• 영재교육연구
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• 제22권3호
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• pp.619-637
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• 2012

girih 타일링은 비주기적이면서도 규칙적인 구조를 가진 타일링으로, 최근 '이슬람 사원 장식에 숨어있는 수학의 비밀'로 주목받고 있다. 본 연구에서는 이를 소재로 하여 비주기적인 규칙성 안에 숨어 있는 수학이 만들어내는 유용성과 아름다움을 체험할 수 있는 초등 수학영재 프로그램을 개발 적용하고 그 결과를 분석하는 데 목적을 두었다. 개발한 초등수학영재 프로그램은 '이슬람 문양 속 girih의 비밀을 찾아서'이며, Renzulli의 3부 심화학습 형식에 따라 적용하였다. 이 프로그램은 대전광역시 유성구에 소재하고 있는 D 초등학교 5, 6학년 통합영재반 6명에게 적용한 결과를 토대로 수정, 보완 하였으며 개발된 프로그램 및 학습 자료는 초등수학영재 교육을 위한 소재 개발과 방법에 있어 도움이 될 것으로 기대한다.

• 한국수학교육학회지시리즈A:수학교육
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• 제44권3호
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• pp.457-475
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• 2005

We have inquired on what the statistical classes of the secondary schools had been aiming to, say the epistermlogical objects. And we now appreciate that the main obstacle to the systematic articulation is the lack of anticipation on what the statistical concepts are. This study focuses on the ingredients of the statistical concepts. Those are to be the ground of the systematic articulation of statistic courses, especially of the one for the school kids. Thus we required that those ingredients must satisfy the followings. i) directly related to the contents of statistics ii) psychologically developing iii) mutually exclusive each other as much as possible iv) exhaustive enough to cover all statistical concepts We examined what and how statisticians had been doing and the various previous views on these. After all we suggest the following three concepts are the core of conceptual developments of statistic, say the concept of distributions, the summarizing ability and the concept of samples. By the concepts of distributions we mean the frequency views on each random categories and that is developing from the count through the probability along ages. Summarizing ability is another important resources to embed his probe with the data set. It is not only viewed as a number but also to be anticipated as one reflecting a random phenomena. Inductive generalization is one of the most hazardous thing. Statistical induction is a scientific way of challenging this and this starts from distinguishing the chance with the inevitable consequences. One's inductive logic grows up along with one's deductive arguments, nevertheless they are different. The concept of samples reflects' one's view on the sample data and the way of compounding one's logic with the data within one's hypothesis. With these three in mind we observed Korean Statistic Curriculum from K to 12. Distributional concepts are dealt with throughout but not sequenced well. The way of summarization has been introduced in the 1 st, 5th, 7th and the 10th grade as a numerical value only. One activity on the concept of sample is given at the 6th grade. And it jumps into the statistical reasoning at the selective courses of ' Mathematics I ' or of ' Probability and Statistics ' in the grades of 11-12. We want to suggest further studies on the developing stages of these three conceptual features so as to obtain a firm basis of successive statistical articulation.