Comparing the magnitude of two fractions with common components: which representations are used by 10- and 12-year-olds?

Journal of Experimental Child Psychology
Gaëlle MeertMarie-Pascale Noël

Abstract

This study tested whether 10- and 12-year-olds who can correctly compare the magnitudes of fractions with common components access the magnitudes of the whole fractions rather than only compare the magnitudes of their components. Time for comparing two fractions was predicted by the numerical distance between the whole fractions, suggesting an access to their magnitude. In addition, we tested whether the relative magnitude of the denominator interferes with the processing of the fraction magnitude and, thus, needs to be inhibited. Response times were slower for fractions with common numerators than for fractions with common denominators, indicating an interference of the magnitude of the denominators with the selection of the larger fraction. A negative priming effect was shown for the comparison of natural numbers primed by fractions with common numerators, suggesting an inhibition of the selection of the larger denominator during the comparison of fractions. In conclusion, children who can correctly compare fractions with common components can access the magnitude of the whole fractions but remain sensitive to the interference of the relative magnitude of the denominators. This study highlights the fact that beyond the interf...Continue Reading

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Citations

Dec 14, 2011·Experimental Brain Research·Li ZhangHong Li
Jan 6, 2012·The Quarterly Journal of Experimental Psychology : QJEP·Gaëlle MeertMarie-Pascale Noël
Nov 16, 2013·PloS One·Florence C GabrielAlain Content
Dec 7, 2013·PloS One·Gaëlle MeertMarie-Pascale Noël
Nov 15, 2015·British Journal of Psychology·Andreas ObersteinerWim Van Dooren
Mar 1, 2014·Developmental Science·Drew H BaileyDavid C Geary
May 21, 2015·The Quarterly Journal of Experimental Psychology : QJEP·Li ZhangDenes Szűcs
Apr 15, 2016·Developmental Science·Robert S Siegler
Jul 31, 2016·NeuroImage·Melissa DeWolfMartin M Monti
Nov 1, 2016·The British Journal of Educational Psychology·Jo Van HoofWim Van Dooren
Feb 24, 2017·Developmental Science·David W Braithwaite, Robert S Siegler
Mar 12, 2016·Journal of Learning Disabilities·Amelia S Malone, Lynn S Fuchs
Aug 15, 2017·The Quarterly Journal of Experimental Psychology : QJEP·Fuchang Liu
Oct 2, 2019·The British Journal of Educational Psychology·Vana A Avgerinou, Andrew Tolmie
Jul 25, 2020·Psychological Research·Ami FederMichal Pinhas
Jul 7, 2020·Frontiers in Psychology·Nicolás MoralesDavid Maximiliano Gómez
Mar 19, 2020·Psychology Research and Behavior Management·Xinchen FuJie Zeng
Mar 11, 2021·Acta Psychologica·Fernando Ojedo, Pedro Macizo
May 1, 2021·Child Development·Christina Areizaga BarbieriJulie L Booth
Nov 9, 2020·Journal of Experimental Child Psychology·Kexin Ren, Elizabeth A Gunderson
Aug 14, 2021·CBE Life Sciences Education·Yannick Skelling-DesmeulesPatrick Charland
Aug 28, 2021·Journal of Experimental Child Psychology·David W BraithwaiteMichelle A Hurst
Sep 3, 2021·Neuropsychologia·Brian Rivera, Firat Soylu

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