대수영역의 분석 및 학습지도에 관한 고찰 - 10 단계를 중심으로

Abstract

Every study is based on mathematics. And so, teachers have to teach mathematical thoughts and its treatment-method. The concepts of the algebraic structure is the most importance in the study of mathematics. In our schools, students meet the algebraic structure of abstract algebra, but they are lacking in understanding it theoretically because its contents consist of passive questions solved by memorization. Thus we deal with the contents, principle and law of algebraic structure in high school. First of all, this study is composed of a field of algebraic in 7th curriculum in high school, and then we introduce the definitions and basic theorems with respect to the structure of groups, rings and fields. We analyze the algebraic structures and some examples which are applied on mathematics textbooks in high school. The result of the study is expected to apply in of affective teaching methods which are concerned with algebraic concepts and structures to teacher and these help high school students to understand the algebraic concepts and structures.