• Journal of Elementary Mathematics Education in Korea
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• v.22 no.1
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• pp.47-67
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• 2018

The purpose of this study is to develop an elementary mathematics education program for social justice. In the two years of research including literature review and development of a teaching model, forty 6th grade elementary students at two schools in Seoul participated as participants for verification of the effectiveness of the program. Parents' SES in each group is in the high and average levels, respectively. The students participated in 12 mathematical classes for social justice, and the effects of mathematics education for social justice were tested by using mixed method. As a result of the study, students' perceptions of mathematics and tendency toward mathematics were changed positively. The results of this study showed that students' perceptions on mathematics and tendency toward mathematics were influenced by individual ability, inclination, and condition rather than parents' socio-economic environments. It is necessary to develop high qualified and diverse mathematical materials for social justice in order to cultivate creative convergence ability that flexibly copes with future society. It is also necessary for teachers to look at mathematics education in a broader and deeper perspective such as seeing mathematics with humanistic imagination.

• Journal of Educational Research in Mathematics
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• v.19 no.3
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• pp.355-369
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• 2009

Though there is no agreement on the definition of analogical reasoning, there is no doubt that analogical reasoning is the means of mathematical knowledge construction. Mathematicians generally have a tendency or desire to find similarities between new and existing Ideas, and new and existing representations. They construct appropriate links to new ideas or new representations by focusing on common relational structures of mathematical situations rather than on superficial details. This focus is analogical reasoning at work in the construction of mathematical knowledge. Since analogical reasoning is the means by which mathematicians do mathematics and is close]y linked to measures of intelligence, it should be considered important in mathematics education. This study investigates how mathematicians used analogical reasoning, what role did it flay when they construct new concept or problem solving strategy.

• Research in Mathematical Education
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• v.26 no.2
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• pp.63-82
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• 2023

In the context of Korean educational research, the number of qualitative research studies has gradually increased since 2000. It has become one of the most important research methods today. The field of math education is no exception to this trend, and qualitative approaches are now becoming one of the main research methods. This increase in qualitative research has contributed to the provision of detailed information about educational practice, but at the same time, the overall level of credibility in the results of qualitative research seems to be lower than that of quantitative research. This study started with the problem consciousness that the number of qualitative studies is increasing in the field of mathematical education, but there is a lack of discussion on the methodology of applying qualitative research methods. In this study, among the papers published in the journal related to mathematical education, papers using a qualitative approach are analyzed focusing on cross-case analysis. Based on the analysis results, the tendency to use qualitative approaches is diagnosed, ways of improving the validity and trustworthiness of qualitative research results in the field of mathematical education are examined, and implications and suggestions are presented.

• Education of Primary School Mathematics
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• v.18 no.2
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• pp.155-173
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• 2015

The purpose of this study is to offer the implication for elementary school mathematics teaching by analyzing teachers' reflection on the cognitive demands of mathematical tasks they give in class. During the setup phase and the implementation phase in math class, the researchers analyzed the change of cognitive demands on mathematical tasks and the factors which had influence on such changes. After teachers' reflection on teaching, the researchers analyzed the change of cognitive demands on mathematical tasks and the factors which had influence on such changes in math classes. As a result, before teachers' reflection on the cognitive demands of mathematical tasks, the higher-level demands of mathematical tasks had a tendency to decline. However, after teachers' reflection on the cognitive demands of mathematical tasks, higher-level demands of mathematical tasks were maintained.

• Herbal Formula Science
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• v.22 no.2
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• pp.87-103
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• 2014

Objectives : Herbal formulas are complicated to analyze and difficult to compose because of its mixed, complex features. So we discussed about how to compose herbal formulas effective and efficient by analyzing various effectiveness of each herbal extracts. Methods : To evaluate the effectiveness of herbal formula, anti-oxidative and anti-inflammatory effectiveness were mathematically analyzed. DPPH, superoxide anions, Nitric Oxide scavenging activity was measured to evaluate the effectiveness of 7 herbal extracts. And next, cytotoxic activity of extracts on RAW 264.7 cells were measured using MTS assay. To asses anti-inflammatory effect, nitric oxide and $PGE_2$ production were measured. Based on these anti-oxidative and anti-inflammatory experiment result, mathematical analyzation were carried out with constOptm function, and determined efficacy-maximizing ratio. Results : This mathematical analysis based formula showed significantly outstanding effectiveness than other formulae. And estimated tendency of anti-inflammatory effectiveness was matched with real effectiveness. Conclusions : So, mathematical analysis can be available to evaluate and estimate the effectiveness of herbal formulae.

• The Mathematical Education
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• v.57 no.4
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• pp.453-475
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• 2018

This study examines how elementary students understand fractions with operations conceptually and how they perform procedures in the division of fractions. We attempted to look into students' understanding about fractions with divisions in regard to mathematical proficiency suggested by National Research Council (2001). Mathematical proficiency is identified as an intertwined and interconnected composition of 5 strands- conceptual understanding, procedural fluency, strategic competence, adaptive reasoning, and productive disposition. We developed an instrument to identify students' understanding of fractions with multiplication and division and conducted the survey in which 149 6th-graders participated. The findings from the data analysis suggested that overall, the 6th-graders seemed not to understand fractions conceptually; in particular, their understanding is limited to a particular model of part-whole fraction. The students showed a tendency to use memorized procedure-invert and multiply in a given problem without connecting the procedure to the concept of the division of fractions. The findings also proposed that on a given problem-solving task that suggested a pathway in order for the students to apply or follow the procedures in a new situation, they performed the computation very fluently when dividing two fractions by multiplying by a reciprocal. In doing so, however, they appeared to unable to connect the procedures with the concepts of fractions with division.

• Journal of the Korean Society of Safety
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• v.7 no.2
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• pp.5-13
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• 1992

If zero-accident movement is to be successful, the objective goal period should be surely obtainable, and much more in our country where frequency rate of injury are remarkably fluc-tuating. However In our country, as far as we know, no method to establish a reasonable zero-accident goal period is guaranteed. In thls paper, a new establishing-method of reasonable goal period for individual industry with considering recent accident trend is presented. A mathematical model for industrial accidents generation was analyzed, and a stochastic process model for the accident generation inteual was formulated. This model could tell the accident generation rate in future by understanding the accident tendency through the time-series analysis and search for the distribution of numbers of accidents and accident interval. On the basis of this, the forecasting method of goal achievement probability by the size and the establishment method of reasonable goal period were developed.

• Journal of Educational Research in Mathematics
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• v.19 no.1
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• pp.163-183
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• 2009

The purpose of this study was to provide useful information for teachers by analyzing mathematical communication emphasized through 'exploratory activity' and 'story corner' in elementary textbooks based on the revised curriculum. Two classrooms from the first grade and second grade respectively were observed and videotaped. Mathematical communication of each classroom was analyzed in terms of questioning, explaining, and the sources of mathematical ideas. The results showed that only one classroom focused on students' thinking processes and explored their ideas, whereas the other classrooms focused mainly on finding answer. Particularly, this tendency often appeared when implementing 'story corner' than 'exploratory activity'. The reason for this was inferred that teachers were not familiar with teaching mathematics in stories and that teachers' manual did not include concrete questions and students' expected responses. This paper included implications on how to promote mathematical communication specifically in lower grades in elementary school.

• Journal of Elementary Mathematics Education in Korea
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• v.23 no.1
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• pp.93-117
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• 2019

Considering precedent studies in which research subjects are mainly confined to secondary school students or higher grade students of elementary schools, we can notice that there has been implicit agreement that instruction of mathematical modeling is quite difficult to lower grade students of elementary schools. Compared to this tendency, this study aims to examine the possibility of instruction of mathematical modeling for all of school ages, and more specifically, the applicability of mathematical modeling tasks to lower graders. To do this, we developed a mathematical modeling task proper to cognitive characteristics of lower graders and applied this task to the second graders. Based on the research results by lesson observation and the teacher's reflection, some didactical suggestions were induced for teaching the lower grade elementary school students mathematical modeling.

• Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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• 2002.10b
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• pp.45-46
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• 2002

Based on the fact that the lubricant molecular is with a chain structure, the physical and mathematical models for the thin film lubrication are set up after the analysis of relationship of the chain length and the film thickness is carried out. The basic equations of fluid mechanics with the rotation terms are used to derive the equivalent Reynolds equation. The results show that the load carrying capacity has a significant increase while the length effect is considered. Finally, the calculated results are compared with the experimental results and they have the same tendency.