基于真实问题的高等数学教学改革
Reform of Higher Mathematics Teaching Based on Real Problems

随着社会的不断进步，为契合社会对人才培养的多元化需求，推进高等数学教学改革已成为一项至关重要且不可或缺的进程。在当今的高等数学教育领域，普遍存在的一个现象是，许多学生普遍缺乏对深入学习高等数学的兴趣，更有甚者对之抱有一定的抵触情绪。这种心态直接影响了课程的学习成效，具体表现为课程通过率偏低，同时也制约了学生数学实践能力的发展。因此，针对学生的个性化特征，如何改善学生对高等数学的态度，提升其数学素养，成为高等数学教学改革亟待解决的问题。关键在于引导学生运用数学的视角、思维及技巧来洞察世界，鼓励他们积极应对现实挑战，主动解决问题。同时，培养学生的创新能力亦是改革的核心目标，促使他们不仅掌握数学知识，更能灵活运用，创造出新的解决方案。为此，我们需要更新教育教学的观念，积极改革课堂教学模式，秉持“以应用为目的，以必须够用为度”的核心理念，强调“联系实际，深化概念，注重应用，重视创新，提高素质”五位一体特色，致力于培养适应当前经济和社会发展需要的复合型人才。
With the development of society, in order to meet the diverse needs of cultivating talents, the reform of higher mathematics teaching in universities is an important and indispensable process. A common phenomenon in modern higher mathematics education is that most students have no interest in studying higher mathematics, and some even have a resistant attitude. This mindset directly impacts the effectiveness of the course, resulting in a lower pass rate and hindering the development of students’ practical mathematics skills. Therefore, addressing the individualized characteristics of students and improving their attitudes towards advanced mathematics, as well as enhancing their mathematical literacy, have become urgent issues that need to be resolved in the reform of advanced mathematics education. Simultaneously, cultivating students’ innovative abilities is also a core objective of the reform, aiming to ensure that they not only master mathematical knowledge but can also apply it flexibly to create new solutions. To this end, we need to update the concept of education and teaching, actively reform the classroom teaching mode, adhere to the core concept of “application as the purpose, and necessity as the degree”, emphasize the five-in-one characteristics of “connecting with reality, deepening concepts, focusing on application, valuing innovation, and improving quality”, and strive to cultivate compound talents that meet the needs of current economic and social development.