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Multiple cross-format discriminations across nonsymbolic ratios and symbolic fractions

Year: 2020
Type: preprint
Abstract: Previous studies have demonstrated that humans can represent fractional magnitudes abstractly and amodally (e.g., Balci & Gallistel, 2006; Bonn & Cantlon, 2017; Jacob et al., 2012). One line of studies has supported this by showing that humans can compare across fractions and nonsymbolic ratios accurately and rapidly (e.g., Matthews & Chesney, 2015; Kalra et al., 2020). In these cross-format comparisons, individuals have sometimes shown whereby they overestimate the sizes of nonsymbolic ratios relative to symbolic ones. We aim to replicate and expand these previous findings by conducting a series of cross-format comparison tasks comparing across different nonsymbolic ratios, across nonsymbolic and symbolic fractions and across nonsymbolic ratio and decimals. The nonsymbolic ratios will be instantiated by lines, circles, blobs and dots (Park et al., 2020). 1. Do the findings the adults can successfully compare across different nonsymbolic ratios and across nonsymbolic and symbolic fractions replicate? 2. Will all comparisons (between and within format) show distance effects? 4. In the cross-format comparisons between nonsymbolic ratio and symbolic fractions, is the bias toward overestimating nonsymbolic ratios similar across formats? 5. In the cross-format comparisons between nonsymbolic ratio and decimals, is there also a bias toward overestimation in nonsymbolic format? Experiment 1 will conduct a series of nonsymbolic ratio cross-format comparisons with various formats. Experiment 2 will test a series of cross-format comparisons across various nonsymbolic ratios and symbolic fractions. Lastly, Experiment 3 will test a series of cross-format comparisons cross various nonsymbolic ratios and symbolic decimals.
DOI: 10.17605/osf.io/xyca9
Language: English
Open Access status: green
OpenAlex ID: W6887784290
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