Many children and adults have difficulty gaining a comprehensive understanding of rational numbers. Although fractions are taught before decimals and percentages in many countries, including the USA, a number of researchers have argued that decimals are easier to learn than fractions and therefore teaching them first might mitigate children's…

Many children and adults have difficulty gaining a comprehensive understanding of rational numbers. Although fractions are taught before decimals and percentages in many countries, including the USA, a number of researchers have argued that decimals are easier to learn than fractions and therefore teaching them first might mitigate children's…

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…

We examined relations between symbolic and non-symbolic numerical magnitude representations, between whole number and fraction representations, and between these representations and overall mathematics achievement in fifth graders. Fraction and whole number symbolic and non-symbolic numerical magnitude understandings were measured using both…

Proposes five generalizations on existing knowledge, learning, and their interaction, and discusses evidence for these from recent research on children's learning, memory, conceptual understanding, and problem solving. (Author/AOS)

This paper describes the rule-assessment approach to cognitive development. The basic question that motivated the rule-assessment approach is how people's existing knowledge influences their ability to learn. Research using the rule-assessment approach is summarized in terms of eight conclusions, each illustrated with empirical examples.…

Reviews the major contributions of Alfred Binet. Explains why the fame of the Binet-Simon Intelligence Scale was so long lasting whereas that of his other contributions was so fleeting. Discusses implications of his contributions for current efforts to formulate unified theories of cognition and cognitive development. (Author/GLR)

Maintains that recent theoretical and methodological advances have sparked renewed interest in studying children's learning. Describes consistent and interesting findings regarding how children learn and intriguing proposals regarding mechanisms underlying learning. Argues that increasing the focus on children's learning promises practical…

Discusses metacognitive and associative models of children's strategy discovery and use. Contends that models based on only one type of mechanism cannot entirely account for observed variability and constraint revealed by microgenetic studies of children's strategy change. Proposes a new model of children's strategy development in which…

This book reviews the contemporary state of knowledge on developmental transitions between 5 and 7 years. Contributions are: (1) "Interpreting Developmental Transitions" (Arnold Sameroff; Marshall Haith); (2) "The Child's Entry into the 'Age of Reason'" (Sheldon White); (3) "Is There a Neural Basis for Cognitive…