“数列极限的概念”教学设计探索

The Concept of the Limits of the Series Teaching Design Exploration

摘要: 数列的极限是初等数学向高等数学过渡的关键内容，是学习高等数学的基础与核心，其思想贯穿于高等数学的始终。数列极限的概念高度抽象，是高等数学中最难理解的部分，数学史是帮助学员理解数学的一扇窗，本文结合多年的教学经验、实践和反思，沿着数列极限的发展历程将极限这个难点进行了分割，对“数列极限的概念”教学设计和实施方法进行探究，在拓展学生的科学文化素养的同时，也让学生在探索新知的课堂环境中逐步理解和掌握极限的概念。

Abstract: The limit of the sequence of numbers is the key content of the transition from elementary mathematics to advanced mathematics, and is the foundation and core of learning advanced mathematics. Its ideas run through the whole of advanced mathematics. The concept of the limit of a sequence of numbers is highly abstract and is the most difficult part to understand in advanced mathematics. The history of mathematics is a window to help students understand mathematics. This article combines years of teaching experience, practice and reflection, along the development process of the limit of the sequence, the difficulties are divided, and the teaching design and implementation methods of the “concept of sequence limit” are explored. While expanding students’ scientific and cultural literacy, it also allows students to gradually understand and master the concept of limit while exploring the new knowledge of the classroom environment.