CAS 어플리케이션을 이용한 χn-1의 인수분해 일반화 과정에 대한 질적 분석 = A Qualitative analysis of students` factorization of χn-1using a CAS application

다국어 초록 (Multilingual Abstract)

The purpose of the study was to investigate how students generalize and prove the factoring of using a Computer Algebra System application and the role of CAS in this process. The theoretical framework consists of the anthropological and the instrumental approach. In particular, the basis of the Task-Technique-Theorization(T-T-T) frame adapted form Chevallard`s anthropological approach of Didactics is utilized. We found that Technique-Theorization emerges in mutual interaction between paper-and-pencil techniques and computer algebra techniques. And this interaction led to the students` theoretical reflection and conceptual understanding. In this process, we could identify three epistemic role of CAS : the role of checking the result, the role of cognitive stimulation and the role of extending thinking. Therefore CAS plays on a epistemic role of checking the result of a task, stimulating the student` cognition and extending their thinking as well as pragmatic role of producing the result of a input.