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Cognitive Processing

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01.09.2015 | Short Report

Numbers in the eye of the beholder: What do eye movements reveal about numerical cognition?

verfasst von: Matthias Hartmann

Erschienen in: Cognitive Processing | Sonderheft 1/2015

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Abstract

The eyes, often called the window to our minds, reveal the focus of spatial attention and are therefore a powerful research tool for the study of spatial processing and spatially related higher cognitive functions. The aim of this paper is to highlight the potential of eye movement analysis in the domain of numerical cognition, to review several relevant findings, and to provide an outlook for future research.

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As state of the art, eye movements are measured by video- or infrared-based eye-tracking devices capturing the pupil and/or corneal reflection of the eye or alternatively by electrooculography. After calibration, these systems allow for an accurate estimation of participants’ gaze position on a screen. Gaze position is recorded with a sampling rate of at least 25 Hz; a higher sampling rate (e.g., 500 or 1000 Hz) is mandatory when saccade parameters, such as velocity, are analyzed.

The papers presented in this article can be found by searching databases (e.g., Web of Knowledge, PubMed, Google Scholar) with the keywords “eye movements” and “numerical cognition.” Note that, given the limited space, this article is not a comprehensive review about eye movements and number processing. References were selected based on the author’s impression that these papers highlight the advantage of eye tracking in numerical cognition research.

Binda P, Morrone MC, Ross J, Burr DC (2011) Underestimation of perceived number at the time of saccades. Vis Res 51:34–42. doi:10.1016/j.visres.2010.09.028 CrossRefPubMed

Binda P, Morrone MC, Bremmer F (2012) Saccadic compression of symbolic numerical magnitude. PLoS One 7:e49587. doi:10.1371/journal.pone.0049587 PubMedCentralCrossRefPubMed

Bueti D, Walsh V (2009) The parietal cortex and the representation of time, space, number and other magnitudes. Philos Trans R Soc B Biol Sci 364:1831–1840CrossRef

Burr DC, Ross J, Binda P, Morrone MC (2010) Saccades compress space, time and number. Trends Cogn Sci 14:528–533. doi:10.1016/j.tics.2010.09.005 CrossRefPubMed

Cohen YE, Andersen RA (2002) A common reference frame for movement plans in the posterior parietal cortex. Nat Rev Neurosci 3:553–562CrossRefPubMed

Dowker A (1992) Computational estimation strategies of professional mathematicians. J Res Math Educ 45–55

Ferrè ER, Vagnoni E, Haggard P (2013) Galvanic vestibular stimulation influences randomness of number generation. Exp Brain Res 224:233–241CrossRefPubMed

Fischer MH, Shaki S (2014) Spatial associations in numerical cognition-From single digits to arithmetic. Q J Exp Psychol 67:1461–1483. doi:10.1080/17470218.2014.927515 CrossRef

Fischer MH, Castel AD, Dodd MD, Pratt J (2003) Perceiving numbers causes spatial shifts of attention. Nat Neurosci 6:555–556. doi:10.1038/nn1066nn1066 CrossRefPubMed

Green HJ, Lemaire P, Dufau S (2007) Eye movement correlates of younger and older adults’ strategies for complex addition. Acta Psychol 125:257–278CrossRef

Hartmann M, Grabherr L, Mast FW (2012) Moving along the mental number line: interactions between whole-body motion and numerical cognition. J Exp Psychol Human Percept Perform 38:1416–1427. doi:10.1037/a0026706 CrossRef

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. J Exp Psychol Human Percept Perform 40:14. doi:10.1037/a0036686 CrossRef

Hartmann M, Mast FW, Fischer MH (2015) Spatial biases during mental arithmetic: evidence from eye movements on a blank screen name. Front Psychol 6:12PubMedCentralCrossRefPubMed

Hartmann M, Mast FW, Fischer MH. Counting is a spatial process: evidence from eye movements. Psychol Res (in revision)

Hoffmann D, Mussolin C, Martin R, Schiltz C (2014) The impact of mathematical proficiency on the number-space association. PLoS One 9:e85048. doi:10.1371/journal.pone.0085048 PubMedCentralCrossRefPubMed

Irwin DE, Thomas LE (2007) The effect of saccades on number processing. Percept Psychophys 69:450–458CrossRefPubMed

Knops A, Thirion B, Hubbard EM, Michel V, Dehaene S (2009) Recruitment of an area involved in eye movements during mental arithmetic. Science 324:1583–1585. doi:10.1126/science.1171599 CrossRefPubMed

Lakoff G, Johnson M (1980) Conceptual metaphor in everyday language. J Philos 77:453–486CrossRef

Loetscher T, Bockisch CJ, Brugger P (2008) Looking for the answer: the mind’s eye in number space. Neuroscience 151:725–729. doi:10.1016/j.neuroscience.2007.07.068 CrossRefPubMed

Loetscher T, Bockisch CJ, Nicholls ME, Brugger P (2010) Eye position predicts what number you have in mind. Curr Biol 20:R264–R265. doi:10.1016/j.cub.2010.01.015 CrossRefPubMed

Moeller K, Fischer MH, Nuerk HC, Willmes K (2009) Sequential or parallel decomposed processing of two-digit numbers? Evidence from eye-tracking. Q J Exp Psychol 62:323–334. doi:10.1080/17470210801946740 CrossRef

Moeller K, Klein E, Nuerk HC (2011) Three processes underlying the carry effect in addition—evidence from eye tracking. Br J Psychol 102:623–645. doi:10.1111/j.2044-8295.2011.02034.x CrossRefPubMed

Müller D, Schwarz W (2007) Is there an internal association of numbers to hands? The task set influences the nature of the SNARC effect. Memory Cogn 35:1151–1161CrossRef

Nyffeler T, Hartmann M, Hess CW, Müri RM (2008) Visual vector inversion during memory antisaccades—a TMS study. Prog Brain Res 171:429–432CrossRefPubMed

Ranzini M, Lisi M, Blini E, Pitteri M, Treccani B, Priftis K, Zorzi M (2014) Larger, smaller, odd or even? Task-specific effects of optokinetic stimulation on the mental number space. J Cogn Psychol. doi:10.1080/20445911.2014.941847

Schneider M et al (2008) A validation of eye movements as a measure of elementary school children’s developing number sense. Cogn Dev 23:409–422CrossRef

Schneider E, Maruyama M, Dehaene S, Sigman M (2012) Eye gaze reveals a fast, parallel extraction of the syntax of arithmetic formulas. Cognition 125:475–490. doi:10.1016/j.cognition.2012.06.015 CrossRefPubMed

Schwarz W, Keus IM (2004) Moving the eyes along the mental number line: comparing SNARC effects with saccadic and manual responses. Percept Psychophys 66:651–664CrossRefPubMed

Schwarz W, Müller D (2006) Spatial associations in number-related tasks: a comparison of manual and pedal responses. Exp Psychol 53:4–15CrossRefPubMed

Siegler RS, Opfer JE (2003) The development of numerical estimation evidence for multiple representations of numerical quantity. Psychol Sci 14:237–250CrossRefPubMed

Sullivan JL, Juhasz BJ, Slattery TJ, Barth HC (2011) Adults’ number-line estimation strategies: evidence from eye movements. Psychon Bull Rev 18:557–563. doi:10.3758/s13423-011-0081-1 PubMedCentralCrossRefPubMed

Susac A, Bubic A, Kaponja J, Planinic M, Palmovic M (2014) Eye movements reveal students’ strategies in simple equation solving. Int J Sci Math Educ 12:555–577CrossRef

Van Gompel RP (2007) Eye movements: a window on mind and brain. Elsevier, Amsterdam

van Viersen S, Slot EM, Kroesbergen EH, Van’t Noordende JE, Leseman PP (2013) The added value of eye-tracking in diagnosing dyscalculia: a case study. Front Psychol 4:679. doi:10.3389/fpsyg.2013.00679 PubMedCentralPubMed

Wiemers M, Bekkering H, Lindemann O (2014) Spatial interferences in mental arithmetic: evidence from the motion-arithmetic compatibility effect. Q J Exp Psychol 67:1557–1570. doi:10.1080/17470218.2014.889180 CrossRef

Titel: Numbers in the eye of the beholder: What do eye movements reveal about numerical cognition?
verfasst von: Matthias Hartmann
Publikationsdatum: 01.09.2015
Verlag: Springer Berlin Heidelberg
Erschienen in: Cognitive Processing / Ausgabe Sonderheft 1/2015
Print ISSN: 1612-4782
Elektronische ISSN: 1612-4790
DOI: https://doi.org/10.1007/s10339-015-0716-7

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