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Effect of denominator in the fraction on number line estimation: an exploration ofthe list of the basic fraction in Japanese university students
Abstract
Familiar fractions (e.g., 1/2, 2/3, and 3/4) play a key role in fraction representations. Recent studies showed that, evenin mathematically matured adults, fraction processing was facilitated for familiar fractions (Liu, 2017; Taniguchi, et al.,2017). The working hypothesis was that fractions with small denominators are represented through retrieval and underpinthe representation of larger denominator fractions (Liu, 2017). However, the list of the distinctive basic denominators hasnot been systematically investigated. Thirty university students performed number line estimation of fractions with 2-19in the denominators. The results showed that the fraction 1/2 showed shorter RT and error distance than fractions withother denominators. Additionally, fractions with three in the denominator showed shorter RT than other fractions, but wereequivalent in accuracy. This suggests that fractions with two and three in the denominator are distinctive, and those withlarger denominators would need additional processes at least for number line estimation.
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