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Goffin, Celia; Ansari, Daniel – Mind, Brain, and Education, 2019
What is the nature of the relationship between different lower-level numerical skills and their role in developing arithmetic skills? We consider the hypothesis of a reciprocal relationship between the development of symbolic (e.g., Arabic numerals) and nonsymbolic (e.g., arrays of objects) numerical magnitude processing. Evidence for…
Descriptors: Numeracy, Young Children, Numbers, Arithmetic
Stephan E. Vogel; Bert De Smedt – npj Science of Learning, 2021
The development of numerical and arithmetic abilities constitutes a crucial cornerstone in our modern and educated societies. Difficulties to acquire these central skills can lead to severe consequences for an individual's well-being and nation's economy. In the present review, we describe our current broad understanding of the functional and…
Descriptors: Cognitive Ability, Mathematics Skills, Numeracy, Arithmetic
MacDonald, Beth L. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2018
This proposal explores relationships between young children's unit development/coordination and young children's subitizing. In particular, this theoretical commentary considers students' degrees of abstraction, students' development of actions on units, and students' operations with units when subitizing. As a result of this commentary, this…
Descriptors: Young Children, Early Childhood Education, Number Concepts, Numeracy
Bishop, Jessica P.; Lamb, Lisa L.; Philipp, Randolph A.; Whitacre, Ian; Schappelle, Bonnie P. – Research in Mathematics Education, 2018
We share a subset of the 41 underlying strategies that comprise five ways of reasoning about integer addition and subtraction: formal, order-based, analogy-based, computational, and emergent. The examples of the strategies are designed to provide clear comparisons and contrasts to support both teachers and researchers in understanding specific…
Descriptors: Thinking Skills, Numbers, Numeracy, Comparative Analysis
Verschaffel, Lieven; Lehtinen, Erno; Van Dooren, Wim – ZDM: The International Journal on Mathematics Education, 2016
In this commentary we take a critical look at the various studies being reported in this issue about the relationship between cognitive neuroscience and mathematics, from a mathematics education viewpoint. After a discussion of the individual contributions, which we have grouped into three categories--namely neuroscientific studies of (a)…
Descriptors: Neurosciences, Mathematics Education, Correlation, Scientific Research
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
Ertle, Barbrina B. – Journal of Early Childhood Teacher Education, 2017
This article reports on the findings of manipulative analyses performed by preservice and in-service teachers in an early childhood teacher education program mathematics methods course. The activities are intended to model and promote mathematical analyses for better discrimination between mathematics manipulatives by early childhood teachers.…
Descriptors: Teaching Methods, Manipulative Materials, Mathematics Instruction, Preschool Teachers
Ervin, Heather K. – International Journal of Research in Education and Science, 2017
It is well documented in literature that rational number is an important area of understanding in mathematics. Therefore, it follows that teachers and students need to have an understanding of rational number and related concepts such as fraction multiplication and division. This practitioner reference paper examines models that are important to…
Descriptors: Mathematics Education, Fractions, Multiplication, Arithmetic
Cipora, Krzysztof; Patro, Katarzyna; Nuerk, Hans-Christoph – Mind, Brain, and Education, 2015
The mental number line metaphor describes how numbers are associated with space. These spatial-numerical associations (SNA) are subserved by parietal structures (mainly intraparietal sulcus [IPS] and posterior superior parietal lobule [PSPL]). Generally, it is assumed that this association is a basic cornerstone for arithmetic skills. In this…
Descriptors: Arithmetic, Spatial Ability, Mathematical Concepts, Mathematics Skills
Siegler, Robert S.; Fazio, Lisa K.; Bailey, Drew H.; Zhou, Xinlin – Grantee Submission, 2013
Recent research on fractions has broadened and deepened theories of numerical development. Learning about fractions requires children to recognize that many properties of whole numbers are not true of numbers in general and also to recognize that the one property that unites all real numbers is that they possess magnitudes that can be ordered on…
Descriptors: Number Concepts, Numeracy, Cognitive Processes, Arithmetic
van Rooijen, Maaike; Verhoeven, Ludo; Steenbergen, Bert – Developmental Medicine & Child Neurology, 2011
Children with cerebral palsy (CP) often have problems with arithmetic, but the development of numerical abilities in these children has received only minor attention. In comparison, detailed accounts have been written on the arithmetic abilities of typically developing children, but a theoretical framework is still lacking. A promising perspective…
Descriptors: Numeracy, Cerebral Palsy, Children, Arithmetic
Kajoro, Peter – Mathematics Teaching, 2012
The supposed pre-eminence of an external examination can exert a disproportionate influence on a curriculum and the associated learning and teaching. Teaching can easily subordinate learning and understanding to curriculum coverage if the society develops a culture that appears to make such demands. This study focuses on Tanzania and provides the…
Descriptors: Foreign Countries, Comprehension, Mathematics Instruction, Arithmetic
Ramani, Geetha B.; Siegler, Robert S. – Journal of Applied Developmental Psychology, 2011
We compared the learning from playing a linear number board game of preschoolers from middle-income backgrounds to the learning of preschoolers from low-income backgrounds. Playing this game produced greater learning by both groups than engaging in other numerical activities for the same amount of time. The benefits were present on number line…
Descriptors: Low Income, Preschool Children, Comparative Analysis, Numeracy
Navi, K.; Molahosseini, A. S.; Esmaeildoust, M. – IEEE Transactions on Education, 2011
The residue number system (RNS) has been an important research field in computer arithmetic for many decades, mainly because of its carry-free nature, which can provide high-performance computing architectures with superior delay specifications. Recently, research on RNS has found new directions that have resulted in the introduction of efficient…
Descriptors: Number Systems, Teaching Methods, Computer System Design, Computer Science Education
Patel, Pooja; Canobi, Katherine Helen – Educational Psychology, 2010
Preschoolers' conceptual understanding and procedural skills were examined so as to explore the role of number-words and concept-procedure interactions in their additional knowledge. Eighteen three- to four-year-olds and 24 four- to five-year-olds judged commutativity and associativity principles and solved two-term problems involving number words…
Descriptors: Numbers, Word Problems (Mathematics), Problem Solving, Number Concepts