• Journal of The Korean Association For Science Education
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• v.37 no.3
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• pp.523-537
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• 2017

The purpose of this study is to investigate the features of elementary students' intuitive thinking emerged during problem solving activities as it related to thermal phenomena, focusing on when intuitive thinking appears and how it is related to logical thinking. For this, we presented a problem related to thermal phenomena to nine 5th-grade students, and examined how students' thinking emerged in the activities. We conducted clinical interviews to investigate the thinking process of students. The results of this study are as follows. First, students made their own solutions and justified it later during the emergence process of intuitive thinking. It was also found that students connected concrete materials and abstract concepts intuitively. They solved the problem by making predictions even when information is insufficient. Second, it was shown that intuitive thinking can emerge through the intended strategies such as drawing a mental image, thinking from a different perspective, and integrating methods. These results, which are related to the students' intuitive thinking has received little attention and will be the basis for helping students in the context of discovery of their problem solving activities.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.2
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• pp.283-300
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• 2011

Since elementary students are in the concrete operational stages, they have to learn mathematics using intuitive methods such as visualization, observation, operation, experiment instead of formal approach. For this, we should present the various intuitive methods in curriculum and textbook. It is because that curriculum and textbook are important tools to students when they study mathematics. So, this paper intended to analyze the instructional content by intuitive principle in elementary mathematics curriculum, textbook and curriculum guide. The results are as follows: there is an intuitive principle in only character of mathematics in curriculum. I can't find the intuitive principle in other areas in curriculum. There are 12 intuitive principles in figures area, 1 in measurement area, and 2 in probability and statistics area in curriculum guide. But intuitive principles which are used are inclined to restricted to intuitive principle via representation obtained in the usual experience. Finally, I suggest some implications about teaching via intuitive principles, curriculum, and writing textbook based on the this findings.

• Journal of Educational Research in Mathematics
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• v.26 no.3
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• pp.565-581
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• 2016

Intuition in the mathematical problem solving has been stressed the importance with the logic because intuition is the cognition that give significant clue or idea to problem solving. Fischbein classified intuition by the origin; primary intuition and secondary intuition And he said the role of the personal experience and school education. Through these precedent research, we can understand the social influence. This study attempt to investigate social intuition model of Haidt, moral psychologist that has surfaced social property of intuition in terms of the mathematical problem solving. The major suggestions in problem solving and the education of intuition are followed. First, I can find the social property of intuition in the mathematical problem solving. Second, It is possible to make the mathematical problem solving model by transforming the social intuitionist model. Third, the role of teacher is important to give the meaningful experience for intuition to their students. Fourth, for reducing the errors caused by the coerciveness and globality of intuition, we need the education of checking their own intuition. In other words, we need intuition education emphasized on metacognition.

• Journal of the Korean School Mathematics Society
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• v.18 no.3
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• pp.241-258
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• 2015

The purpose of this paper is to examine the students' mathematics problem solving process in the intuitive stages. For this, researcher developed the questionnaire which consisted of problems in relation to intuitive and algorithmic problem solving. 73 fifth grade and 66 sixth grade elementary students participated in this study. I got the conclusion as follows: Elementary students' intuitive problem solving ability is very low. The rate of algorithmic problem solving is higher than that of intuitive problem solving in number and operation areas. The rate of intuitive problem solving is higher in figure and measurement areas. Students inclined to solve the problem intuitively in that case there is no clue for algorithmic solution. So, I suggest the development of problems which can be solved in the intuitive stage and the preparation of the methods to experience the insight and intuition.

• School Mathematics
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• v.16 no.4
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• pp.691-708
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• 2014

In general, the intuitive knowledge that can use in mathematics problem solving is one of the important knowledge to teachers as well as students. So, this study is aimed to analyze the elementary preservice teachers' intuitive knowledge in relation to intuitive and counter-intuitive problem solving. For this, I performed survey to use questionnaire consisting of problems that can solve in intuitive methods and cause the errors by counter-intuitive methods. 161 preservice teachers participated in this study. I got the conclusion as follows. preservice teachers' intuitive problem solving ability is very low. I special, many preservice teachers preferred algorithmic problem solving to intuitive problem solving. So, it's needed to try to improve preservice teachers' problem solving ability via ensuring both the quality and quantity of problem solving education during preservice training courses. Many preservice teachers showed errors with incomplete knowledges or intuitive judges in counter-intuitive problem solving process. For improving preservice teachers' intuitive problem solving ability, we have to develop the teacher education curriculum and materials for preservice teachers to go through intuitive mathematical problem solving. Add to this, we will strive to improve preservice teachers' interest about mathematics itself and value of mathematics.

• Journal of the Korean School Mathematics Society
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• v.11 no.3
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• pp.363-376
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• 2008

This study is to understand intuition that is the tool of invention and the one factor of the creative thinking in mathematical education. For this, I examine the nature of intuition and the history of research about intuition. And I study the result of research about intuition in cognitive psychological perspectives. This study brings to a focus in informational processing model. Informational processing model is similar to the mathematical problem solving process that is expressed linear process. Recently, parallel distributed processing models try to understand the nature of intuition. But any models cannot adequately explain the nature and the phenomena of illumination of intuition. Some scholars try to examine the intuition in mathematical education. But systematic and practical research is rare. So, I suggest the mathematical educational implications about intuition. Conclusively, it is necessary to systematic concern in intuition and the methods of improvement of intuition in mathematical education.

• Journal for History of Mathematics
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• v.10 no.2
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• pp.82-88
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• 1997

수학 기초의 위기에 대한 직관주의적 대안은 파격적인 것이었다. 수학을 지나치게 축소시켰다고 비난을 받기도 하지만 역리의 제거라는 측면만 본다면 직관주의는 성공적이라고 할 수 있었다. 본고는 직관주의를 개관하고 직관주의가 가지는 보다 철학적이고 본질적인 측면을 직관주의의 창시자인 Brouwer의 수학관과 세계관에서 찾는다.

• Science of Emotion and Sensibility
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• v.6 no.1
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• pp.1-10
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• 2003

Information gathered through experience transforms into knowledge and such knowledge becomes a foundation for intuitive decisions. Based on such background, the following study investigates intuitive decision making on basic elements needed for design concepts and visual conceptualizations. The study consist two phases. first, 12 structural elements of a digital camera and relation between each elements were arranged intuitively on a board. Next, sketches were generated with relationship of structural elements in mind. As a result of the study, concept with intuitive decisions effect structural thinking, various developments, specific operation methods , and sketch expressions. However, study also revealed that the freedom of human emotions don't accord with the qualification map.

• Journal of The Korean Association For Science Education
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• v.10 no.2
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• pp.73-83
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• 1990

이 연구의 목적은 (가)학생들의 "공기중의 물"에 대한 직관척 견해와 그 특성들을 파악하여 기술하고, (나) 나이와 학습 능력의 증가에 따른 직관적 견해의 분포 및 변화 경향의 파악 및 기술(description)에 있다. 미국 텍사스주 중부에서 36명의 연구대상 학생들이 선발되었다(5-, 8-, 11-학년 및 대학교 학생 각각 9명씩). 대학생들을 제외한 각 학년은 3명 씩의 우수, 보통 및 열퉁 학생들로 구성되었다. 연구 방법은 현상에 대한 면담법(Interview-About-Phenomena)이 사용되었다. 대기 중의 물은 7개의 종속개념(수증기, 습도, 증발, 웅결, 승화 I 과 II, 그리고 이슬점)으로 세분되어 조사되었다. 연구 결과 각 종속개념마다 3개에서 7개까지 여러 직관적 견해들이 파악되었다. 학년과 학습능력이 증가 할수록 학생들은 더 정교한 직관적 견해를 보유하고 있었다. 파악된 직관적 견해들의 재구성(restructuring) 또는 보다 정교한(more sophisticated) 견해로의 변화는 종속개념에 따라 다르다. 직관적 견해들이 재구성되기 쉬움에 따라 종속개념들을 배열한 것올 "재구성 계열"(Restructuring series)이라 정의 하였으며 이는 다음과 같다. 수증기-습도-이슬점-응결-중발-승화 I 과 II. 이 연구의 결과는 과학교수 전략 및 과학 학습교재의 고안과 개발, 과학교사 양성과정, 그리고 과학학습 평가 등에 활용되어져야 할 것이다.

• Proceedings of the Korea Society for Industrial Systems Conference
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• 2009.05a
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• pp.101-106
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• 2009

수학적 사고의 입장에서 중등학생들이 수학적 문제해결에 논리적 사고와 직관적 사고가 어떻게 작용하는지를 연구하는 것은 수학교육에서 중요하고도 흥미로운 과제의 하나이다. 본 연구의 주된 목적은 중등학교 영재학생을 대상으로 이러한 문제를 조사하는 것이다. 특히 이들 중등영재학생들의 논리적 사고와 직관적 사고에 대한 선호도와 논리적 문제의 문제해결능력 사이의 관계를 조사한다.