Một nghiên cứu thực nghiệm về các khó khăn liên quan đến việc học khái niệm tập mở, tập đóng trong không gian mêtric

Abstract

In this paper, we present the experimental research’s results about the student’s difficulties in three universities: Ho Chi Minh city University of education, Sai Gon University and Dong Nai University when solving the task of considering the closedness, the openness of a set in metric space. These difficulties are generated by the epistemological obstacle associated with the development of open-set and closed-set concepts such as the generalizing of the open and closed interavls of and by the influence of institutional relations of university mathematics to open and closed sets.