TY - JOUR A1 - Tschentscher, Nadja A1 - Hauk, Olaf A1 - Fischer, Martin H. A1 - Pulvermüller, Friedemann T1 - You can count on the motor cortex finger counting habits modulate motor cortex activation evoked by numbers JF - NeuroImage : a journal of brain function N2 - The embodied cognition framework suggests that neural systems for perception and action are engaged during higher cognitive processes. In an event-related fMRI study, we tested this claim for the abstract domain of numerical symbol processing: is the human cortical motor system part of the representation of numbers, and is organization of numerical knowledge influenced by individual finger counting habits? Developmental studies suggest a link between numerals and finger counting habits due to the acquisition of numerical skills through finger counting in childhood. In the present study, digits 1 to 9 and the corresponding number words were presented visually to adults with different finger counting habits, i.e. left- and right-starters who reported that they usually start counting small numbers with their left and right hand, respectively. Despite the absence of overt hand movements, the hemisphere contralateral to the hand used for counting small numbers was activated when small numbers were presented. The correspondence between finger counting habits and hemispheric motor activation is consistent with an intrinsic functional link between finger counting and number processing. KW - Embodied cognition KW - Numerical cognaion KW - Finger counting habits KW - SNARC effect Y1 - 2012 U6 - https://doi.org/10.1016/j.neuroimage.2011.11.037 SN - 1053-8119 VL - 59 IS - 4 SP - 3139 EP - 3148 PB - Elsevier CY - San Diego 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 - 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 - TY - JOUR A1 - Ninaus, Manuel A1 - Moeller, Korbinian A1 - Kaufmann, Liane A1 - Fischer, Martin H. A1 - Nuerk, Hans-Christoph A1 - Wood, Guilherme T1 - Cognitive Mechanisms Underlying Directional and Non-directional Spatial-Numerical Associations across the Lifespan JF - Frontiers in psychology N2 - 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. KW - SNARC effect KW - spatial-numerical bias KW - line bisection task KW - cognitive development KW - aging Y1 - 2017 U6 - https://doi.org/10.3389/fpsyg.2017.01421 SN - 1664-1078 VL - 8 PB - Frontiers Research Foundation CY - Lausanne 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 - JOUR A1 - Shaki, Samuel A1 - Fischer, Martin H. T1 - Deconstructing spatial-numerical associations JF - Cognition : international journal of cognitive science N2 - 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. KW - Go/no-go task KW - Implicit association task KW - Numerical cognition KW - SNARC effect Y1 - 2018 U6 - https://doi.org/10.1016/j.cognition.2018.02.022 SN - 0010-0277 SN - 1873-7838 VL - 175 SP - 109 EP - 113 PB - Elsevier CY - Amsterdam 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 - 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 -