“新课标”背景下高中数学建模教材编撰与推广

Mathematical modeling, one of six mathematics accomplishments defined in Curriculum Standards of the General High School Mathematics (2017 Edition, revised in 2020) (referred to as New Curriculum Standards), is becoming increasingly significant in the senior high school mathematics education for its prominent contribution to cultivating students' mathematical thinking and problem-solving ability. But the current teaching of mathematical modeling in the senior high school remains unsatisfactory because of the following deficiencies: the research content is simplistic, the link up of elementary mathematics and advanced mathematics is insufficient, the guidance of high viewpoint and international vision is lacking, the mathematical modeling cases are monotonous and closed, and teachers have limited bibliography besides teaching materials and lack modeling experience. To make up the deficiency above with the aim to meet the requirements of New Curriculum Standards, the project presents a comparative study of characteristics of Chinese and foreign senior high school mathematical modeling teaching, explores to realize cohesion and integration of the high school mathematical modeling and relevant contents in advanced mathematics, and designs systematically novel and open modeling cases. And a textbook featured by “high viewpoint, international vision, and new forms” will be compiled, which offers valuable references for teachers to implement mathematical modeling teaching, spreads mathematical modeling culture and develops students' core accomplishments of mathematical modeling.

作为《普通高中数学课程标准（2017年版2020年修订）》（简称《新课标》）下的六大数学核心素养之一，数学建模在高中数学教育中的重要性日益凸显，能有效地培养学生的数学思维和解决实际问题的能力。而当前高中数学建模教学中，探究内容过于简单，初等数学至高等数学的衔接不够，缺乏高观点和国际化视野指导；建模案例较为单调封闭，新颖性和开放性欠缺；教师除教材以外的参考书目不多，建模经验不足。为此，本项目旨在对标《新课标》要求，比较研究中外高中数学建模教学的特点，探索实现高中数学建模与高等数学中部分内容的衔接与融合，系统地设计新颖开放的建模案例，研究如何编撰一本具有“高观点、国际视野、新形态”的教材，为一线教师有效开展数学建模教学，传播数学建模文化，发展学生数学建模核心素养提供有力支撑。

作为《普通高中数学课程标准（2017年版2020年修订）》（简称《新课标》）下的六大数学核心素养之一，数学建模在高中数学教育中的重要性日益凸显，能有效地培养学生的数学思维和解决实际问题的能力。当前高中数学建模教学中，探究内容过于简单，初等数学至高等数学的衔接不够，缺乏高观点和国际化视野指导；建模案例较为单调封闭，新颖性和开放性欠缺；教师除教材以外的参考书目不多，建模经验不足。本项目对标《新课标》要求，比较研究中外高中数学建模教学的特点，实现高中数学建模与高等数学中部分内容的衔接与融合，系统地设计新颖开放的建模案例，编写了一部具有“高观点、国际视野、新形态”的教材，为一线教师有效开展数学建模教学，传播数学建模文化，发展学生数学建模核心素养提供有力支撑。

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