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Kelsey J. MacKay; Filip Germeys; Wim Van Dooren; Lieven Verschaffel; Koen Luwel – Educational Studies in Mathematics, 2025
Rational numbers, such as fractions and decimals, are harder to understand than natural numbers. Moreover, individuals struggle with fractions more than with decimals. The present study sought to disentangle the extent to which two potential sources of difficulty affect secondary-school students' numerical magnitude understanding: number type…
Descriptors: Number Concepts, Numeracy, Secondary School Mathematics, Secondary School Students
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Obersteiner, Andreas; Alibali, Martha Wagner; Marupudi, Vijay – Journal of Numerical Cognition, 2022
Many studies have used fraction magnitude comparison tasks to assess people's abilities to quickly assess fraction magnitudes. However, since there are multiple ways to compare fractions, it is not clear whether people actually reason about the holistic magnitudes of the fractions in this task and whether they use multiple strategies in a flexible…
Descriptors: Fractions, Mathematics Skills, Learning Strategies, Problem Solving
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Matthews, Percival G.; Lewis, Mark R. – Cognitive Science, 2017
Although many researchers theorize that primitive numerosity processing abilities may lay the foundation for whole number concepts, other classes of numbers, like fractions, are sometimes assumed to be inaccessible to primitive architectures. This research presents evidence that the automatic processing of nonsymbolic magnitudes affects processing…
Descriptors: Numbers, Numeracy, Color, Interference (Learning)
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Obersteiner, Andreas; Tumpek, Christine – ZDM: The International Journal on Mathematics Education, 2016
Research suggests that people use a variety of strategies for comparing the numerical values of two fractions. They use holistic strategies that rely on the fraction magnitudes, componential strategies that rely on the fraction numerators or denominators, or a combination of both. We investigated how mathematically skilled adults adapt their…
Descriptors: Eye Movements, Fractions, Comparative Analysis, Numbers