2013Journal on Mathematics EducationOpen access

Mathematical Problem Representation and Mathematical Problem Schema

Jianlan Tang

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Abstract

To represent and construct schema of mathematical problems are two key elements in the process of mathematical problem solving.The two factors contact each other: the mathematics problem representation is the basis of the mathematical problem schema,while the schema activation,participation and migration promote the problem representation.Therefore,paying more attention to mathematical problem representation and schema construction in the teaching has higher value and significance to improve the mathematics problem-solving ability and develop students' cognitive structure.

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What this paper is about

To represent and construct schema of mathematical problems are two key elements in the process of mathematical problem solving.The two factors contact each other: the mathematics problem representation is the basis of the mathematical problem schema,while the schema activation,participation and migration promote the problem representation.Therefore,paying more attention to mathematical problem representation and schema construction in the teaching has higher value and significance to improve the mathematics problem-solving ability and develop students' cognitive structure.

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Available abstract

To represent and construct schema of mathematical problems are two key elements in the process of mathematical problem solving.The two factors contact each other: the mathematics problem representation is the basis of the mathematical problem schema,while the schema activation,participation and migration promote the problem representation.Therefore,paying more attention to mathematical problem representation and schema construction in the teaching has higher value and significance to improve the mathematics problem-solving ability and develop students' cognitive structure.

Key concepts: Schema (genetic algorithms), Mathematical problem, Mathematics education, Representation (politics), Mathematical structure, Cognition, Mathematics, Computer science

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