“열린” 수학교육과 “열린수학”의 교육

“Open” Mathematics Education and Education of “Open Mathematics”

The difference between “open” mathematics education and education of “open mathematics” arises from the difference of teacher's understanding on the meaning of “teaching and learning mathematics” in the paper. Discusses the agreements and the worries of the researchers, the teachers, the students in korea, about open educationism, firstly. Three practical cases in mathematics lesson in korea are reviewed and analyzed in the respect of learning principles, secondly. Thirdly, the paper examines how to be modified two main learning principles, individualised learning and self-regulation of learning by teachers in the process of instruction. Finally, open mathematics advocated by Fisher(1984) and closed mathematics are compared especially in the probability unit. It concludes that the open approaches in mathematics lessons in korea need to improve with respect to teacher's attitude for didactic contents or mathematical knowledge. It is argued that teacher's open or flexible understanding of mathematical knowledge is no less important than that of their pupils.