在动态几何环境中探索极限的形式定义
Discovering the formal definition of limit through exploration in dynamic geometry environments
摘要：
极限的形式定义是一个数学概念，给大多数学生带来了困难。因此，有必要提供参与性活动，以构建学生对定义的理解。本研究的目的在于提供一种利用动态几何软体设计活动的方法，以帮助学生发现极限的形式定义。48名学生参加了这项研究。从学生对活动的反应和态度中收集了定量和定性的数据。学生的反应是通过使用动态几何软件直接收集的，而在线问卷是用来收集学生的态度。然后将研究结果在本文中提出。最后，提出了一系列设计和实现动态几何环境的建议，以促进学生对极限形式定义的理解。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
