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David Muñez; Josetxu Orrantia; Rosario Sanchez; Lieven Verschaffel; Laura Matilla – Journal of Cognition and Development, 2025
Previous research has demonstrated a link between children's ability to name canonical finger configurations and their mathematical abilities. This study aimed to investigate the nature of this association, specifically exploring whether the relationship is skill and handshape specific and identifying the underlying mechanisms involved.…
Descriptors: Foreign Countries, Elementary School Mathematics, Elementary School Students, Elementary School Teachers
Siegler, Robert S.; Braithwaite, David W. – Grantee Submission, 2016
In this review, we attempt to integrate two crucial aspects of numerical development: learning the magnitudes of individual numbers and learning arithmetic. Numerical magnitude development involves gaining increasingly precise knowledge of increasing ranges and types of numbers: from non-symbolic to small symbolic numbers, from smaller to larger…
Descriptors: Numeracy, Numbers, Arithmetic, Fractions
Siegler, Robert; Lortie-Forgues, Hugues – Grantee Submission, 2014
Understanding of numerical development is growing rapidly, but the volume and diversity of findings can make it difficult to perceive any coherence in the process. The integrative theory of numerical development posits that a coherent theme is present, however--progressive broadening of the set of numbers whose magnitudes can be accurately…
Descriptors: Numbers, Theories, Individual Development, Cognitive Development
Siegler, Robert S. – Developmental Science, 2016
The integrated theory of numerical development posits that a central theme of numerical development from infancy to adulthood is progressive broadening of the types and ranges of numbers whose magnitudes are accurately represented. The process includes four overlapping trends: (1) representing increasingly precisely the magnitudes of non-symbolic…
Descriptors: Numbers, Theories, Individual Development, Symbols (Mathematics)
Siegler, Robert S. – Grantee Submission, 2016
The integrated theory of numerical development posits that a central theme of numerical development from infancy to adulthood is progressive broadening of the types and ranges of numbers whose magnitudes are accurately represented. The process includes four overlapping trends: 1) representing increasingly precisely the magnitudes of non-symbolic…
Descriptors: Numbers, Theories, Individual Development, Symbols (Mathematics)
Landerl, Karin; Kolle, Christina – Journal of Experimental Child Psychology, 2009
Deficits in basic numerical processing have been identified as a central and potentially causal problem in developmental dyscalculia; however, so far not much is known about the typical and atypical development of such skills. This study assessed basic number skills cross-sectionally in 262 typically developing and 51 dyscalculic children in…
Descriptors: Numbers, Children, Grade 2, Arithmetic
Soltesz, Fruzsina; Szucs, Denes – Cognitive Development, 2009
Developmental dyscalculia (DD) still lacks a generally accepted definition. A major problem is that the cognitive component processes contributing to arithmetic performance are still poorly defined. By a reanalysis of our previous event-related brain potential (ERP) data (Soltesz et al., 2007) here our objective was to identify and compare…
Descriptors: Developmental Disabilities, Learning Disabilities, Cognitive Processes, Cognitive Ability
Cawley, John F.; Hayes, Anne; Foley, Teresa E. – Rowman & Littlefield Education, 2008
This book includes two main sections: a discussion of problem solving and a section on computation with whole numbers. A primary theme of the text is that problem solving sets the stage for meaning and conceptual development with respect to numbers. The section on problem solving includes numerous problem-solving activities that have a dual…
Descriptors: Comprehension, General Education, Learning Disabilities, Numbers
Rousselle, Laurence; Noel, Marie-Pascale – Cognition, 2007
Forty-five children with mathematics learning disabilities, with and without comorbid reading disabilities, were compared to 45 normally achieving peers in tasks assessing basic numerical skills. Children with mathematics disabilities were only impaired when comparing Arabic digits (i.e., symbolic number magnitude) but not when comparing…
Descriptors: Symbols (Mathematics), Reading Difficulties, Mathematics Education, Learning Disabilities
Okazaki, Masakazu; Koyama, Masataka – Educational Studies in Mathematics, 2005
When we consider the gap between mathematics at elementary and secondary levels, and given the logical nature of mathematics at the latter level, it can be seen as important that the aspects of children's logical development in the upper grades in elementary school be clarified. In this study we focus on the teaching and learning of "division with…
Descriptors: Grade 5, Misconceptions, Mathematics Instruction, Arithmetic
New York State Education Dept., Albany. Bureau of Curriculum Development. – 1989
This guide describes 47 number and numeration learning activities that can be used with elementary school students. These activities have been developed using the mathematics laboratory approach. This publication is designed to serve as a stimulant to encourage teachers to open their minds and employ their imagination in developing further…
Descriptors: Arithmetic, Cognitive Development, Concept Formation, Disabilities
Chick, Helen L., Ed.; Vincent, Jill L., Ed. – International Group for the Psychology of Mathematics Education, 2005
The first volume of the 29th annual conference of the International Group for the Psychology of Mathematics Education contains plenary lecture and research forum papers as listed below. Short oral communications papers, poster presentations, brief summaries of discussion groups, and working sessions are also included in the volume. The plenary…
Descriptors: Educational Theories, Elementary School Mathematics, Semiotics, Mathematics Education