복소수 개념에 관한 학생 오류 해석에 필요한 교사지식

Abstract

In this study, the teacher’s knowledge and its features necessary to analyze student errors about the concept of complex numbers are revealed. The instruments used for the diagnosis of and correcting student’s responses were administered to 36 pre-service teachers. The results and analysis of this study showed that. First, a teacher’s knowledge in the step of error judgement is the key to determine the direction and accuracy of diagnosis of and correcting student’s errors. Secondly, it was confirmed that there is the need for the precise knowledge about the representation of complex numbers and the knowledge about the essential prerequisites for the harmony of the complex number system and real number system. Thirdly, pre-service teachers need to have a critical approach to the definition and operations of complex numbers. Lastly, the knowledge about the internal and external value and the usefulness of complex numbers was proposed as the teacher's knowledge necessary to analyze student's errors about the concept of complex numbers.