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Direct linkClements, 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
Clements, Douglas H.; Sarama, Julie; Baroody, Arthur J.; Joswick, Candace; Wolfe, Christopher B. – Grantee Submission, 2019
Although basing instruction on learning trajectories (LTs) is often recommended, there is little direct evidence regarding the premise of an 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
Belenky, Daniel M.; Nokes, Timothy J. – Journal of Problem Solving, 2009
How does the type of learning material impact what is learned? The current research investigates the nature of students' learning of math concepts when using manipulatives (Uttal, Scudder, & DeLoache, 1997). We examined how the type of manipulative (concrete, abstract, none) and problem-solving prompt (metacognitive or problem-focused) affect…
Descriptors: Instructional Materials, Manipulative Materials, Mathematical Concepts, Metacognition
