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Braithwaite, 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
Fuchs, Lynn S.; Malone, Amelia S.; Schumacher, Robin F.; Namkung, Jessica; Hamlett, Carol L.; Jordan, Nancy C.; Siegler, Robert S.; Gersten, Russell; Changas, Paul – Journal of Educational Psychology, 2016
The main purposes of this study were to test the effects of teaching at-risk 4th graders to provide explanations for their mathematics work and examine whether those effects occur by compensating for limitations in cognitive processes. We randomly assigned 212 children to 3 conditions: a control group and 2 variants of a multicomponent fraction…
Descriptors: Grade 4, Elementary School Mathematics, Elementary School Students, Cognitive Processes
Does Working Memory Moderate the Effects of Fraction Intervention? An Aptitude-Treatment Interaction
Fuchs, Lynn S.; Schumacher, Robin F.; Sterba, Sonya K.; Long, Jessica; Namkung, Jessica; Malone, Amelia; Hamlett, Carol L.; Jordan, Nancy C.; Gersten, Russell; Siegler, Robert S.; Changas, Paul – Journal of Educational Psychology, 2014
This study investigated whether individual differences in working memory (WM) moderate effects of 2 variations of intervention designed to improve at-risk 4th graders' fraction knowledge. We also examined the effects of each intervention condition against a business-as-usual control group and assessed whether children's measurement interpretation…
Descriptors: Short Term Memory, Mathematics, Intervention, Mathematics Instruction
Siegler, Robert S.; Ramani, Geetha B. – Journal of Educational Psychology, 2009
A theoretical analysis of the development of numerical representations indicated that playing linear number board games should enhance preschoolers' numerical knowledge and ability to acquire new numerical knowledge. The effect on knowledge of numerical magnitudes was predicted to be larger when the game was played with a linear board than with a…
Descriptors: Numeracy, Number Concepts, Arithmetic, Games