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Kainulainen, Mikko; McMullen, Jake; Lehtinen, Erno – Cognition and Instruction, 2017
Difficulties with rational numbers have been explained by a natural number bias, where concepts of natural numbers are inappropriately applied to rational numbers. Overcoming this difficulty may require a radical restructuring of previous knowledge. In order to capture this development, we examined third- to fifth-grade students' understanding of…
Descriptors: Numbers, Foreign Countries, Grade 3, Grade 4
Jitendra, Asha K.; Nelson, Gena; Pulles, Sandra M.; Kiss, Allyson J.; Houseworth, James – Exceptional Children, 2016
The purpose of the present review was to evaluate the quality of the research and evidence base for representation of problems as a strategy to enhance the mathematical performance of students with learning disabilities and those at risk for mathematics difficulties. The authors evaluated 25 experimental and quasiexperimental studies according to…
Descriptors: Mathematics Instruction, Mathematics Skills, Mathematics Achievement, Learning Problems
Ye, Ai; Hansen, Nicole; Resnick, Ilyse; Carrique, Jessica; Jordan, Nancy – Society for Research on Educational Effectiveness, 2016
The purpose of the present study was to reveal the developmental pathway from third grade cognitive competencies to sixth grade conceptual and procedural fraction knowledge through the intervening whole numerical skills at fifth grade. The study used empirical data that come from 536 students in nine schools across two Delaware public school…
Descriptors: Fractions, Number Concepts, Mathematics Skills, Numeracy

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