论文标题
通过在动态几何环境中探索发现极限的形式定义
Discovering the formal definition of limit through exploration in dynamic geometry environments
论文作者
论文摘要
极限的形式定义是一个数学思想，给大多数学生带来困难。因此，有必要提供引人入胜的活动，以构建学生对定义的理解。这项研究旨在阐明使用动态几何软件设计活动，以促进学生发现限制的正式定义。 48名学生参加了这项研究。定量和定性数据都是从学生对活动的反应和态度中收集的。学生的回答是通过使用动态的几何软件直接收集的，而在线问卷则用于收集学生的态度。然后，研究结果在本文中介绍。此外，还提出了一系列设计和实施动态几何环境，以促进学生对限制的形式定义的理解。
The formal definition of limit is one mathematical idea that gives difficulties to most students. Therefore, it is necessary to provide engaging activity in order to construct the students' understanding about the definition. This study aims to shed light on designing activities with dynamic geometry software to facilitate the students in discovering the formal definition of limit. Forty-eight students participated in the study. Both quantitative and qualitative data were collected from the students' responses in and attitudes toward the activities. The students' responses were gathered directly by using the dynamic geometry software whereas an online questionnaire was used to collect the students' attitudes. The results of the study then presented in this paper. Further, a set of suggestions in designing and implementing dynamic geometry environments to foster students' understanding about formal definition of limit was also proposed.
