Math Problem-Solving: Combining Cognitive & Metacognitive Strategies in a 7-Step Process

The Practical Teacher

Math Problem-Solving: Combining Cognitive & Metacognitive Strategies in a 7-Step Process

Introduction

Solving an advanced math problem independently requires the coordination of a number of complex skills. The student must have the capacity to reliably implement the specific steps of a particular problem-solving process, or cognitive strategy. At least as important, though, is that the student must also possess the necessary metacognitive skills to analyze the problem, select an appropriate strategy to solve that problem from an array of possible alternatives, and monitor the problem-solving process to ensure that it is carried out correctly. This issue of NASET’s Practical Teacher presents math problem-solving strategies that combine both cognitive and metacognitive elements (Montague, 1992; Montague & Dietz, 2009).

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