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Clarissa A. Thompson; Marta K. Mielicki; Ferdinand Rivera; Charles J. Fitzsimmons; Daniel A. Scheibe; Pooja G. Sidney; Jennifer M. Taber; Erika A. Waters – Grantee Submission, 2023
Rational numbers (i.e., fractions, percentages, decimals, and whole-number frequencies) are notoriously difficult mathematical constructs. Yet correctly interpreting rational numbers is imperative for understanding health statistics, such as gauging the likelihood of side effects from a medication. Several pernicious biases affect health…
Descriptors: Mathematics Skills, Health, Numeracy, Cognitive Processes
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Cheung, Pierina; Toomey, Mary; Jiang, Yahao Harry; Stoop, Tawni B.; Shusterman, Anna – Developmental Science, 2022
Studies on children's understanding of counting examine when and how children acquire the cardinal principle: the idea that the last word in a counted set reflects the cardinal value of the set. Using Wynn's (1990) Give-N Task, researchers classify children who can count to generate large sets as having acquired the cardinal principle…
Descriptors: Computation, Performance, Number Concepts, Numeracy
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Prather, Richard – Journal of Numerical Cognition, 2023
Mastery of mathematics depends on the people's ability to manipulate and abstract values such as negative numbers. Knowledge of arithmetic principles does not necessarily generalize from positive number arithmetic to arithmetic involving negative numbers (Prather & Alibali, 2008, https://doi.org/10.1080/03640210701864147). In this study, we…
Descriptors: Prediction, Mastery Learning, Mathematics Instruction, Cognitive Processes
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de Hevia, Maria Dolores – Child Development Perspectives, 2021
The propensity to use a spatial framework to organize other pieces of information is a widespread phenomenon that permeates humans' representation of diverse concepts, including numerical quantities. Developmental studies on numerical cognition have revealed that humans possess a system for abstract quantity representation that is functional at…
Descriptors: Cognitive Processes, Numbers, Brain, Spatial Ability
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Serena Dolfi; Gisella Decarli; Maristella Lunardon; Michele De Filippo De Grazia; Silvia Gerola; Silvia Lanfranchi; Giuseppe Cossu; Francesco Sella; Alberto Testolin; Marco Zorzi – Developmental Science, 2024
Impaired numerosity perception in developmental dyscalculia (low "number acuity") has been interpreted as evidence of reduced representational precision in the neurocognitive system supporting non-symbolic number sense. However, recent studies suggest that poor numerosity judgments might stem from stronger interference from non-numerical…
Descriptors: Number Concepts, Learning Disabilities, Numeracy, Mathematics Skills
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Jungic, Veselin; Yan, Xiaoheng – For the Learning of Mathematics, 2020
The aim of this article is to advise readers that natural numbers may be introduced as ordinal numbers or cardinal numbers and that there is an ongoing discussion about which come first. In addition, through several examples, the authors demonstrate that in the process of answering the question "How many?" one may, if convenient, use…
Descriptors: Number Concepts, Mathematics Instruction, Cognitive Processes, Numbers
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Wilkey, Eric D.; Shanley, Lina; Sabb, Fred; Ansari, Daniel; Cohen, Jason C.; Men, Virany; Heller, Nicole A.; Clarke, Ben – Developmental Science, 2022
Children's ability to discriminate nonsymbolic number (e.g., the number of items in a set) is a commonly studied predictor of later math skills. Number discrimination improves throughout development, but what drives this improvement is unclear. Competing theories suggest that it may be due to a sharpening numerical representation or an improved…
Descriptors: Numbers, Mathematics Skills, Predictor Variables, Number Concepts
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Szymanik, Jakub; Kochari, Arnold; Bremnes, Heming Strømholt – Cognitive Science, 2023
One approach to understanding how the human cognitive system stores and operates with quantifiers such as "some," "many," and "all" is to investigate their interaction with the cognitive mechanisms for estimating and comparing quantities from perceptual input (i.e., nonsymbolic quantities). While a potential link…
Descriptors: Cognitive Processes, Symbols (Mathematics), Numbers, Mathematical Concepts
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Hurst, Michelle A.; Boyer, Ty W.; Cordes, Sara – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2023
Although difficulties processing both symbolic and nonsymbolic proportion compared with absolute number are well established, the mechanisms involved remain unclear. We investigate four potential explanations to account for better number processing in adulthood: (a) number is more salient than proportion, (b) number is encoded more automatically…
Descriptors: Attention, Numbers, Cognitive Processes, Interference (Learning)
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Wilkey, Eric D. – Mind, Brain, and Education, 2023
Attention and executive functions (EFs) play a critical role in academic skill development, including literacy and numeracy. Deficits in attention and EFs often accompany learning disorders, such as dyslexia and dyscalculia. Despite their well-established link, we lack a nuanced understanding of the specific neurobiological mechanisms that…
Descriptors: Attention, Executive Function, Neurology, Cognitive Processes
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Ling Zhang; Naiqing Song; Guowei Wu; Jinfa Cai – Educational Studies in Mathematics, 2025
This study concerns the cognitive process of mathematical problem posing, conceptualized in three stages: understanding the task, constructing the problem, and expressing the problem. We used the eye tracker and think-aloud methods to deeply explore students' behavior in these three stages of problem posing, especially focusing on investigating…
Descriptors: Cognitive Processes, Mathematics Skills, Problem Solving, Eye Movements
Wilkey, Eric D.; Shanley, Lina; Sabb, Fred; Ansari, Daniel; Cohen, Jason C.; Men, Virany; Heller, Nicole A.; Clarke, Ben – Grantee Submission, 2021
Children's ability to discriminate nonsymbolic number (e.g. the number of items in a set) is a commonly studied predictor of later math skills. Number discrimination improves throughout development, but what drives this improvement is unclear. Competing theories suggest it may be due to a sharpening numerical representation or an improved ability…
Descriptors: Numbers, Mathematics Skills, Predictor Variables, Number Concepts
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Lozin, Mariya; Pinhas, Michal – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2022
Little is known about the mental representation of large multidigit numbers that are usually beyond our personal experience. The present study explored the processing mechanisms of these numbers in a series of experiments, using the numerical comparison task. Experiment 1 included within and between-scale comparisons of multidigit numbers varying…
Descriptors: Numbers, Cognitive Processes, Undergraduate Students, Foreign Countries
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Janczyk, Markus; Koch, Iring; Ulrich, Rolf – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2023
This study reports the results of 4 experiments that addressed whether the domains of deictic time and number exert a cross-domain link. Such a link would be consistent with A Theory of Magnitude (i.e., ATOM). In contrast, no link between the two domains would support the conceptual metaphor theory (CMT), which assumes that each domain is only…
Descriptors: Time, Numbers, Stimuli, Spatial Ability
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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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