From integers to fractions: The role of analogy in developing a coherent understanding of proportional magnitude.
Shuyuan Yu, Dan Kim, Charles J. Fitzsimmons, Marta K. Mielicki, Clarissa A. Thompson, John E. Opfer
Abstract
= 10.04 years, 55 girls, 76% White) to an Alignment condition, where children estimated fractions and integers on aligned number lines, or to a No Alignment condition (Study 2). Results showed that aligning integers and fractions on number lines facilitated a better understanding of fractional magnitudes, and increased children's fraction estimation accuracy to the level of college students'. Together, findings suggest that analogies can play an important role in building a coherent understanding of proportions. (PsycInfo Database Record (c) 2022 APA, all rights reserved).
Topics & Concepts
AnalogyNumber lineFraction (chemistry)MathematicsInteger (computer science)PsychologyArithmeticLine (geometry)Function (biology)StatisticsCombinatoricsMathematics educationLinguisticsComputer scienceChemistryBiologyPhilosophyGeometryEvolutionary biologyProgramming languageOrganic chemistryCognitive and developmental aspects of mathematical skillsMathematics Education and Teaching TechniquesMathematics Education and Pedagogy