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数学思想是对数学知识和方法本质的认识,数学方法是解决数学问题,体现数学思想的手段和工具。数学教学有两条线,一条是明线即数学知识的教学,一条是暗线即数学思想方法的教学。而数学思想方法是数学的精髓,是学生形成良好认知结构的纽带,是知识转化为能力的桥梁,是培养学生良好的数学观念和创新思维的载体,在教学中我们必须重视数学思想方法的渗透教学。因此,探讨数学思想方法教学的一系列问题,已成为数学现代教育研究中的一项重要课题。
Mathematical thinking is the understanding of the nature of mathematical knowledge and methods. Mathematical methods are the means and tools for solving mathematical problems and embodying mathematical ideas. There are two lines of mathematics teaching, one is the bright line that is the teaching of mathematical knowledge, one is the dark line that is the teaching of mathematical thinking. Mathematical thinking method is the essence of mathematics, is a link between students forming a good cognitive structure, is the bridge of knowledge into ability, is to train students good mathematical concepts and innovative thinking of the carrier, we must attach importance to the teaching of mathematical thinking Penetrating teaching. Therefore, to explore a series of problems in the teaching of mathematical thinking has become an important issue in the study of modern mathematics education.