数学史料的教学价值及案例分析

Teaching Value and Case Analysis of Mathematics Historical Sources

微积分思想是微积分知识的精髓,是知识转化为能力的桥梁。只有充分认识和领悟微积分思想、方法的来源,学生才能真正地理解、领会与应用微积分知识来分析、解决实际问题。在《高等数学》课程教学过程中,实施融入数学史素材,挖掘微积分思想源头,充实教学内容、更新教学设计、丰富课堂教学方式和课后练习,以求达到降低数学内容抽象性和学生学习数学的恐惧感,提升学生学习数学的兴趣与应用数学的意识和发现、分析、解决问题的能力。

Calculus ideas are the essence of calculus. They can help us to transform our knowledge into ability. Students can really understand, apply calculus to analyze and solve practical problems only if they fully recognize the origins of the ideas and methods of calculus. In the process of higher mathematics teaching, in order to reduce the abstractness of mathematics and students＂ fear in learning mathematics, improve students＂ interest and consciousness of applying mathematics and the ability to discover, analyze and solve problems, we carry out some reforms and explorations on integrating historical materials of mathematics with teaching content, excavating thought origins of calculus, enriching teaching content, updating instructional design, employing various teaching methods and exercises, etc.