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早在近代科学的黎明时期,德国数学家莱布尼兹指出:数学的本质不在于它的对象,而在于它的方法。《全日制义务教育数学课程标准(试验稿)》在总体目标中也明确要求学生能够“获得适应未来社会和进一步发展所必需的重要数学知识(包括数学思想、方法、数学活动经验)以及基本的数学思想法和必要的应用技能”。由此不难看出,当今的数学学习除了基本知识、基本技能之外,数学思想方法也成为了数学教学的核心内容之一。一、数学思想方法的概述数学思想是一种人类的思维活动,学生将数量关系和物体的空间形式通过形成意识并且产生了对于数学知识、数学规律的认识。数学方法是指“人们解决数学问题的步
As early as the dawn of modern science, the German mathematician Leibniz pointed out: The essence of mathematics lies not in its object but in its method. The full-time Compulsory Education Mathematics Curriculum Standard (Trial Version) ”also explicitly requires that students“ be able to acquire important mathematical knowledge (including mathematical ideas, methods and experience in mathematical activities) necessary for the future society and further development as well as basic Mathematical thinking and the necessary application skills ”. It is not hard to see that today’s mathematical learning in addition to basic knowledge, basic skills, mathematical thinking methods has become one of the core content of mathematics teaching. First, an overview of mathematical thinking and methods Mathematical thinking is a kind of human thinking activities, students will be the number of relations and the spatial form of objects through the formation of awareness and generated knowledge of mathematical knowledge, mathematical laws. Mathematical method is "people solve the math problem step