数学建模对高中生构建数学底层思维的作用及其教学实施建议

数学底层思维即用数学的眼光观察世界、用数学的思维分析世界以及用数学的语言表达世界,是人们面对自然和社会中纷繁多样的现象和问题时,所展现的自发的、不依赖监督的、融汇数学学科核心素养的思维方式.作为国家高中新课程标准中数学六大核心素养之一的数学建模,是培养学生数学底层思维的良好载体,对人才培养和社会发展均起到良好的促进作用.本文主要阐述了数学建模对高中生构建数学底层思维的作用,并结合教学实例给出教学实施建议.

The Importance of Mathematical Modeling in Developing High School Students′Underlying Mathematical Thinking and Teaching Suggestions

The underlying mathematical thinking means observing the world from the view of mathematics,using mathematics to analyze the world and mathematical language to express the world.It is a spontaneous,self-driven and integrated way of thinking,which integrates the core competences of mathematics when students study various phenomena and problems in nature and society.As one of the six core competences of mathematics in the new National High School Curriculum Standard,mathematical modeling plays a vital part in developing students′underlying thinking in mathematics.It is important in students′education and social development in general.This paper explores the importance of mathematical modeling in developing the underlying thinking of mathematics for senior high school students,and gives teaching suggestions based on examples.