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Sophian, Catherine; And Others – Cognition and Instruction, 1995
Two experiments examined children's early judgments about numerical relations. Found that children as young as three years old are already adept at reasoning about relations between sets, independently of their ability to form numerical representations. Results support the existence of protoquantitative schemas, or ways of thinking about relations…
Descriptors: Cognitive Development, Cognitive Processes, Comprehension, Generalization
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Lawson, Michael J.; Chinnappan, Mohan – Cognition and Instruction, 1994
The problem-solving performance of high-achieving (HA) and low-achieving (LA) 11th-grade students was compared during solution of geometry problems using a think-aloud procedure. Detailed analysis of problem-solving protocols indicated that HA students not only accessed a greater body of geometrical knowledge but also used that knowledge more…
Descriptors: Academic Achievement, Cognitive Processes, Comparative Analysis, Geometry