• The Mathematical Education
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• v.33 no.2
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• pp.167-175
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• 1994

결측치를 가진 회귀모형의 모수 추정법을 이용하여 목표지향형 평가 모델에서 기초고사(X)와 신고사(I)(Y), 신고사(II)(Z)등 두 개 이상의 고사지로 이루어진 고사집에서 기초고사에는 결측치가 없고 신고사(I), 신고사(II)등에는 결측치가 있는 경우 모수의 최우추정량 계산법을 논하고 E.M. 알고리즘과 평가치는 희귀방적식화에 의하여 우리나라 중등학교 학생의 수학학습능력과 수학적 사고력의 크기를 변별하며 학생들의 진능력이 반영된 평가모델과 최종 성적을 평가 할 수 있는 계산법을 제시하였다.

• Communications of Mathematical Education
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• v.24 no.4
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• pp.877-889
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• 2010

Mathematical modelling is a useful method for reinterpreting the real world and for solving real problems. In this paper, we introduced a theory on mathematical modelling. Further, we developed a mathematical model of the H1N1 influenza with Excel. Then, we analyzed the model which tells us what role it can play in an appropriate prediction of the future and in the decision of accompanied policies.

• Journal for History of Mathematics
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• v.24 no.2
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• pp.47-59
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• 2011

Various mathematical models have been widely studied recently in both fields of mathematics and ecology since they help us understand the dynamical process of population changes in biological species living in a certain habitat and give useful predictions. The world population model proposed by Malthus, a British economist, in his work 'An Essay on the Principle of Population' published in the period of 1789~1826 is one of the early mathematical models on population changes. Malthus' models and the carrying capacity models of Verhulst in 1845 were based on exponential type functions. The independent research field of mathematical ecology has been started from Lotka's works in 1920's. Since then various different mathematical models has been proposed and examined. This article mainly deals with single species population change models expressed in terms of ordinary differential equations.

• Journal of Educational Research in Mathematics
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• v.14 no.3
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• pp.221-237
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• 2004

This research analyzed mathematical discourse of the students in an RME-based differential equations course at a university in order to investigate the social transformation of the students' conceptual model of differential equations. The analysis focused on the change in the students' use of conceptual metaphor for differential equations and pedagogical factors promoting the change. The analysis shows that discrete and quantitative conceptual model was prevalent in the beginning of the semester However, continuous and qualitative conceptual model emerged through the negotiation of mathematical meaning based on the inquiry of context problems. The participation in the project class has a positive impact on the extension of the students' conceptual model of differential equations and increases the fluency of the students' problem solving in differential equations. Moreover, this paper provides a discussion to identify the pedagogical factors Involved with the transformation of the students' conceptual model. The discussion highlights the sociocultural aspect of teaching and learning of mathematics and provides implications to improve teaching of mathematics in school.

• Journal of Elementary Mathematics Education in Korea
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• v.16 no.1
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• pp.39-61
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• 2012

Mathematical creativity is essential in school mathematics and mathematics curriculum and ensures the growth of mathematical ability. Therefore mathematics educators try to develop students' creativity via mathematics education for a long time. In special, 2011 revised mathematics curriculum emphasizes mathematical creativity. Yet, it may seem like a vague characterization of mathematical creativity. Furthermore, it is needed to develop the methods for developing the mathematical creativity. So, the goal of this paper is to search for teaching and learning models for developing the mathematical creativity. For this, I discuss about issues of mathematical creativity and extract the factors of mathematical creativity. The factors of mathematical creativity are divided into cognitive factors, affective factors and attitude factors that become the factors of development of mathematical creativity in the mathematical instruction. And I develop 8-teaching and learning models for development of mathematical creativity based on the characters of mathematics and the most recent theories of mathematics education. These models make it crucial for students to develop the mathematical creativity and create the new mathematics in the future.

• Proceedings of the Korean Institute of Navigation and Port Research Conference
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• 2010.10a
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• pp.128-130
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• 2010

예선과 부선으로 이루어진 예부선의 예인 운항 상태에 대한 수학모델을 개발하기 위하여, 먼저 예선에 대한 수학모델을 개발하였다. 이를 위하여 예선모형을 이용하여 4자유도의 수학모델에 대한 구속모형시험을 수행하였고, 그 결과를 이용하여 선회, 지그재그 시뮬레이션을 수행하였다. 또한 예선실선에 대한 예선시운전 실험을 통하여 선회, 지그재그 결과를 얻고, 이를 시뮬레이션 결과와 비교하여 예선의 수학모델을 검증하였다.

• Food Industry And Nutrition
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• v.10 no.1
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• pp.11-16
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• 2005

식물성 단백질의 주요 공급원이며 우리나라 전통식품 중의 하나인 두부의 유통기한을 정량적으로 예측할 수 있는 수학적 모델을 개발하고자 온도와 초기균수에 따른 두부 부패세균의 성장 실험 결과를 데이터베이스화하여 이를 바탕으로 균의 성장을 정량적으로 평가할 수 있는 수학적 모델을 개발하였다. 근의 증식 지표인 최대증식속도상수(k), 유도기(LT), 세대시간(GT)은 온도에 지배적인 영향을 받았으며, 초기균수에 따른 유의 적 인 차이 는 없었다(p<0.05). 최대증식속도상수와 온도 및 초기균수의 상관관계를 나타내는 수학적 정량평가모델인 square root model을 이 용하여 두부 부패 세균의 성장을 정량적으로 예측할 수 있는 모델$({\surd}{\kappa}=0.016861(T+6.87095))$을 개발하였으며 실험치와 예측치의 상관계수는0.969이었다. 이 예측 정량평가모델로부터 예측한 최대증식속도상수와 두부의 관능적 부패시 점을 반영 한 Gompertz 변형 모델을 이용하여 두부의 유통기한을 예측할 수 있는 모델$(Spoilage-critrion(hr)=\frac{2{\times}Ln2+Ln[(Nmax/No)-1])}{k}$을 개발하였다

• Journal of the Korean School Mathematics Society
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• v.10 no.4
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• pp.557-571
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• 2007

The purpose of this paper was to develope a model for enhancement of mathematics education using participatory mathematics. Traditionally, mathematics has been considered ready-made and students need to practice it without real applications of mathematics. The 6th grade students in the two classrooms participated in the 60 class hours and the researcher and observers investigated students' achievements and reactions. In this model, students actively apply mathematics to real-life problems and futhermore change our life, which is one of the unique elements. Thus, students can experience mathematical power while they do mathematics. Every student need to experience with this model several times in a semester so that he or she can be active a citizen to change society a better place.

• Journal of Educational Research in Mathematics
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• v.24 no.2
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• pp.227-251
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• 2014

In this study, we explored the preliminary model of multicultural mathematics teacher education to foster mathematics teachers' multicultural competencies. For the purpose, we investigated the multicultural competency of mathematics teachers with a survey questionnaire. We also interviewed mathematics teachers to analyze mathematics teachers' need of teacher education for multicultural mathematics education. In addition to the survey and the interview, we conducted a review of literatures to identify the principles, goals, contents, and methods for multicultural mathematics teacher education. In this research, we have identified 4 principles for multicultural mathematics teacher education: mathematics as culture, respecting diversity and equity, and identity. Under the principles, we presented 6 educational goals of teacher education for multicultural mathematics education. We chose the contents and the methods to promote the multicultural competency of mathematics teachers suitable for educational situation of Korean school. We integrated the principles, goals, contents and methods to design multicultural mathematics teacher education program for in-service teachers. Finally, we discussed the features and benefits of the preliminary model based on situational analysis for multicultural mathematics teacher education. We proposed that follow-up study is necessary to investigate the effect of the model for the future development of multicultural mathematics teacher education model.

• Journal for History of Mathematics
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• v.18 no.2
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• pp.75-94
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• 2005

This study is intended to develop the criterion for evaluating the creative products that mathematically gifted students produce in their education program to enhance the development of creative productive ability. 1 distinguish the mathematical creativity with the creativity in the general domain, and make the production model of the creative mathematical product grounded on the mathematicians' work through the mathematical history. The model has the following components; the mathematical knowledge, the mathematical thinking and the mathematical inquiry skill, surrounding the resultive creative product. The students products are focused on one component of the model. Thus the criterion for the creative products is grounded on the each component of the model. According to it, teachers could evaluate the students'work, which got the validity and the reliability.