Abstract

The theory of representation, which has been an important topic of epistemology, has long history of study. But it has diverse meaning according to the fields of argument. In this paper the author set the meaning of mathematical representation as the interrelation of internal and external representations. With this concept, the following items were studied. 1. Survey on the concepts of mathematical representations. 2. Investigation of pedagogical significance of the mathematical representations, taking into account the characteristics of school mathematics. 3. Recommendation of principles for teaching representation to cope with the problems that are related with cause of disliking each domain of the secondary school mathematics. This study is expected to enable the development of teaching methods to help students strengthening their ability to comprehend mathematical sentences.

Keywords

• mathematical representation;
• internal representation;
• external representation;
• interrelation of internal and external representations;
• principles for teaching representations

• 수학적 표현;
• 내적표현;
• 외적표현;
• 수학적 표현의 의의;
• 수학적 표현 관련 수학기피 원인;