• 한국수학교육학회지시리즈C:초등수학교육
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• 제15권2호
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• pp.107-134
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• 2012

수학적 모델링은 일반적으로 수학적인 방법으로 해석되고 이해되어야 하는 실제적인 문제 상황을 해결하기 위해 상황에 대한 적절한 수학적 모델을 구성하여 문제를 해결하는 일련의 과정이라고 할 수 있다. 문장제는 실제적인 측면과 형식적인 측면, 모두를 포함하고 있으므로 수학적 모델링 활동에 이상적인 도구가 될 수 있다. 이에 본 연구는 실세계의 맥락을 고려해야 하는 진정성있는 문장제를 바탕으로 한 수학적 모델링 학습이 문장제 해결 행동, 문장제 해결에서 실생활 경험을 활용하는 능력, 문장제에 대한 신념 등에 미치는 영향을 조사하였다. 연구 결과 문장제에 대한 수학적 모델링 학습은 직접번역 접근(DTA) 대신에 의미기반 접근(MBA)으로 문장제 해결 행동을 이끄는데 효과적이었으며, 문장제를 해결하는데 있어서 실생활 맥락을 고려하는 태도에 긍정적인 영향을 미쳤다. 또한 수학적 모델링 학습은 문장제에 대한 긍정적인 신념을 형성하는데 중요한 역할을 했음을 알 수 있었다. 이와 같은 연구 결과를 바탕으로 초등학교에서 문장제를 어떻게 다루어야 하는지에 대한 시사점을 살펴보았다.

• International Journal of Internet, Broadcasting and Communication
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• 제13권2호
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• pp.120-126
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• 2021

The importance of mathematics is emerging to create new values and secure competitiveness in an intelligent information society based on the Fourth Industrial Revolution. This study was conducted with the aim of improving the academic performance and increasing interest of electronics majors in mathematics subjects. In order to develop learners' mathematical capabilities in major fields that utilize mathematics that electronics majors do not prefer, we have proposed a new teaching method to promote employment in mathematics-based electronics fields. In addition, to enhance learners' self-directed learning, we developed teaching methods for efficient mathematics subjects with programming languages as tools in electronics engineering and applied them to real-world teaching sites to effectively cultivate academic performance improvement of majors. Finally, we conducted a survey and statistically analyze the effectiveness of the developed teaching methods to present effective operational measures for mathematics education, an essential tool in intelligent information technology.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제20권1호
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• pp.39-49
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• 2016

The History of Mathematics (HOM) was integrated in teaching the Cartesian Coordinate Plane (CCP) to Grade Seven learners of Moonwalk National High School using Lesson Study. After the lesson was taught, there were three valuable issues emerged: (1) HOM is a Springboard and/or a Medium of Motivation in Teaching CCP; (2) The History of CCP Opened a Wider Perspective about Its Real-life Application in the Modern World (3) Integration of History Developed a Sense of Purpose and an Appreciation of Mathematics Among Learners. Feedbacks solicited from the learners showed that they have understanding of the importance of studying Mathematics after they learned the life and contributions of Rene Descartes to Mathematics. Hence, integration of history plays a vital role in developing positive attitudes among learners towards Math.

• ETRI Journal
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• 제44권5호
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• pp.769-779
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• 2022

Spectral clustering has become a typical and efficient clustering method used in a variety of applications. The critical step of spectral clustering is the similarity measurement, which largely determines the performance of the spectral clustering method. In this paper, we propose a novel spectral clustering algorithm based on the local similarity measure of shared neighbors. This similarity measurement exploits the local density information between data points based on the weight of the shared neighbors in a directed k-nearest neighbor graph with only one parameter k, that is, the number of nearest neighbors. Numerical experiments on synthetic and real-world datasets demonstrate that our proposed algorithm outperforms other existing spectral clustering algorithms in terms of the clustering performance measured via the normalized mutual information, clustering accuracy, and F-measure. As an example, the proposed method can provide an improvement of 15.82% in the clustering performance for the Soybean dataset.

• 호남수학학술지
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• 제28권1호
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• pp.165-183
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• 2006

In this article, we try to show that concepts and principles in probability can be taught vividly through the use of the Monte Carlo method to students who have difficulty with probability in the classrooms. We include some topics to demonstrate the application of a wide variety of real world problems that can be addressed.

• 한국수자원학회:학술대회논문집
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• 한국수자원학회 2005년도 학술발표회(1)
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• pp.446-447
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• 2005

• 대한수학회보
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• 제32권2호
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• pp.287-296
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• 1995

Wets ([4],[5],[6]) considered single objective linear two-stage programming problem under uncertainty with complete recourse. Artstein, Dupacova, Romisch, Schultz and Wets studied stability of this problem id depth. But in many real world problems to make best decision, we need multiple objective functions. So we consider the following multiple objective two-stage programming problems with complete fixed recourse.

• 한국학교수학회논문집
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• 제25권2호
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• pp.125-148
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• 2022

본 연구의 목적은 International Baccalaureate Diploma Programme(이하 IBDP)의 수학 교과서와 우리나라 고등학교 수학 교과서의 함수 단원의 문제 중 모델링 문제의 수와 특징을 비교·분석하는데 있다. IBDP 교과서 3종과 우리나라 교과서 9종 선택한 후 이원분류법을 사용하여 교과서의 모든 문제를 실세계 문제와 그렇지 않은 문제로 분류한 후 실세계 문제는 수학적 모델 설정의 필요성에 따라 문장제와 모델링 문제로 분류한 다음 모델링 문제는 일반적 응용문제와 적절한 모델링 문제로 분류하였다. 12 종의 교과서 중 모델링 문제를 가장 많이 포함한 교과서는 IBDP의 '수학: 응용과 해석 HL' 교과서로 전체 문제대비 50.41%의 모델링 문제 비율을 나타내었다. 이 교과서는 2%에서 9% 사이의 모델링 문제 비율 분포를 보인 다른 교과서에 비해 학습자들에게 현저히 높은 모델링 기회를 제공하였다. 수학적 모델링의 6가지 하위 행동 요소 중 '수학적 분석' 요소와 '해석과 결과에 대한 분석' 요소는 모델링 문항 수와 매우 유사한 정도로 가장 많이 나타났으며 '수학화' 요소가 뒤를 이었다. 위의 연구 결과로 모델링 문제들에 대한 분석을 통해 각 교과서에서 등장하는 모델링 문제의 수와 비율에 대한 비교와 모델링 문제에서 어떠한 모델링 하위행동요소가 어느 정도로 나타나는지에 대한 이해에 도움을 줄 수 있을 것으로 기대한다.

• 대한수학교육학회지:수학교육학연구
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• 제12권1호
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• pp.17-27
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• 2002

To solve the addition word problems provides young children the chance to learn about and exercise in problem solving. This paper focuses on two aspects to be considered in addition word problems: the homogeneity of objects and the variety of contexts. The homogeneity of objects involved in addition word problems has to be kept in the following reasons: concept of unit, effectiveness of information, prevention of inappropriate variety, inconsistency of mathematics with real world, continuity between elementary and secondary mathematics. And for the variety of contexts, the additive structure proposed by G. Vergnaud, can be considered: composition, transformation, relation of comparison, composition of two transformations, composition of two relations, transformation of a relation. According to this structure, some examples, which contain homogeneous objects, were extracted from the elementary school mathematics textbooks.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제6권2호
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• pp.55-64
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• 2002

According to changing the society rapidly in the 21s1 century, the self-regulated learning ability is considered as an ability of which people should carry on their lives. The purpose of this study was to investigate prospective elementary school teachers in mathematics teaching method class in terms of the following areas: (1) the degree of their abilities shown the lower level factors of motivated strategies for learning such as self-efficacy, intrinsic value, anxiety, cognitive strategy use, and self-regulation (2) relations between factors of motivated strategies for loaming and performance of prospective elementary school teachers The results show that the prospective elementary school teachers showed above the mean value of the motivated strategies for learning and there are positive relations among lower level factors of motivated strategies fur learning except anxiety, positive relation between motivated strategies for learning and achievement. In order to help the prospective elementary school teacher to improve their motivated strategies fur learning in their elementary mathematics teaching method lecture, several methods such as mathematical connections to real world problem, history of mathematics and interview with mathematicians and application of feller's ARCS model to elementary mathematics education are suggested.