First fixation duration as a bottom-up measure during symbolic and non-symbolic numerical comparisons ( La duración de la primera fijación como medida bottom-up al comparar cantidades simbólicas y no simbólicas )

Abstract

Spanish

The ability to represent quantities, either in a symbolic or non-symbolic format, predicts calculation skills. Recording the saccades during gazing at these stimuli allows us to infer the cognitive processing taking place at that moment. The purpose of this research study was to analyse the duration of the first fixation during symbolic and non-symbolic numerical stimuli. We evaluated 32 university students through symbolic and non-symbolic number comparison tasks while recording their eye movements. In addition, they answered a calculation task. Participants spent more time looking first at the stimulus of greater magnitude during the execution of the comparison task (regardless of the presentation format). This measure was not a predictor of calculation skills. The duration of the first fixation was interpreted as a bottom-up measure during numerical stimuli perception, and therefore during the initial stage of cognitive processing.

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References

Ansari

(2008). Effects of development and enculturation on number representation in the brain. Nature Reviews Neuroscience, 9, 278–291.

Butterworth

(2005). The development of arithmetical abilities. Journal of Child Psychology and Psychiatry and Allied Disciplines, 46, 3–18.

Calvo

M. G.

Meseguer

(2002). Eye movements and processing stages in reading: Relative contribution of visual, lexical, and contextual factors. The Spanish Journal of Psychology, 5, 66–77.

Carey

Shusterman

Haward

Distefano

(2017). Do analog number representations underlie the meanings of young children’s verbal numerals? Cognition, 168, 243–255.

Dehaene

(2011). The number sense. New York, NY: Oxford University Press.

Feigenson

Dehaene

Spelke

(2004). Core systems of number. Trends in Cognitive Sciences, 8, 307–314.

Geary

D. C.

(1995). Reflections of evolution and culture in children’s cognition. Implications for mathematical development and instruction. American Psychologist, 50, 24–37.

Geary

D. C.

(2002). Principles of evolutionary educational psychology. Learning and Individual Differences, 12, 317–345.

Hurst

Cordes

(2016). Rational-number comparison across notation: Fractions. Decimals, and Whole Numbers, 42, 281–293.

10.

Irwin

D. E.

Thomas

L. E.

(2007). The effect of saccades on number processing. Perception & Psychophysics, 69, 450–458.

11.

Merkley

Ansari

(2010). Using eye tracking to study numerical cognition: The case of the ratio effect. Experimental Brain Research, 206, 455–460.

12.

Mock

Huber

Klein

Moeller

(2016). Insights into numerical cognition: Considering eye-fixations in number processing and arithmetic. Psychological Research, 80, 334–359.

13.

Moeller

Fischer

M. H.

Nuerk

H.-C.

Willmes

(2009). Sequential or parallel decomposed processing of two-digit numbers? Evidence from eye-tracking. The Quarterly Journal of Experimental Psychology, 62, 323–334.

14.

Moyer

R. S.

Landauer

T. K.

(1967). Time required for judgements of numerical inequality. Nature, 215, 1519–1520.

15.

Mussolin

Nys

Leybaert

Content

(2016). How approximate and exact number skills are related to each other across development: A review. Developmental Review, 39, 1–15.

16.

Odic

Halberda

(2015). Eye movements reveal distinct encoding patterns for number and cumulative surface area in random dot arrays. Journal of Vision, 15, 1–15.

17.

Price

G. R.

Wilkey

E. D.

Yeo

D. J.

(2017). Eye-movement patterns during nonsymbolic and symbolic numerical magnitude comparison and their relation to math calculation skills. Acta Psychologica, 176(September 2016), 47–57.