• 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.13 no.3
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• pp.351-364
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• 2003

by A.C. Clairaut is the first geometry textbook based on the historico-genetic principle against the logico-deduction method of Euclid's This paper aims to recognize Clairaut's historico-genetic principle by inquiring into this book and to search for its applications to school mathematics. For this purpose, we induce the following five characteristics that result from his principle and give some suggestions for school geometry in relation to these characteristics respectively : 1. The appearance of geometry is due to the necessity. 2. He approaches to the geometry through solving real-world problems.- the application of mathematics 3. He adopts natural methods for beginners.-the harmony of intuition and logic 4. He makes beginners to grasp the principles. 5. The activity principle is embodied. In addition, we analyze the two useful propositions that may prove these characteristics properly.

• Communications of Mathematical Education
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• v.10
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• pp.487-504
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• 2000

앞으로의 수학교육은 직관과 조작 활동에 바탕을 둔 경험에서 수학적 형식, 관계, 개념, 원리 및 법칙 등을 이해하도록 지도되어야 한다. 따라서 추상적인 수학적 지식을 다양한 수학 교육공학 매체와 적합한 상황과 대상을 제공할 수 있는 컴퓨터 응용소프트웨어를 활용하여, 실제 수업에서 학생 스스로 시각적${\cdot}$직관적으로 개념을 재구성할 수 있도록 여러 가지 도입 및 전개 방안을 제시하고자 한다.

• 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.

• Journal for History of Mathematics
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• v.22 no.3
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• pp.171-186
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• 2009

$Poincar\acute{e}$ is mathematician and the episodes in his mathematical invention process give suggestions to scholars who have interest in how mathematical invention happens. He emphasizes the value of unconscious activity. Furthermore, $Poincar\acute{e}$ points the complementary relation between unconscious activity and conscious activity. Also, $Poincar\acute{e}$ emphasizes the value of intuition and logic. In general, intuition is tool of invention and gives the clue of mathematical problem solving. But logic gives the certainty. $Poincar\acute{e}$ points the complementary relation between intuition and logic at the same reasons. In spite of the importance of relation between intuition and logic, school mathematics emphasized the logic. So students don't reveal and use the intuitive thinking in mathematical problem solving. So, we have to search the methods to use the complementary relation between intuition and logic in mathematics education.

• The Journal of the Korea Contents Association
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• v.14 no.6
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• pp.307-318
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• 2014

This study investigated how people perceived the importance of health message design principles including gist presentation, usefulness of content, format, and intuitive design and how well a webzine article published by Korean Ministry of Food and Drug Safety was designed in terms of the four design principles. This study also explored what individual characteristics influenced the perceptions of health message design principles. A total of 294 adults participated in the survey, and their responses were analyzed with the Importance-Performance Analysis method. Participants perceived that usefulness of content was most important in the text design; gist presentation was most important in the visual design; and format was well designed in both text and visual messages. This study showed that it is crucial to improve the quality of visual health messages particularly in terms of gist presentation and intuitive design. We also found that individuals' interest in health played a significant role in the perceptions of health messages. These results were discussed in regards to principles and strategies for the effective design of health messages.

• School Mathematics
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• v.5 no.4
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• pp.401-420
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• 2003

We have many problems in the teaching and learning of proof, especially in the demonstrative geometry of middle school mathematics introducing the proof for the first time. Above all, it is the serious problem that many students do not understand the meaning of proof. In this paper we intend to show that teaching the meaning of proof in terms of historic-genetic approach will be a method to improve the way of teaching proof. We investigate the development of proof which goes through three stages such as experimental, intuitional, and scientific stage as well as the development of geometry up to the completion of Euclid's Elements as Bran-ford set out, and analyze the teaching process for the purpose of looking for the way of improving the way of teaching proof through the historic-genetic approach. We conducted lessons about the angle-sum property of triangle in accordance with these three stages to the students of seventh grade. We show that the students will understand the meaning of proof meaningfully and properly through the historic-genetic approach.

• Proceedings of the Korea Information Processing Society Conference
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• 2003.05b
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• pp.1101-1104
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• 2003

본 논문에서는 네트워크를 설계하고 분석할 수 있는 도구를 연구 개발하였다. 사용자는 간단한 설정 과정과 직관적인 인터페이스를 이용하여 네트워크를 설계할 수 있다. 사용자 요구 수준을 반영하여 생성되는 트래픽이 설계된 네트워크에 유입되고 그 성능이 분석된다. 시뮬레이션 과정은 네트워크와 장비의 실제 동작 원리에 기반을 두고 수행되도록 하였다. 본 시스템의 개발을 통하여 국부적인 이론 연구에만 한정되고 있는 네트워크 분석 도구의 개발에 대한 전체 프레임워크의 설계방향과 실용화 방안을 제시하였다.

• Communications for Statistical Applications and Methods
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• v.4 no.3
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• pp.807-816
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• 1997

통계학의 개념들을 직관적으로 이해시키기 위해 기존의 교재중심 강의교육에서 탈피하여 실제적인 실험을 중시하고 컴퓨터를 교육에 활용하는 방안에 국내외적으로 많은 관심이 쏠리고 있다. 본 연구에서는 통계학의 기초개념들을 쉽게 배울 수 있는 통계교육용 멀티미디어 프로그램개발의 한 단계로서 유의성검증시 필요한 p-값(유의확률)의 의미를 정확히 이해하고 적용할 수 있도록 하는 프로그램을 개발하였다. 다양한 상황을 소리, 컴퓨터그래픽, 애니메이션, 텍스트와 동영상을 통합한 멀티미디어 환경하에서 구현하여 피교육자가 흥미를 가지고 학습함으로써 단순한 계산결과가 아니라 원리와 과정을 알 수 있도록 구성하였다. 이 프로그램은 한글 windows 95가 설치된 개인용컴퓨터에서 사용할 수 있으며 internet을 통하여 web browser에서 직접 실행할 수 있다.

• The Mathematical Education
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• v.51 no.4
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• pp.429-453
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• 2012

The purpose of the study were to analyze teaching models of arithmetic operations of integers in Korean middle school mathematics textbooks of the first grade and Americans', from which we compare and analyze standards for choice of models of middle school teachers and preservice mathematics teachers. We also analyze the effect of the choice of teaching models for students to understand and appreciate number systems as a coherent body of knowledge. On the basis of that, we would like to find the best model to help students understand and reason the process of formulate the arithmetic operations of natural numbers and integers into the operation of the real number system. Furthermore, we help these series of the study to be applied effectively in the middle school mathematics class in Korea.