Teaching the rigorous concept of limit

The concept of limit of a sequence (or convergence of a sequence) has often been a challenge to students, be it secondary school students or university students. This is particularly apparent when the task at hand is to study it rigorously, namely, the epsilon-N approach or its equivalent form, the epsilon-delta approach. In this paper, we present findings on a project designed to facilitate the learning of limits for student teachers at the Hong Kong Institute of Education. With the help of information technology, the project goal is to get the students to realize the rigorous definition of limit of a sequence (or its equivalent forms) by themselves through a series of guided tasks. Copyright © 2011香港數學教育學會.