• 한국수학교육학회지시리즈C:초등수학교육
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• 제20권2호
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• pp.177-192
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• 2017

본 연구는 수학교육연구에서 적용되고 있는 혼합연구법이 질적연구와 양적연구를 어떻게 결합하여 활용하고 있는가를 탐색해 보고자 한다. 구체적으로 수학교육분야에서 질적연구와 양적연구의 혼합이 방법론적으로 어떠한 시사점과 과제를 줄 수 있는가를 탐구하고자 한다. 이와 같은 연구 목적을 달성하기 위하여, 본 연구에서는 한국초등수학교육학회에서 발간하는 '초등수학교육학회지'에 2015년 게재된 전체 32편의 논문 중, 혼합연구법을 적용한 4편의 논문을 분석 대상으로 선정하였다. 기존의 선행연구들에서는 혼합연구에 대한 분석 결과를, 일반적인 양적연구의 결과와 유사하게 비교 항목별로 수치화시키며 양적인 정보를 중심으로 간략하게 설명하는 경향이 있어 왔다. 이와는 대조적으로, 본 연구에서는 질적 연구자의 관점에서 질적연구와 양적연구의 장점을 최적화할 수 있는 방안을 상세하게 논의하는 형식으로 분석 결과와 시사점을 제시하고 있다.

• 대한가정학회지
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• 제44권9호
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• pp.1-8
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• 2006

The purposes of the present article are to suggest pragmatism as offering a philosophical paradigm for mixed methods research, to explain the fundamental principles of mixed methodology, and to present examples of research for understanding how to apply it to family studies. Mixed methods research is the class of research where the researcher mixes or combines quantitative and qualitative techniques, methods, approaches, concepts or language into a single study. Mixed methodology has its roots in pragmatism, which is a new philosophical paradigm to criticize the traditional dualism and to endorse eclecticism and pluralism. The present article argues that mixed methods research has the potential to answer a broader and more complete range of research questions, and to provide strong evidence for a conclusion through convergence and corroboration of the qualitative and the quantitative methods.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제7권2호
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• pp.95-111
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• 2003

BDM mixed methods are obtained for a good approximation of velocity for flow equations. In this paper, we study an implementation issue of solving the algebraic system arising from the BDM mixed finite elements. First we discuss post-processing based on the use of Lagrange multipliers to enforce interelement continuity. Furthermore, we establish an equivalence between given mixed methods and projection finite element methods developed by Chen. Finally, we present the implementation of the first order BDM on rectangular grids and show it is as simple as solving the pressure equation.

• 한국멀티미디어학회논문지
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• 제24권1호
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• pp.155-165
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• 2021

With the continuous development and progress of science and technology, the field of mixed reality applications has involved scientific research, medicine, entertainment, education, information dissemination, and people's daily lives; This paper will focus on the application of mixed reality in the field of education and teaching, relying on the characteristics of mixed reality technology. This article will use the combination of mixed reality and smart glasses to fully consider the characteristics of photography darkroom teaching, design and produce a mixed reality photography darkroom teaching software, and explore the feasibility of the application of mixed reality in teaching. This paper will use literature research methods, practical research methods, and survey methods as the main methods of research topics to determine the importance, feasibility, and necessity of the relevant theories studied in this paper. The application of mixed reality technology in photography darkroom teaching can not only solve many problems in the existing darkroom teaching methods, but also develop and expand students' Independent learning ability. It is concluded from this that mixed reality teaching software has the feasibility of sustainable development, which brings particular application value to the development and research of other education and art discipline software.

• Communications for Statistical Applications and Methods
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• 제10권1호
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• pp.125-134
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• 2003

Standard estimation methods for linear mixed models are sensitive to influential observations. However, tools and concepts for linear mixed model diagnostics are rudimentary until now and research is heavily demanded in linear mixed models. In this paper, we consider two diagnostics to evaluate the effects of individual observations in the estimation of fixed effects for linear mixed models. Those are Cook's distance and COVRATIO. Results of our limited simulation study suggest that the Cook's distance is not good statistical quantity in linear mixed models. Also calibration point for COVRATIO seems to be quite conservative.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제28권3호
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• pp.303-320
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• 2014

본 연구는 2003년 1월부터 2013년 9월까지 국내 등재(후보) 학술지에 발표된 문헌 연구를 제외한 총 709편의 논문을 대상으로 연구 동향과 연구방법의 동향을 분석하고, 그 중에서 혼합 연구방법을 사용한 논문 중에서 연구단계별 혼합유형을 좀 더 면밀히 조사하였다. 그 결과, 연구방법의 동향은 질적 연구와 양적 연구가 대부분이고 혼합 연구가 10%미만으로 적었다. 또한 혼합 연구방법을 사용한 논문들을 조사한 결과, 혼합유형은 양적 연구방법과 질적 연구방법이 동등하게 사용된 논문이 대부분이었고 혼합 연구에 사용된 양적 연구방법의 동향은 기술통계가 가장 많았으며 질적 연구방법의 동향은 이론 기반 개념적 틀의 사용이 매우 저조했다. 이러한 연구 결과를 통해 본 논문은 수학교육논문에 연구방법이 어떻게 사용되었으며 앞으로 수학교육 연구에서의 연구방법의 다양성에 대한 시사점을 제공하고자 한다.

• 대한수학회보
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• 제50권1호
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• pp.321-341
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• 2013

In this paper, we discuss the a posteriori error estimates of the semidiscrete mixed finite element methods for quadratic optimal control problems governed by linear hyperbolic equations. The state and the co-state are discretized by the order $k$ Raviart-Thomas mixed finite element spaces and the control is approximated by piecewise polynomials of order $k(k{\geq}0)$. Using mixed elliptic reconstruction method, a posterior $L^{\infty}(L^2)$-error estimates for both the state and the control approximation are derived. Such estimates, which are apparently not available in the literature, are an important step towards developing reliable adaptive mixed finite element approximation schemes for the control problem.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제6권1호
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• pp.1-15
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• 2002

Advection-dominated transport problems possess difficulties in the design of numerical methods for solving them. Because of the hyperbolic nature of advective transport, many characteristic numerical methods have been developed such as the classical characteristic method, the Eulerian-Lagrangian method, the transport diffusion method, the modified method of characteristics, the operator splitting method, the Eulerian-Lagrangian localized adjoint method, the characteristic mixed method, and the Eulerian-Lagrangian mixed discontinuous method. In this paper relationships among these characteristic methods are examined. In particular, we show that these sometimes diverse methods can be given a unified formulation. This paper focuses on characteristic finite element methods. Similar examination can be presented for characteristic finite difference methods.

• 대한수학회보
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• 제50권4호
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• pp.1127-1144
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• 2013

In this paper, we consider the error estimates of the numerical solutions of a class of fourth order linear-quadratic elliptic optimal control problems by using mixed finite element methods. The state and co-state are approximated by the order $k$ Raviart-Thomas mixed finite element spaces and the control variable is approximated by piecewise polynomials of order $k(k{\geq}1)$. $L^2$ and $L^{\infty}$-error estimates are derived for both the control and the state approximations. These results are seemed to be new in the literature of the mixed finite element methods for fourth order elliptic control problems.

• 호남수학학술지
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• 제42권1호
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• pp.17-35
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• 2020

In this paper we introduce and consider a new class of variational inequalities with four operators. This class is called the extended general mixed quasi variational inequality. We show that the extended general mixed quasi variational inequality is equivalent to the fixed point problem. We use this alternative equivalent formulation to discuss the existence of a solution of extended general mixed quasi variational inequality and also develop several iterative methods for solving extended general mixed quasi variational inequality and its variant forms. We consider the convergence analysis of the proposed iterative methods under appropriate conditions. We also introduce a new class of resolvent equation, which is called the extended general implicit resolvent equation and establish an equivalent relation between the extended general implicit resolvent equation and the extended general mixed quasi variational inequality. Some special cases are also discussed.