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Direct linkViviane Durand-Guerrier – ZDM: Mathematics Education, 2024
Understanding the concept of completeness for an ordered field is known to be difficult for many university mathematics students. We hypothesise that the variety of possible axioms of completeness for the set of real numbers is one of the sources of difficulties as is the lack of understanding of the "raison d'être" of these axioms. In…
Descriptors: College Mathematics, Numbers, Number Concepts, Number Systems
Jingyang Hua; Yajie Zhang – Early Child Development and Care, 2024
Studies have demonstrated a significant correlation between the approximate number system (ANS) and early mathematical achievement. However, various explanations exist regarding the underlying cognitive mechanisms that underpin this association. The present study investigated whether the two hypotheses of inhibition control and visual form…
Descriptors: Mathematics Achievement, Number Systems, Kindergarten, Young Children
David Muñez; Josetxu Orrantia; Rosario Sanchez; Verónica Carreton; Laura Matilla – Journal of Cognition and Development, 2024
This study investigates how the approximate number system (ANS) and young children's symbolic skills jointly develop and interact. Specifically, the study aims at disentangling the directionality of the association between ANS acuity and a wide range of symbolic skills that reflect 4- to 5-year-olds' symbolic quantitative knowledge (enumeration…
Descriptors: Number Systems, Numeracy, Symbols (Mathematics), Young Children
