• 한국수학교육학회지시리즈D:수학교육연구
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• 제14권1호
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• pp.11-18
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• 2010

The basic idea of cooperative learning focuses on team reward, equal opportunities for success, cooperation within team and competition among teams, and emphasizes share of sense of achievement through joint efforts so as to realize specific learning objectives. The main strategies of engineering mathematics teaching based on cooperative learning are to establish favorable team and design reasonable team activity plan. During the period of team establishment, attention shall be given to team structure including such elements as team status, role, norm and authority. Team activity plan includes team activity series and team activity task. Team activity task shall be designed to be a chain of questions following a certain principle.

• 아동학회지
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• 제31권5호
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• pp.63-77
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• 2010

This study was to investigate the differences of 'math talks' between concept-based storybook reading and context-based storybook reading activities. The teachers carried out storybook reading activities with their children using either four concept-based storybooks or four context-based storybooks. Fifty-six storybook reading activities from seven kindergarten classrooms were observed. The data were collected through participant observations and audio recordings. The transcriptions of 'math talks' during storybook reading activity were classified in terms of the levels of instructional conversation, types of mathematizing, and the mathematical processes involved. The results indicated that the 'math talks' during the concept-based storybook reading activity were higher than those of the context-based storybook reading activity in terms of both the instructional conversation and in quantifying and redescribing of mathematizing. However, the 'math talks' during the context-based storybook reading activity were higher than those of the concept-based storybook reading activity in connecting and reasoning of the mathematical processes involved. These findings suggest that early childhood teachers need to improve the level of instructional conversation during math storybook reading activities.

• 한국수학교육학회지시리즈A:수학교육
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• 제43권4호
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• pp.399-404
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• 2004

Mathematical creativity is a main topic which is studied within mathematics education. Also it is important in learning school mathematics. It can be important for mathematics teachers to view mathematical creativity as an disposition toward mathematical activity that can be fostered broadly in the general classroom environment. In this article, it is discussed that creativity-enriched mathematics instruction which includes creative problem-solving and problem-posing tasks and activities can be guided more creative approaches to school mathematics via routine problems.

• 대한수학교육학회지:수학교육학연구
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• 제9권1호
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• pp.151-165
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• 1999

In this study, I consider the meaning of activity as the source of mathematical knowledge. Mind-body dualism of Descartes which understands that knowledge precedes activity is somewhat overcomed by Ryle who understands that knowledge and activity are two sides of the same coin. But his discussion cannot offer the explanation about the foundation of rightness or the development of rules which can be expressed propriety of activity or rationality. Contrary to these views, Piaget solve this problem by the reasonability of 'the whole system of activity'. The theory of Dewey can be evaluated as an origin of activism of Piaget. Piaget considers knowledge as the system of activity itself, whereas Dewey considers knowledge as 'the result of activity'. This view of Dewey is related to the view of pragmatism which considers 'practice' is more important than 'theory'. The nature of 'activity' in this study has to be understanded as the interaction or the relation between the subject and the object. If we understand activity like this, we can explain that the whole structure of activity has the 'wholeness' that cannot be simply restored to the sum total of 'parts' and the new structure is a self-regulative transformation system which includes former structure continuously.

• 한국초등수학교육학회지
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• 제5권1호
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• pp.77-98
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• 2001

사회 구조가 산업사회에서 정보화 사회로 전환됨에 따라 학생들이 배양해야 할 능력은 단순한 지식이나 기능의 습득보다는 이러한 지식과 기능을 이용하여 새로운 상황에서 문제를 해결하는 능력, 즉 문제 해결력이다. 문제 해결력 신장을 위하여 문제 만들기가 효과적이라 생각된다. 본 연구자는 제 7차 교육과정이 적용되고 있는 상황에서 4학년을 대상으로 문제 상황에 따른 문제 만들기 활동을 적용하여 문제 해결력에 미치는 영향을 분석하였다. 연구 대상을 실험반과 비교반으로 나누어 연구 분석한 결과 실험반이 수학과 학습에 대한 흥미를 더 가질 수 있었으며, 문제 해결력에 도움이 된 것으로 나타났다. 본 연구 결과를 바탕으로 문제 상황 제시 형태에 따른 연구가 전문적으로 지속되길 기대한다.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제15권2호
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• pp.181-196
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• 2011

In mathematical modeling tasks, where students are exposed to model-eliciting for real and open problems, students are supposed to formulate and use a variety of mathematical skills and tools at hand to achieve feasible and meaningful solutions using appropriate problem solving strategies. In contrast to problem solving activities in conventional math classes, math modeling tasks call for varieties of mathematical ability including mathematical creativity. Mathematical creativity encompasses complex and compound traits. Many researchers suggest the exhaustive list of criterions of mathematical creativity. With regard to the research considering the possibility of enhancing creativity via math modeling instruction, a quantitative scheme to scale and calibrate the creativity was investigated and the assessment of math modeling activity was suggested for practical purposes.

• 대한수학교육학회지:학교수학
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• 제9권4호
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• pp.467-486
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• 2007

이 논문은 스프레드시트를 활용한 수학적 모델링에서 스프레드시트 환경이 수학적 모델의 정교화과정에 어떤 영향을 미치는 지를 고찰한 것이다. 좀 더 자세히 살피면 수학적 모델링에서 스프레드시트 모델의 활용은 학생이 분석 불가능한 수학적모델도 분석할 수 있도록 해줌으로써 모델을 단순화하지 않고, 대신 모델을 정교화 할 수 있는 기회를 제공하고 수학적 개념을 확장해 나갈 수 있음을 보였다. 또한 수학적 모델을 스프레드시트 모델로 변환하여, 수학적 모델로부터 수학적 결론을 얻는 단계를 거치지 않고도 실세계 상황을 해석하고 설명할 수 있는 기회를 제공할 수 있음을 보였다.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제8권3호
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• pp.145-155
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• 2004

Mathematics, by its nature, is a creative activity. Creativity can be developed either through considering its intrinsic beauty or by examining the role that it plays in applications to real world problems. Many of the great mathematicians have been vitally interested in applications and gained inspiration in developing new mathematics from the mathematical descriptions of physical phenomena. In this paper we will examine the processes of applying mathematics by looking at how mathematical models are formed and used. Applications from sport, the environment and populations are used as illustrations.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제9권2호
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• pp.175-182
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• 2005

This paper will present two activity cases for developing mathematical creativity at The Center for Science Gifted Education (CSGE) of Chongju National University of Education of Korea. One is 'the magic card mystery'; the other is 'mathematicians' efforts to solve equations'.

• 한국수학사학회지
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• 제22권3호
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• pp.171-186
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• 2009

수학 분야에서 수학적 발명이 어떻게 일어나는가에 관심을 갖는 연구가에게 푸앵카레의 자서전적 일화와 그의 저서들은 많은 시사점을 준다. 수학 분야에서 능통한 학자였던 푸앵카레는 그의 수학을 연구하는 과정에 대한 자서전적 글에서 수학 분야에서 발명의 과정에 대한 상세한 설명을 제시하고 있다. 푸앵카레는 의식적 활동 뒤에 일어나는 무의식적 활동의 가치를 논의하고, 수학적 발명의 과정에서 의식적 활동과 무의식적 활동의 상보적 관계를 제시하고 있다. 또한, 수학적 발견의 과정에서 직관과 논리의 상보적 관계를 중시하고 있다. 이것은 유클리드 원론을 바탕으로 논리적 사고를 우선적으로 강조해 온 종전의 수학교육과 학생들의 창의적인 수학 능력을 기르는 교육에 시사하는 바가 크다. 특히 최근의 학습 원리로 직관적 원리를 제시하는 것도 논리와 더불어 직관을 강조해야 한다는 푸앵카레의 견해가 교육 현장에 뿌리내리는 과정이라고 볼 수 있다.