• Journal of the Korean School Mathematics Society
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• v.8 no.3
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• pp.411-422
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• 2005

Along with the continual debate relating to the use of technology, especially since LOGO in 1980, technology has always been the issue to the society of mathematics education about what is the role of technology in teaching and learning, how it can facilitate for the better understanding of learners, especially what we can do more with it comparing to the traditional teaching and learning environments. Here I propose a way of using technology[GSP] for creative exploration, which makes it possible to extend our knowledge that leads to new discovery.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.701-722
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• 2010

Students have to investigate, experiment and inquire using the manipulative materials and real-world thing for studying Geometry. Manipulative materials activities encourage to understand mathematical concept and connection of symbol. Experiment activities using the computer focused the student's intuitive and inquisitive activities because of visualization of an abstract mathematics concept. This study developed a workbook through the use of manipulative materials and computer for operating and experimenting, and suggested a method for inquiry of geometrical properties and proved an effect. Manipulative materials-experiment activities was proven effective to middle level and lower level students in understanding the geometrical properties, and was proven effective to high level and lower level students when it comes to mathematical communication ability. When students operate, at first, they have to know about the feature and information of the materials, and the teacher has to make an elaborate plan and encourages the students to discuss about this.

• Journal of the Korean School Mathematics Society
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• v.11 no.2
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• pp.177-199
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• 2008

In the Netherlands, Streefland(Elbers, 2003) gave a solution on how teachers can help students to participate in the process of knowledge construction by investigating constructions and activities of a community of inquiry for a primary school students(between 11 and 13 years of age). In Australia, Goos(2004) analyzed the teacher's role in creating a classroom culture of inquiry, which appeared to be taken for granted by the Grade 12 group, for the Grade 11 students by classroom observation and interviews. In Korea, because of diverse obstacles with a university entrance examination, a study about teacher's role in inquiry-oriented instruction for high school mathematics schooling has rarely appeared in the literature. The purpose of this study is to investigate teacher's role for promoting and managing inquiry-oriented mathematics instruction effectively by a case study. To fulfill this purpose, we develop inquiry-oriented instruction model by investigating teacher's role as an assistant for helping students to do mathematical activity.

• Proceedings of the Korea Society of Mathematical Education Conference
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• 2008.05a
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• pp.11-15
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• 2008

다각형에서 가장 기본이 되는 삼각형과 사각형의 종이를 접을 때 마다 다양한 규칙성들이 발견될 수 있다. 따라서 본 연구에서는 이런 종이접기를 통한 패턴 탐구를 통해 문제를 형식화거나 일반화 하는 능력과 수학적으로 사고하는 능력 즉, 귀납적 추론력을 길러주고자 함에 목적을 두고 있다.

• Journal of the Korean School Mathematics Society
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• v.6 no.1
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• pp.1-17
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• 2003

In this paper, we study the methods of improving an ability of a creative solving mathematical problem belonging to an educational system which every province office of education has adopted for the mathematically talented students. Especially, we give an attention on a preferential reaction in teaching styles according to student's LQ., the relationship between student's LQ. and an ability of creative solving mathematical problems, and seeking for an appropriative teaching methods of the improvement ability of a creative solving problem. As results, we have the followings; 1. The group having excellent students who have a higher intelligential ability prefers inquiry learning which is composed of several sub-groups to a teacher-centered instruction. 2. The correlation coefficient between student's LQ. and an ability creative solving of mathematical is not high. 3. Although the contents and the model of thematic inquiry learning don't have a great influence on the divergent thinking (ex. fluency, flexibility, originality), they affect greatly the convergent thinking - a creative mathematical - problem solving ability. Accordingly, our results show that we should use a variety of mathematical teaching materials apart from our regular textbooks used in schools to improve a creative mathematical problem solving ability in the process of thematic inquiry learning. Also we can see that an inquiry learning which stimulates student's participation and discussion can be a desirable model in the thematic mathematical classroom activities.

• Communications of Mathematical Education
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• v.35 no.1
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• pp.119-136
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• 2021

We performed the research and education programs using engineering tools such as Mathematica, Microsoft Excel and GeoGebra for the students in mathematics mentorship program of the institute of science education for the gifted. We used the engineering tools to solve the problems and found the rules by observing the solutions. Then we generalized the rules to theorems by proving the rules. Mathematica, the professional mathematical computation program, was used to calculate and find the length of the repeating portion of the repeating decimal. Microsoft Excel, the spreadsheet software, was used to investigate the Beatty sequences. Also GeoGebra, the dynamic geometric software, was used to investigate the Voronoi diagram and develop the Voronoi game. Using GeoGebra, we designed the Voronoi game plate for the game. In this program, using engineering tools improved the mathematical creativity and the logical thinking of the gifted students in mathematics mentorship program.

• School Mathematics
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• v.15 no.4
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• pp.921-940
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• 2013

This study is to analyze mathematically gifted middle school students' characteristics of mathematical thinking and the teacher's role in teaching and learning about the central projection and perspective drawing. And it will help to develop teaching and learning materials for the mathematically gifted. The result of this study is as followings : mathematically gifted middle school students show the various characteristics of mathematical thinking like as intuitive insight, generalization, logical thinking & mathematical abstraction and so on, and the teacher plays roles as instructional designer, facilitator, technical assistant and counselor.

• Proceedings of the Korea Society of Mathematical Education Conference
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• 2007.06a
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• pp.21-28
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• 2007

학교수학의 내용 중에는 수학적으로 깊은 의미를 가지고 있지만, 교실수업에서는 자명한 것으로 취급되어 그 중요성이 간과되고 있는 것이 있다. 본 연구에서는 원주율의 값이 상수라는 익숙한 사실을 그 구체적인 예로 들어 수학적 의미를 재음미하는 한편, 아르키메데스가 원주율을 계산한 방법 속에서 교육적 시사점을 찾아 탐구주제로서의 원주율의 가치를 부각시키고자 한다.

• Journal of Gifted/Talented Education
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• v.15 no.1
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• pp.85-102
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• 2005

Some properties on the mathematical hyper-dimensional figures by 'the principle of the permanence of equivalent forms' was investigated. It was supposed that there are 2 conjectures on the making n-dimensional figures : simplex (a pyramid type) and a hypercube(prism type). The figures which were made by the 2 conjectures all satisfied the sufficient condition to show the general Euler's Theorem(the Euler's Characteristics). Especially, the patterns on the numbers of the components of the simplex and hypercube are fitted to Binomial Theorem and Pascal's Triangle. It was also found that the prism type is a good shape to expand the Hasse's Diagram. 5 mathematically gifted high school students were mentored on the investigation of the hyper-dimensional figure by 'the principle of the permanence of equivalent forms'. Research products and ideas students have produced are shown and the 'guided re-invention method' used for mentoring are explained.

• Communications of Mathematical Education
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• v.17
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• pp.31-48
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• 2003

영재교육이 우리나라의 미래를 좌우한다는 생각은 이제 매우 설득력을 얻고 있지만 구체적인 학습자료와 이론이 여전히 부족한 상태이다(1999,김주봉). 수학 캠프의 활동에 관한 교육 프로그램은 더욱더 찾아보기 힘들다. 대구광역시 동부교육청 시범영재학급에서는 03년 1월 9일부터 11일까지 2박3일간 동부 계명대학교 자연과학부 백은관에서 영재캠프를 개최하였다. 이번 캠프는 주제탐구중심의 캠프로서 협동심과 창의력중심으로 전국 최초로 이루어졌고, 4학년 22명, 5학년 21명, 6학년 24명 총 67명과 담당장학사1명, 진행도우미 8명, 운영교수진 8명, 체험학습 강사10명 총94명이 참가하였다. 프로그램은 영재교육의 전문가인 교수와 초 중등 현직교사들에 의하여 운영되었고, 프로그램 계획 수립 및 진행총괄은 담당장학사와 본 연구자가 진행하였다. 학생들의 수준의 차이가 적지 않는 데다가 본 연구자는 4개월 동안 캠프를 준비하여 학생들로부터 캠프에 대한 소감을 통하여 결과가 긍정적인 내용이 많아서 매우 성공적인 캠프가 이루어 졌다고 생각한다. 본 고에서는 캠프일정과 운영. 교육프로그램, 주제탐구물 결과에 대하여 살펴볼 것이다.