Skip to main content
Top
Gepubliceerd in:

29-02-2016 | Editorial

Exploring the numerical mind by eye-tracking: a special issue

Auteurs: Matthias Hartmann, Martin H. Fischer

Gepubliceerd in: Psychological Research | Uitgave 3/2016

Log in om toegang te krijgen
share
DELEN

Deel dit onderdeel of sectie (kopieer de link)

  • Optie A:
    Klik op de rechtermuisknop op de link en selecteer de optie “linkadres kopiëren”
  • Optie B:
    Deel de link per e-mail

Excerpt

Psychological research has a long track record of developing tools for our understanding of mental processes. Prominent among these tools are the measurement of the duration of cognitive processes (mental chronometry) and the localization of these processes in the brain (cognitive neuroscience). Somewhat less prominent, but undeservedly so, is eye movement recording or eye-tracking. Eye-tracking has a century-old history (Wade & Tatler, 2005) that has recently culminated in the widespread availability of relatively affordable and low-effort tools for the unobtrusive study of visual exploratory behaviour (e.g., Holmqvist et al., 2011). …
Voetnoten
1
These numbers are based on an online search of the Web of Knowledge database on Dec 20 2015, using the search term “eye movements” in conjunction with either “number” or “language”. Research results that did not investigate aspects of numerical cognition or language processing were then manually removed to obtain the correct number of relevant studies between the years 2006 and 2015.
 
Literatuur
go back to reference Bahnmueller, J., Huber, S., Nuerk, H. -C., Göbel, S. M., Moeller, K. (2016). Processing multi-digit numbers: A translingual eye tracking study. Psychological Research, (online first version). Bahnmueller, J., Huber, S., Nuerk, H. -C., Göbel, S. M., Moeller, K. (2016). Processing multi-digit numbers: A translingual eye tracking study. Psychological Research, (online first version).
go back to reference Bueti, D., & Walsh, V. (2009). The parietal cortex and the representation of time, space, number and other magnitudes. Philosophical Transactions of the Royal Society B: Biological Sciences, 364(1525), 1831–1840.CrossRef Bueti, D., & Walsh, V. (2009). The parietal cortex and the representation of time, space, number and other magnitudes. Philosophical Transactions of the Royal Society B: Biological Sciences, 364(1525), 1831–1840.CrossRef
go back to reference Bulf, H., de Hevia, M. D., & Macchi Cassia, V. (2015). Small on the left, large on the right: Numbers orient visual attention onto space in preverbal infants. Developmental Science,. doi:10.1111/desc.12315. (online first version).PubMed Bulf, H., de Hevia, M. D., & Macchi Cassia, V. (2015). Small on the left, large on the right: Numbers orient visual attention onto space in preverbal infants. Developmental Science,. doi:10.​1111/​desc.​12315. (online first version).PubMed
go back to reference Coello, Y., & Fischer, M. H. (2016). Foundations of embodied cognition: Volume 1. Perceptual and emotional embodiment. London: Taylor & Francis. Coello, Y., & Fischer, M. H. (2016). Foundations of embodied cognition: Volume 1. Perceptual and emotional embodiment. London: Taylor & Francis.
go back to reference Cohen, Y. E., & Andersen, R. A. (2002). A common reference frame for movement plans in the posterior parietal cortex. Nature Reviews Neuroscience, 3(7), 553–562.CrossRefPubMed Cohen, Y. E., & Andersen, R. A. (2002). A common reference frame for movement plans in the posterior parietal cortex. Nature Reviews Neuroscience, 3(7), 553–562.CrossRefPubMed
go back to reference de Hevia, M. D., Girelli, L., Addabbo, M., & Cassia, V. M. (2014a). Human infants’ preference for left-to-right oriented increasing numerical sequences. PLoS One, 9(5), e96412.CrossRefPubMedPubMedCentral de Hevia, M. D., Girelli, L., Addabbo, M., & Cassia, V. M. (2014a). Human infants’ preference for left-to-right oriented increasing numerical sequences. PLoS One, 9(5), e96412.CrossRefPubMedPubMedCentral
go back to reference de Hevia, M. D., Izard, V., Coubart, A., Spelke, E. S., & Streri, A. (2014b). Representations of space, time, and number in neonates. Proceedings of the National Academy of Sciences, 111(13), 4809–4813.CrossRef de Hevia, M. D., Izard, V., Coubart, A., Spelke, E. S., & Streri, A. (2014b). Representations of space, time, and number in neonates. Proceedings of the National Academy of Sciences, 111(13), 4809–4813.CrossRef
go back to reference Dehaene, S. (2011). The number sense: How the mind creates mathematics. Oxford: Oxford University Press. Dehaene, S. (2011). The number sense: How the mind creates mathematics. Oxford: Oxford University Press.
go back to reference Dehaene, S., Bossini, S., & Giraux, P. (1993). The mental representation of parity and number magnitude. Journal of Experimental Psychology: General, 122(3), 371–396.CrossRef Dehaene, S., Bossini, S., & Giraux, P. (1993). The mental representation of parity and number magnitude. Journal of Experimental Psychology: General, 122(3), 371–396.CrossRef
go back to reference Desmurget, M., Pélisson, D., Rossetti, Y., & Prablanc, C. (1998). From eye to hand: Planning goal-directed movements. Neuroscience and Biobehavioral Reviews, 22(6), 761–788.CrossRefPubMed Desmurget, M., Pélisson, D., Rossetti, Y., & Prablanc, C. (1998). From eye to hand: Planning goal-directed movements. Neuroscience and Biobehavioral Reviews, 22(6), 761–788.CrossRefPubMed
go back to reference Duncker, K. (1935/1963). Zur Psychologie des produktiven Denkens [The psychology of productive thinking]. Berlin, Germany: Springer. Duncker, K. (1935/1963). Zur Psychologie des produktiven Denkens [The psychology of productive thinking]. Berlin, Germany: Springer.
go back to reference Engbert, R., & Kliegl, R. (2003). Microsaccades uncover the orientation of covert attention. Vision Research, 43(9), 1035–1045.CrossRefPubMed Engbert, R., & Kliegl, R. (2003). Microsaccades uncover the orientation of covert attention. Vision Research, 43(9), 1035–1045.CrossRefPubMed
go back to reference Fischer, M. H. (2012). A hierarchical view of grounded, embodied, and situated numerical cognition. Cognitive Processing, 13(1), 161–164.CrossRef Fischer, M. H. (2012). A hierarchical view of grounded, embodied, and situated numerical cognition. Cognitive Processing, 13(1), 161–164.CrossRef
go back to reference Fischer, M. H., & Coello, Y. (2016). Foundations of embodied cognition: Volume 2. Conceptual and interactive embodiment. London: Taylor & Francis. Fischer, M. H., & Coello, Y. (2016). Foundations of embodied cognition: Volume 2. Conceptual and interactive embodiment. London: Taylor & Francis.
go back to reference Ganor-Stern, D., & Weiss, N. (2016). Tracking practice effects in computation estimation. Psychological Research, (online first version). Ganor-Stern, D., & Weiss, N. (2016). Tracking practice effects in computation estimation. Psychological Research, (online first version).
go back to reference Gao, X., Yan, H., & Sun, H. (2015). Modulation of microsaccade rate by task difficulty revealed through between- and within-trial comparisons. Journal of Vision, 15(3), 1–15.CrossRef Gao, X., Yan, H., & Sun, H. (2015). Modulation of microsaccade rate by task difficulty revealed through between- and within-trial comparisons. Journal of Vision, 15(3), 1–15.CrossRef
go back to reference Göbel, S. M. (2015). Up or down? Reading direction influences vertical counting direction in the horizontal plane: A cross-cultural comparison. Frontiers in Psychology, 6 228.PubMedPubMedCentral Göbel, S. M. (2015). Up or down? Reading direction influences vertical counting direction in the horizontal plane: A cross-cultural comparison. Frontiers in Psychology, 6 228.PubMedPubMedCentral
go back to reference Göbel, S. M., Shaki, S., & Fischer, M. H. (2011). The cultural number line: A review of cultural and linguistic influences on the development of number processing. Journal of Cross-Cultural Psychology, 42(4), 543–565.CrossRef Göbel, S. M., Shaki, S., & Fischer, M. H. (2011). The cultural number line: A review of cultural and linguistic influences on the development of number processing. Journal of Cross-Cultural Psychology, 42(4), 543–565.CrossRef
go back to reference Grant, E. R., & Spivey, M. J. (2003). Eye movements and problem solving guiding attention guides thought. Psychological Science, 14(5), 462–466.CrossRefPubMed Grant, E. R., & Spivey, M. J. (2003). Eye movements and problem solving guiding attention guides thought. Psychological Science, 14(5), 462–466.CrossRefPubMed
go back to reference Hartmann, M., Gashaj, V., Stahnke, A., & Mast, F. (2014). There is more than “more is up”: Hand and foot responses reverse the vertical association of number magnitudes. Journal of Experimental Psychology: Human Perception and Performance, 40(4), 1401–1414. doi:10.1037/a0036686.PubMed Hartmann, M., Gashaj, V., Stahnke, A., & Mast, F. (2014). There is more than “more is up”: Hand and foot responses reverse the vertical association of number magnitudes. Journal of Experimental Psychology: Human Perception and Performance, 40(4), 1401–1414. doi:10.​1037/​a0036686.PubMed
go back to reference Hartmann, M., Grabherr, L., & Mast, F. W. (2012). Moving along the mental number line: Interactions between whole-body motion and numerical cognition. Journal of Experimental Psychology: Human Perception and Performance, 38(6), 1416–1427. doi:10.1037/a0026706.PubMed Hartmann, M., Grabherr, L., & Mast, F. W. (2012). Moving along the mental number line: Interactions between whole-body motion and numerical cognition. Journal of Experimental Psychology: Human Perception and Performance, 38(6), 1416–1427. doi:10.​1037/​a0026706.PubMed
go back to reference Hartmann, M., Laubrock, J., & Fischer, M. H. (in preparation). The visual number world: A new approach to study the mathematical mind. Hartmann, M., Laubrock, J., & Fischer, M. H. (in preparation). The visual number world: A new approach to study the mathematical mind.
go back to reference Hayhoe, M., & Ballard, D. (2005). Eye movements in natural behavior. Trends in Cognitive Science, 9(4), 188–194.CrossRef Hayhoe, M., & Ballard, D. (2005). Eye movements in natural behavior. Trends in Cognitive Science, 9(4), 188–194.CrossRef
go back to reference Hess, E. H., & Polt, J. M. (1964). Pupil size in relation to mental activity during simple problem-solving. Science, 143(3611), 1190–1192.CrossRefPubMed Hess, E. H., & Polt, J. M. (1964). Pupil size in relation to mental activity during simple problem-solving. Science, 143(3611), 1190–1192.CrossRefPubMed
go back to reference Hintz, F., & Meyer, A. S. (2015). Prediction and production of simple mathematical equations: Evidence from visual world eye-tracking. PLoS One, 10(7), e0130766.CrossRefPubMedPubMedCentral Hintz, F., & Meyer, A. S. (2015). Prediction and production of simple mathematical equations: Evidence from visual world eye-tracking. PLoS One, 10(7), e0130766.CrossRefPubMedPubMedCentral
go back to reference Holmqvist, K., Nyström, M., Andersson, R., Dewhurst, R., Jarodzka, H., & Van de Weijer, J. (2011). Eye tracking: A comprehensive guide to methods and measures. Oxford: Oxford University Press. Holmqvist, K., Nyström, M., Andersson, R., Dewhurst, R., Jarodzka, H., & Van de Weijer, J. (2011). Eye tracking: A comprehensive guide to methods and measures. Oxford: Oxford University Press.
go back to reference Hubbard, T. L. (2014). Forms of momentum across space: Representational, operational, and attentional. Psychonomic Bulletin & Review, 21(6), 1371–1403.CrossRef Hubbard, T. L. (2014). Forms of momentum across space: Representational, operational, and attentional. Psychonomic Bulletin & Review, 21(6), 1371–1403.CrossRef
go back to reference Huettig, F., & Altmann, G. T. (2005). Word meaning and the control of eye fixation: Semantic competitor effects and the visual world paradigm. Cognition, 96(1), B23–B32.CrossRefPubMed Huettig, F., & Altmann, G. T. (2005). Word meaning and the control of eye fixation: Semantic competitor effects and the visual world paradigm. Cognition, 96(1), B23–B32.CrossRefPubMed
go back to reference Huettig, F., Rommers, J., & Meyer, A. S. (2011). Using the visual world paradigm to study language processing: A review and critical evaluation. Acta Psychologica (Amst), 137(2), 151–171.CrossRef Huettig, F., Rommers, J., & Meyer, A. S. (2011). Using the visual world paradigm to study language processing: A review and critical evaluation. Acta Psychologica (Amst), 137(2), 151–171.CrossRef
go back to reference Izard, V., Sann, C., Spelke, E. S., & Streri, A. (2009). Newborn infants perceive abstract numbers. Proceedings of the National Academy of Sciences, 106(25), 10382–10385.CrossRef Izard, V., Sann, C., Spelke, E. S., & Streri, A. (2009). Newborn infants perceive abstract numbers. Proceedings of the National Academy of Sciences, 106(25), 10382–10385.CrossRef
go back to reference Johansson, R., Holsanova, J., Dewhurst, R., & Holmqvist, K. (2012). Eye movements during scene recollection have a functional role, but they are not reinstatements of those produced during encoding. Journal of Experimental Psychology: Human Perception and Performance, 38(5), 1289.PubMed Johansson, R., Holsanova, J., Dewhurst, R., & Holmqvist, K. (2012). Eye movements during scene recollection have a functional role, but they are not reinstatements of those produced during encoding. Journal of Experimental Psychology: Human Perception and Performance, 38(5), 1289.PubMed
go back to reference Just, M. A., & Carpenter, P. A. (1980). A theory of reading: From eye fixations to comprehension. Psychological Review, 87(4), 329.CrossRefPubMed Just, M. A., & Carpenter, P. A. (1980). A theory of reading: From eye fixations to comprehension. Psychological Review, 87(4), 329.CrossRefPubMed
go back to reference Kahneman, D., & Beatty, J. (1966). Pupil diameter and load on memory. Science, 154, 3.CrossRef Kahneman, D., & Beatty, J. (1966). Pupil diameter and load on memory. Science, 154, 3.CrossRef
go back to reference Kliegl, R., Nuthmann, A., & Engbert, R. (2006). Tracking the mind during reading: The influence of past, present, and future words on fixation durations. Journal of Experimental Psychology: General, 135(1), 12.CrossRef Kliegl, R., Nuthmann, A., & Engbert, R. (2006). Tracking the mind during reading: The influence of past, present, and future words on fixation durations. Journal of Experimental Psychology: General, 135(1), 12.CrossRef
go back to reference Laeng, B., & Teodorescu, D.-S. (2002). Eye scanpaths during visual imagery reenact those of perception of the same visual scene. Cognitive Science, 26(2), 207–231.CrossRef Laeng, B., & Teodorescu, D.-S. (2002). Eye scanpaths during visual imagery reenact those of perception of the same visual scene. Cognitive Science, 26(2), 207–231.CrossRef
go back to reference Lakoff, G., & Johnson, M. (1980). Conceptual metaphor in everyday language. The Journal of Philosophy, 77(8), 453–486.CrossRef Lakoff, G., & Johnson, M. (1980). Conceptual metaphor in everyday language. The Journal of Philosophy, 77(8), 453–486.CrossRef
go back to reference Macchi Cassia, V., McCrink, K., de Hevia, M. D., Gariboldi, V., & Bulf, H. (2016). Operational momentum and size ordering in preverbal infants. Psychological Research, (online first version). Macchi Cassia, V., McCrink, K., de Hevia, M. D., Gariboldi, V., & Bulf, H. (2016). Operational momentum and size ordering in preverbal infants. Psychological Research, (online first version).
go back to reference Martarelli, C. S., & Mast, F. W. (2013). Eye movements during long-term pictorial recall. Psychological Research, 77(3), 303–309.CrossRefPubMed Martarelli, C. S., & Mast, F. W. (2013). Eye movements during long-term pictorial recall. Psychological Research, 77(3), 303–309.CrossRefPubMed
go back to reference Masson, N., & Pesenti, M. (2015). Interference of lateralized distractors on arithmetic problem solving: A functional role for attention shifts in mental calculation. Psychological Research (online first version). Masson, N., & Pesenti, M. (2015). Interference of lateralized distractors on arithmetic problem solving: A functional role for attention shifts in mental calculation. Psychological Research (online first version).
go back to reference McCrink, K., Dehaene, S., & Dehaene-Lambertz, G. (2007). Moving along the number line: Operational momentum in nonsymbolic arithmetic. Perception and Psychophysics, 69(8), 1324–1333.CrossRefPubMed McCrink, K., Dehaene, S., & Dehaene-Lambertz, G. (2007). Moving along the number line: Operational momentum in nonsymbolic arithmetic. Perception and Psychophysics, 69(8), 1324–1333.CrossRefPubMed
go back to reference Meyerhoff, H. S., Moeller, K., Debus, K., & Nuerk, H.-C. (2012). Multi-digit number processing beyond the two-digit number range: A combination of sequential and parallel processes. Acta Psychologica (Amst), 140(1), 81–90.CrossRef Meyerhoff, H. S., Moeller, K., Debus, K., & Nuerk, H.-C. (2012). Multi-digit number processing beyond the two-digit number range: A combination of sequential and parallel processes. Acta Psychologica (Amst), 140(1), 81–90.CrossRef
go back to reference Micic, D., Ehrlichman, H., & Chen, R. (2010). Why do we move our eyes while trying to remember? The relationship between non-visual gaze patterns and memory. Brain and Cognition, 74(3), 210–224.CrossRefPubMed Micic, D., Ehrlichman, H., & Chen, R. (2010). Why do we move our eyes while trying to remember? The relationship between non-visual gaze patterns and memory. Brain and Cognition, 74(3), 210–224.CrossRefPubMed
go back to reference Mock, J., Huber, S., Klein, E., & Moeller, K. (2016). Insights into numerical cognition: Considering eye-fixations in number processing and arithmetic. Psychological Research, (online first version). Mock, J., Huber, S., Klein, E., & Moeller, K. (2016). Insights into numerical cognition: Considering eye-fixations in number processing and arithmetic. Psychological Research, (online first version).
go back to reference Moeller, K., Fischer, M. H., Nuerk, H. C., & Willmes, K. (2009). Sequential or parallel decomposed processing of two-digit numbers? Evidence from eye-tracking. Quarterly Journal of Experimental Psychology (Hove), 62(2), 323–334. doi:10.1080/17470210801946740.CrossRef Moeller, K., Fischer, M. H., Nuerk, H. C., & Willmes, K. (2009). Sequential or parallel decomposed processing of two-digit numbers? Evidence from eye-tracking. Quarterly Journal of Experimental Psychology (Hove), 62(2), 323–334. doi:10.​1080/​1747021080194674​0.CrossRef
go back to reference Moeller, K., Shaki, S., Göbel, S. M., & Nuerk, H.-C. (2015). Language influences number processing: A quadrilingual study. Cognition, 136, 150–155.CrossRefPubMed Moeller, K., Shaki, S., Göbel, S. M., & Nuerk, H.-C. (2015). Language influences number processing: A quadrilingual study. Cognition, 136, 150–155.CrossRefPubMed
go back to reference Myachykov, A., Ellis, R., Cangelosi, A., & Fischer, M. H. (2016). Ocular drift along the mental number line. Psychological Research, (online first version). Myachykov, A., Ellis, R., Cangelosi, A., & Fischer, M. H. (2016). Ocular drift along the mental number line. Psychological Research, (online first version).
go back to reference Nuerk, H.-C., Weger, U., & Willmes, K. (2002). A unit-decade compatibility effect in German number words. Current Psychology Letters: Behaviour, Brain & Cognition, 7, 19–38. Nuerk, H.-C., Weger, U., & Willmes, K. (2002). A unit-decade compatibility effect in German number words. Current Psychology Letters: Behaviour, Brain & Cognition, 7, 19–38.
go back to reference Nyffeler, T., Hartmann, M., Hess, C. W., & Müri, R. M. (2008). Visual vector inversion during memory antisaccades: A TMS study. Progress in Brain Research, 171, 429–432.CrossRefPubMed Nyffeler, T., Hartmann, M., Hess, C. W., & Müri, R. M. (2008). Visual vector inversion during memory antisaccades: A TMS study. Progress in Brain Research, 171, 429–432.CrossRefPubMed
go back to reference Ranzini, M., Lisi, M., & Zorzi, M. (2016). Voluntary eye movements direct attention on the mental number space. Psychological Research, (online first version). Ranzini, M., Lisi, M., & Zorzi, M. (2016). Voluntary eye movements direct attention on the mental number space. Psychological Research, (online first version).
go back to reference Rau, A. K., Moll, K., Snowling, M. J., & Landerl, K. (2015). Effects of orthographic consistency on eye movement behavior: German and English children and adults process the same words differently. Journal of Experimental Child Psychology, 130, 92–105.CrossRefPubMed Rau, A. K., Moll, K., Snowling, M. J., & Landerl, K. (2015). Effects of orthographic consistency on eye movement behavior: German and English children and adults process the same words differently. Journal of Experimental Child Psychology, 130, 92–105.CrossRefPubMed
go back to reference Rayner, K. (1998). Eye movements in reading and information processing: 20 years of research. Psychological Bulletin, 124(3), 372.CrossRefPubMed Rayner, K. (1998). Eye movements in reading and information processing: 20 years of research. Psychological Bulletin, 124(3), 372.CrossRefPubMed
go back to reference Rayner, K., & Reingold, E. M. (2015). Evidence for direct cognitive control of fixation durations during reading. Current Opinion in Behavioral Sciences, 1, 107–112.CrossRef Rayner, K., & Reingold, E. M. (2015). Evidence for direct cognitive control of fixation durations during reading. Current Opinion in Behavioral Sciences, 1, 107–112.CrossRef
go back to reference Reichle, E. D., Pollatsek, A., Fisher, D. L., & Rayner, K. (1998). Toward a model of eye movement control in reading. Psychological Review, 105(1), 125.CrossRefPubMed Reichle, E. D., Pollatsek, A., Fisher, D. L., & Rayner, K. (1998). Toward a model of eye movement control in reading. Psychological Review, 105(1), 125.CrossRefPubMed
go back to reference Rugani, R., Vallortigara, G., Priftis, K., & Regolin, L. (2015). Number-space mapping in the newborn chick resembles humans’ mental number line. Science, 347(6221), 534–536.CrossRefPubMed Rugani, R., Vallortigara, G., Priftis, K., & Regolin, L. (2015). Number-space mapping in the newborn chick resembles humans’ mental number line. Science, 347(6221), 534–536.CrossRefPubMed
go back to reference Schneider, M., Heine, A., Thaler, V., Torbeyns, J., De Smedt, B., Verschaffel, L., & Stern, E. (2008). A validation of eye movements as a measure of elementary school children’s developing number sense. Cognitive Development, 23(3), 409–422.CrossRef Schneider, M., Heine, A., Thaler, V., Torbeyns, J., De Smedt, B., Verschaffel, L., & Stern, E. (2008). A validation of eye movements as a measure of elementary school children’s developing number sense. Cognitive Development, 23(3), 409–422.CrossRef
go back to reference Schwarz, W., & Keus, I. M. (2004). Moving the eyes along the mental number line: Comparing SNARC effects with saccadic and manual responses. Perception and Psychophysics, 66(4), 651–664.CrossRefPubMed Schwarz, W., & Keus, I. M. (2004). Moving the eyes along the mental number line: Comparing SNARC effects with saccadic and manual responses. Perception and Psychophysics, 66(4), 651–664.CrossRefPubMed
go back to reference Schwarz, W., & Müller, D. (2006). Spatial associations in number-related tasks: A comparison of manual and pedal responses. Experimental Psychology, 53(1), 4–15.CrossRefPubMed Schwarz, W., & Müller, D. (2006). Spatial associations in number-related tasks: A comparison of manual and pedal responses. Experimental Psychology, 53(1), 4–15.CrossRefPubMed
go back to reference Shaki, S., & Fischer, M. H. (2015). Newborn chicks need no number tricks. Commentary: Number-space mapping in the newborn chick resembles humans’ mental number line. Frontiers in Human Neuroscience, 9, 451.CrossRefPubMedPubMedCentral Shaki, S., & Fischer, M. H. (2015). Newborn chicks need no number tricks. Commentary: Number-space mapping in the newborn chick resembles humans’ mental number line. Frontiers in Human Neuroscience, 9, 451.CrossRefPubMedPubMedCentral
go back to reference Siegenthaler, E., Costela, F. M., McCamy, M. B., Di Stasi, L. L., Otero-Millan, J., Sonderegger, A., & Martinez-Conde, S. (2014). Task difficulty in mental arithmetic affects microsaccadic rates and magnitudes. European Journal of Neuroscience, 39, 287–294.CrossRefPubMed Siegenthaler, E., Costela, F. M., McCamy, M. B., Di Stasi, L. L., Otero-Millan, J., Sonderegger, A., & Martinez-Conde, S. (2014). Task difficulty in mental arithmetic affects microsaccadic rates and magnitudes. European Journal of Neuroscience, 39, 287–294.CrossRefPubMed
go back to reference Siegler, R. S., & Opfer, J. E. (2003). The development of numerical estimation evidence for multiple representations of numerical quantity. Psychological Science, 14(3), 237–250.CrossRefPubMed Siegler, R. S., & Opfer, J. E. (2003). The development of numerical estimation evidence for multiple representations of numerical quantity. Psychological Science, 14(3), 237–250.CrossRefPubMed
go back to reference Spivey, M. J., & Geng, J. J. (2001). Oculomotor mechanisms activated by imagery and memory: Eye movements to absent objects. Psychological Research, 65(4), 235–241.CrossRefPubMed Spivey, M. J., & Geng, J. J. (2001). Oculomotor mechanisms activated by imagery and memory: Eye movements to absent objects. Psychological Research, 65(4), 235–241.CrossRefPubMed
go back to reference Starr, M. S., & Rayner, K. (2001). Eye movements during reading: Some current controversies. Trends in Cognitive Science, 5(4), 156–163.CrossRef Starr, M. S., & Rayner, K. (2001). Eye movements during reading: Some current controversies. Trends in Cognitive Science, 5(4), 156–163.CrossRef
go back to reference Sullivan, J. L., Juhasz, B. J., Slattery, T. J., & Barth, H. C. (2011). Adults’ number-line estimation strategies: Evidence from eye movements. Psychonomic Bulletin & Review, 18(3), 557–563. doi:10.3758/s13423-011-0081-1.CrossRef Sullivan, J. L., Juhasz, B. J., Slattery, T. J., & Barth, H. C. (2011). Adults’ number-line estimation strategies: Evidence from eye movements. Psychonomic Bulletin & Review, 18(3), 557–563. doi:10.​3758/​s13423-011-0081-1.CrossRef
go back to reference Susac, A. N. A., Bubic, A., Kaponja, J., Planinic, M., & Palmovic, M. (2014). Eye movements reveal students’ strategies in simple equation solving. International Journal of Science and Mathematics Education, 12(3), 555–577.CrossRef Susac, A. N. A., Bubic, A., Kaponja, J., Planinic, M., & Palmovic, M. (2014). Eye movements reveal students’ strategies in simple equation solving. International Journal of Science and Mathematics Education, 12(3), 555–577.CrossRef
go back to reference Tanenhaus, M. K., Spivey-Knowlton, M. J., Eberhard, K. M., & Sedivy, J. C. (1995). Integration of visual and linguistic information in spoken language comprehension. Science, 268(5217), 1632–1634.CrossRefPubMed Tanenhaus, M. K., Spivey-Knowlton, M. J., Eberhard, K. M., & Sedivy, J. C. (1995). Integration of visual and linguistic information in spoken language comprehension. Science, 268(5217), 1632–1634.CrossRefPubMed
go back to reference Thomas, L. E., & Lleras, A. (2007). Moving eyes and moving thought: On the spatial compatibility between eye movements and cognition. Psychonomic Bulletin & Review, 14(4), 663–668.CrossRef Thomas, L. E., & Lleras, A. (2007). Moving eyes and moving thought: On the spatial compatibility between eye movements and cognition. Psychonomic Bulletin & Review, 14(4), 663–668.CrossRef
go back to reference van’t Noordende, J. E., van Hoogmoed, A. H., Schot, W. D., Kroesbergen, E. H. (2016). Number line estimation strategies in children with mathematical learning difficulties measured by eye tracking. Psychological Research, (online first version). van’t Noordende, J. E., van Hoogmoed, A. H., Schot, W. D., Kroesbergen, E. H. (2016). Number line estimation strategies in children with mathematical learning difficulties measured by eye tracking. Psychological Research, (online first version).
go back to reference Wade, N., & Tatler, B. W. (2005). The moving tablet of the eye: The origins of modern eye movement research. New York, NY: Oxford University Press.CrossRef Wade, N., & Tatler, B. W. (2005). The moving tablet of the eye: The origins of modern eye movement research. New York, NY: Oxford University Press.CrossRef
go back to reference Walsh, V. (2003). A theory of magnitude: Common cortical metrics of time, space and quantity. Trends in Cognitive Science, 7(11), 483–488.CrossRef Walsh, V. (2003). A theory of magnitude: Common cortical metrics of time, space and quantity. Trends in Cognitive Science, 7(11), 483–488.CrossRef
go back to reference Walsh, V. (2015). A theory of magnitude: The parts that sum to number. In R. C. Kadosh & A. Dowker (Eds.), The Oxford Handbook of Numerical Cognition (pp. 552–565 ). Oxford, U.K.: Oxford University Press. Walsh, V. (2015). A theory of magnitude: The parts that sum to number. In R. C. Kadosh & A. Dowker (Eds.), The Oxford Handbook of Numerical Cognition (pp. 552–565 ). Oxford, U.K.: Oxford University Press.
go back to reference Winter, B., Matlock, T., Shaki, S., & Fischer, M. H. (2015). Mental number space in three dimensions. Neuroscience and Biobehavioral Reviews, 57, 209–219.CrossRefPubMed Winter, B., Matlock, T., Shaki, S., & Fischer, M. H. (2015). Mental number space in three dimensions. Neuroscience and Biobehavioral Reviews, 57, 209–219.CrossRefPubMed
go back to reference Yu, X., Liu, J., Li, D., Liu, H., Cui, J., & Zhou, X. (2016). Dynamic mental number line in simple arithmetic. Psychological Research, (online first version). Yu, X., Liu, J., Li, D., Liu, H., Cui, J., & Zhou, X. (2016). Dynamic mental number line in simple arithmetic. Psychological Research, (online first version).
Metagegevens
Titel
Exploring the numerical mind by eye-tracking: a special issue
Auteurs
Matthias Hartmann
Martin H. Fischer
Publicatiedatum
29-02-2016
Uitgeverij
Springer Berlin Heidelberg
Gepubliceerd in
Psychological Research / Uitgave 3/2016
Print ISSN: 0340-0727
Elektronisch ISSN: 1430-2772
DOI
https://doi.org/10.1007/s00426-016-0759-0