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David W. Braithwaite; Robert S. Siegler – 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
David W. Braithwaite; Robert S. Siegler – 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
Powell, Sarah R.; Driver, Melissa K.; Julian, Tyler E. – Journal of Learning Disabilities, 2015
Students often misinterpret the equal sign (=) as operational instead of relational. Research indicates misinterpretation of the equal sign occurs because students receive relatively little exposure to equations that promote relational understanding of the equal sign. No study, however, has examined effects of nonstandard equations on the equation…
Descriptors: Mathematics Instruction, Tutoring, Equations (Mathematics), Mathematical Concepts
Powell, Sarah R.; Driver, Melissa K. – Learning Disability Quarterly, 2015
Researchers and practitioners indicate students require explicit instruction on mathematics vocabulary terms, yet no study has examined the effects of an embedded vocabulary component within mathematics tutoring for early elementary students. First-grade students with mathematics difficulty (MD; n = 98) were randomly assigned to addition tutoring…
Descriptors: Mathematics Instruction, Vocabulary, Tutoring, Elementary School Students