高职一元函数微积分概念的教学策略研究

本文从分析高职学生学习数学概念的问题出发,阐述了通过实例引入概念以及数学概念、定理、法则等之间的联系,提高高职学生对数学概念的认识;介绍了如何引导高职学生用数学语言描述文字性数学概念、剖析数学概念涉及的数学思想与方法以及如何将实际问题转换成数学概念中的具体因素,从而提高学生的理解能力和应用能力;最后强调极限是微积分学习的基础,同时理清一元函数微积分中几组概念之间的区别与联系,提高学生的思维能力。

Teaching of the Concepts of Unary Function Calculus in Higher Vocational Education

Based on analysis of problems existing in mathematics learning of higher vocational students, this paper discusses on how to improve students ’ understanding of mathematical concepts by explaining the relationship between mathematical concepts, theorems, and laws through examples. It also introduces how to guide higher vocational students to describe textual mathematics concepts in mathematical language, analyze the mathematical ideas and methods involved in mathematical concepts, and how to convert practical problems into specific factors in mathematical concepts, thus improving students’ understanding ability and application ability. Finally, it emphasizes that the limit is the basis of calculus learning, and at the same time clarifies the differences and connections between several groups of concepts in unary function calculus to improve students’ thinking ability.