• Journal of the Korean School Mathematics Society
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• v.6 no.2
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• pp.87-99
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• 2003

As the development of computer science discrete mathematics has been developed accordingly. Discrete mathematics is one of the vital element for the development of the computer and IT technologies since it is the theoretical basis for these field of technologies. Currently, according the Seventh Curriculum Standards in Mathematics, high school students may participate in the class of discrete mathematics as one of their optional curriculum. However, discrete mathematics is a new to the most students in high school. Therefore, the teaching methods for the class of discrete mathematics must be carefully designed so that students acknowledge the importance of this new subject. For this purpose, we first show that why the algorithm is needed and then analyze the problem involved in the method of the traditional matrix multiplications. Finally, we suggest two matrix multiplication algorithms which are more efficient than the traditional method.

• Proceedings of the Korean Society for Rock Mechanics Conference
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• 1999.03a
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• pp.33-40
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• 1999

암석 및 암반을 대상으로 AE 법에 의해 파괴원 위치를 결정하는 경우 복잡한 수학적 알고리즘을 필요로 하며, 다수의 연구자에 의해 수많은 방법들이 개발되어 왔으나 각 해법의 특성에 따라 부분적인 오차를 보이는 것으로 보고되어 있다. 이와 같이 재래식 계산법에 의한 파괴원 위치의 결정은 오차를 감소시키기 위해 다양한 알고리즘이 적용되어야 한다. 이를 위해 도달시간차 및 재료 내부의 속도장을 평가하는 기술이 요구된다. 이것은 암석의 표면에서 발진기와 수신기 사이의 변화로부터 추적가능하며 복잡한 수학적인 알고리즘을 필요로 한다. (중략)

• Communications of Mathematical Education
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• v.13 no.2
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• pp.535-547
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• 2002

본 논문은 교육현장에서 자바(Java)를 이용한 수치계산 애플릿(Applet)을 개발할 경우 수식을 인식하여 그 결과를 실행하고 보여주는 심볼릭 연산을 구현하기 위한 알고리즘 개발과 다양한 입력식을 처리하기 위한 효율적인 자료구조를 제안한다. 구현된 패키지내의 클래스는 변수와 상수, 다양한 연산자를 처리하기에 적합하며 분석된 정보를 통해 사칙연산의 처리, 연산자 우선순위의 처리, 심볼릭 연산, 다항식, 방정식, 함수의 그래프 작성, 간단한 미적분 처리를 하는 알고리즘을 제안한다.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.3
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• pp.371-391
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• 2016

Long division was one of the major issues in math war II started from 1990's in US. In this paper, we investigated this concretely and examined present teaching condition of long division in Korea. Firstly, Long division is not only a mechanical way to get the answer but also a realization of core conception in elementary mathematics. Futhermore it is a connecting link between elementary and middle mathematics education. Secondly, it is needed to use the term 'long division' to provide the concrete teaching guidelines. Thirdly, a minor algorithm, like an 'partial quotient method', is necessary to introduce in order to help understanding long division.

• School Mathematics
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• v.14 no.1
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• pp.135-150
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• 2012

This paper analyzes the activities for (fraction) ${\times}$(fraction) in Korean elementary textbooks focusing on the connection between visual models and the algorithm. New Korean textbook attempts a new approach to use length model (as well as rectangular area model) for developing the standard algorithm for the multiplication of fractions, $\frac{a}{b}{\times}\frac{d}{c}=\frac{a{\times}d}{b{\times}c}$. However, activities with visual models in the textbook are not well connected to the algorithm. To bridge the gap between activities with models and the algorithm, distributive strategy should be emphasized. A wealth of experience of solving problems of fraction multiplication using the distributive strategy with visual models can serve as a strong basis for developing the algorithm for the multiplication of fractions.

• Proceedings of the Korean Society of Computer Information Conference
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• 2013.01a
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• pp.309-312
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• 2013

현대사회는 지식정보의 사회로서 이러한 사회에서는 지식을 단순히 암기하는 것보다 주어진 지식과 정보를 이용하여 새로운 지적 가치를 창출할 수 있는 자율적이고 창의적인 인재가 필요하다. 창의성 신장의 측면에서 볼 때, 수학은 문제 해결의 다양성, 사고의 유연성을 길러주므로 매우 중요한 과목이다. 하지만 많은 학생들이 수학의 가치와 필요성을 인식하지 못하고 흥미를 잃어가고 있다. 이에 자발적인 학습을 유도할 수 있는 PBL학습을 도입하고자 한다. 그리고 컴퓨터 프로그래밍은 수학 학습에서 학습자의 알고리즘적 사고력을 향상시킨다. 따라서 본 연구자는 수학 흥미도를 향상시키기 위해 스크래치를 활용한 PBL기반의 수학 학습 컨텐츠 개발을 제안한다.

• Proceedings of the KIEE Conference
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• 2005.11b
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• pp.295-297
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• 2005

본 논문은 Part 1 으로 배전계통의 분산형 조류계산을 위한 기본적인 수학적 모델을 제안한다. 송전계통과 비슷하게 배전계통의 조류계산은 배전계통의 실시간 모니터링과 제어를 위한 가장 유용한 도구이다. 배전계통은 지역적인 특성으로 인하여 그 구조가 변전소를 중심으로 여러 개의 주 피이드로 나누어지게 되고 이러한 변전소가 수많이 산재되어 있다. 이런 관점에서 볼때 배전계통에 대한 조류계산은 불산 조류계산(Distributed Computation of Load Flow) 알고리즘을 필요로 한다. 특히, 분산전원 출현으로 인한 이러한 필요성은 점점 증가하고 있다. 배전조류계산은 분산전원이 배전계통에 추가됨에 따라 더욱 부담이 되었다. 본 논문에서는 배전계통을 위한 분산형 조류계산 알고리즘의 구성에 필요한 기본적인 수학적 모델을 제안하고자 한다.

• School Mathematics
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• v.18 no.2
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• pp.257-275
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• 2016

The purpose of this study was to investigate the impact of multiple representations on students' understanding of fractions, decimals, and percent. The instructional approach integrating multiple representations was compared to traditional algorithmic instruction, a form of direct instruction. To examine and compare the impact of multiple representations instruction with traditional algorithmic instruction, pre and post tests consisting of five similar items were administered with 87 middle school students. Students' scores in these two tests and their problem solving processes were analyzed quantitatively and qualitatively. The quantitative results indicated that students taught by traditional algorithmic instruction showed higher scores on the post-test than students in the multiple representations group. Furthermore, findings suggest that instruction using multiple representations does not guarantee a positive impact on students' understanding of mathematical concepts. Qualitative results suggest that the limited use of multiple representations during a class may have hindered students from applying their use in novel problem situations. Therefore, when using multiple representations, teachers should employ more diverse examples and practice with multiple representations to help students to use them without error.

• Education of Primary School Mathematics
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• v.16 no.2
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• pp.93-106
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• 2013

A large part of students' difficulties with fractional division algorithms in the current algorithm textbooks, seem to be due to self-induction methods. Through concrete analysis of surveys and interviews, we confirmed the educational value of fractional algorithms used to elicit alternative ways of context of determination of a unit rate. In addition, we suggested alternative methods based on the results of the teaching methods and curriculum configuration.

• Education of Primary School Mathematics
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• v.22 no.2
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• pp.113-127
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• 2019

The purpose of this study is to justify the fraction division algorithm in elementary mathematics by applying the definition of natural number division to fraction division. First, we studied the contents which need to be taken into consideration in teaching fraction division in elementary mathematics and suggested the criteria. Based on this research, we examined whether the previous methods which are used to derive the standard algorithm are appropriate for the course of introducing the fraction division. Next, we defined division in fraction and suggested the unit-circle partition model and the square partition model which can visualize the definition. Finally, we confirmed that the standard algorithm of fraction division in both partition and measurement is naturally derived through these models.