• Proceedings of the Korean Institute Of Construction Engineering and Management
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• 2004.11a
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• pp.543-547
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• 2004

Visualization of construction process simulation and physical modeling were considered to overcome the limitations of current graphical simulation. The output of discrete-event simulation programs which are the most common mathematical statistical simulation tool for construction processes were analyzed for the visualization of earthmoving process that dealing with objects without fixed. Object-oriented models for equipment, material and work environments were devised to effectively visualize the numerical simulation results of the working time, the queuing time as well as the amount resources etc. The oscillation of the crane's cable and the lifted material that should be considered to rationally modeled and simulated by construction graphical simulation. The derived equation of motion was solved by numerical analysis procedure. Then obtained results was used for physical modeling.

• School Mathematics
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• v.11 no.2
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• pp.281-299
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• 2009

In this paper, we show how dynamic manipulation environments can be integrated in the mathematics curriculum by presenting some pedagogical tasks manufactured by dynamic manipulation. These examples are composed to produce meaningful definitions through inductive experiments, to strengthen the thinking ability on continuity through the visualization, to make mathematics through investigation and finding, and to strengthen the ability of posing and generalizing problems. Through these examples students can observe the process of how mathematics is being invented, and they can experience how to solve mathematical problems using physical experiments in dynamic manipulation environments. When integration of dynamic manipulation into the teaching and learning of mathematics is applied, some difficulties can come out. To resolve such difficulties, a teacher must play the role of a co-worker of students in addition to the role of a scaffolder, coach, or close listener.

• 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.

• School Mathematics
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• v.16 no.2
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• pp.317-334
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• 2014

The purpose of this study is to grasp pre-service secondary teachers' understanding-realities for Taylor series convergence conceptions and to examine a teaching way using GeoGebra based on the understanding-realities. In this study, most pre-service teachers have abilities to calculate the Taylor series and radius of convergence, but they are vulnerable to conceptual problems which give meaning of the equality between a given function and its Taylor series at any point. Also they have some weakness in determining the change of radius of convergence according to the change of Taylor series' center. To improve their weakness, we explore a teaching way using dynamic and CAS functionality of GeoGebra. This study is expected to improve the pedagogical content knowledge of pre-service secondary mathematics teachers for infinite series treated in high school mathematics.

• Journal of Gifted/Talented Education
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• v.22 no.2
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• pp.371-386
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• 2012

Spatial ability has been valued as one component of intelligence and as an talented domain. The researchers agree that spatial ability is associated with the achievements in science, technology, engineering, and mathematics (STEM) disciplines and important in STEM education. The purpose of this study is to assess Korean middle school students' spatial ability and compare Gifted Students and General Students' spatial ability. For this purpose, 'The Revised PSVT:R' was translated into Korean and administered 509 Korean middle school students, and also internal consistency reliability evidence and construct validity evidence of 'The Revised PSVT:R' were examined. This study explored the spatial ability of Korean middle school students (graded 7 through 9), and investigated association between spatial ability and students' mathematics achievement, the students' spatial ability according to their gender and grade level. As a result, this study shows that gifted students were better than general students in spatial ability. And there were significant correlations between spatial ability and mathematics, science, Korean language achievement. According to these results, spatial ability should be included as one of the important components in identifying students for gifted education programs.

• Communications of Mathematical Education
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• v.30 no.4
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• pp.435-452
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• 2016

This study was designed to explore students' instrumentalization in relation to the van Hiele's teaching method within a technology environment using GeoGebra. To carry out the study, a total of 4 lesson units was developed based on van Hiele teaching method for two slow learners in Gyeonggi province, Korea. The results of study were as follows. Instrumentalization of students was actualized from preparation, to adaptation, and to application stages. In preparation, and adaptation stages, depending on visualization, students used a trial-and-error method a lot, however in application stage the role of GeoGebra was just to check the solution of what they conjectured. Therefore, a teacher should prepare geometric tasks according to the processes of instrumentalization based on geometric teaching method. During instrumentalization and instrumentation of users, usage scheme(US) and instrumented action scheme(IAS) should be concrete.

• The Mathematical Education
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• v.45 no.3 s.114
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• pp.263-273
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• 2006

The purpose of this paper is to research the factors and the effects of immediacy in mathematics teaching and learning and mathematical problem solving. The factors of immediacy are visualization, functional fixedness and representatives. In special, students can apprehend immediately the clues and solution using the visual representation because of its properties of finiteness and concreteness. But the errors sometimes originate from visual representation which come from limitation of the visual representation. It suggests that students have to know conceptual meaning of the visual representation when they use the visual representation. And this phenomenon is the same in functional fixedness and representatives which are the factors of immediacy The methods which overcome the errors of immediacy is that problem solvers notice the limitation of the factors of immediacy and develop the meta-cognitive ability. And it means we have to emphasize the logic and the intuition in mathematical teaching and learning. Clearly, we can't solve all mathematical problems using only either the logic or the intuition.

• Proceedings of the Korean Society for Cognitive Science Conference
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• 2002.05a
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• pp.59-64
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• 2002

인지심리학 및 인지언어학 분야에서 시도한 어휘 표상, 특히 움직임과 관련된 동사의 인지도식에 관한 연구들을 비교해보고자 한다. 인간의 언어학적인 지식을 도식적으로 표상 하고자 하는 노력은 언어의 통사적인 외형에만 치중하는 연구에서는 언어의 의미구조를 파악하기 힘들다고 판단하고 의미적인 범주화를 중요시하게 되었다. 본 연구에서는 시각적 이미지 도식을 중점적으로 살펴보기로 한다. 이미지 도식은 공간적 위치 관계, 이동, 형상 등에 관한 지각과 결부되어 있다. 이미지로 나타낸 표상은 근본적으로 세상의 인식과 세상에 대한 행동방법을 사용하게 하는 유추적이고 은유적인 원칙에 기초하고 있다. 이러한 점에 있어서, 언술을 발화한 화자는 어느 정도 주관적인 행동의 능력과 그가 인식한 개념화에서부터 문자화시킨 표상을 구성한다. 인지 원칙에 입각한 의미 표상에 중점을 둔 도식으로는, Langacker, Lakoff, Talmy의 도식이 있다. 프랑스에서 톰 R. Thom과 같은 수학자들은 질적인 현상에 관심을 가져 형역학(morphodynamique)이론을 확립하였는데, 이 이론은 요즘의 인지 연구에 수학적 기초를 제공하였다. R. Thom, J. Petitot-Cocorda의 도식 및 구조 의미론의 창시자라고 불리는 B.Pottier의 도식이 여기에 속한다 J.-P. Descles가 제시한 인지연산문법(Grammaire Applicative et Cognitive)은 다른 인지문법과는 달리 정보 자동처리과정에서 사용할 수 있는 연산자와 피연산자의 관계에 기초한 수학적 연산작용을 발전시켰다. 동사의 의미는 의미-인지 도식으로 설명되는데, 이것은 서로 다른 연산자와 피연산자로 구성된 형식화된 표현이다. 인간의 인지 기능은 언어로 표현되며, 언어는 인간의 의사소통, 사고 행위 및 인지학습의 핵심적 기능을 담당한다. 인간의 언어정보처리 메카니즘은 매우 복잡한 과정이기 때문에 언어정보처리와 관련된 언어심리학, 인지언어학, 형식언어학, 신경해부학 및 인공지능학 등의 관련된 분야의 학제적 연구가 필요하다.

• Proceedings of the Korea Multimedia Society Conference
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• 2001.06a
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• pp.103-106
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• 2001

최근 들어 인간의 의지를 컴퓨터에 전달하기 위한 수단으로 컴퓨터 시각기반 방식으로 제스처를 인식하고자 하는 연구가 널리 진행되고 있다. 제스처 인식에서 가장 중요한 문제는 실시간 처리로 알고리즘의 단순화와 처리시간의 감소이다. 이러한 문제를 해결하기 위해서 본 연구에서는 기하학적 집합론에 근거하고 있는 수학적 형태론을 적용하였다. 형태론적 형상분해를 적용하여 얻은 손짓 형상의 원시형상 요소들의 방향성은 손짓에 관한 중요한 정보를 내포하고 있으며 이러한 특징에 근거하여 본 연구에서는 주 원시형상 요소와 부 원시형상원소의 중심점을 연결하는 직선으로부터 특징벡터를 이용한 형태론적 제스처 인식 알고리즘을 제안하고 실험을 통하여 그 유용성을 증명한다.

• Journal of Educational Research in Mathematics
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• v.24 no.4
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• pp.481-498
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• 2014

This study analyzed Japan, Taiwan, Hongkong, Finland, and China National Mathematics Curriculums to find the implications to improve Korean High school Mathematics curriculum. First, at the aspect of mathematics education goals, we can consider to select the logical thinking, the use of mathematics, and the mathematical inquiry in the cognitive domain and self-confidence, brevity, a sense of accomplishment, and the value of mathematics in the affective domain. Second, when high students consider their course, he/she should be able to select mathematics subjects according to her/his desired career and/or major. Third, I found that sine rule, cosine rule and correlation were included as compulsory contents of Japan, Taiwan and China but not Korea. Finally I suggest that we need to show and explain kindly the range of the contents and to develop the Korean mathematics curriculum model.