and Fischer, Martin H.}, title = {Embodied number processing}, 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 = {10.1080/20445911.2015.1032295}, pages = {381 -- 387}, year = {2015}, language = {en} } @article{SixtusFischer2015, author = {Sixtus, Elena and Fischer, Martin H.}, title = {Eine kognitionswissenschaftliche Betrachtung der Konzepte "Raum" und "Zahl"}, series = {Raum und Zahl im Fokus der Wissenschaften : eine multidisziplin{\"a}re Vorlesungsreihe}, journal = {Raum und Zahl im Fokus der Wissenschaften : eine multidisziplin{\"a}re Vorlesungsreihe}, publisher = {Trafo}, address = {Berlin}, isbn = {978-3-86464-082-7}, pages = {35 -- 62}, year = {2015}, language = {de} } @article{KnudsenFischerAschersleben2015, author = {Knudsen, Birgit and Fischer, Martin H. and Aschersleben, Gisa}, title = {Development of spatial preferences for counting and picture naming}, series = {Psychological research : an international journal of perception, attention, memory, and action}, volume = {79}, journal = {Psychological research : an international journal of perception, attention, memory, and action}, number = {6}, publisher = {Springer}, address = {Heidelberg}, issn = {0340-0727}, doi = {10.1007/s00426-014-0623-z}, pages = {939 -- 949}, year = {2015}, abstract = {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.}, language = {en} } @unpublished{FischerSixtusGoebel2015, author = {Fischer, Martin H. and Sixtus, Elena and G{\"o}bel, Silke M.}, title = {Commentary: A pointer about grasping numbers}, series = {Frontiers in psychology}, volume = {6}, journal = {Frontiers in psychology}, publisher = {Frontiers Research Foundation}, address = {Lausanne}, doi = {10.3389/fpsyg.2015.00227}, pages = {3}, year = {2015}, language = {en} } @misc{FischerSixtusGoebel2015, author = {Fischer, Martin H. and Sixtus, Elena and G{\"o}bel, Silke M.}, title = {Commentary}, series = {Postprints der Universit{\"a}t Potsdam : Humanwissenschaftliche Reihe}, journal = {Postprints der Universit{\"a}t Potsdam : Humanwissenschaftliche Reihe}, number = {420}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-406260}, pages = {3}, year = {2015}, abstract = {kein Abstract vorhanden}, language = {en} } @article{PinhasShakiFischer2015, author = {Pinhas, Michal and Shaki, Samuel and Fischer, Martin H.}, title = {Addition goes where the big numbers are: evidence for a reversed operational momentum effect}, series = {Psychonomic bulletin \& review : a journal of the Psychonomic Society}, volume = {22}, journal = {Psychonomic bulletin \& review : a journal of the Psychonomic Society}, number = {4}, publisher = {Springer}, address = {New York}, issn = {1069-9384}, doi = {10.3758/s13423-014-0786-z}, pages = {993 -- 1000}, year = {2015}, abstract = {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.}, language = {en} } @article{ShakiSeryFischer2015, author = {Shaki, Samuel and Sery, Noa and Fischer, Martin H.}, title = {1 + 2 is more than 2 + 1: Violations of commutativity and identity axioms in mental arithmetic}, 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 = {10.1080/20445911.2014.973414}, pages = {471 -- 477}, year = {2015}, abstract = {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.}, language = {en} }