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Representations of Fractions: Evidence for Accessing the Whole Magnitude in Adults
Author(s) -
Sprute Lisa,
Temple Elise
Publication year - 2011
Publication title -
mind, brain, and education
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.624
H-Index - 35
eISSN - 1751-228X
pISSN - 1751-2271
DOI - 10.1111/j.1751-228x.2011.01109.x
Subject(s) - fraction (chemistry) , magnitude (astronomy) , representation (politics) , mathematics , task (project management) , mathematics education , arithmetic , physics , chemistry , chromatography , engineering , political science , astrophysics , systems engineering , politics , law
Proficiency with fractions serves as a foundation for later mathematics and is critical for learning algebra, which plays a role in college success and lifetime earnings. Yet children often struggle to learn fractions. Educators have argued that a conceptual understanding of fractions involves learning that a fraction represents a magnitude different from its whole number components. However, it is not well understood whether adults represent a fraction's magnitude similarly to whole numbers. This study investigated the distance effect during a comparison task using fraction pairs that discouraged comparing a fraction's components. Accuracy improved and reaction times decreased with greater distance between fraction pairs, showing a distance effect similar to that seen with whole numbers. This study suggests that a representation of a fraction's magnitude is present in the fully developed number system.