Instruction and Cognitive Change in Mathematics

Abstract

A methodology for studying change during instruction in content-specific cognitive processes is presented. The methodology borrows both from the cognitive mediational approach in instructional effectiveness research and the instructional approach in cognitive psychology research. It is argued that learning from instruction must be understood in terms of the way in which instruction changes the cognitive processes used to solve tasks. The methodology is illustrated by summarizing a project on instructing middle-school students in semantic processes for solving decimal-fraction problems. The benefits of the methodology, such as tracing the effects of instruction on performance change, are discussed.

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