浅谈新高考数学如何利用高考真题开展数学建模课程

How to Develop Mathematical Modeling Course by Using the True Questions in the New College Entrance Examination

摘要: 数学建模是一种通过数学方法来描述、分析、解决实际问题的过程，它作为一种教学方法，通过实际问题的解决培养了学生全面发展的能力，不仅提高了他们在数学领域的水平，同时也为他们未来的职业和学术生涯奠定了坚实的基础。因此，高中数学课堂应用数学建模思想解决实际问题也是大势所趋，而使用高考真题作为数学建模的实例是一个非常有效的方法，因为高考题目通常设计得很贴近实际问题，涵盖了多个数学领域的知识。对此，本文从六个主要部分系统性地探讨了如何利用高考真题来开展数学建模课程，为教育实践提供了有益的指导和启示。

Abstract: Mathematical modeling is a process that entails describing, analyzing, and solving practical problems through mathematical methods. As an instructional approach, it fosters students’ comprehensive development by engaging them in solving real-world problems. This not only enhances their proficiency in the realm of mathematics but also establishes a robust foundation for their future careers and academic pursuits. Consequently, the integration of mathematical modeling into high school mathematics classes has become a prevailing trend, aiming to address practical challenges. Employing college entrance examination questions as exemplars of mathematical modeling proves to be a highly effective method, as these questions are typically designed to closely resemble real-world problems and encompass knowledge from various mathematical domains. This paper systematically explores the utilization of authentic college entrance examination questions in conducting mathematical modeling courses, presenting insights across six main sections. The findings offer valuable guidance and enlightenment for educational practices.