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数学思想是指现实世界的空间形式和数量关系反映到人的意识之中,经过思维活动而产生的结果,是对数学事实与数学理论的本质认识;数学方法是以数学为工具进行科学研究的方法。数学思想与数学方法是数学知识中奠基性成分,是从数学内容中提炼出来的数学学科的精髓,是将数学知识转化为数学能力的桥梁。
Mathematical thinking refers to the reality of the spatial form and the number of relations reflected in the human consciousness, through the result of thinking activities is the result of mathematical facts and mathematical theory of the nature of understanding; mathematics is based on mathematical tools for scientific research method. Mathematical thinking and mathematical methods are the foundational components of mathematical knowledge, the essence of mathematical disciplines extracted from mathematical content, and the bridge of transforming mathematical knowledge into mathematical ability.