TY - JOUR A1 - D'Ascenzo, Stefania A1 - Fischer, Martin H. A1 - Shaki, Samuel A1 - Lugli, Luisa T1 - Number to me, space to you BT - joint representation of spatial-numerical associations JF - Psychonomic bulletin & review : a journal of the Psychonomic Society N2 - 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. KW - Social co-representation KW - Conceptual congruency effect KW - Numerical KW - cognition KW - SNARC effect Y1 - 2021 U6 - https://doi.org/10.3758/s13423-021-02013-9 SN - 1069-9384 SN - 1531-5320 VL - 29 IS - 2 SP - 485 EP - 491 PB - Springer CY - New York ER - TY - JOUR A1 - Felisatti, Arianna A1 - Laubrock, Jochen A1 - Shaki, Samuel A1 - Fischer, Martin H. T1 - A biological foundation for spatial–numerical associations BT - the brain's asymmetric frequency tuning JF - Annals of the New York Academy of Sciences N2 - "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. KW - hemispheric asymmetry KW - numerical cognition KW - SNARC effect KW - spatial KW - frequency tuning KW - spatial-numerical associations KW - spatial vision Y1 - 2020 U6 - https://doi.org/10.1111/nyas.14418 SN - 0077-8923 SN - 1749-6632 VL - 1477 IS - 1 SP - 44 EP - 53 PB - Wiley CY - Hoboken ER - TY - JOUR A1 - Fischer, Martin H. T1 - A hierarchical view of grounded, embodied, and situated numerical cognition JF - Cognitive processing : international quarterly of cognitive science N2 - There is much recent interest in the idea that we represent our knowledge together with the sensory and motor features that were activated during its acquisition. This paper reviews the evidence for such "embodiment" in the domain of numerical cognition, a traditional stronghold of abstract theories of knowledge representation. The focus is on spatial-numerical associations, such as the SNARC effect (small numbers are associated with left space, larger numbers with right space). Using empirical evidence from behavioral research, I first describe sensory and motor biases induced by SNARC, thus identifying numbers as embodied concepts. Next, I propose a hierarchical relationship between grounded, embodied, and situated aspects of number knowledge. This hierarchical conceptualization helps to understand the variety of SNARC-related findings and yields testable predictions about numerical cognition. I report several such tests, ranging from cross-cultural comparisons of horizontal and vertical SNARC effects (Shaki and Fischer in J Exp Psychol Hum Percept Perform 38(3): 804-809, 2012) to motor cortical activation studies in adults with left- and right-hand counting preferences (Tschentscher et al. in NeuroImage 59: 3139-3148, 2012). It is concluded that the diagnostic features for each level of the proposed hierarchical knowledge representation, together with the spatial associations of numbers, make the domain of numerical knowledge an ideal testing ground for embodied cognition research. KW - Embodied cognition KW - Grounded cognition KW - Numerical cognition KW - SNARC effect Y1 - 2012 U6 - https://doi.org/10.1007/s10339-012-0477-5 SN - 1612-4782 VL - 13 SP - S161 EP - S164 PB - Springer CY - Heidelberg ER - TY - JOUR A1 - Fischer, Martin H. A1 - Hartmann, Matthias T1 - Pushing forward in embodied cognition: may we mouse the mathematical mind? JF - Frontiers in psychology N2 - 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. KW - mousetracking KW - numerical cognition KW - SNARC effect KW - trajectories KW - on-line processing Y1 - 2014 U6 - https://doi.org/10.3389/fpsyg.2014.01315 SN - 1664-1078 VL - 5 PB - Frontiers Research Foundation CY - Lausanne ER - TY - INPR A1 - Fischer, Martin H. A1 - Knops, Andre T1 - Attentional cueing in numerical cognition T2 - Frontiers in psychology KW - attention KW - number line KW - SNARC effect KW - visual perception KW - response selection Y1 - 2014 U6 - https://doi.org/10.3389/fpsyg.2014.01381 SN - 1664-1078 VL - 5 PB - Frontiers Research Foundation CY - Lausanne ER - TY - JOUR A1 - Fischer, Martin H. A1 - Miklashevsky, Alex A. A1 - Shaki, Samuel T1 - Commentary : The Developmental Trajectory of the Operational Momentum Effect JF - Frontiers in Psychology KW - embodied cognition KW - operational momentum KW - SNARC effect KW - mental arithmetic KW - numerical cognition Y1 - 2018 U6 - https://doi.org/10.3389/fpsyg.2018.02259 SN - 1664-1078 N1 - A Commentary on The Developmental Trajectory of the Operational Momentum Effect by Pinheiro-Chagas, P., Didino, D., Haase, V. G., Wood, G., and Knops, A. (2018). Front. Psychol. 9:1062 doi: 10.3389/fpsyg.2018.01062 VL - 9 PB - Frontiers Research Foundation CY - Lausanne ER - TY - GEN A1 - Fischer, Martin H. A1 - Miklashevsky, Alex A. A1 - Shaki, Samuel T1 - Commentary : The Developmental Trajectory of the Operational Momentum Effect T2 - Postprints der Universität Potsdam Humanwissenschaftliche Reihe T3 - Zweitveröffentlichungen der Universität Potsdam : Humanwissenschaftliche Reihe - 502 KW - embodied cognition KW - operational momentum KW - SNARC effect KW - mental arithmetic KW - numerical cognition Y1 - 2019 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-423169 SN - 1866-8364 N1 - A Commentary on The Developmental Trajectory of the Operational Momentum Effect by Pinheiro-Chagas, P., Didino, D., Haase, V. G., Wood, G., and Knops, A. (2018). Front. Psychol. 9:1062 doi: 10.3389/fpsyg.2018.01062 IS - 502 ER - TY - JOUR A1 - Fischer, Martin H. A1 - Shaki, Samuel T1 - Number concepts: abstract and embodied JF - Philosophical transactions of the Royal Society of London : B, Biological sciences N2 - 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. KW - embodied cognition KW - mental arithmetic KW - mental number line KW - numerical cognition KW - SNARC effect Y1 - 2018 U6 - https://doi.org/10.1098/rstb.2017.0125 SN - 0962-8436 SN - 1471-2970 VL - 373 IS - 1752 PB - Royal Society CY - London ER - TY - JOUR A1 - Fischer, Martin H. A1 - Shaki, Samuel T1 - Implicit Spatial-Numerical Associations: Negative Numbers and the Role of Counting Direction JF - Journal of experimental psychology : Human perception and performance N2 - 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. KW - negative numbers KW - counting direction KW - embodied cognition KW - IAT KW - SNARC effect Y1 - 2017 U6 - https://doi.org/10.1037/xhp0000369 SN - 0096-1523 SN - 1939-1277 VL - 43 SP - 639 EP - 643 PB - American Psychological Association CY - Washington ER - TY - GEN A1 - Myachykov, Andriy A1 - Ellis, Rob A1 - Cangelosi, Angelo A1 - Fischer, Martin H. T1 - Ocular drift along the mental number line T2 - Postprints der Universität Potsdam Humanwissenschaftliche Reihe N2 - 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. T3 - Zweitveröffentlichungen der Universität Potsdam : Humanwissenschaftliche Reihe - 553 KW - catch trial KW - number word KW - numerical magnitude KW - saccade task KW - SNARC effect Y1 - 2019 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-430483 SN - 1866-8364 IS - 553 SP - 379 EP - 388 ER -