• 한국수학교육학회지시리즈A:수학교육
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• 제51권1호
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• pp.1-19
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• 2012

In this study, contents of 'the 2007 revised curriculum handbook' and 16 kinds of mathematics textbooks were analyzed first. The purpose of this study is to examine the understanding state of students at general high schools by making questionnaires to survey the understanding state on contents of chapter of complex number based on above analysis. Results of research can be summarized as follows. First, the content of chapter of complex number in textbook was not logically organized. In the introduction of imaginary number unit, two kinds of marks were presented without any reason and it has led to two kinds of notation of negative square root. There was no explanation of difference between delimiter symbol and operator symbol at all. The concepts were presented as definition without logical explanations. Second, students who learned with textbook in which problems were pointed out above did not have concept of complex number for granted, and recognized it as expansion of operation of set of real numbers. It meant that they were confused of operation of complex numbers and did not form the image about number system itself of complex number. Implications from this study can be obtained as follows. First, as we came over to the 7th curriculum, the contents of chapter of complex number were too abbreviated to have the logical configuration of chapter in order to remove the burden for learning. Therefore, the quantitative expansion and logical configuration fit to the level for high school students corresponding to the formal operating stage are required for correct configuration of contents of chapter. Second, teachers realize the importance of chapter of complex number and reconstruct the contents of chapter to let students think conceptually and logically.

• 지구물리와물리탐사
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• 제20권2호
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• pp.100-113
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• 2017

유도분극(induced polarization; IP) 탐사는 분극 현상으로 인해 매질에서 발생하는 과전압을 측정하는 전기전자 탐사법으로 주로 금속 광상을 찾을 때 사용되었으나 장비의 발전에 힘입어 최근에는 지하수, 환경 오염, 지반 등 여러 분야에서 다양하게 활용되고 있다. IP 탐사에는 충전율을 측정하는 시간영역 IP 탐사, 진동수 효과를 측정하는 진동수영역 IP 탐사, 그리고 복소수 전기비저항을 측정하는 복소 전기비저항 탐사와 광대역 IP (spectral IP; SIP) 탐사 등이 있다. 또한, 최근에는 전극 형태의 측정 방법의 단점을 보완하기 위해 전자기 유도에 기초한 IP 법도 개발되어 지속적으로 연구가 진행되고 있다. 다양한 IP 탐사법에 대한 체계적인 이해를 돕기 위해 이 논문에서는 1) 송신원 형태와 측정 자료를 기준으로 IP 탐사법을 분류하고 이들에 대한 개념 정리와 함께 2) 각 탐사법의 수치 모델링 및 역산 알고리듬 발전 과정을 자세히 기술하고 3) 마지막으로 IP 탐사의 다양한 현장 활용 사례를 소개하고자 한다.