• 한국수학교육학회지시리즈A:수학교육
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• 제41권3호
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• pp.233-256
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• 2002

This study investigated school mathematics curriculum of England, newly revised in 1998, focused on the 'number and algebra' domain among three major domains of the English curriculum. On the basis of its understanding, this domain was compared and analyzed with school mathematics curriculum of Korea. In doing so, this study explored its plans and procedures and established a frame of comparison for the curriculums between the two countries. The structure of the National Curriculum in England is composed of programmes of study and attainment targets. The former sets out what should be taught in mathematics at key stages 1, 2, 3, and 4 and provides the basis for planning schemes of work, and the latter sets out the knowledge, skills, and understanding that pupils of different abilities and matures are expected to have by the end of each key stage. Attainment targets are composed of eight levels and an additional level of increasing difficulty. According to the results of the present study, Korea focuses on the formal and systematic mathematical knowledge on the basis of sound understanding of certain mathematical terms or concepts. On the other hand, England tends to deal with numbers more flexibly and naturally through the aquisition of mental methods, calculator use methods, etc, and emphasizes that mathematics be realistic and useful in solving a diverse number of problems confronted in everyday life.

• 대한수학교육학회지:수학교육학연구
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• 제23권2호
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• pp.237-252
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• 2013

수학교육학 내의 논의에서 Bachelard의 과학철학은 인식론적 장애 개념을 중심으로 소개되어 있다. 그의 과학철학에서 인식론적 장애는 과학의 변증법적 발달과 연결되어 있다. 과학은 기존에 명백한 것으로 인식된 것을 부정하여 얻은 개념의 재구성과 일반화를 통해서 발달한다. 이 과정에서 기존의 인식에 대한 단절이 필요하다. 인식론적 장애는 재구성이 필요한 시점에서 기존의 것과 단절하지 못하고 고수함으로써 나타나내는 발달의 지연이며, 지식의 형성 혹은 학습 과정에 내재적인 어려움이 존재한다는 것을 의미한다. 이상과 같은 Bachelard 관점을 수학교육학에서 널리 적용되고 있는, '내면화-압축화-대상화'의 단계적인 반영적 추상화 도식과 비교하고 논의하였다.

• 한국학교수학회논문집
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• 제4권2호
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• pp.115-123
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• 2001

In its seventh revision to start in 2001, mathematics will have a new emphasis in the middle school curriculum. Mathematics subject is now composed of practical things in the use of mathematics. Also, the future of new generation, which has been known as the information age, places much focus on problem-solving in order to collect, analyze, synthesize, and judge various kinds informations. This demand of problem-solving ability is not only related with mathematical education but, along the entire educational process, its related to actual life. With this change of social structure, the importance of school education is increasing rapidly. Therefore, in order to grow abilities and create new knowledge, adapted this new method of self-oriented learning in groups to middle school 2nd graders for one year, the results were as follows : 1. Students developed their ability of the use of mathematical terms and signs correctly. 2. Students' mathematical knowledge and problem-solving ability improved as they had increased interest in mathematics. 3. Students' peership was enhanced through their communication and cooperative activities in groups during the class. 4. Students themselves were more willing to volunteer and participate during the class.

• 한국수학교육학회지시리즈A:수학교육
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• 제40권2호
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• pp.265-289
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• 2001

The elementary and middle school curriculum in Korea has been modified periodically to reach today's 7th national curriculum. Although the intent of each new curriculum was to improve education, lack of proper preparation for teachers and students has not made the new curriculums as effective as it could be. Goodlad et al.(1979) suggested that curriculum should encompass all practices including not only knowledge but all the elements of the curriculum and experiences of the student and teachers. The purpose of this paper is to investigate the actual practices of the current curriculum with focus on the use of instructional media in mathematics teaching and learning. A nationwide curriculum survey was carried out with the Goodlad's curriculum inquiry model as the framework. The result shows that elementary and secondary mathematics teachers used textbook manual (for teachers) and practice books most frequently for their class preparation. In addition to these, mathematics teachers also used manipulatives, visual aids, computers, internet, and calculators in a decreasing order. In general, many mathematics teachers did not use much instructional media in their classes and said that there are not enough effective instructional media to use. However, the teachers have positive attitude toward the educational media that they have used. In this study, we analyzed the survey data regarding educational tools, their use and effects to support the development of a new curriculum model in mathematics for a knowledge-based society.

• Journal of applied mathematics & informatics
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• 제25권1_2호
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• pp.551-562
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• 2007

This paper concerns a relationship between rough sets, intuitionistic fuzzy sets and ring theory. We consider a ring as a universal set and we assume that the knowledge about objects is restricted by an intuitionistic fuzzy ideal. We apply the notion of intutionistic fuzzy ideal of a ring for definitions of the lower and upper approximations in a ring. Some properties of the lower and upper approximations are investigated.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제5권2호
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• pp.99-106
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• 2001

We have known that ethno-mathematics is a field of a study that emphasizes the socio-cultural environment in which a person "does" mathematics as stated by D'Ambrosio(Ethno mathematics and its Place in the History and Pedagogy of Mathematics, 1985). Measurement is an important mathematical topic, which leads students to relate math to the eal-world applications, particularly with socio-cultural aspects. The purpose of this article is to review the history of the measurement system in Korea briefly and to adapt the measurement system into real-world problems so that children acquire measurement knowledge in the most natural way.

• 한국초등수학교육학회지
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• 제12권1호
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• pp.59-78
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• 2008

분수의 개념에 대해 아직 배우지 않은 학생들이 가지고 있는 비형식적 지식을 조사하고 분석하여, 이러한 비형식적 지식이 분수 개념 지도에 어떻게 활용될 수 있는지를 살펴보기 위해 등분할, 동치분수, 단위 분수의 크기 비교에 대한 면담 문항을 제시하여 분석한 결과, 첫째, 분수를 배우지 않은 학생들은 분수와 관련된 활동을 할 때 비형식적 지식을 가지고 문제를 해결하며, 그 형태는 매우 다양하다는 것과 둘째, 분수의 기초 개념에 대한 학생들의 비형식적 지식 중에는 올바른 지도를 통하지 않을 경우 오개념을 유도할 수 있는 것도 존재한다는 것, 그리고 셋째, 분수의 개념에 대한 확고한 이해를 위해 학생들의 다양한 비형식적 지식을 분수 개념 지도에 활용해야 한다는 것을 알 수 있었다.

• 대한수학교육학회지:수학교육학연구
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• 제23권2호
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• pp.269-284
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• 2013

본 연구의 목적은 수학 교사가 되고자 하는 대학생의 진학동기와 수학적 사고와 관련된 패턴 및 고등학교와 대학 수학을 하는 경험, 과외 경험을 통하여 예비교사의 고유한 측면을 질적으로 탐구하는 것이다. 이를 위하여 S 사범대학을 선정하여 수학교육 전공 예비교사들을 대상으로 그들의 경험을 인물 사례 연구 방법으로 진행하였다. 2009년 11월부터 2010년 2월 사이에 수학교육과 2학년 학생 4명을 대상으로 기초면담과 심층면담을 실시하였다. 인물 사례 연구방식에 근거하여 스케치 형태로 초상화법을 적용하여 수학교사가 되고자 하는 동기, 고등학교와 대학 수학을 하는 공부양상의 차이점, 과외 경험을 통하여 느끼는 양상을 탐색하고 그 의미에 대한 해석을 담았다. 마지막에 연구참여자에 대한 사례간의 논의를 통하여 후속 연구에 대한 방향을 제시하였다.

• 한국학교수학회논문집
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• 제10권1호
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• pp.45-69
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• 2007

21세기 지식 기반, 정보화 기반 사회는 수학을 단순히 적용하는 능력이 아닌 실생활이나 다른 교과 영역에서 수학적 지식을 사용하여 문제를 구성하고 해결하는 문제 해결력 등의 수학적 힘(Mathematical power)을 필요로 한다. 수학적 힘을 기르기 위해서는 수학의 기본 지식, 추론 능력, 문제 해결력, 수학적 아이디어의 표현 및 교환능력, 그리고 사고의 유연함, 인내, 흥미, 지적 호기심, 창의력을 길러 주는 다양한 교수 학습 방법이 필요하다. 본 연구에서는 다양한 학습 매체를 이용한 실생활 중심의 교수 학습 지도안을 개발하고 이를 통하여 학생들의 수업에 대한 반응과 수학에 대한 인식 변화를 분석하였다.

• 대한수학교육학회지:수학교육학연구
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• 제8권2호
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• pp.553-563
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• 1998

In this thesis, I examined Bruner's EIS theory from the viewpoint of epistemology based on Piaget's genetic epistemology. Although Bruner's ideal thought which insisted ‘to teach the structure’accepted Piaget's theory in the methodology of realization, it is different from Piaget in understanding knowledge. The difference is shown from understanding the meaning of ‘structure’. Piaget's concept of structure is something that has overcome the realistic viewpoint of the traditional epistemology and is reconstructed through endless self-regulative transformational process. However Bruner's is used as a realistic meaning as we can see in the Plato's recollection theory. Therefore Piaget's ‘stage of development’means the difference of structure which lies in the generative process and it includes the qualitive difference of level. On the other hand, Bruner, who is trying to translate and suggest the fixed structure to the children understood Piaget's stage of development as the difference in the ways of representation. Piaget's operational constructivism insists that the children should ‘construct’the knowledge through their activity, and especially in case of the lohico-mathematical recognition, the source should be internalized activity, that is, operation. In view of this assertion, Burner's idea which insists to accept the structure of knowledge as a fixed reality and to suggest the translated representation proper to the cognitive structure of the children to teach them, has a danger of emphasizing only the functional aspects to deliver the given knowledge ‘quickly’. And it also has the danger of damaging ‘the nature of the knowledge’in the translated knowledge.