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Braithwaite, 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)