고등학교 미적분학 지도에서의 수학사 활용에 관한 연구

Abstract

Calculus has been applied to various fields, such as natural science, statistics and economics. Nevertheless, most student don't understand fully what the calculus is because they don't understand the concept of limit, which is the basic of calculus, and they have to study in test-oriented environment. To solve these problems, a lot of interesting teaching methods should be developed. So, this thesis tried to find how mathematical history can be applied to the calculus in high school. First, the application of mathematical history and the effect were surveyed through the preceding studies. With these, the development of teaching and learning materials in classes related to the role of teachers was discussed, and the background of the calculus was researched with the mathematicians' ideas as the origin of calculus. Moreover, the examples on the application of mathematical history in high school mathematics were developed. The example which were made on the basis of mathematical contents and questions, will be applied to the preparation in teaching calculus and the mensuration by parts. This example will help teachers solve the problems in teaching calculus and improve the quality in mathematics education and the effect in learning. In this thesis, two examples regarding the application of mathematical history were presented. To enhance the teaching skill through the application of mathematical history, the following studies on the teaching and learning materials with mathematical history, and various teaching methods applied to real classes should be developed.