• Journal of the Korean School Mathematics Society
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• v.11 no.3
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• pp.483-512
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• 2008

The gift program developed at KEDI is based on Enrichment Triad Model. The output of the students who completed Enrichment Triad Model has to be new and useful in creative knowledge. However, most of the students' output has been the summaries of what is learned that they were not creatively developed as experts' would be. Thus, this study follows the KEDI's guideline for developing gift program so that it could give suggestion on how to develop students' research skills when developing and applying gift program.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.2
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• pp.263-285
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• 2010

It is necessary to accumulate the studies on the practical learning and teaching for the Mathematical talent education in elementary school. In this study, I set the 4th grade children mathematically gifted in elementary school to pose the various number calculating formulars, 4 4 4 4 = 0, 1, 2,$\cdots$10, by using to +, -, ${\times}$, $\div$, ( ). And I analysed their products. In 2007, I gave the same task to 5th graders and got a significant result. To expand the target of my study, I used the same investigating method for children of different graders. As a result, I conclude that math brains in 4th grade also can create various many number calculating formulas. I find that children pose to various many calaulating formulars becoming 0, 1, 8, 4 in order whereas they pose to a little calaulating formulars becoming 10, 6, 5, 9 orderly. Most errors are due to the order of calculation or confusion about parenthesis. This study contributes to test methods and text development for math brains in elementary school.

• Journal of Information Technology and Architecture
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• v.9 no.1
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• pp.111-120
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• 2012

Many Countries are recently focued on building capability based military and operating for the defense budget efficiency and operational effectiveness. The EA not only defines enterprise scope but also identifies relation among them, manage change and complexity. Accordingly, this research aims to build architecture framework which can achieve alignment, integration and interoperability by developing it with output. Through this, architecture framework can be changed into force development and operation. And it can be used for construction of effective force and operation for NCO by applying mathematical model and method of force priority development based on developed capabilities-based architecture framework.

• Journal of the Korean School Mathematics Society
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• v.14 no.4
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• pp.443-458
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• 2011

There has been a lively discussion on improving Korean students' academic achievement and the imbalance in their recognition of the value of mathematics. In this context, there is a need for a program that enables the majority students who regards mathematics as a subject for the entrance examination to recognize the practicality and historicity of mathematics. Educational books on mathematics in everyday life or the history of mathematics are also expected to serve as an effective tool. In addition, Web 2.0 Map is another means of representing mathematics in everyday life and the history of mathematics in connection with the practical context. The active storytelling process in which mathematics in the practical context in mathematical educational books is represented in Web 2.0 Map is expected to help to understand in depth the practicality and historicity of mathematics. Nevertheless, mathematical educational books and Web 2.0 Map may lead to a considerable variety of outcomes and speeds if carrying out tasks depending on the student's competence and may have practical difficulties in being operated in class. These concerns, however, can be resolved through the creative activity programs adopted in conformance with the 2009 revised curriculum. Therefore, this study intends to develop a program for creating mathematical story maps through mathematical educational books and the Mashup of Web 2.0 Map in accordance with the process of developing activity programs. This study also intends to determine its effectiveness in enabling students to recognize the practical and historical values of mathematics.

• Proceedings of the Korean Society of Surveying, Geodesy, Photogrammetry, and Cartography Conference
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• 2003.10a
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• pp.87-90
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• 2003

정밀한 위치결정에 사용되는 GPS는 초기 군사목적을 벗어나 자동차, 선박, 비행기 등의 항법은 물론 측량분야, 지각 및 구조물의 변위 감시, 우주, 통신, 국방 분야 등 매우 광범위한 분야에서 활용되고 있으며, 그 이용도가 급속히 증가하는 추세이다. 그러나 GPS 관측값은 부정오차와 정오차 등 많은 오차를 포함하고 있기 때문에 이를 소거하거나 최소화하여야 한다. GPS 오차는 크게 위성궤도나 위성시간 오차등 위성에 관련된 오차, 수신기 잡음이나 다중경로 등 수신기 관련 오차, 그리고 대류권이나 전리층에 의한 전파 오차로 구분할 수 있다. 이들 오차들은 대부분 차분방법과 수학적 알고리즘에 의해 소거되거나 최소화되지만, 다중경로와 수신기 잡음은 소거하거나 축소할 수 없다. 다중경로는 관측당시의 수신기 주변환경에 따라 바뀌기 때문에 수학적으로 소거할 수 없으며, 수신기 잡음은 수신기 내부의 노이즈로 인하여 발생하기 때문에 소거하기가 상당히 어렵다. 본 연구에서는 다중경로에 의한 GPS 기선변화를 알아보기 위해서 여러 조건하에서 정적 GPS 측량을 실시하였다. 먼저 정확한 좌표를 알고 있는 한 점에 GPS를 설치하고 다른 두 대의 GPS을 임의 점에 설치하였고, 이들 두 GPS 중에 하나의 수신기에 다중경로 환경을 설정하였다 정적 GPS 관측시 기선에 어떠한 변화가 오는 파악하기 위해서 기선처리와 망조정을 통해 기선길이와 좌표값을 산출하였다. 이러한 다중경로 실험은 구조물 모니터링 등 mm 정확도를 요구하는 GPS 측량에 유용하게 사용될 수 있을 것이다.

• Transactions of the Korean Society for Noise and Vibration Engineering
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• v.17 no.2 s.119
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• pp.185-193
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• 2007

This paper deals with the application of the numerical differentiation using the differential quadrature(DQ) in the curved member-like structural analysis. Derivative values of the geometry of structure are definitely needed for analyzing the structural behavior. For verifying the numerical differentiation using DQ, free vibration problems of arch are selected. Terms of curvature composed with the derivatives of arch geometry obtained herein are agreed quite well with exact values obtained explicitly. Natural frequencies subjected to terms of curvature obtained by DQ are agreed quite well with those in the literature. The numerical differentiation using DQ can be practically utilized in the structural analysis.

• Journal of the Korean School Mathematics Society
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• v.10 no.2
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• pp.221-235
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• 2007

Open problems can provide experiences for students to yield originative and various products in their level, because it is open with respect to its departure situation, goal situation, or solving method. Teachers need to pose and utilize open problems in forms of solution-finding or proving problems. For this we first have to specify which resource and method to use by concrete examples. In this article, we exemplify a method and procedure of posing an open problem by the two cases in which we pose open problems by reorganizing given closed problems. And we analyze students' responses for the two posed open problems. On the basis of these, we reflect implications for mathematical education of open problems.

• Journal of Educational Research in Mathematics
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• v.18 no.4
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• pp.455-467
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• 2008

We need to reflect the establishment of meaning and level of 'proof and argumentation in middle school mathematics'. It should be considered as human activity through communication in community. Thus, we should design instruction from this standpoint. From this point of view, we had been operated 'Geometry Inquiry Class' aimed at middle school students in eighth grade for two years to improve current geometry class in middle school. In this study, we will observe how individual students' original proof schemes are developed and accepted to the class through the process of mutual negotiation between the teacher and students. The episode with four phases begins with the initial proof schemes students have offered. Through the negotiation of class participants, it gives birth to the proof scheme unique to the current geometry classroom. Why do we pay attention to the process? It is because we think that the value of this type of instruction lies in the process of communication and mutual understanding and mutual reference, not in the completeness of the final product. This is the very appropriate proof in the middle school mathematics classroom.

• Journal of Elementary Mathematics Education in Korea
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• v.24 no.2
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• pp.187-205
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• 2020

The purpose of this study is to develop the elementary mathematics education program for the cultivation of humanistic imagination and characters through the link between mathematics and literature to find out its effectiveness. This study has verified the effectiveness of mathematics academic achievement, humanistic imagination and characters with the program development and preliminary program and application of this program for two years. After conducting classes on proportional expression and proportional distribution for 79 sixth-grade elementary school students (39 in the experimental class and 40 in the comparative class) in Seoul and Gyeonggi-do under this program, the researcher analyzed how the application of the program affects students' perception using pre- and post-examinations on mathematics academic achievement, humanistic imagination, and characters, including interviews with students, and analysis of outputs of the students. Studies have shown that the application of the elementary mathematics education program to foster humanities imagination and characters did not make any significant difference in mathematics academic achievement, and there were statistically significant differences in the subcategories of "reflection on life", "positive self-consciousness" and "humanistic imagination" categories, and there were no statistically significant differences in the "purpose of life" and "human relations" categories. However, the responses from the students' interviews showed that their perspectives of humans and the world has become wider and deeper. It also did not produce significant results for characters. As suggestions, the ministry should present the need to develop and distribute concerning materials for teachers, secure time for creative experience activities for convergence subjects, and operate practical and long-term training programs for teachers.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.12 no.4
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• pp.157-165
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• 1992

IMS, a precision coordinate measuring system using theodolites, is being used to survey and align precision mechanical structures. Compared to conventional mechanical devices for precision measurement, such as CMM (Coordinate Measuring Machine), the target objects of IMS have little limitations in their sizes and shapes, and can be measured in place. Also since IMS displays the coordinate values in real-time, it is possible to perform measurement and alignment of the objects simultaneously. In this paper, the elements and functions of IMS are introduced and a mathematical model of the new software, which utilizes an altered version of the 'Bundle' adjustment algorithm of analytical photogrammetry for the specific use of IMS, is demonstrated. Differences of the mathematical model of IMS from that of analytical photogrammetry are discussed by following the steps of the 'Measurement' option in the 'Main Menu' of the software. A new IMS calibration method is proposed to calculate better first approximations for the 4 unknown theodolite parameters and the coordinates of target objects. The software provides the 'Bundle' procedure for the first approximations of the unknowns before the real-time measurement. It also provides an opportunity of 'bundling' to re-adjust the collected positional data at the end of the measurement.