• Title/Summary/Keyword: 동적기하 소프트웨어

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On the software of geometry education in the internet age (인터넷 환경의 동적기하 S/W에 관한 연구)

  • 김태순;박경수;전명진;최건돈;한동숭
    • Journal of the Korean School Mathematics Society
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    • v.6 no.2
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    • pp.39-53
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    • 2003
  • We study the dynamic geometry software suitable for the Internet Environment. First, we look into the necessity of dynamic geometry software and compare the functions and the features of commercial softwares, GSP, Cabri and Cinderella. Secondly, we introduce the process of development and the structure of the new software DRC(Digital Ruler and Compass) designed by authors and discuss the learning program with DRC and Internet, and view the upgrade of the software in the future.

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A Dynamic Inferential Framework for Learning Geometry Problem Solving (기하 문제 학습을 위한 동적 추론 체계)

  • Kook, Hyung-Joon
    • Journal of KIISE:Software and Applications
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    • v.27 no.4
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    • pp.412-421
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    • 2000
  • In spite that the main contents of mathematical and scientific learning are understanding principles and their applications, most of existing educational softwares are based on rote learning, thus resulting in limited educational effects. In the artificial intelligence research, some progress has been made in developing automatic tutors based on proving and simulation, by adapting the techniques of knowledge representation, search and inference to the design of tutors. However, these tutors still fall short of being practical and the turor, even a prototype model, for learning problem solving is yet to come out. The geometry problem-solving tutor proposed by this research involves dynamic inference performed in parallel with learning. As an ontology for composing the problem space within a real-time setting, we have employed the notions of propositions, hypotheses and operators. Then we investigated the mechanism of interactive learning of problem solving in which the main target of inference involves the generation and the test of these components. Major accomplishment from this research is a practical model of a problem tutor embedded with a series of inference techniques for algebraic manipulation, which is indispensable in geometry problem solving but overlooked by previous research. The proposed model is expected to be applicable to the design of problem tutors in other scientific areas such as physics and electric circuitry.

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Exploring of the Possibility to Construct the Items for Computer-based Assessment in Mathematics : Focused on Fence Items in PISA2012 or 2015 within an Environment of Dynamic Geometric Software (컴퓨터기반수학평가(CBAM)의 문항 제작 가능성 탐색: 동적 기하소프트웨어 환경에서 PISA2012 또는 2015 울타리 문항을 중심으로)

  • Lee, Seo Bin;Kim, Sun Ho;Choi-Koh, Sang Sook
    • Journal of the Korean School Mathematics Society
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    • v.20 no.3
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    • pp.325-344
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    • 2017
  • Since PISA2006, the computer based assessment in mathematics(CBAM) was introduced for the first times and at last PISA2015 used all items in CBAM for problem solving. In this study, we focused on which important properties were considered in constructing geometric 'fence items' used in PISA 2015 to find the future direction over our teacher education, especially for constructing 'computer based assessment items.' For the purpose of the study, we analyzed the fence items on three components such as dependency, invariant, and path found in dragging activities, within a computer environment using the dynamic Geometry Software, GSP. Also, for the future, we provided an open-ended problem related to the fence items, which we could use as the merit of computer-based environment.

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Investigation to Teach Graphical Representations and Their Interpretations of Functions to Fifth Graders (함수의 그래프 표현 및 그래프 해석 지도 가능성 탐색 - 초등학교 5학년을 중심으로 -)

  • Lee, Hwa-Young;Ryu, Hyun-Ah;Chang, Kyung-Yoon
    • School Mathematics
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    • v.11 no.1
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    • pp.131-145
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    • 2009
  • This research was designed to investigate the possibility to teach function concept and graph representation of functions in explicit manner toward at elementary level. Eight class-hours instruction was given to four Grade 5(age 11) students, and dynamic geometry software GSP was partially used in the class. Results indicate that the students could conceptualize the function relation, interpret linear function graphs, recognize the meaning of their slopes, and discuss the relationships among linear graphs and real life situation. Results also indicate that GSP helped students to recognize the relation between dots and the linear graph clearly and that GSP-line graph did decisive role for children to understand the meaning of graph representation of function.

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A Method for Malware Similarity Analysis based on Behavior Pattern Graph (행위 그래프를 이용한 악성코드 유사도 판별법)

  • Kim, Ji-Hun;Son, Kang-Won;Cho, Doosan;Youn, JongHee
    • Proceedings of the Korea Information Processing Society Conference
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    • 2015.04a
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    • pp.501-503
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    • 2015
  • Malicious(악의적인) + Code 즉, 악의적인코드를 포함한 소프트웨어라는 의미로 줄여 Malware(Malicious + Software) 라고 불리는 악성코드는 최근 네트워크와 컴퓨터의 급속한 발전에 따라 기하급수적으로 증가하고 있는 추세이다. 폭발적인 증가율 추세를 보이고 있는 악성코드의 위협을 대비하기 위해 악성코드에 대한 분석이 필요한데 그 분석의 종류로는 초기분석, 동적 분석, 정적분석으로 나누고 장, 단점을 정리하였다. 또한 악성코드 대량화에 따른 효율적인 분석과 빠른 의사결정을 위한 악성코드 유사도에 대한 연구를 소개하고 API Call Sequence와 분류된 API를 이용한 악성행위 유사도 판별법을 제시하고 실험하였다.

A Dynamic Orchestration Framework for Supporting Sustainable Services in IT Ecosystem (IT 생태계의 지속적인 운영을 위한 동적 오케스트레이션 프레임워크)

  • Park, Soo Jin
    • KIPS Transactions on Software and Data Engineering
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    • v.6 no.12
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    • pp.549-564
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    • 2017
  • Not only services that are provided by a single system have been various with the development of the Internet of Things and autonomous software but also new services that are not possible before are provided through collaboration between systems. The collaboration between autonomous systems is similar to the ecosystem configuration in terms of biological viewpoints. Thus, it is called the IT Ecosystem, and this concept has arisen newly in recent years. The IT Ecosystem refers to a concept that achieves a mission of each of a number of heterogeneous systems rather than a single system utilizing their own autonomy as well as achieving the objectives of the overall system simultaneously in order to meet a single common goal. In our previous study, we proposed architecture of elementary level and as well as basic several meta-models to implement the IT Ecosystem. This paper proposes comprehensive reference architecture framework to implement the IT Ecosystem by cleansing the previous study. Among them, a utility function based on cost-benefit model is proposed to solve the dynamic re-configuration problem of system components. Furthermore, a measure of using genetic algorithm is proposed as a solution to reduce the dynamic re-configuration overhead that is increased exponentially according to the expansion of the number of entities of components in the IT Ecosystem. Finally, the utilization of the proposed orchestration framework is verified quantitatively through probable case studies on IT Ecosystem for unmanned forestry management.

Improvement of the Mathematical Creativity Using Engineering Tools in Mathematics Mentorship Program (수학 사사과정에서 공학도구를 이용한 창의력 증진)

  • Boo, Deok Hoon
    • 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.

A Study on Learning and Teaching Environments for Computers and Mathematics Education ('컴퓨터와 수학교육' 학습-지도 환경에 관한 연구)

  • Kim, Hwa-Kyung
    • Journal of Educational Research in Mathematics
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    • v.16 no.4
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    • pp.367-386
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    • 2006
  • There are two strands for considering tile relationships between education and technology. One is the viewpoint of 'learning from computers' and the other is that of 'learning with computers'. In this paper, we call mathematics education with computers as 'computers and mathematics education' and this computer environments as microworlds. In this paper, we first suggest theoretical backgrounds ai constructionism, mathematization, and computer interaction. These theoretical backgrounds are related to students, school mathematics and computers, relatively As specific strategies to design a microworld, we consider a physical construction, fuctiionization, and internet interaction. Next we survey the different microworlds such as Logo and Dynamic Geometry System(DGS), and reform each microworlds for mathematical level-up of representation. First, we introduce the concept of action letters and its manipulation for representing turtle actions and recursive patterns in turtle microworld. Also we introduce another algebraic representation for representing DGS relation and consider educational moaning in dynamic geometry microworld. We design an integrating microworld between Logo and DGS. First, we design a same command system and we get together in a microworld. Second, these microworlds interact each other and collaborate to construct and manipulate new objects such as tiles and folding nets.

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An analysis of the use of technology tools in high school mathematics textbooks based (고등학교 수학 교과서의 공학 도구 활용 현황 분석)

  • Oh, Se Jun
    • Communications of Mathematical Education
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    • v.38 no.2
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    • pp.263-286
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    • 2024
  • With the introduction of AI digital textbooks, interest in the use of technology tools in mathematics education is increasing. Technology tools have the advantage of visualizing mathematical concepts and discovering mathematical principles through experimentation and inquiry. The 2015 revised mathematics curriculum in Korea already mentions the use of technology tools, and accordingly, various teaching and learning activities using technology tools are presented in mathematics textbooks. However, there is still a lack of systematic analysis on the types and utilization methods of technology tools presented in textbooks. Therefore, this study analyzed the current status of the use of technology tools presented in high school mathematics textbooks based on the 2015 revised curriculum. To this end, the types of technology tools presented in mathematics textbooks were categorized, and the utilization ratio of each category was investigated. In addition, the utilization patterns of technology tools were analyzed by subject and content area, and the utilization ratio of technology tools according to the type of teaching and learning activities was examined. The results showed that technology tools were used in various types and ratios according to the subject and content area. In particular, technology tools in the symbol-manipulation graphing software category accounted for 58% of the total usage cases, showing the highest proportion. By subject, the use of symbol-manipulation graphing software was prominent in subjects dealing with the analysis area, while the use of dynamic geometry software was relatively high in the geometry area. In terms of teaching and learning activity types, the utilization ratio of auxiliary tool type (49%) and intended inquiry induction type (37%) was high. The results of this study show that technology tools play various roles in mathematics textbooks and provide useful implications for improving mathematics teaching and learning methods using technology tools in the future. Furthermore, it can contribute to the establishment of educational policies related to AI digital textbooks and the development of teacher training programs.

An Instantaneous Integer Ambiguity Resolution for GPS Real-Time Structure Monitoring (GPS 실시간 구조물 모니터링을 위한 반송파 관측데이터 순간미지정수 결정)

  • Lee, Hungkyu
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.34 no.1
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    • pp.341-353
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    • 2014
  • In order to deliver a centimeter-level kinematic positioning solution with GPS carrier-phase measurements, it is prerequisite to use correctly resolved integer ambiguities. Based on the mathematical modeling of GPS network with application of its geometrical constraints, this research has investigated an instantaneous ambiguity resolution procedure for the so-called 'integer constrained least-squares' technique which can be effectively implemented in real-time structure monitoring. In this process, algorithms of quality control for the float solutions and hypothesis tests using the constrained baseline for the ambiguity validation are included to enhance reliability of the solutions. The proposed procedure has been implemented by MATLAB, the language of technical computing, and processed field trial data obtained at a cable-stayed bridge to access its real-world applicability. The results are summarized in terms of ambiguity successful rates, impact of the stochastical models, and computation time to demonstrate performance of the instantaneous ambiguity resolution proposed.