• 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 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 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.

• Communications of Mathematical Education
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• v.8
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• pp.91-105
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• 1999

직관력은 현대와 같이 급변하는 사회에서 어떤 문제의 상황을 전체적으로 파악하거나 그 본질을 인식하는데 매우 중요하다. 특히 공간 직관력은 매일을 공간 속에서 생활하고 있는 우리에게는 더욱 소중한 교육적 대상이 된다. 공간 직관력은 눈에 보이는 구체물이나 감각적으로 받아들여진 사물을 통하여 그 배후에 있는 공간으로서 추상적, 이상적인 것을 감지할 수 있는 힘이다. 수학교육학적 관점에서 보면 공간 직관력에는 시각화(도형을 인식하는 능력, 도형을 구성하는 능력 등), 공간적 관계(도형이나 공간의 확장을 이해하는 능력 등), 공간적 방향 파악(위치를 파악하는 능력 등)을 포함한다. 본 연구에서는 이들 공간 직관력을 육성하기 위하여 초등학교 교육과정과 연계하여 적절한 학습 내용 및 방법을 고찰하고자 한다.

• Communications of Mathematical Education
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• v.15
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• pp.141-146
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• 2003

중학교 기하교육의 목적은 학생들의 수학적인 상황을 보는 기하학적인 직관과 논리적 추론능력의 향상이다. 그러나 이 두 가지 모두 만족스럽지 못한 실정이다. 본 고에서는 중학교 기하교육의 문제를 직관기하와 형식기하의 단절이라는 보고, 직관기하에서 증명의 학습요소를 미리 학습하여 직관기하와 형식기하를 연결하자는 대안을 제시한다. 이를 위해 7-나 교과서의 증명요소를 분석하고자 하였다. 관련문헌을 검토하여 7가지 증명의 학습요소를 선정한 후, 교과서를 분석하였다. 분석 결과, 기호화를 제외한 다른 증명의 학습요소는 매우 빈약한 것으로 나타났다. 직관기하 영역에 대한 교과서 구성이 개선될 필요가 있음을 알 수 있다.

• School Mathematics
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• v.10 no.3
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• pp.319-337
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• 2008

Intuitions in independence formed by common language help and also hinder the establishment of new conceptual system about independence as a mathematical term. Intuitions which entail such conflicts can be a driving force in explaining independence but at the same time, it is the impedimental factor causing a misconception. The goal of this paper is to help students use the intuitions properly by distinguishing helpful intuitions and impedimental intuitions. This paper suggests that we need to reveal in teaching the misconception resulting not from mathematic but from linguistic interpretation of independence. This paper points out the need for the clear distinction of independence of trials and independence of events and gives an counterexample of the case that sampling with and without replacement shouldn't be specified as a representative example of independence and dependence of events. The analysis of intuition in this parer is based on intuitions classified by Fischbein and this paper analyzed institutions applied to the concept of independence corresponding intuitions classified by Fischbein.

• Journal for History of Mathematics
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• v.18 no.2
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• pp.23-30
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• 2005

Intuition has played an important role in process of invention of mathematics and given understanding of mathematical truth and the direction of solution. So, I review about intuition in history of mathematical philosophy and mathematics because we need systematic research about intuition for search of the methods for enhancement of intuition in mathematics education. According to the research of scholars who emphasize intuitive education, intuition is common feature which everybody hold and is not special feature which particular person hold. In addition, intuition is universal ability that can enhance by proper instruction. So, we have to emphasize the importance of the development of intuition and education which emphasize creative thought via intuition.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.2
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• pp.197-215
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• 2010

Intuition plays an important role in the mathematical education as well as the process of invention in mathematics. And many mathematics educators became interested in intuition in mathematics education. So we need to analyze the effect of the characters of intuition of elementary students. In this study, the questionnaire and the interview were used. The subjects were 6 grade-103 students in the questionnaire. They were asked to solve the problems in the questionnaire which was designed by the researcher and to describe the reasons why they answered like that. Students are effected directly by the characters of intuition, ie self-evidence, intrinsic certainty, implicitness, etc. And the effect come from intuitive and ordinary experiences and the results of previous learning. In conclusion, we have to be interested in teaching via intuition and to control the effect of the characters of intuition.

• Korean Journal of Logic
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• v.14 no.2
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• pp.39-76
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• 2011

We explain some basic elements of Martin-L$\ddot{o}$f's type theory and examine the distinction between propositions and judgments. In section 1, we introduce the problem. In section 2, we explain the concept of proposition in the intuitionistic type theory as a development of the intuitionistic conception of proposition. In section 3, we explain the concept of judgment in the intuitionistic type theory. In section 4, we explain some basic inference rules and examine a particular derivation in the theory. In section 5, we examine one route from the Fregean distinction between propositions and judgments to the distinction between them in the intuitionistic type theory, paying attention to the alleged necessity for introducing different forms of judgments.

• Proceedings of the KAIS Fall Conference
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• 2012.05a
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• pp.104-107
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• 2012

치위생과 학생의 전공만족도는 인식만족이 가장 높았으며, 교과만족이 가장 낮은 것으로 나타났다. 전공만족도는 3.51점으로 나타났으며, 성적이 높은 학생일수록, 종합병원 및 대학병원에 취업을 원하는 학생일수록 전공만족도가 높은 것으로 나타났다(p<0.01, p<0.05). 치위생과 학생의 전문직관은 치위생의 독자성이 가장 높았으며, 사회적 인식이 가장 낮은 것으로 나타났다. 전문직관은 3.48점으로 나타났으며, 성적이 높은 학생일수록 전문직관이 높은 것으로 나타났다(p<0.05). 전공만족도와 전문직관의 관계는 전공만족도가 높을수록 전문직관이 높은 것으로 나타났다(p<0.001). 결론적으로 치위생과 학생들의 긍정적인 전문직관의 확립을 위해 전공만족도를 높일 수 있도록 학생들의 학업성취도 향상과 졸업 후 취업에 대한 비젼을 제시할 수 있는 다양한 노력이 필요하다고 사료된다.