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The Approximate Number System and Its Relation to Early Math Achievement: Evidence from the Preschool Years
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Bonny, Justin W.; Lourenco, Stella F. – Journal of Experimental Child Psychology, 2013
Humans rely on two main systems of quantification; one is nonsymbolic and involves approximate number representations (known as the approximate number system or ANS), and the other is symbolic and allows for exact calculations of number. Despite the pervasiveness of the ANS across development, recent studies with adolescents and school-aged…
Descriptors: Preschool Children, Number Systems, Mathematics Achievement, Child Development
The Nonlinear Relations of the Approximate Number System and Mathematical Language to Early Mathematics Development
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Purpura, David J.; Logan, Jessica A. R. – Developmental Psychology, 2015
Both mathematical language and the approximate number system (ANS) have been identified as strong predictors of early mathematics performance. Yet, these relations may be different depending on a child's developmental level. The purpose of this study was to evaluate the relations between these domains across different levels of ability.…
Descriptors: Preschool Children, Child Development, Number Systems, Mathematics
Acuity of the Approximate Number System and Preschoolers' Quantitative Development
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van Marle, Kristy; Chu, Felicia W.; Li, Yaoran; Geary, David C. – Developmental Science, 2014
The study assessed the relations among acuity of the inherent approximate number system (ANS), performance on measures of symbolic quantitative knowledge, and mathematics achievement for a sample of 138 (64 boys) preschoolers. The Weber fraction (a measure of ANS acuity) and associated task accuracy were significantly correlated with mathematics…
Descriptors: Preschool Children, Child Development, Number Systems, Numeracy
Indicators of Multiplicative Reasoning among Fourth Grade Students
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Carrier, James A. – ProQuest LLC, 2010
Many students encounter difficulty in their transition to advanced mathematical thinking. Such difficulty may be explained by a lack of understanding of many concepts taught in early school years, especially multiplicative reasoning. Advanced mathematical thinking depends on the development of multiplicative reasoning. The purpose of this study…
Descriptors: Formal Operations, Test Items, Number Systems, Grade 4
Contemporary Debates in Childhood Education and Development
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Suggate, Sebastian, Ed.; Reese, Elaine, Ed. – Routledge, Taylor & Francis Group, 2012
"Contemporary Debates in Childhood Education and Development" is a unique resource and reference work that brings together leading international researchers and thinkers, with divergent points of view, to discuss contemporary problems and questions in childhood education and developmental psychology. Through an innovative format whereby leading…
Descriptors: Early Childhood Education, Child Development, Developmental Psychology, Role of Education
Developmental Change in the Acuity of the "Number Sense": The Approximate Number System in 3-, 4-, 5-, and 6-Year-Olds and Adults
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Halberda, Justin; Feigenson, Lisa – Developmental Psychology, 2008
Behavioral, neuropsychological, and brain imaging research points to a dedicated system for processing number that is shared across development and across species. This foundational Approximate Number System (ANS) operates over multiple modalities, forming representations of the number of objects, sounds, or events in a scene. This system is…
Descriptors: Number Systems, Neurology, Child Development, Children