@misc{WinterMatlockShakietal.2015,
  author    = {Winter, Bodo and Matlock, Teenie and Shaki, Samuel and Fischer, Martin H.},
  title     = {Mental number space in three dimensions},
  series = {Neuroscience \& biobehavioral reviews : official journal of the International Behavioral Neuroscience Society},
  volume    = {57},
  journal   = {Neuroscience \& biobehavioral reviews : official journal of the International Behavioral Neuroscience Society},
  publisher = {Elsevier},
  address   = {Oxford},
  issn      = {0149-7634},
  doi       = {10.1016/j.neubiorev.2015.09.005},
  pages     = {209 -- 219},
  year      = {2015},
  abstract  = {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.},
  language  = {en}
}
@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{FelisattiRanziniBlinietal.2022,
  author    = {Felisatti, Arianna and Ranzini, Mariagrazia and Blini, Elvio and Lisi, Matteo and Zorzi, Marco},
  title     = {Effects of attentional shifts along the vertical axis on number processing},
  series = {Cognition : international journal of cognitive science},
  volume    = {221},
  journal   = {Cognition : international journal of cognitive science},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {0010-0277},
  doi       = {10.1016/j.cognition.2021.104991},
  pages     = {11},
  year      = {2022},
  abstract  = {Previous studies suggest that associations between numbers and space are mediated by shifts of visuospatial attention along the horizontal axis. In this study, we investigated the effect of vertical shifts of overt attention, induced by optokinetic stimulation (OKS) and monitored through eye-tracking, in two tasks requiring explicit (number comparison) or implicit (parity judgment) processing of number magnitude. Participants were exposed to black-and-white stripes (OKS) that moved vertically (upward or downward) or remained static (control condition). During the OKS, participants were asked to verbally classify auditory one-digit numbers as larger/smaller than 5 (comparison task; Exp. 1) or as odd/even (parity task; Exp. 2). OKS modulated response times in both experiments. In Exp.1, upward attentional displacement decreased the Magnitude effect (slower responses for large numbers) and increased the Distance effect (slower responses for numbers close to the reference). In Exp.2, we observed a complex interaction between parity, magnitude, and OKS, indicating that downward attentional displacement slowed down responses for large odd numbers. Moreover, eye tracking analyses revealed an influence of number processing on eye movements both in Exp. 1, with eye gaze shifting downwards during the processing of small numbers as compared to large ones; and in Exp. 2, with leftward shifts after large even numbers (6,8) and rightward shifts after large odd numbers (7,9). These results provide evidence of bidirectional links between number and space and extend them to the vertical dimension. Moreover, they document the influence of visuo-spatial attention on processing of numerical magnitude, numerical distance, and parity. Together, our findings are in line with grounded and embodied accounts of numerical cognition.},
  language  = {en}
}