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Direct linkBraithwaite, David W.; Siegler, Robert S. – Journal of Educational Psychology, 2021
Learning fractions is a critical step in children's mathematical development. However, many children struggle with learning fractions, especially fraction arithmetic. In this article, we propose a general framework for integrating understanding of individual fractions and fraction arithmetic, and we use the framework to generate interventions…
Descriptors: Fractions, Addition, Middle School Mathematics, Middle School Students
Download full textBraithwaite, David W.; Siegler, Robert S. – Grantee Submission, 2021
Learning fractions is a critical step in children's mathematical development. However, many children struggle with learning fractions, especially fraction arithmetic. In this article, we propose a general framework for integrating understanding of individual fractions and fraction arithmetic, and we use the framework to generate interventions…
Descriptors: Fractions, Addition, Middle School Mathematics, Middle School Students
Braithwaite, David W.; Siegler, Robert S. – Grantee Submission, 2018
Fraction arithmetic is among the most important and difficult topics children encounter in elementary and middle school mathematics. Braithwaite, Pyke, and Siegler (2017) hypothesized that difficulties learning fraction arithmetic often reflect reliance on associative knowledge--rather than understanding of mathematical concepts and procedures--to…
Descriptors: Correlation, Fractions, Arithmetic, Mathematics Instruction
Braithwaite, David W.; Siegler, Robert S. – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2018
Fraction arithmetic is among the most important and difficult topics children encounter in elementary and middle school mathematics. Braithwaite, Pyke, and Siegler (2017) hypothesized that difficulties learning fraction arithmetic often reflect reliance on associative knowledge--rather than understanding of mathematical concepts and procedures--to…
Descriptors: Addition, Arithmetic, Correlation, Foreign Countries
Braithwaite, David W.; Siegler, Robert S. – Grantee Submission, 2017
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 integrated magnitude (ratio of numerator to denominator). Although whole number bias appears early in the fraction learning process…
Descriptors: Numbers, Bias, Fractions, Age Differences
