理工科大学大面积微积分研究性教学的探索与实践

Exploration and Practice of Research-Type Teaching for Large-Area Calculus in Universities of Science and Engineering

大学数学研究性教学是目前数学教育改革的重点与热点,是培养学生尽快形成数学思想,提前参与科研活动的一种教学模式.在大面积大学数学微积分教学中可以通过数学史的讲解提高学生学习数学的兴趣,应用现代教学方法实现可视化教学,转变教学方式实行开放式教学,灵活有效的考核方式可以提高大学生参与的积极性.将课堂的主动权由老师交与学生,经过不断的探索与研究,将研究性教学建设成大学最有效的教学方法.

Mathematical education reform, which can be considered as a teaching mode cultivating students to form mathematical thinking as soon as possible and to participate in research activities in advance. During the teaching of, for instance, calculus of large-scale university mathematics, we can enhance students＇ interests in studying mathematics by means of introduction of mathematical history, realize visual teaching by applying modern teaching approaches, implement open-way teaching by transforming teaching modes, and increase students＇ participation enthusiasm with flexible and effective assessment methods. We can transfer the initiative rights from teachers to students, and build the research-type teaching as the most efficient teaching method in universities through continuous exploration and investigation.