2003Journal on Mathematics EducationRequires access

Nature and Function of Mathematics Reasoning and the Capacity Fostering

Ning Lian-hua

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Abstract

Mathematics reasoning consisted of deductive reasoning, proportional reasoning and practical reasoning etc. The deductive reasoning was the nature of mathematical reasoning. The two major functions of mathematical reasoning were thinking and understanding. It was vitally important to foster mathematical deductive reasoning in the early grades. The arrangement of curricular and the implementation of teaching strategies should create the chance and environment of reasoning in order to form the air of reasoning in the mathematical classroom.

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What this paper is about

Mathematics reasoning consisted of deductive reasoning, proportional reasoning and practical reasoning etc. The deductive reasoning was the nature of mathematical reasoning. The two major functions of mathematical reasoning were thinking and understanding. It was vitally important to foster mathematical deductive reasoning in the early grades. The arrangement of curricular and the implementation of teaching strategies should create the chance and environment of reasoning in order to form the air of reasoning in the mathematical classroom.

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Available abstract

Mathematics reasoning consisted of deductive reasoning, proportional reasoning and practical reasoning etc. The deductive reasoning was the nature of mathematical reasoning. The two major functions of mathematical reasoning were thinking and understanding. It was vitally important to foster mathematical deductive reasoning in the early grades. The arrangement of curricular and the implementation of teaching strategies should create the chance and environment of reasoning in order to form the air of reasoning in the mathematical classroom.

Key concepts: Deductive reasoning, Verbal reasoning, Analytic reasoning, Qualitative reasoning, Logical reasoning, Reasoning system, Mathematics education, Function (biology)

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