TY  - INPR
A1  - Fischer, Martin H.
A1  - Shaki, Samuel
T1  - Two steps to space for numbers
T2  - Frontiers in psychology
KW  - spatial-nunmerical association
KW  - SNARC
KW  - mental number line
KW  - numerical cognition
KW  - spatial cognition
Y1  - 2015
U6  - https://doi.org/10.3389/fpsyg.2015.00612
SN  - 1664-1078
VL  - 6
PB  - Frontiers Research Foundation
CY  - Lausanne
ER  - 
TY  - JOUR
A1  - Myachykov, Andriy
A1  - Cangelosi, Angelo
A1  - Ellis, Rob
A1  - Fischer, Martin H.
T1  - The oculomotor resonance effect in spatial-numerical mapping
JF  - Acta psychologica : international journal of psychonomics
N2  - 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.
KW  - Attention
KW  - Embodied cognition
KW  - Eye movements
KW  - Oculomotor resonance
KW  - Ocular drift
KW  - SNARC
Y1  - 2015
U6  - https://doi.org/10.1016/j.actpsy.2015.09.006
SN  - 0001-6918
SN  - 1873-6297
VL  - 161
SP  - 162
EP  - 169
PB  - Elsevier
CY  - Amsterdam
ER  - 
TY  - JOUR
A1  - Winter, Bodo
A1  - Matlock, Teenie
A1  - Shaki, Samuel
A1  - Fischer, Martin H.
T1  - Mental number space in three dimensions
JF  - Neuroscience & biobehavioral reviews : official journal of the International Behavioral Neuroscience Society
N2  - 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.
KW  - Embodiment
KW  - Intra-parietal sulcus
KW  - Mental number line
KW  - Metaphor
KW  - Neglect
KW  - Spatial cognition
KW  - SNARC
Y1  - 2015
U6  - https://doi.org/10.1016/j.neubiorev.2015.09.005
SN  - 0149-7634
SN  - 1873-7528
VL  - 57
SP  - 209
EP  - 219
PB  - Elsevier
CY  - Oxford
ER  - 
TY  - JOUR
A1  - Shaki, Samuel
A1  - Sery, Noa
A1  - Fischer, Martin H.
T1  - 1 + 2 is more than 2 + 1: Violations of commutativity and identity axioms in mental arithmetic
JF  - Journal of cognitive psychology
N2  - 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.
KW  - Operand order effect
KW  - Situated cognition
KW  - Mental number line
KW  - SNARC
KW  - Operational momentum
Y1  - 2015
U6  - https://doi.org/10.1080/20445911.2014.973414
SN  - 2044-5911
SN  - 2044-592X
VL  - 27
IS  - 4
SP  - 471
EP  - 477
PB  - Routledge, Taylor & Francis Group
CY  - Abingdon
ER  -