Spatial biases in mental arithmetic

REFERENCES

• Bueti, D., & Walsh, V. (2009). The parietal cortex and the representation of time, space, number and other magnitudes. Philosophical Transaction of the Royal Society-Biological Section, 364, 1831–1840.
   PubMed Web of Science ®Google Scholar
• Chen, Q., & Verguts, T. (2010). Beyond the mental number line: A neural network model of number–space interactions. Cognitive Psychology, 60, 218–240.
   PubMed Web of Science ®Google Scholar
• Dehaene, S., Bossini, S., & Giraux, P. (1993). The mental representation of parity and number magnitude. Journal of Experimental Psychology: General, 122, 371–396.
   Web of Science ®Google Scholar
• van Dijck, J.-P., Abrahamse, E. L., Majerus, S., & Fias, W. (2013). Spatial attention drives serial order retrieval in verbal working memory. Psychological Science, 24(9), 1854–1859.
   PubMed Web of Science ®Google Scholar
• van Dijck, J.-P., Abrahamse, E. L., Acar, F., Ketels, B., & Fias, W. (2014). A working memory account of the interaction between numbers and spatial attention. The Quarterly Journal of Experimental Psychology, 67, 1500–1513.
   PubMed Web of Science ®Google Scholar
• Fias, W., van Dijck, J.-P., & Gevers, W. (2011). How is number associated with space? The role of working memory. In S. Dehaene & E. Brannon (Eds.), Space, time, and number in the brain (pp. 133–148). Amsterdam: Elsevier Academic Press.
   Google Scholar
• Fischer, M. H. (2012). A hierarchical view of grounded, embodied and situated numerical cognition. Cognitive Processing, 13, S161–S164.
   PubMed Web of Science ®Google Scholar
• Fischer, M. H., & Brugger, P. (2011). When digits help digits: Spatial-numerical associations point to finger counting as prime example of embodied cognition. Frontiers in Psychology, 2, 260. doi:10.3389/fpsyg.2011.00260
   PubMed Web of Science ®Google Scholar
• Fischer, M. H., Castel, A. D., Dodd, M. D., & Pratt, J. (2003). Perceiving numbers causes spatial shifts of attention. Nature Neuroscience, 6(6), 555–556.
   PubMed Web of Science ®Google Scholar
• Fischer, M. H., & Shaki, S. (2014). Spatial associations in numerical cognition. From single digits to arithmetic. The Quarterly Journal of Experimental Psychology, 67, 1461–1483.
   Google Scholar
• Ito, Y., & Hatta, T. (2004). Spatial structure of quantitative representation of numbers: Evidence from the SNARC effect. Memory & Cognition, 32, 662–673.
   PubMed Web of Science ®Google Scholar
• Jiang, M., Cooper, J., & Alibali, M. (2014). Spatial factors influence arithmetic performance: The case of the minus sign. The Quarterly Journal of Experimental Psychology, 67, 1626–1642.
   PubMed Web of Science ®Google Scholar
• Klein, E., Huber, S., Nuerk, H.-C., & Moeller, K. (2014). Operational momentum affects eye fixation behaviour. The Quarterly Journal of Experimental Psychology, 67, 1614–1625.
   PubMed Web of Science ®Google Scholar
• Knops, A., Dehaene, S., Berteletti, I., & Zorzi, M. (2014). Can approximate mental calculation account for operational momentum in addition and subtraction? The Quarterly Journal of Experimental Psychology, 67, 1541–1556.
   PubMed Web of Science ®Google Scholar
• Lakoff, G., & Nunez, R. (2000). Where mathematics comes from: How the embodied mind brings mathematics into being. New York: Basic Books.
   Google Scholar
• Link, T., Nuerk, H. C., & Moeller, K. (2014). On the relation between the mental number line and arithmetic competencies. The Quarterly Journal of Experimental Psychology, 67, 1597–1613.
   PubMed Web of Science ®Google Scholar
• Marghetis, T., Núñez, R., & Bergen, B. (2014). Doing arithmetic by hand: Hand movements during exact arithmetic reveal systematic, dynamic spatial processing. The Quarterly Journal of Experimental Psychology, 67, 1579–1596.
   PubMed Web of Science ®Google Scholar
• Masson, N., & Pesenti, M. (2014). Attentional bias induced by solving simple and complex addition and subtraction problems. The Quarterly Journal of Experimental Psychology, 67, 1514–1526.
   PubMed Web of Science ®Google Scholar
• Pinhas, M., Shaki, S., & Fischer, M. H. (2014). Heed the signs: Operation signs have spatial associations. The Quarterly Journal of Experimental Psychology, 67, 1527–1540.
   PubMed Web of Science ®Google Scholar
• Proctor, R. W., & Cho, Y. S. (2006). Polarity correspondence: A general principle for performance of speeded binary classification tasks. Psychological Bulletin, 132, 416–442.
   PubMed Web of Science ®Google Scholar
• Scheepers, C., & Sturt, P. (2014). Bi-directional syntactic priming across cognitive domains: From arithmetic to language and back. The Quarterly Journal of Experimental Psychology, 67, 1643–1654.
   PubMed Web of Science ®Google Scholar
• Schwarz, W., & Keus, I. (2004). Moving the eyes along the mental number line: Comparing SNARC effects with manual and saccadic responses. Perception and Psychophysics, 66, 651–664.
   PubMed Web of Science ®Google Scholar
• Shaki, S., & Fischer, M. H. (2012). Multiple spatial mappings in numerical cognition. Journal of Experimental Psychology: Human Perception and Performance, 38(3), 804–809.
   PubMed Web of Science ®Google Scholar
• Viarouge, A., Hubbard, E., & Dehaene, S. (2014). The organization of spatial reference frames involved in the SNARC effect. The Quarterly Journal of Experimental Psychology, 67, 1484–1499.
   PubMed Web of Science ®Google Scholar
• Werner, K., & Raab, M. (2014). Moving your eyes to solution: Effects of movement on the perception of a problem-solving task. The Quarterly Journal of Experimental Psychology, 67, 1571–1578.
   PubMed Web of Science ®Google Scholar
• Wiemers, M., Bekkering, H., & Lindemann, O. (2014). Spatial interferences in mental arithmetic: Evidence from the motion-arithmetic compatibility effect. The Quarterly Journal of Experimental Psychology, 67, 1557–1570.
   PubMed Web of Science ®Google Scholar