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De Smedt, Bert – Research in Mathematics Education, 2019
In this commentary, I reflect from a neurocognitive perspective on the four chapters on natural number development included in this section. These chapters show that the development of seemingly basic number processing is much more complex than is often portrayed in neurocognitive research. The chapters collectively illustrate that children's…
Descriptors: Numbers, Cognitive Processes, Difficulty Level, Cognitive Development

Freeman, Norman H.; Antonucci, Cristina; Lewis, Charlie – Cognition, 2000
Two experiments examined preschoolers' performance on test relying on the uniqueness principle for using evidence from a miscount in inferring a counterfactual cardinal number, with subtests probing associated number-skills. All the 5-year-olds and half the preschoolers passed the test. Results suggest that a crucial preschool step is to start…
Descriptors: Cognitive Development, Computation, Inferences, Number Concepts

Belcastro, Frank P. – RE:view, 1989
The article suggests that Belcastro rods, which retain the basic properties of Cuisenaire rods but allow instant identification by touch, may be useful in teaching mathematical concepts to blind children. Drawings illustrate use of the rods in teaching such concepts as addition and subtraction. (Author/DB)
Descriptors: Blindness, Cognitive Development, Concept Formation, Elementary Secondary Education

Chard, David; Gersten, Russell – Journal of Special Education, 1999
Examines the concept of number sense in mathematics learning, compares this concept to that of phonological awareness in reading, and urges application of existing research to improving mathematics instruction for students with mathematical disabilities. Reviews research on building automaticity with basic facts, adjusting instruction to address…
Descriptors: Arithmetic, Cognitive Development, Concept Formation, Dyscalculia

Caulfield, Rick – Early Childhood Education Journal, 2000
Examines current research on brain development, focusing on infants' ability to understand basic numerical concepts and arithmetic operations. Asserts that as the brain undergoes dramatic transformations, it already has a built-in capacity to understand basic numerical concepts. Recommends that parents and professionals engage in activities…
Descriptors: Brain, Cognitive Development, Computation, Concept Formation

Hiebert, James – Educational Studies in Mathematics, 1988
Presented is a theory of how competence with written mathematical symbols develops, tracing a succession of cognitive processes that cumulate to yield competence. Arguments supporting the theory are drawn from the history, philosophy, and psychology of mathematics. (MNS)
Descriptors: Cognitive Development, Cognitive Processes, Educational Research, Elementary Secondary Education
Jones, Graham A.; Thornton, Carol A. – Focus on Learning Problems in Mathematics, 1993
Describes Vygotsky's zones of proximal development, the importance of social interaction in learning through problem solving, and the benefits of modeling. Presents three implications for teaching and learning mathematics based on a teaching experiment focusing on these constructs. (MDH)
Descriptors: Cognitive Development, Concept Formation, Instructional Effectiveness, Interpersonal Relationship

Elkind, David – Theory into Practice, 1989
This article elaborates on three principles which are the foundation of the developmental approach to early childhood education. These principles are multiage grouping, nongraded curricular materials, and interactive teaching. (IAH)
Descriptors: Child Development, Cognitive Development, Developmental Stages, Developmentally Appropriate Practices

Bauch, Jerold P.; Hsu, Huei-hsin Joyce – Arithmetic Teacher, 1988
Argues that, though considerable difference of view is evident between Montessori and Piaget about the importance of certain concepts and level of cognitive development necessary for genuine understanding, the ideas and methods first presented by Montessori 80 years ago stand up well when evaluated through the lens of current research. (PK)
Descriptors: Cognitive Development, Concept Formation, Early Childhood Education, Elementary Education

Duffin, Janet; Simpson, Adrian – For the Learning of Mathematics, 1991
Presents the reactions of a mathematics educator and a mathematician to a seven-year-old student's response for finding square numbers. Reflects on the mathematician's focus on the mathematics of the problem and the mathematics educator's focus on the student's systematic way of working, and discusses the common focus of student creativity. (MDH)
Descriptors: Cognitive Development, Cognitive Processes, Creative Thinking, Creativity