@article{D'AscenzoFischerShakietal.2022, author = {D'Ascenzo, Stefania and Fischer, Martin H. and Shaki, Samuel and Lugli, Luisa}, title = {Number to me, space to you}, series = {Psychonomic bulletin \& review : a journal of the Psychonomic Society}, volume = {29}, journal = {Psychonomic bulletin \& review : a journal of the Psychonomic Society}, number = {2}, publisher = {Springer}, address = {New York}, issn = {1069-9384}, doi = {10.3758/s13423-021-02013-9}, pages = {485 -- 491}, year = {2022}, abstract = {Recent work has shown that number concepts activate both spatial and magnitude representations. According to the social co-representation literature which has shown that participants typically represent task components assigned to others together with their own, we asked whether explicit magnitude meaning and explicit spatial coding must be present in a single mind, or can be distributed across two minds, to generate a spatial-numerical congruency effect. In a shared go/no-go task that eliminated peripheral spatial codes, we assigned explicit magnitude processing to participants and spatial processing to either human or non-human co-agents. The spatial-numerical congruency effect emerged only with human co-agents. We demonstrate an inter-personal level of conceptual congruency between space and number that arises from a shared conceptual representation not contaminated by peripheral spatial codes. Theoretical implications of this finding for numerical cognition are discussed.}, language = {en} } @article{FelisattiLaubrockShakietal.2020, author = {Felisatti, Arianna and Laubrock, Jochen and Shaki, Samuel and Fischer, Martin H.}, title = {A biological foundation for spatial-numerical associations}, series = {Annals of the New York Academy of Sciences}, volume = {1477}, journal = {Annals of the New York Academy of Sciences}, number = {1}, publisher = {Wiley}, address = {Hoboken}, issn = {0077-8923}, doi = {10.1111/nyas.14418}, pages = {44 -- 53}, year = {2020}, abstract = {"Left" and "right" coordinates control our spatial behavior and even influence abstract thoughts. For number concepts, horizontal spatial-numerical associations (SNAs) have been widely documented: we associate few with left and many with right. Importantly, increments are universally coded on the right side even in preverbal humans and nonhuman animals, thus questioning the fundamental role of directional cultural habits, such as reading or finger counting. Here, we propose a biological, nonnumerical mechanism for the origin of SNAs on the basis of asymmetric tuning of animal brains for different spatial frequencies (SFs). The resulting selective visual processing predicts both universal SNAs and their context-dependence. We support our proposal by analyzing the stimuli used to document SNAs in newborns for their SF content. As predicted, the SFs contained in visual patterns with few versus many elements preferentially engage right versus left brain hemispheres, respectively, thus predicting left-versus rightward behavioral biases. Our "brain's asymmetric frequency tuning" hypothesis explains the perceptual origin of horizontal SNAs for nonsymbolic visual numerosities and might be extensible to the auditory domain.}, 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} } @misc{FischerShaki2018, author = {Fischer, Martin H. and Shaki, Samuel}, title = {Number concepts: abstract and embodied}, series = {Philosophical transactions of the Royal Society of London : B, Biological sciences}, volume = {373}, journal = {Philosophical transactions of the Royal Society of London : B, Biological sciences}, number = {1752}, publisher = {Royal Society}, address = {London}, issn = {0962-8436}, doi = {10.1098/rstb.2017.0125}, pages = {8}, year = {2018}, abstract = {Numerical knowledge, including number concepts and arithmetic procedures, seems to be a clear-cut case for abstract symbol manipulation. Yet, evidence from perceptual and motor behaviour reveals that natural number knowledge and simple arithmetic also remain closely associated with modal experiences. Following a review of behavioural, animal and neuroscience studies of number processing, we propose a revised understanding of psychological number concepts as grounded in physical constraints, embodied in experience and situated through task-specific intentions. The idea that number concepts occupy a range of positions on the continuum between abstract and modal conceptual knowledge also accounts for systematic heuristics and biases in mental arithmetic, thus inviting psycho-logical approaches to the study of the mathematical mind.}, language = {en} } @article{FischerShaki2017, author = {Fischer, Martin H. and Shaki, Samuel}, title = {Implicit Spatial-Numerical Associations: Negative Numbers and the Role of Counting Direction}, series = {Journal of experimental psychology : Human perception and performance}, volume = {43}, journal = {Journal of experimental psychology : Human perception and performance}, publisher = {American Psychological Association}, address = {Washington}, issn = {0096-1523}, doi = {10.1037/xhp0000369}, pages = {639 -- 643}, year = {2017}, abstract = {It has been debated whether negative number concepts are cognitively represented on the same mental number line as positive number concepts. The present study reviews this debate and identifies limitations of previous studies. A method with nonspatial stimuli and responses is applied to overcome these limitations and to document a systematic implicit association of negative numbers with left space, thus indicating a leftward extension of the mental number line. Importantly, this result only held for left-to-right counting adults. Implications for the experiential basis of abstract conceptual knowledge are discussed.}, language = {en} } @article{NinausMoellerKaufmannetal.2017, author = {Ninaus, Manuel and Moeller, Korbinian and Kaufmann, Liane and Fischer, Martin H. and Nuerk, Hans-Christoph and Wood, Guilherme}, title = {Cognitive Mechanisms Underlying Directional and Non-directional Spatial-Numerical Associations across the Lifespan}, series = {Frontiers in psychology}, volume = {8}, journal = {Frontiers in psychology}, publisher = {Frontiers Research Foundation}, address = {Lausanne}, issn = {1664-1078}, doi = {10.3389/fpsyg.2017.01421}, pages = {13}, year = {2017}, abstract = {There is accumulating evidence suggesting an association of numbers with physical space. However, the origin of such spatial-numerical associations (SNAs) is still debated. In the present study we investigated the development of two SNAs in a cross-sectional study involving children, young and middle-aged adults as well as the elderly: (1) the SNARC (spatial-numerical association of response codes) effect, reflecting a directional SNA; and (2) the numerical bisection bias in a line bisection task with numerical flankers. Results revealed a consistent SNARC effect in all age groups that continuously increased with age. In contrast, a numerical bisection bias was only observed for children and elderly participants, implying an U-shaped distribution of this bias across age groups. Additionally, individual SNARC effects and numerical bisection biases did not correlate significantly. We argue that the SNARC effect seems to be influenced by longer-lasting experiences of cultural constraints such as reading and writing direction and may thus reflect embodied representations. Contrarily, the numerical bisection bias may originate from insufficient inhibition of the semantic influence of irrelevant numerical flankers, which should be more pronounced in children and elderly people due to development and decline of cognitive control, respectively. As there is an ongoing debate on the origins of SNAs in general and the SNARC effect in particular, the present results are discussed in light of these differing accounts in an integrative approach. However, taken together, the present pattern of results suggests that different cognitive mechanisms underlie the SNARC effect and the numerical bisection bias.}, language = {en} } @misc{MyachykovEllisCangelosietal.2016, author = {Myachykov, Andriy and Ellis, Rob and Cangelosi, Angelo and Fischer, Martin H.}, title = {Ocular drift along the mental number line}, series = {Postprints der Universit{\"a}t Potsdam Humanwissenschaftliche Reihe}, journal = {Postprints der Universit{\"a}t Potsdam Humanwissenschaftliche Reihe}, number = {553}, issn = {1866-8364}, doi = {10.25932/publishup-43048}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-430483}, pages = {379 -- 388}, year = {2016}, abstract = {We examined the spontaneous association between numbers and space by documenting attention deployment and the time course of associated spatial-numerical mapping with and without overt oculomotor responses. In Experiment 1, participants maintained central fixation while listening to number names. In Experiment 2, they made horizontal target-direct saccades following auditory number presentation. In both experiments, we continuously measured spontaneous ocular drift in horizontal space during and after number presentation. Experiment 2 also measured visual-probe-directed saccades following number presentation. Reliable ocular drift congruent with a horizontal mental number line emerged during and after number presentation in both experiments. Our results provide new evidence for the implicit and automatic nature of the oculomotor resonance effect associated with the horizontal spatial-numerical mapping mechanism.}, language = {en} } @misc{FischerMiklashevskyShaki2019, author = {Fischer, Martin H. and Miklashevsky, Alex A. and Shaki, Samuel}, title = {Commentary : The Developmental Trajectory of the Operational Momentum Effect}, series = {Postprints der Universit{\"a}t Potsdam Humanwissenschaftliche Reihe}, journal = {Postprints der Universit{\"a}t Potsdam Humanwissenschaftliche Reihe}, number = {502}, issn = {1866-8364}, doi = {10.25932/publishup-42316}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-423169}, pages = {3}, year = {2019}, language = {en} } @article{FischerMiklashevskyShaki2018, author = {Fischer, Martin H. and Miklashevsky, Alex A. and Shaki, Samuel}, title = {Commentary : The Developmental Trajectory of the Operational Momentum Effect}, series = {Frontiers in Psychology}, volume = {9}, journal = {Frontiers in Psychology}, publisher = {Frontiers Research Foundation}, address = {Lausanne}, issn = {1664-1078}, doi = {10.3389/fpsyg.2018.02259}, pages = {3}, year = {2018}, language = {en} } @article{FischerHartmann2014, author = {Fischer, Martin H. and Hartmann, Matthias}, title = {Pushing forward in embodied cognition: may we mouse the mathematical mind?}, series = {Frontiers in psychology}, volume = {5}, journal = {Frontiers in psychology}, publisher = {Frontiers Research Foundation}, address = {Lausanne}, issn = {1664-1078}, doi = {10.3389/fpsyg.2014.01315}, pages = {4}, year = {2014}, abstract = {Freely available software has popularized "mousetracking" to study cognitive processing; this involves the on-line recording of cursor positions while participants move a computer mouse to indicate their choice. Movement trajectories of the cursor can then be reconstructed off-line to assess the efficiency of responding in time and across space. Here we focus on the process of selecting among alternative numerical responses. Several studies have recently measured the mathematical mind with cursor movements while people decided about number magnitude or parity, computed sums or differences, or simply located numbers on a number line. After some general methodological considerations about mouse tracking we discuss several conceptual concerns that become particularly evident when "mousing" the mathematical mind.}, language = {en} }