• 대한수학회보
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• 제42권4호
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• pp.691-701
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• 2005

We study the strong stability for linear differential systems in connection with too-similarity, and investigate the asymptotic equivalence between linear differential systems.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제28권3호
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• pp.339-352
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• 2014

본 연구에서는 2009 개정 교육과정에 따른 수학과 교육과정에서 도입한 미분방정식 지도를 위한 수학적 모델링을 소개한다. 2014년에 1개 출판사만으로 출간된 '고급수학 II'의 교과서는 이계미분방정식 y"+y=0의 풀이를 거듭제곱 급수 방법을 사용하고 있다. 이에 따른 문제점을 알아보고 그 대안을 제시한다. 또한, 고급수학 II 교과서는 기계적 시스템을 다루고 있지만 전기적 시스템은 다루지 않고 있다. 따라서 교과서에서 다루는 일 계미분방정식을 전기회로로 지도하는 방안을 제시한다. 끝으로 미분방정식 지도와 관련된 용어를 제시한다.

• Journal of applied mathematics & informatics
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• 제15권1_2호
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• pp.527-537
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• 2004

This paper deals with the asymptotic behaviour for the semi-linear differential systems x' (t) = A(t)χ + f(t, x). We give a detailed proof of known generalization of Coppel's result about the above mentioned system.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제12권3호
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• pp.193-200
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• 2008

In this study, an innovative computer support has been suggested to improve differential perception of the students. Research has been conducted on a calculus class which has 35 students. A semi-structured interview has been reported in the study. By this interview, it was tried to make differential concept more understandable by using Micro Soft Excel component of the well-known MS Office software. By this aim, students have been asked to integrate a simple function by using MS Excel. At the end of the study, it was observed that differential concept made more sense in students' minds than previous.

• 공학교육연구
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• 제23권4호
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• pp.37-51
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• 2020

This study examined the differential effects of High-Impact Practices(HIPs) on the career aspiration of STEM college students by gender. Through the theoretical lens of Social Cognitive Career Theory(SCCT), a two-level model analysis was conducted. A sample of 2,101 third- and fourth-year undergraduate students majoring in STEM at 38 universities, which had been collected from the National Survey on College Student Experiences and Learning Outcomes funded by the Korea Research Foundation, was used. This study found that the three HIP domains(learning with peers, faculty support, content relevancy) had different influences depending on gender. These findings suggest that HIPs can benefit the development of female students' career aspiration and have gender-differential effects on students in STEM majors. Based on those findings, this study also deduced implications about the roles of faculty members and higher-education institutions that might foster the retention of women in STEM.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제19권4호
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• pp.733-767
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• 2005

During the past decades, there has been a fundamental change in the objectives and nature of mathematics education, as well as a shift in research paradigms. The changes in mathematics education emphasize learning mathematics from realistic situations, students' invention or construction solution procedures, and interaction with other students of the teacher. This shifted perspective has many similarities with the theoretical . perspective of Realistic Mathematics Education (RME) developed by Freudental. The RME theory focused the guide reinvention through mathematizing and takes into account students' informal solution strategies and interpretation through experientially real context problems. The heart of this reinvention process involves mathematizing activities in problem situations that are experientially real to students. It is important to note that reinvention in a collective, as well as individual activity, in which whole-class discussions centering on conjecture, explanation, and justification play a crucial role. The overall purpose of this study is to examine the developmental research efforts to adpat the instructional design perspective of RME to the teaching and learning of differential equation is collegiate mathematics education. Informed by the instructional design theory of RME and capitalizes on the potential technology to incorporate qualitative and numerical approaches, this study offers as approach for conceptualizing the learning and teaching of differential equation that is different from the traditional approach. Data were collected through participatory observation in a differential equations course at a university through a fall semester in 2003. All class sessions were video recorded and transcribed for later detailed analysis. Interviews were conducted systematically to probe the students' conceptual understanding and problem solving of differential equations. All the interviews were video recorded. In addition, students' works such as exams, journals and worksheets were collected for supplement the analysis of data from class observation and interview. Informed by the instructional design theory of RME, theoretical perspectives on emerging analyses of student thinking, this paper outlines an approach for conceptualizing inquiry-oriented differential equations that is different from traditional approaches and current reform efforts. One way of the wars in which thus approach complements current reform-oriented approaches 10 differential equations centers on a particular principled approach to mathematization. The findings of this research will provide insights into the role of the mathematics teacher, instructional materials, and technology, which will provide mathematics educators and instructional designers with new ways of thinking about their educational practice and new ways to foster students' mathematical justifications and ultimately improvement of educational practice in mathematics classes.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제8권2호
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• pp.137-143
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• 2001

In this paper, we study the existence, uniqueness and norm estimate of solutions for the nonlinear delay integro-differential system.

• Nonlinear Functional Analysis and Applications
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• 제27권1호
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• pp.189-201
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• 2022

The aim of the current work is to investigate the numerical study of a nonlinear Volterra-Fredholm integro-differential equation with initial conditions. Our approximation techniques modified adomian decomposition method (MADM) and variational iteration method (VIM) are based on the product integration methods in conjunction with iterative schemes. The convergence of the proposed methods have been proved. We conclude the paper with numerical examples to illustrate the effectiveness of our methods.

• 실천공학교육논문지
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• 제7권1호
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• pp.1-9
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• 2015

본 연구에서는 미국에서 시발된 STEM(Science, Technology, Engineering, Mathematics)교육과 이를 벤치마킹하여 만든 한국의 STEAM(Science, Technology, Engineering, Arts, Mathematics)교육의 실태를 조사하여 대학용 STEM교육을 주관적으로 정의하고 이를 달성하기 위한 방안을 제안한다. 현재의 STEM교육은 초등학교에서 고등학교를 대상으로 하고 있지만, 조만간 그 여파가 대학에까지 미칠 것이 예측되므로 STEM교육을 기반으로 하는 수학교육 방안을 제안한다. 대학 4학년 때에 수행하는 졸업설계작품을 통한 기술(T)과 공학(E)에 대한 탐구활동과 hands-on 활동을 2학년 때에 배우는 수학교과목 중 하나인 미분방정식의 학습도구로 취급하는 새로운 교육 및 학습방안을 제안한다. STEM교육의 중요성을 교훈하기 위해서 실제 사회의 문제가 즉시 전달되어야 한다는 것을 강조한 통로가 설치된 뫼비우스 띠를 STEM교육의 심벌로 도입 및 설정한다.

• Journal of applied mathematics & informatics
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• 제12권1_2호
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• pp.429-436
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• 2003

We study the asymptotic equivalence between the nonlinear differential system $\chi$'(t) = f(t, $\chi$(t)) and its variational system ν'(t) = f$\chi$(t, 0)ν(t) by using the comparison principle and notion of strong stability.