• 대한수학교육학회지:수학교육학연구
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• 제23권4호
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• pp.585-604
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• 2013

본 연구는 증명 자체가 일반성을 전제로 한다는 사실에도 불구하고, 다수의 학생들은 증명을 수행한 후에도 기하 정리의 일반성을 인식하지 못한다는 문제로부터 출발한다. 이 문제를 경험적 확신, 도형 표현의 특수성 및 기하 변수의 역할 등의 측면에서 조명함으로써 그 해결책으로서 동적기하환경을 제안한다. 곧 동적기하환경에서의 문제해결 경험이 기하 정리의 일반성 인식에 미치는 영향을 조사하고 교육적 시사점을 제공하는 것을 목적으로 한다. 이를 위해 기하 단원에서의 증명 학습 경험을 토대로 증명을 할 수 있지만 정리의 일반성을 인식하지 못한 중학교 3학년 학생 4명을 대상으로 동적기하환경을 제공하고 그 탐구과정에서 학생들의 일반성 인식과 관련한 인지 변화를 관찰, 분석하였다. 분석 결과를 토대로 동적기하환경이 학생들의 기하정리의 일반성 인식에 미치는 효과와 교육적 시사점에 대해 논의하였다.

• 한국수학사학회지
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• 제36권4호
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• pp.61-78
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• 2023

By virtue of the characteristics inherent in diagrams, diagrammatic reasoning has potential and limitations that distinguish it from general thinking. It is natural that diagrams rarely appeared in Joseon mathematical books, which were heavily focused on computation and algebra in content, and preferred linguistic expressions in form. However, as the late Joseon Dynasty unfolded, there emerged a noticeable increase in the frequency of employing diagrams, due to the educational purposes to facilitate explanations and the influence of Western mathematics. Analyzing the role of diagrams included in Jo Taegu's 'JuseoGwangyeon', an exemplary book, this study includes discussions on the utilization of diagrams from the perspective of mathematics education, based on the findings of the analysis.

• 동남아시아연구
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• 제20권3호
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• pp.147-182
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• 2010

The purpose of this study is to examine the population changes in the nine Southeast Asian countries, including Cambodia, Lao People's Democratic Republic, Philippine, Indonesia, Malaysia, Myanmar, Singapore, Vietnam, and Thailand. According to the demographic transition theory which described the transition from high birth and death rates to low birth and death rates, the demographic changes in less developed countries, including the Southeast Asian countries, follow the general pattern of the population changes that the Western countries had experienced. However, this theory does not consider the fact that the demographic behaviors such as fertility and mortality tend to be ethnocentric (or particular). Therefore, I examine in this paper both the generality and particularity of the population changes in the Southeast Asia . The analytic results are consistent with my assumptions. Every country in the Southeast Asia will soon reach the third phrase of the demographic transition and meet population ageing process. However, the timings arriving at the third phrase can differ. Singapore which is the most developed country had firstly passed through the demographic transition and the highest level of population ageing. Cambodia and Lao People's Democratic Republic, the least developed countries, will lastly arrive at the third phrase and the ageing society. In addition, among the three countries which had experienced war or civil war, only Cambodia had experienced babyboom.