지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
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The purpose of the study was to investigate how students generalize and prove the factoring of x^n -1 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.
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참고문헌 (25)
참고문헌 신청
Artigue, M / 1998 / Teacher training as a key issue for the integration of computer technologies, In Information and Communications Technologies in School Mathematics / Chapman and Hall
Artigue, M / 2002 / Learning mathematics in a CAS environment: The genesis of a reflection about instrumentation and the dialectics between technical and conceptual work / In
Bell, F. H / 1980 / Teaching Elementary School Mathematics / Wm. C. Brown Company Publisher
Boers-van Oosterum, M. A. M / 1990 / Understanding of variables and their uses acquired by students in traditional and computer-intensive algebra / University of Maryland
Borwein, J / 2003 / Experimentation in Mathematics: Computational Paths to Discovery / AK Peters
Artigue, M / 2002 / Learning mathematics in a CAS environment: The genesis of a reflection about instrumentation and the dialectics between technical and conceptual work / In
Bell, F. H / 1980 / Teaching Elementary School Mathematics / Wm. C. Brown Company Publisher
Boers-van Oosterum, M. A. M / 1990 / Understanding of variables and their uses acquired by students in traditional and computer-intensive algebra / University of Maryland
Borwein, J / 2003 / Experimentation in Mathematics: Computational Paths to Discovery / AK Peters
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