• 제목/요약/키워드: analyzing mathematics

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독일 아비투어(Abitur)의 수학시험 체제 및 문항 분석 (Analysis of mathematics test structures and tasks in Abitur)

  • 김성경;이미영
    • 한국수학교육학회지시리즈A:수학교육
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    • 제61권2호
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    • pp.287-303
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    • 2022
  • 본 연구의 목적은 독일의 아비투어 수학시험의 체제와 문항을 분석함으로써 수능 체제 개선을 위한 시사점을 도출하는 것이다. 이를 위해 아비투어의 체제를 개관하고 수학과 표준 교육과정과 아비투어의 관계를 고찰하였다. 또한 기본수준과 심화수준 시험의 체제, 수행지시동사, 공학적 도구 및 공식집의 사용을 중심으로 수학시험 체제를 분석하고, 2021년 수학시험 문항의 특징을 분석하였다. 분석 결과 첫째, 역량 교육을 표방한 독일은 교육과정에서 강조한 역량을 학생들이 갖추었는지를 아비투어에서 평가하고 있다. 둘째, 공학적 도구의 적절한 사용을 강조하는 독일은 아비투어 수학시험에서 공학적 도구를 사용하는 문항과 그렇지 않은 문항을 모두 활용한다. 셋째, 아비투어 수학시험은 정해진 수행지시동사를 이용하여 대부분의 문항을 구성하고, 여러 종류의 지시어를 활용하여 역량을 평가하는 다양한 유형의 문항을 출제하고 있다. 넷째, 아비투어 수학시험은 2~3개의 하위문항으로 이루어진 간단한 구조의 문항뿐만 아니라 빅아이디어를 중심으로 하나의 상황을 심도 있게 다루는 문항을 포함한다. 마지막으로, 수학적 정당화와 증명이 아비투어에서 중요한 비중을 차지하고 있다. 이를 토대로 수능 체제 개선을 위한 구체적인 방안을 몇 가지 제시하였다.

계절이 오행의 상태에 미치는 영향 (Effects of Seasonal Cycle on Yin-Yang Five-States)

  • 이수빈;강정임;김상균;김안나;이상희
    • 대한한의학회지
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    • 제34권1호
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    • pp.136-145
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    • 2013
  • Objectives: Recently, Korean medicine has been explored by employing mathematical methods, which is an effort to raise Korean medicine to a higher level of scientific research. In that vein, we propose a mathematical model, analyzing the effects of seasonal cycle as an external factor in addition to the internal interactions of five-states, the engendering and the restraining. Methods: Some modified differential equations with 5-state variables were given to describe the interactions of the engendering and the restraining, and effect of seasonal cycle, and are numerically analyzed by Runge-Kutta method. We then simulated it along with time and dynamically analyzed it by Moran's I, a spatial autocorrelation. Results: We showed the effects of seasonal cycle on yin-yang five-states and applied it to the human life cycle. Conclusions: Our result is comparable to previous results in the respect that we consider the seasonal cycle and its effect on five-states, unlike others' mainly focusing on internal interaction. Furthermore, we suggest some follow-up study taking into consideration the complexity and diversity of external factors.

정보화 시대 한국의 기능적 소득분배와 Goodwin 성장순환모형: 1981~2016 (Goodwin's Growth Cycle Model and Functional Income Distribution in the Information Age of Korea: 1981~2016)

  • 정승필;권오범
    • 한국전자거래학회지
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    • 제25권3호
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    • pp.63-76
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    • 2020
  • 21세기 들어 정보화는 국민 제반의 삶에 지대하게 작용하고 있다. 실제 정보화로 인해 일어나는 사회구조와 생활양식의 엄청난 변화를 몸소 체험하고 있다. 본 논문은 정보화로 인한 사회구조에 대한 논의보다 경제현상에 대해 관심을 둔다. 경제성장, 경기순환, 소득분배를 종합적으로 표현 가능한 Goodwin 모형이 정보화시대 한국경제에 적합한지를 확인한다. 한국경제의 시계열자료로부터 계수를 추정하는 계량경제방법론을 택하여 모형을 시뮬레이션한다. 시뮬레이션 결과 Goodwin 모형이 한국의 기능적 소득분배를 분석하는데 적절함을 확인하였다.

A Meta-analysis of the Relationship between Mediator Factors and Purchasing Intention in E-commerce Studies

  • Nam, Soo-Tai;Jin, Chan-Yong;Sim, Jaesung
    • Journal of information and communication convergence engineering
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    • 제12권4호
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    • pp.257-262
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    • 2014
  • Meta-analysis is a statistical integration method that delivers an opportunity to overview the entire result by integrating and analyzing many quantitative research results. This study will find meaningful mediator variables for criterion variables that affect purchase and repurchase intentions in e-commerce, on the basis of the results of a meta-analysis. We reviewed a total of 114 e-commerce studies published in Korean journals between 2000 and 2014, where a cause and effect relationship is established between variables that are specified in the conceptual model of this study. In this meta-analysis, the path between trust and purchase intention showed the biggest effect size. The second biggest effect size was found in the path between commitment and purchase intention, while the smallest one was obtained with perceived. Thus, we present the theoretical and practical implications of these results and discuss the differences among these results through a comparative analysis with previous studies.

공학교육인증 프로그램의 전문교양 교과과정 구성에 관한 연구 (A Study on the General Education Curriculum for Engineering Education)

  • 김희정;김성철
    • 한국정보통신학회논문지
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    • 제15권7호
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    • pp.1621-1627
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    • 2011
  • 공학교육인증기준 KEC2005에서는 프로그램의 교육목표와 학습성과를 달성하도록 전공은 물론 수학, 기초과학, 전산학, 전문교양과 관련된 충분한 교과목이 제공되는 것을 요구한다. 따라서 학생들의 전공 교과목 이수 뿐 아니라 전문교양 교과과정에 대한 성취도 중요시 된다. 본 연구에서는 학생들이 갖추어야할 공학기본소양교육의 필요성을 검토하고, 현재 공학교육인증제를 실시하고 있는 여러 대학들의 인증 프로그램 교과과정 중 전문교양 교과과정 구성의 실태분석을 통한 전문교양 교과영역의 전형적인 모형을 도출하였다.

Dispersion of axisymmetric longitudinal waves in a "hollow cylinder + surrounding medium" system with inhomogeneous initial stresses

  • Akbarov, Surkay D.;Bagirov, Emin T.
    • Structural Engineering and Mechanics
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    • 제72권5호
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    • pp.597-615
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    • 2019
  • The paper studies the dispersion of the axisymmetric longitudinal wave propagating in the "hollow cylinder + surrounding medium" system with inhomogeneous initial stresses caused by the uniformly distributed radial compressional forces acting at infinity. Up to now in the world literature, there exist only a few investigations related to the wave dispersion in a hollow cylinder with inhomogeneous initial stresses. Therefore, this paper is one of the first attempts in this field in the sense of the development of investigations for the case where the cylinder is surrounded with an infinite medium. The three-dimensional linearized theory of elastic waves is used for describing the considered wave propagation problem and, for a solution to the corresponding mathematical problem, the discrete-analytical solution method is developed and employed. The corresponding dispersion equation is obtained and this equation is solved numerically and, as a result of this solution, the dispersion curves are constructed for the first and second modes. By analyzing these curves, the character of the influence of the inhomogeneous initial stresses on the dispersion curves is established. In particular, it is established that as a result of the inhomogeneity of the initial stresses both new dispersion curves and the "band gap" for the wave frequencies can appear.

FRACTIONAL ORDER SOBOLEV SPACES FOR THE NEUMANN LAPLACIAN AND THE VECTOR LAPLACIAN

  • Kim, Seungil
    • 대한수학회지
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    • 제57권3호
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    • pp.721-745
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    • 2020
  • In this paper we study fractional Sobolev spaces characterized by a norm based on eigenfunction expansions. The goal of this paper is twofold. The first one is to define fractional Sobolev spaces of order -1 ≤ s ≤ 2 equipped with a norm defined in terms of Neumann eigenfunction expansions. Due to the zero Neumann trace of Neumann eigenfunctions on a boundary, fractional Sobolev spaces of order 3/2 ≤ s ≤ 2 characterized by the norm are the spaces of functions with zero Neumann trace on a boundary. The spaces equipped with the norm are useful for studying cross-sectional traces of solutions to the Helmholtz equation in waveguides with a homogeneous Neumann boundary condition. The second one is to define fractional Sobolev spaces of order -1 ≤ s ≤ 1 for vector-valued functions in a simply-connected, bounded and smooth domain in ℝ2. These spaces are defined by a norm based on series expansions in terms of eigenfunctions of the vector Laplacian with boundary conditions of zero tangential component or zero normal component. The spaces defined by the norm are important for analyzing cross-sectional traces of time-harmonic electromagnetic fields in perfectly conducting waveguides.

초등학생의 수학적 모델링 적용과정에서 나타나는 의사소통에 관한 연구: 5학년 수와 연산을 중심으로 (A study on the communication in process of applying mathematical modeling to children in elementary mathematics classroom)

  • 이지영;김민경
    • 한국수학교육학회지시리즈A:수학교육
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    • 제55권1호
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    • pp.41-71
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    • 2016
  • The purpose of this study is to investigate elementary students' communication in process of applying mathematical modeling. For this study, 22 fifth graders in an elementary school were observed by applying mathematical modeling process (presentation of problem ${\rightarrow}$ model inducement activity ${\rightarrow}$ model exploration activity ${\rightarrow}$ model application activity). And the level of their communication with their activity sheets and outputs, observation records and interviews were also analyzed. Additionally, by analyzing the activity cases of and , this study researched that what is a positive influence on students' communication skills. Whereas showed significant advance in the level of communication, who communicated actively on speaking area but not on every areas showed insensible changes. To improve communication abilities, cognitive tension and debate situation are needed. This means, mathematical education should continuously provide students with mathematical communication learning, and a class which contains mathematical communication experiences (such as mathematical modeling) will be needed.

Emotional Intelligence System for Ubiquitous Smart Foreign Language Education Based on Neural Mechanism

  • Dai, Weihui;Huang, Shuang;Zhou, Xuan;Yu, Xueer;Ivanovi, Mirjana;Xu, Dongrong
    • Journal of Information Technology Applications and Management
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    • 제21권3호
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    • pp.65-77
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    • 2014
  • Ubiquitous learning has aroused great interest and is becoming a new way for foreign language education in today's society. However, how to increase the learners' initiative and their community cohesion is still an issue that deserves more profound research and studies. Emotional intelligence can help to detect the learner's emotional reactions online, and therefore stimulate his interest and the willingness to participate by adjusting teaching skills and creating fun experiences in learning. This is, actually the new concept of smart education. Based on the previous research, this paper concluded a neural mechanism model for analyzing the learners' emotional characteristics in ubiquitous environment, and discussed the intelligent monitoring and automatic recognition of emotions from the learners' speech signals as well as their behavior data by multi-agent system. Finally, a framework of emotional intelligence system was proposed concerning the smart foreign language education in ubiquitous learning.

문제 만들기를 적용한 문제해결수업이 수학적 창의성에 미치는 영향 (An Effect of Problem-solving Lessons with Problem-posing on Mathematical Creativity)

  • 김서린;김동화;서혜애
    • East Asian mathematical journal
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    • 제33권4호
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    • pp.381-411
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    • 2017
  • The purpose of this study is to investigate how students' mathematical creativity changes through problem-solving instruction using problem-posing for elementary school students and to explore instructional methods to improve students' mathematical creativity in school curriculum. In this study, nonequivalent control group design was adopted, and the followings are main results. First, problem-solving lessons with problem-posing had a significant effect on students' mathematical creativity, and all three factors of mathematical creativity(fluency, flexibility, originality) were also significant. Second, the lessons showed meaningful results for all upper, middle, and lower groups of pupils according to the level of mathematical creativity. When analyzing the effects of sub-factors of mathematical creativity, there was no significant effect on fluency in the upper and middle groups. Based on the results, we suggest followings: First, there is a need for a systematic guidance plan that combines problem-solving and problem-posing, Second, a long-term lesson plan to help students cultivate novel mathematical problem-solving ability through insights. Third, research on teaching and learning methods that can improve mathematical creativity even for students with relatively high mathematical creativity is necessary. Lastly, various student-centered activities in math classes are important to enhance creativity.