@article{WoodShakiFischer2021, author = {Wood, Danielle and Shaki, Samuel and Fischer, Martin H.}, title = {Turn the beat around: Commentary on "Slow and fast beat sequences are represented differently through space" (De Tommaso \& Prpic, 2020, in Attention, Perception, \& Psychophysics)}, series = {Attention, perception, \& psychophysics : AP\&P ; a journal of the Psychonomic Society, Inc.}, volume = {83}, journal = {Attention, perception, \& psychophysics : AP\&P ; a journal of the Psychonomic Society, Inc.}, number = {4}, publisher = {Springer}, address = {New York}, issn = {1943-3921}, doi = {10.3758/s13414-021-02247-8}, pages = {1518 -- 1521}, year = {2021}, abstract = {There has been increasing interest in the spatial mapping of various perceptual and cognitive magnitudes, such as expanding the spatial-numerical association of response codes (SNARC) effect into domains outside of numerical cognition. Recently, De Tommaso and Prpic (Attention, Perception, \& Psychophysics, 82, 2765-2773, 2020) reported in this journal that only fast tempos over 104 beats per minute have spatial associations, with more right-sided associations and faster responses for faster tempos. After discussing the role of perceived loudness and possible response strategies, we propose and recommend methodological improvements for further research.}, 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} } @article{ShakiFischerGoebel2012, author = {Shaki, Samuel and Fischer, Martin H. and Goebel, Silke M.}, title = {Direction counts A comparative study of spatially directional counting biases in cultures with different reading directions}, series = {Journal of experimental child psychology}, volume = {112}, journal = {Journal of experimental child psychology}, number = {2}, publisher = {Elsevier}, address = {San Diego}, issn = {0022-0965}, doi = {10.1016/j.jecp.2011.12.005}, pages = {275 -- 281}, year = {2012}, abstract = {Western adults associate small numbers with left space and large numbers with right space. Where does this pervasive spatial-numerical association come from? In this study, we first recorded directional counting preferences in adults with different reading experiences (left to right, right to left, mixed, and illiterate) and observed a clear relationship between reading and counting directions. We then recorded directional counting preferences in pre-schoolers and elementary school children from three of these reading cultures (left to right, right to left, and mixed). Culture-specific counting biases existed before reading acquisition in children as young as 3 years and were subsequently modified by early reading experience. Together, our results suggest that both directional counting and scanning activities contribute to number-space associations.}, language = {en} } @article{ShakiFischer2018, author = {Shaki, Samuel and Fischer, Martin H.}, title = {Deconstructing spatial-numerical associations}, series = {Cognition : international journal of cognitive science}, volume = {175}, journal = {Cognition : international journal of cognitive science}, publisher = {Elsevier}, address = {Amsterdam}, issn = {0010-0277}, doi = {10.1016/j.cognition.2018.02.022}, pages = {109 -- 113}, year = {2018}, abstract = {Spatial-numerical associations (SNAs) have been studied extensively in the past two decades, always requiring either explicit magnitude processing or explicit spatial-directional processing. This means that the typical finding of an association of small numbers with left or bottom space and of larger numbers with right or top space could be due to these requirements and not the conceptual representation of numbers. The present study compares explicit and implicit magnitude processing in an implicit spatial-directional task and identifies SNAs as artefacts of either explicit magnitude processing or explicit spatial-directional processing; they do not reveal spatial conceptual links. This finding requires revision of current accounts of the relationship between numbers and space.}, language = {en} } @article{ShakiFischer2013, author = {Shaki, Samuel and Fischer, Martin H.}, title = {Your neighbors define your value a study of spatial bias in number comparison}, series = {Acta psychologica : international journal of psychonomics}, volume = {142}, journal = {Acta psychologica : international journal of psychonomics}, number = {3}, publisher = {Elsevier}, address = {Amsterdam}, issn = {0001-6918}, doi = {10.1016/j.actpsy.2013.01.004}, pages = {308 -- 313}, year = {2013}, abstract = {Several chronometric biases in numerical cognition have informed our understanding of a mental number line (MNL). Complementing this approach, we investigated spatial performance in a magnitude comparison task. Participants located the larger or smaller number of a pair on a horizontal line representing the interval from 0 to 10. Experiments 1 and 2 used only number pairs one unit apart and found that digits were localized farther to the right with "select larger" instructions than with "select smaller" instructions. However, when numerical distance was varied (Experiment 3), digits were localized away from numerically near neighbors. This repulsion effect reveals context-specific distortions in number representation not previously noticed with chronometric measures.}, language = {en} } @article{ShakiFischer2012, author = {Shaki, Samuel and Fischer, Martin H.}, title = {Multiple spatial mappings in numerical cognition}, series = {Journal of experimental psychology : Human perception and performance}, volume = {38}, journal = {Journal of experimental psychology : Human perception and performance}, number = {3}, publisher = {American Psychological Association}, address = {Washington}, issn = {0096-1523}, doi = {10.1037/a0027562}, pages = {804 -- 809}, year = {2012}, abstract = {A recent cross-cultural comparison (Shaki, Fischer, \& Petrusic, 2009) suggested that spatially consistent processing habits for words and numbers are a necessary condition for the spatial representation of numbers (Spatial-Numerical Association of Response Codes; SNARC effect). Here we reexamine the SNARC in Israelis who read text from right to left but numbers from left to right. We show that, despite these spatially inconsistent processing habits, a SNARC effect still emerges when the response dimension is spatially orthogonal to the conflicting processing dimension. These results clarify the cognitive conditions for spatial-numerical mappings.}, language = {en} } @article{ShakiFischer2014, author = {Shaki, Samuel and Fischer, Martin H.}, title = {Random walks on the mental number line}, series = {Experimental brain research}, volume = {232}, journal = {Experimental brain research}, number = {1}, publisher = {Springer}, address = {New York}, issn = {0014-4819}, doi = {10.1007/s00221-013-3718-7}, pages = {43 -- 49}, year = {2014}, language = {en} } @article{ShakiFischer2020, author = {Shaki, Samuel and Fischer, Martin H.}, title = {Systematic spatial distortion of quantitative estimates}, series = {Psychological research}, volume = {85}, journal = {Psychological research}, number = {6}, publisher = {Springer}, address = {Heidelberg}, issn = {0340-0727}, doi = {10.1007/s00426-020-01390-5}, pages = {2177 -- 2185}, year = {2020}, abstract = {Magnitude estimation has been studied since the beginnings of scientific psychology and constitutes a fundamental aspect of human behavior. Yet, it has apparently never been noticed that estimates depend on the spatial arrangement used. We tested 167 adults in three experiments to show that the spatial layout of stimuli and responses systematically distorts number estimation, length production, and weight reproduction performance. The direction of distortion depends on the observer's counting habits, but does not seem to reflect the use of spatially associated number concepts. Our results imply that all quantitative estimates are contaminated by a "spell of space" whenever stimuli or responses are spatially distributed.}, language = {en} } @article{ShakiFischer2020, author = {Shaki, Samuel and Fischer, Martin H.}, title = {Nothing to dance about: unclear evidence for symbolic representations and numerical competence in honeybees}, series = {Proceedings of the Royal Society of London : B, Biological sciences}, volume = {287}, journal = {Proceedings of the Royal Society of London : B, Biological sciences}, number = {1925}, publisher = {Royal Society}, address = {London}, issn = {0962-8452}, doi = {10.1098/rspb.2019.2840}, pages = {2}, year = {2020}, language = {en} } @article{PinhasShakiFischer2014, author = {Pinhas, Michal and Shaki, Samuel and Fischer, Martin H.}, title = {Heed the signs: Operation signs have spatial associations}, 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 = {10.1080/17470218.2014.892516}, pages = {1527 -- 1540}, year = {2014}, abstract = {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.}, language = {en} }