Applying the “Dual-Driving” Teaching Concept to Learning the Limit of Sequences

数列极限，作为高等数学这座巍峨大厦的基石，其教学改革的成功对于后续微积分、函数极限等复杂知识体系的构筑，发挥着举足轻重的推动作用。传统的教学模式往往偏重于理论的灌输，导致学生课堂参与度欠佳，学习热情不高。鉴于此，本研究独辟蹊径，创造性地提出了“双轮驱动”这一新颖的教学理念。该理念旨在通过双管齐下的教学策略，既强化理论基础，又提升学生实践参与度，为数列极限的教学注入新的活力，助力学生更好地掌握这一核心知识点，为后续的数学学习奠定坚实的基础。The limit of sequences, as the cornerstone of the towering edifice of higher mathematics, plays a crucial role in driving the construction of more complex knowledge systems, such as calculus and function limits. The success of its teaching reform significantly influences the understanding and mastery of these subsequent topics. Traditional teaching methods often emphasize theoretical instruction, which leads to low student engagement and lackluster enthusiasm for learning. In response to this, this study takes an innovative approach by creatively proposing the “Dual-Driving” teaching concept. This concept aims to employ a dual-strategy approach that strengthens theoretical foundations while enhancing student participation in practice. The goal is to inject new vitality into the teaching of sequence limits, helping students better master this core concept and laying a solid foundation for their future mathematical studies.