• Journal of the Korea Society of Computer and Information
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• v.13 no.1
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• pp.213-218
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• 2008

Through the development of computer and multimedia, many different kinds of theories about instructional method are presented. Especially, many lectures in associated with E-learning are done. In mathematics teaching, mathematica-algebra system lecturing, computer and Maple Matlab lecturing etc, are accomplished. There are many controversies among educators in problems originated by computer teaching. In this paper, we going to make a research about problems which are caused by mathematics computer-based education and present a desirable way of computer based education through studying comprehension rate and application ability among learner who uses omputer learning and other learner who uses exiting blackboard-based learning with statistical analysis after sampling test

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2000.05a
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• pp.245-248
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• 2000

In this paper we improve the performance of autonomous mobile robot by induction of reinforcement learning concept. Generally, the system used in this paper is divided into two part. Namely, one is neural-fuzzy and the other is dynamic recurrent neural networks. Neural-fuzzy determines the next action of robot. Also, the neural-fuzzy is determined to optimal action internal reinforcement from dynamic recurrent neural network. Dynamic recurrent neural network evaluated to determine action of neural-fuzzy by external reinforcement signal from environment, Besides, dynamic recurrent neural network weight determined to internal reinforcement signal value is evolved by genetic algorithms. The architecture of propose system is applied to the computer simulations on controlling autonomous mobile robot.

• Proceedings of the Korea Information Processing Society Conference
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• 2011.04a
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• pp.175-178
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• 2011

서버 클러스터는 성능을 보장하기 위하여, 요청 수에 상관없이 미리 측정된 최대 부하 시점에서 처리 가능한 서버 수를 항상 운영하고 있다. 이것은 서비스의 품질은 보장할 수 있으나, 소비 전력 효율이 낮아 상당한 전력을 낭비하는 단점이 있다. 본 논문에서는 사용자 요청 수에 기반하여 동작시킬 서버의 수를 결정하는 알고리즘을 제안한다. 제안된 방식은 기존에 학습된 정보(과거 정보)와 현재의 정보에 근거하여 Off/Sleep 상태의 서버를 On 시키거나, On 상태의 서버를 Off/Sleep시켜, 현 시점에서 필요한 최적의 서버대수를 유지하도록 했다. 15대의 서버로 클러스터를 구성하고, SPECweb을 통해 실험을 수행하였다. 실험결과, 서버 모드를 제어할 경우에 제어하지 않는 경우에 비해 약 35%의 전력이 절감되고, 본 논문에서 제안하는 학습 방법을 추가로 적용할 경우 약 5%의 전력이 추가로 절감되었다.

• The Mathematical Education
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• v.58 no.1
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• pp.79-99
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• 2019

This study is a study to collect information about 'Limitations of functions' related learning. Especially, this study was conducted on three students who can find answers by algebraic procedure in the process of extreme problem solving. Students have had the experience of converting from their algebraic procedures to graphical expressions. This shows how they reflect on their algebraic procedures. This study is a study that observes these parts. To accomplish this, twelfth were teaching experiment in three high school students. And we analyzed the contents related to the research topic of this study. Through this, students showed the difference of expressions in the method of finding limits by using algebraic interpretation methods and graphs. In addition, we examined the connectivity of the limitations of functions problem solving process of functions using algebraic procedures and graphs in the process of converting algebraic expressions to graph expressions. This study is a study of how students construct limit concepts. As in this study, it is meaningful to accumulate practical information about students' limit conceptual composition. We hope that this study will help students to study limit concept development process for students who have no limit learning experience in the future.

• Communications of Mathematical Education
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• v.25 no.2
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• pp.473-495
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• 2011

Across the secondary school, students deal with the algebraic conditions like as identity, inverse, commutative law, associative law and distributive law. The algebraic structures, group, ring and field, are determined by these algebraic conditions. But the conditioning of these algebraic structures are not mentioned at all, as well as the meaning of the algebraic structures. Thus, students is likely to be considered the algebraic conditions as productions from the number sets. In this study, we systematize didactically the meanings of algebraic conditions and algebraic structures, considering connections between the number systems and the solutions of the equation. Didactically systematizing is to construct the model for student's natural mental activity, that is, to construct the stream of experience through which students are considered mathematical concepts as productions from necessities and high probability. For this purpose, we develop the program for the gifted, which its objective is to teach the meanings of the number system and to grasp the algebraic structure conceptually that is guaranteed to solve equations. And we verify the effectiveness of this developed program using didactical experiment. Moreover, the program can be used in ordinary students by replacement the term 'algebraic structure' with the term such as identity, inverse, commutative law, associative law and distributive law, to teach their meaning.

• Proceedings of the Korea Water Resources Association Conference
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• 2023.05a
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• pp.521-521
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• 2023

지방상수도의 관 파손사고 감지 및 누수관리 방법에는 블록시스템 구축을 통한 소블록별 야간최소유량 감시방법이 가장 대표적이다. 야간최소유량은 새벽 2시와 4시 사이의 인구 활동 비율이 가장 낮은 새벽 시간대에 소블록에 공급된 유량을 의미하며, 대부분 유량 성분은 누수량일 것이라는 가정에서 출발한다. 그러나 아파트 중심의 주거 형태를 보이는 도심지의 경우, 새벽 시간대에도 다량의 물수요가 비정기적으로 발생하고 있어 관망의 이상 여부를 감시하기 위한 관리기준으로서 야간최소유량을 이용하기에는 높은 일간 변동성에 따른 한계가 있다고 할 수 있다. 즉, 야간최소유량은 관 파손사고 발생의 감시보다는 관로 연결 또는 급수전 분기 부위에서 발생하는 미량의 누수가 수개월에 걸쳐 누적되는 장기추세를 분석하여 누수탐사반의 투입 시점을 결정하기 위한 근거를 제시하기 위한 목적으로 사용되며, 아직까지 관 파손사고의 발생은 자체적인 감지보다는 민원에 의해 인지되는 경우가 많다. 최근, 스마트관망 구축사업(SWM) 등을 통해 관 파손 및 누수 감지를 위한 청음식 누수감지센서가 소블록 내 도입되고 있으나, 초기 시설투자에 큰 비용이 수반되며 주변 소음과 배터리 전원방식의 한계로 인하여 새벽 시간대에만 분석이 제한적으로 적용되는 경우가 많아 이 역시도 상시적인 관 파손사고의 감시기술이라 보기는 어렵다. 본 연구에서는 소블록 유입점에서의 유량·압력과 소블록 내에 설치된 대수용가 스마트미터, 그리고 사고감지를 위한 수압계 사이의 평상시 수리적 균형을 학습한 DNN(Deep Neural Network) 모델을 이용하여 관 파손사고를 실시간 감지하는 모델 개발연구를 수행하였다. 모델은 관 파손사고 감지를 위한 수압계의 최적 위치와 대수를 결정하기 위한 모듈과 관 파손사고 감지모듈로 구성되며, 1개 소블록 Test-Bed를 구축하여 모델을 생성하고 PDD 관망해석 모델을 통해 생성된 가상의 사고에 대한 감지 여부로서 개발 모델의 감지성능을 평가하였다.

• Communications of Mathematical Education
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• v.23 no.1
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• pp.109-128
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• 2009

This study aimed to investigate students' learning process by examining their perception process of problem structure and mathematization, and further to suggest an effective teaching and learning of mathematics to improve students' problem-solving ability. Using the qualitative research method, the researcher observed the collaborative learning of two middle school students by providing problem-posing activities of five lessons and interviewed the students during their performance. The results indicated the student with a high achievement tended to make a similar problem and a new problem where a problem structure should be found first, had a flexible approach in changing its variability of the problem because he had advanced algebraic thinking of quantitative reasoning and reversibility in dealing with making a formula, which related to developing creativity. In conclusion, it was observed that the process of problem posing required accurate understanding of problem structures, providing students an opportunity to understand elements and principles of the problem to find the relation of the problem. Teachers may use a strategy of simplifying external structure of the problem and analyzing algebraical thinking necessary to internal structure according to students' level so that students are able to recognize the problem.

• Communications of Mathematical Education
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• v.37 no.1
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• pp.65-84
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• 2023

The method of Lagrange multipliers, one of the most fundamental algorithms for solving equality constrained optimization problems, has been widely used in basic mathematics for artificial intelligence (AI), linear algebra, optimization theory, and control theory. This method is an important tool that connects calculus and linear algebra. It is actively used in artificial intelligence algorithms including principal component analysis (PCA). Therefore, it is desired that instructors motivate students who first encounter this method in college calculus. In this paper, we provide an integrated perspective for instructors to teach the method of Lagrange multipliers effectively. First, we provide visualization materials and Python-based code, helping to understand the principle of this method. Second, we give a full explanation on the relation between Lagrange multiplier and eigenvalues of a matrix. Third, we give the proof of the first-order optimality condition, which is a fundamental of the method of Lagrange multipliers, and briefly introduce the generalized version of it in optimization. Finally, we give an example of PCA analysis on a real data. These materials can be utilized in class for teaching of the method of Lagrange multipliers.

• School Mathematics
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• v.5 no.1
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• pp.115-133
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• 2003

Investigation of the students' mathematical misconceptions is very important for improvement in the school mathematics teach]ng and basis of curriculum. In this study, we categorize second-grade middle school students' misconceptions on the learning of linear function and make a comparative study of the error-remedial effect of students' collaborative learning vs explanatory leaching. We also investigate how to change and advance students' self-diagnosis and treatment of the milton ceptions through the collaborative learning about linear function. The result of the study shows that there are three main kinds of students' misconceptions in algebraic setting like this: (1) linear function misconception in relation with number concept, (2) misconception of the variables, (3) tenacity of specific perspective. Types of misconception in graphical setting are classified into misconception of graph Interpretation and prediction and that of variables as the objects of function. Two different remedies have a distinctive effect on treatment of the students' misconception under the each category. We also find that a misconception can develop into a correct conception as a result of interaction with other students.

• Journal of the Korea Society of Computer and Information
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• v.16 no.12
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• pp.139-155
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• 2011

In recent years, parents of students and government have been taking a growing interest in education for the gifted students and there are many research reports about the gifted education. Most of the reports, however, focuses on the conceptional feature of the gifted education program such as organization, operation, management, evaluation, etc,. In other words, there are very few researches on instructional materials for gifted students even though the materials is a critical factor for successful education programs. So, this paper introduces a lecture notes used in a personal education for gifted students to contribute in developing education contents in computer science area. The instructional materials titled as "The Necessity and Application of Matrix in Computer Science" is based on linear equation to usher the students into creative problem recognition and groping for solutions. Also, the instructional materials is useful for students to understand the tight mathematics-computer science relationship and the basic concept of liner algebra.