• Title/Summary/Keyword: Mathematical software

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A Study on the Effectiveness of Dynamic Geometry Software in Solving High School Analytic Geometry Problems. (탐구형 소프트웨어를 활용한 고등학교 해석 기하 교육에 관한 사례 연구)

  • 황우형;차순규
    • The Mathematical Education
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    • v.41 no.3
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    • pp.341-360
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    • 2002
  • The purpose of the study was to investigate the effectiveness of dynamic software in solving high school analytic geometry problems compared with traditional algebraic approach. Three high school students who have revealed high performance in mathematics were involved in this study. It was considered that they mastered the basic concepts of equations of plane figure and curves of secondary degree. The research questions for the study were the followings: 1) In what degree students understand relationship between geometric approach and algebraic approach in solving geometry problems? 2) What are the difficulties students encounter in the process of using the dynamic software? 3) In what degree the constructions of geometric figures help students to understand the mathematical concepts? 4) What are the effects of dynamic software in constructing analytic geometry concepts? 5) In what degree students have developed the images of algebraic concepts? According to the results of the study, it was revealed that mathematical connections between geometric approach and algebraic approach was complementary. And the students revealed more rely on the algebraic expression over geometric figures in the process of solving geometry problems. The conceptual images of algebraic expression were not developed fully, and they blamed it upon the current college entrance examination system.

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A Research on the Relations between Mathematics/statistics and Software/Hardware Tracks (소프트웨어 및 하드웨어분야의 트랙과 수학/통계와의 연관성 정도 파악)

  • Lee, Seung-Woo
    • The Mathematical Education
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    • v.47 no.4
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    • pp.505-517
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    • 2008
  • This paper studies on the necessity of mathematics/statistics in software and hardware fields. First, this research analyzes the contents of mathematics/statistics among subjects in software and hardware fields. Secondly, this research explores the relationship and connectivity between mathematics/statistics and major tracks of software and hardware fields. This connectivity between mathematics/statistics and majors in software and hardware fields would certainly contribute to creating pragmatic and professional knowledge.

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High School Student-Teachers Attempts to Justify Mathematical Propositions Utilizing Spatial Structuring on Shape Transform

  • Rahim, Medhat H.;Siddo, Radcliffe A.
    • Research in Mathematical Education
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    • v.16 no.2
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    • pp.107-123
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    • 2012
  • A group of twenty-nine high school student-teachers were given a set of mathematical propositions focusing on shape-to-shape transformations. Their task was to determine through hands-on manipulation and use of dynamic software that each shape be transformed into an area equivalent rectangular region. This paper reports on a classroom-based research.

The Impact of Dynamic Geometry Software on High School Students' Problem Solving of the Conic Sections (동적기하가 원뿔곡선 문제 해결에 미치는 영향)

  • Hong, Seong-Kowan;Park, Cheol-Ho
    • The Mathematical Education
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    • v.46 no.3
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    • pp.331-349
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    • 2007
  • This study aims to improve the teaching and learning method on the conic sections. To do that the researcher analyzed the impact of dynamic geometry software on students' problem solving of the conic sections. Students often say, "I have solved this kind of problem and remember hearing the problem solving process of it before." But they often are not able to resolve the question. Previous studies suggest that one of the reasons can be students' tendency to approach the conic sections only using algebra or analytic geometry without the geometric principle. So the researcher conducted instructions based on the geometric and historico-genetic principle on the conic sections using dynamic geometry software. The instructions were intended to find out if the experimental, intuitional, mathematic problem solving is necessary for the deductive process of solving geometric problems. To achieve the purpose of this study, the researcher video taped the instruction process and converted it to digital using the computer. What students' had said and discussed with the teacher during the classes was checked and their behavior was analyzed. That analysis was based on Branford's perspective, which included three different stage of proof; experimental, intuitive, and mathematical. The researcher got the following conclusions from this study. Firstly, students preferred their own manipulation or reconstruction to deductive mathematical explanation or proving of the problem. And they showed tendency to consider it as the mathematical truth when the problem is dealt with by their own manipulation. Secondly, the manipulation environment of dynamic geometry software help students correct their mathematical misconception, which result from their cognitive obstacles, and get correct ones. Thirdly, by using dynamic geometry software the teacher could help reduce the 'zone of proximal development' of Vigotsky.

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Design and implementation of mathematical programming software-LinPro (수리계획 소프트웨어 LinPro의 설계 및 구현)

  • 양광민
    • Korean Management Science Review
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    • v.12 no.1
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    • pp.139-156
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    • 1995
  • This study addresses basic requirements for mathematical programming software, discusses considerations in designing these software, implementation issues facing in these types of applications development, and shows some examples of codes being developed in the course. This type of projects requires long and ever-changing evolutionary phases. The experience is therefore, valuaable in suggesting some useful hints which may be salvaged for similar projects as well as providing reusable codes. In particular, scanning and parsing the free-format inputs, symbol table management, mixed-language programming, and data structures dealing with large sparse matrices are indispensable to many management science software development. Extensions to be made are also discussed.

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Geometry Education and Software: A Review (소프트웨어를 활용한 도형 교육 연구 동향 탐색)

  • Kim, Rina
    • Journal of Elementary Mathematics Education in Korea
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    • v.24 no.1
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    • pp.151-168
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    • 2020
  • The use of software is effective in developing mathematical understanding that provides mathematical problems and ensures mathematical communication. In particular, various software may provide all of the skills and conceptual activities students need to understand mathematical concepts. Based on these arguments, I analyze domestic prior studies based on the perspective of how the shape education using software affects mathematics learning. Based on the five categories of visualization, manipulation, cognitive tools, discourse promoters, and ways of thinking, domestic studies have shown that the number and categories of research related to shape education using software are limited. In addition, it was confirmed that previous studies in South Korea have been focused on the application of software rather than analysis of the changing aspects of learners' mathematics learning. These implications might be used as a basis for setting the direction of research on mathematics education related to the education of software utilization in the future.

An Implementation of Web-based Stepwise Learning System for the Mathematical Problems

  • Kwon, Soon-Kak;Cho, Woo-Je;Kim, Tai-Suk
    • Journal of Korea Multimedia Society
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    • v.6 no.4
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    • pp.630-637
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    • 2003
  • This study is designed to use the stepwise learning system for solving learner-oriented problem on the Web, which can help learners probe studying targets and contents of mathematics as well as search for a study-related materials. The study provides a Web-based Courseware design model based on the general multimedia systematic professor design model. It develops a program for remote lecture that can solve problems through interaction among a professor and the other learners. It also implements a remote teaming system for real-time environment of mathematical problems oriented by the learner. The system designed either as a Web-based mathematical Courseware or as a text mode has the purpose of providing a Web-based stepwise learning system for solving mathematical problems oriented by the learner.

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A Curriculum Analysis on Math/Stat related courses in the Computer-Software Majors (컴퓨터-소프트웨어학과의 발전을 위한 수학 및 통계 관련 교과목 분석 및 제안)

  • Lee, Seung-Woo
    • The Mathematical Education
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    • v.47 no.2
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    • pp.225-232
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    • 2008
  • The purpose of this paper is to show how much the subjects based on the mathematics and statistics contribute to the curriculum and the education of the students majoring in engineer of the Computer-Software department, and to recognize the roles of mathematics and statistics in the Computer-Software department. In order to advance the world-class Computer-Software department, it is necessary for Math/Stat to ensure the role as a basis for the Computer-Software majors as well as to extend its role to relate the core studies of the Computer-Software majors. Consequently, the recognition of Math/Stat in the Computer-Software major will enable to establish the short or/and long-tern plan for student education.

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A Mean of Structural equation modeling on AMOS Software (AMOS 소프트웨어에서 구현되는 구조방정식 모형과 의미)

  • Kim, Kyung-Tae
    • Proceedings of the Korean Association for Survey Research Conference
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    • 2007.11a
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    • pp.55-65
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    • 2007
  • In this research, it will be examined on mathematical model of AMOS software program that ues for Covariance Structure Analysis. if we have not understood to mathematical model of Covariance Structure, we fail to understand Structural equation modeling. Similarly If We were not understand to mathematical model of AMOS Software, we do not use Software adequately. Therefore we examine two sorts of Software that be designed for Structural equation modeling or Covariance Structure Analysis. In this research, We will focus on 8 assumption of Structural equation modeling and compare AMOS(Analysis of MOment Structure) program with LISREL(Linear Structure RELation) program. We found that A Program of AMOS Software have materialized with RAM(Reticular Action Model).

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A Study on Development of LCD monitor-Based Pilots' Ship-Handling Simulator

  • Jeong, Tae-Gweon;Chen, Chao;Lee, Shin-Geol;Lee, Jeong-Jin;Huh, Yong-Bum
    • Journal of Navigation and Port Research
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    • v.36 no.9
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    • pp.715-720
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    • 2012
  • This paper is to introduce the development of a LCD monitor-based pilots' ship handling simulator installed in the office of Korea Maritime Pilots Association. This simulator is composed of hardware which includes working server array, operation PC, monitor array, rudder, thruster and telegraph peripheral devices, and software which includes ship mathematical model software, ship conning software, image supporting software and so on. In this simulator, MMG mathematical model is used to create thirteen(13) ship models, which are based on sea trial data & pilots' opinion. According to requirements of pilots, virtual scenes of different port areas are built, and some required additional functions are also developed. By using this simulator, pilots can fulfill all kinds of training exercises, design of channel approaching ports, traffic safety analysis, prevention of accident research and other tasks, so as to grasp the characteristics of different ships, and accumulate experience for piloting.