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Direct linkBraithwaite, David W.; Siegler, Robert S. – Developmental Science, 2018
Many students' knowledge of fractions is adversely affected by whole number bias, the tendency to focus on the separate whole number components (numerator and denominator) of a fraction rather than on the fraction's magnitude (ratio of numerator to denominator). Although whole number bias appears early in the fraction learning process and under…
Descriptors: Numbers, Bias, Fractions, Age Differences
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)
Download full textSiegler, 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)
Siegler, Robert S.; Pyke, Aryn A. – Grantee Submission, 2013
We examined developmental and individual differences in 6th and 8th graders' fraction arithmetic and overall mathematics achievement and related them to differences in understanding of fraction magnitudes, whole number division, executive functioning, and metacognitive judgments within a crosssectional design. Results indicated that the difference…
Descriptors: Age Differences, Individual Development, Individual Differences, Mathematics
Booth, Julie L.; Siegler, Robert S. – Developmental Psychology, 2006
The authors examined developmental and individual differences in pure numerical estimation, the type of estimation that depends solely on knowledge of numbers. Children between kindergarten and 4th grade were asked to solve 4 types of numerical estimation problems: computational, numerosity, measurement, and number line. In Experiment 1,…
Descriptors: Individual Differences, Individual Development, Numbers, Computation
Siegler, Robert S. – Journal of Cognition and Development, 2004
Interest in U-shaped development has itself undergone a U-shaped progression. Twenty-five years ago, interest in U-shaped development was high. This interest was evident at a 1978 conference in Tel Aviv on "U-shaped Behavioral Growth" that resulted in the publication of a book of the same title 4 years later (Strauss, 1982). The breadth…
Descriptors: Developmental Psychology, Individual Development, Cognitive Development, Child Development
