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Clements, Douglas H.; Sarama, Julie; Baroody, Arthur J.; Joswick, Candace; Wolfe, Christopher B. – American Educational Research Journal, 2019
Although basing instruction on learning trajectories (LTs) is often recommended, there is little direct evidence regarding the premise of a LT approach--that instruction should be presented (only) one LT level beyond a child's present level. We evaluated this hypothesis in the domain of early shape composition. One group of preschoolers, who were…
Descriptors: Instructional Effectiveness, Mathematics Achievement, Mathematics Instruction, Geometric Concepts
Ramani, Geetha B.; Siegler, Robert S. – Journal of Applied Developmental Psychology, 2011
We compared the learning from playing a linear number board game of preschoolers from middle-income backgrounds to the learning of preschoolers from low-income backgrounds. Playing this game produced greater learning by both groups than engaging in other numerical activities for the same amount of time. The benefits were present on number line…
Descriptors: Low Income, Preschool Children, Comparative Analysis, Numeracy
Fuchs, Lynn S.; Schumacher, Robin F.; Long, Jessica; Namkung, Jessica; Hamlett, Carol L.; Cirino, Paul T.; Siegler, Robert; Changas, Paul – Grantee Submission, 2013
The purposes of this study were to investigate the effects of an intervention designed to improve at-risk 4th graders' understanding of fractions and to examine the processes by which effects occurred. The intervention focused more on the measurement interpretation of fractions; the control condition focused more on the part-whole interpretation…
Descriptors: At Risk Students, Elementary School Students, Grade 4, Elementary School Mathematics

Fujimura, Nobuyuki – Journal of Educational Psychology, 2001
One hundred forty fourth graders were asked to solve proportion problems about juice-mixing situations both before and after an intervention that used a manipulative model or other materials in three experiments. Results indicate different approaches appear to be necessary to facilitate children's proportional reasoning, depending on the reasoning…
Descriptors: Children, Fundamental Concepts, Grade 4, Individual Differences