• Title/Summary/Keyword: Mixed methods study

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Analysis on Mixed Methods Research in Mathematics Education: A Qualitative Approach (초등수학교육에 적용된 혼합연구법의 특성 및 시사점에 대한 연구)

  • Na, Janghaum;Kim, Jinho
    • Education of Primary School Mathematics
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    • v.20 no.2
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    • pp.177-192
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    • 2017
  • In theory, mixed methods that incorporate both quantitative and qualitative approaches can maximize strengths of each method while minimize the short comings of each. Mixed methods research is a feature of educational research nowadays, and the number of studies applied mixed methods research has been gradually increasing. This study investigates how mixed methods research was applied in the field of mathematic education, especially focusing on how qualitative and quantitative methods are combined to best address their research questions. With this in mind, this study carefully selects and analyzes 4 research articles that used mixed methods and were published by Journal of Elementary Mathematics Education in Korea in 2015. This study provides detailed result of qualitative analysis on mixed methods research while other a few previous analysis on mixed methods research were tend to focusing on quantitative analysis, producing numeric quantitative information. The result of this study provides practical and in-depth analysis on how to improve validity and possibility of mixed methods research, addressing alternative ways to combine two different research methods and key elements to take into account.

AN EFFICIENT IMPLEMENTATION OF BDM MIXED METHODS FOR SECOND ORDER ELLIPTIC PROBLEMS

  • Kim, J.H.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.7 no.2
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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.

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An Inquiry about Mixed Methodology for Family Studies (가족연구를 위한 혼합방법론에 대한 고찰)

  • Yang, Sung-Eun
    • Journal of the Korean Home Economics Association
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    • v.44 no.9
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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.

A Comparison of Influence Diagnostics in Linear Mixed Models

  • Lee, Jang-Taek
    • Communications for Statistical Applications and Methods
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    • v.10 no.1
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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.

Qualitative Analysis on Mixed Research in the field of Mathematics for Elementary Students (초등 수학교육 관련 혼합 연구에서 적용된 질적 연구 방법에 대한 분석)

  • Na, Jang Ham;Kim, Jinho
    • Education of Primary School Mathematics
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    • v.19 no.1
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    • pp.47-60
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    • 2016
  • The purpose of this study is to analyze how the qualitative research is applied to mixed method research and thereby to gain an insight to suggest reasonable ways of employing qualitative method in order to accomplish intended goal of research, especially in the field of mathematics education. For that purpose, this study carefully selects and analyzes 5 article that used mixed method and were published by Education of Primary School Mathematics Journal in 2012. Unlike those a few previous studied on mixed method that focused on producing general trend by simply showing quantitative information on what the frequence of used research topic, content, methods combination, quantitative methods, and qualitative methods, this study provides detailed result of qualitative analysis on mixed studies. In sum, this study concludes with practical and in-depth suggestions on how to improve validity of mixed research and qualitative research in the field of mathematic of education.

HIERARCHICAL ERROR ESTIMATORS FOR LOWEST-ORDER MIXED FINITE ELEMENT METHODS

  • Kim, Kwang-Yeon
    • Korean Journal of Mathematics
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    • v.22 no.3
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    • pp.429-441
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    • 2014
  • In this work we study two a posteriori error estimators of hierarchical type for lowest-order mixed finite element methods. One estimator is computed by solving a global defect problem based on the splitting of the lowest-order Brezzi-Douglas-Marini space, and the other estimator is locally computable by applying the standard localization to the first estimator. We establish the reliability and efficiency of both estimators by comparing them with the standard residual estimator. In addition, it is shown that the error estimator based on the global defect problem is asymptotically exact under suitable conditions.

Study on the Beating Properties of CMC Pre-treated and Mixed Cotton Linter Pulp (제지용 면 펄프의 CMC 전처리 및 혼합 고해특성 연구)

  • Shin, Hyeon-Sik;Lee, Jin-Ho;Kim, Duk-Ki;Park, Jong-Moon
    • Journal of Korea Technical Association of The Pulp and Paper Industry
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    • v.46 no.4
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    • pp.11-20
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    • 2014
  • The objective of this study was to investigate the beating properties of two types of cotton pulps such as "cotton lint mixed pulp" and "cotton linter pulp". In order to improve refining characteristics, the effects of carboxymethyl-cellulose (CMC) pre-treatment, mixing ratio changes of cotton lint mixed pulp and cotton linter pulp, and refining load changes were analyzed. In mill application, it was possible to improve the refining characteristics and maintained the strength properties of the paper by applying increasing ratio of cotton linter pulp mixing and controlling the refining methods.

A Comparison Study of Multivariate Binary and Continuous Outcomes

  • Pak, Dae-Woo;Cho, Hyung-Jun
    • The Korean Journal of Applied Statistics
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    • v.25 no.4
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    • pp.605-612
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    • 2012
  • Multivariate data are often generated with multiple outcomes in various fields. Multiple outcomes could be mixed as continuous and discrete. Because of their complexity, the data are often dealt with by separately applying regression analysis to each outcome even though they are associated the each other. This univariate approach results in the low efficiency of estimates for parameters. We study the efficiency gains of the multivariate approaches relative to the univariate approach with the mixed data that include continuous and binary outcomes. All approaches yield consistent estimates for parameters with complete data. By jointly estimating parameters using multivariate methods, it is generally possible to obtain more accurate estimates for parameters than by a univariate approach. The association between continuous and binary outcomes creates a gap in efficiency between multivariate and univariate approaches. We provide a guidance to analyze the mixed data.

A Mixed Methods Study of the Successful Aging of Older Adults in Korea

  • Kim, Eun-Ha;Kim, Kye-Ha
    • Journal of Integrative Natural Science
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    • v.13 no.2
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    • pp.47-57
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    • 2020
  • The purpose of this study was to understand experiences of successful aging of community-dwelling elderly living in the Korean community using mixed methods. This study is a mixed methods research using convergent parallel design. 483 elderly people living in the 2 cities were selected as subjects to collect quantitative data. For qualitative data collection, 6 elderly people participated. The level of successful aging for elderly people living at home scored an average of 4.30 ± .59 out of 5 points (4.46 ± .64 for self-efficacy, 4.31 ± .65 for good self-control, 4.29 ± .70 for satisfaction with children's success, and 4.26 ± .61 for partnership with spouses). The main themes of successful aging derived by interview were as follows: 1) fulfill responsibilities of raising children as parents, 2) establish a stable life to overcome difficulties, 3) accept the body being different from the past, and 4) live in harmony with people around them. Based on these results, it is necessary to provide useful health care services that can be used in the local community and to provide service utilization information through various routes in order to achieve a successful aging.

Sense of Community and Community Interaction of Mixed-use Residential Buildings′ Residents : Comparisons between Groups of Mixed-use Residential Buildings′ Residents and their Expected Residents (초고층 주상복합 건물 거주자의 지역공동체의식과 근린활동 - 거주자와 입주예정자의 비교를 중심으로 -)

  • 이경희;채혜원
    • Journal of Families and Better Life
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    • v.22 no.3
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    • pp.1-9
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    • 2004
  • The purposes of this study were (a) to compare the level of sense of community and community activity of the mixed-use residential buildings' residents with the expected residents for the mixed-use residential building, (b) and to investigate the degree of their needs of social interaction. For the survey the questionnaire from 176 residents of mixes-use residential building in Seoul, and 67 expected residents in Bundang Newtown are used. The analytical methods adopted in this study were frequency, percentage, chi-square test and t-test. It was found that the level of sense of community and the community activities of the mixed-use residential building' residents were higher than those of the expected residents. Their residents reported higher degree of participation on community activities than the expected residents. It was also found that the common space in their residential area promoted the residents' sense of community and community activity.