Exploration and Practice of Stratified Teaching Reform in Advanced Mathematics

高等数学作为现代数学的基石，对理工科学生至关重要。针对当前教学中学员基础差异大、两极分化严重、个性化发展不充分、拔尖人才培养不突出等问题，本文探索了高等数学分级教学模式，研究了分级教学的理论基础、实践方法及效果评估，旨在因材施教、按需培养。通过设置不同层次的教学班、优化教学内容和方法、创新考核评价方式等措施，分级教学有效激发了学生的学习热情，提升了教学质量，推动了基础与专业的融合发展，促进了教研水平的提升。Advanced Mathematics, as the cornerstone of modern mathematics, is crucial for science and engineering students. In response to issues such as significant differences in students’ foundations, severe polarization, insufficient individualized development, and a lack of focus on cultivating top talent in current teaching practices, this paper explores a stratified teaching model for Advanced Mathematics. It investigates the theoretical basis, practical methods, and effectiveness evaluation of stratified teaching, aiming to teach students according to their aptitude and meet their individual needs. Through measures such as setting up teaching classes at different levels, optimizing teaching content and methods, and innovating assessment and evaluation approaches, stratified teaching has effectively stimulated students’ enthusiasm for learning, improved the teaching quality, promoted the integrated development of basic and professional courses, and enhanced the level of teaching and research.