• 제목/요약/키워드: routine problem

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고등학교 수학의 방정식에 관련된 문제의 분석 및 해결에 관한 연구 (A Study on Analyzing and Solving Problems Related with Equation of High School Mathematics)

  • 유익승;한인기
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제24권3호
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    • pp.793-806
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    • 2010
  • 본 연구는 2007개정 교육과정에서 강조하는 창의적인 탐구, 문제해결에 관련된 문헌연구로, 본 연구에서는 문제의 이해 단계에서 수행하는 분석의 본질 및 유형을 문헌연구를 통해 고찰하였으며, 구체적인 방정식 문제들에 대한 분석을 제시하였고, 분석을 통해 얻어진 정보들을 활용한 다양하고 비정형적인 문제해결의 방법들을 제시하였다. 이를 통해, 고등학교의 수학교실에서 방정식 단원의 다양한 해법찾기 활동에 관련된 기초자료를 제공할 수 있을 것으로 기대된다.

Problem Posing in the Instruction of Proof: Bridging Everyday Lesson and Proof

  • Kim, Hangil
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제24권3호
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    • pp.255-278
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    • 2021
  • Proof serves a critical role in mathematical practices as well as in fostering student's mathematical understanding. However, the research literature accumulates results that there are not many opportunities available for students to engage with proving-related activities and that students' understanding about proof is not promising. This unpromising state of instruction of proof calls for a novel approach to address the aforementioned issues. This study investigated an instruction of proof to explore a pedagogy to teach how to prove. The teacher utilized the way of problem posing to make proving a routine part of everyday lesson and changed the classroom culture to support student proving. The study identified the teacher's support for student proving, the key pedagogical changes that embraced proving as part of everyday lesson, and what changes the teacher made to cultivate the classroom culture to be better suited for establishing a supportive community for student proving. The results indicate that problem posing has a potential to embrace proof into everyday lesson.

수학적 문제해결역량을 위한 평가 문항의 조건과 그 실제 (Analysis of Mathematical Problem Based on Mathematical Problem Solving Competency)

  • 이선영;이지수;한선영
    • 한국수학교육학회지시리즈A:수학교육
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    • 제57권2호
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    • pp.111-136
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    • 2018
  • This study suggests a framework for analyzing items based on the characteristics, and shows the relationship among the characteristics, difficulty, percentage of correct answers, academic achievement and the actual mathematical problem solving competency. Three mathematics educators' classification of 30 items of Mathematics 'Ga' type, on 2017 College Scholastic Ability Test, and the responses given by 148 high school students on the survey examining mathematical problem solving competency were statistically analyzed. The results show that there are only few items satisfying the characteristics for mathematical problem solving competency, and students feel ill-defined and non-routine items difficult, but in actual percentage of correct answers, routineness alone has an effect. For the items satisfying the characteristics, low-achieving group has difficulty in understanding problem, and low and intermediate-achieving group have difficulty in mathematical modelling. The findings can suggest criteria for mathematics teachers to use when developing mathematics questions evaluating problem solving competency.

이진 조작을 통한 정적 스택 보호 시 발생하는 명령어 밀림현상 방지 기법 (Instruction-corruption-less Binary Modification Mechanism for Static Stack Protections)

  • 이영림;김영필;유혁
    • 한국정보과학회논문지:컴퓨팅의 실제 및 레터
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    • 제14권1호
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    • pp.71-75
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    • 2008
  • 현재 많은 센서 운영체제에서는 메모리 제약 때문에 스레드 스택을 공유한다. 하지만 대부분의 대상 플랫폼에서는 MMU가 없어서 하드웨어적으로 스택 보호가 이루어지기 어렵다. 이러한 문제를 해결하기 위해 바이너리코드에 스택 보호 기능을 가진 래퍼 함수를 추가하고 바이너리 코드 안에 존재하는 스택 연산 명령어들을 스택 보호 기능을 가진 래퍼 함수호출로 바꾸어준다. 이때 스택 영역에 접근하는 명령어들과 스택 관리 모듈로의 분기 명령어간의 명령어 길이 차이에 의한 명령어 밀림현상이 발생한다. 이러한 문제를 해결하기 위해 본 논문에서는 밀림현상을 발생시키지 않고 임의의 명령어를 추가된 임의의 모듈을 호출하는 알고리즘을 제안하였다. 이 알고리즘은 제한된 도달 범위를 가지는 분기명령어를 반복적으로 사용하여 명령어 밀림현상 없이 추가된 임의의 모듈에 도달하게 한다. 본 논문에서 제안한 알고리즘은 센서 노드의 소프트웨어 보안 패치와 소프트웨어적 유지 보수를 용이하게 할 것이다.

수리계획 모형을 이용한 최적의 작은 네트워크 찾기 (Finding Optimal Small Networks by Mathematical Programming Models)

  • 최병주;이희상
    • 산업공학
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    • 제21권1호
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    • pp.1-7
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    • 2008
  • In this paper we study the Minimum Edge Addition Problem(MEAP) to decrease the diameter of a graph. MEAP can be used for improving the serviceability of telecommunication networks with a minimum investment. MEAP is an NP-hard optimization problem. We present two mathematical programming models : One is a multi-commodity flow formulation and the other is a path partition formulation. We propose a branch-and-price algorithm to solve the path partition formulation to the optimality. We develop a polynomial time column generation sub-routine conserving the mathematical structure of a sub problem for the path partition formulation. Computational experiments show that the path partition formulation is better than the multi-commodity flow formulation. The branch-and-price algorithm can find the optimal solutions for the immediate size graphs within reasonable time.

n/m 흐름작업의 Heuristic 기법에 관한 연구 (A Study on the Heuristic Algorithm for n/m Flow- Shop Problem)

  • 이근부
    • 산업경영시스템학회지
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    • 제5권6호
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    • pp.41-48
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    • 1982
  • This paper analyzed md developed flow - shop sequencing heuristic method. The essence of the heuristic approach is in the application of selective routine that reduce the size of a problem. The advantages of this approach are consistency. Speed, endurance and the ability to cope with more data and larger systems than is humanly possible, In recent years many heuristic procedures have been suggested for the flow - shop sequencing problem. Although limited comparisons of these procedures have been made, a full scale test and evaluation have not been reported previously. The maximum flow - time criterion is selected as the evaluation criterion is selected as the evaluation criterion of flow - shop's efficiency. The author evaluated these 3 heuristic method's performance. By the evaluation of the result, we can see that the modified methods produce a shorter maximum flow - time than the original methods.

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폐실질내 및 기관지내 과오종 (Intrapulmonary and Endobronchial Hamartoma)

  • 김기만
    • Journal of Chest Surgery
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    • 제22권4호
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    • pp.709-712
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    • 1989
  • The hamartoma is the commonest benign tumor of the lung and proved incidentally as asymptomatic coin lesion on routine chest radiologic examination, but has very low incidence, especially in endobronchial origin. The authors experienced a case of coincidental with intrapulmonary and endobronchial hamartoma. The patient, a 60-year-old man, a farmer, was admitted due to coughing and fever. Preoperative diagnosis was achieved by flexible bronchoscopic biopsy and managed by right middle lobectomy. Three lobulated masses were palpable in the right middle lobe. He was discharged on 15th postoperative day, without problem.

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CHALLENGES AND PROSPECTS FOR WHOLE-CORE MONTE CARLO ANALYSIS

  • Martin, William R.
    • Nuclear Engineering and Technology
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    • 제44권2호
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    • pp.151-160
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    • 2012
  • The advantages for using Monte Carlo methods to analyze full-core reactor configurations include essentially exact representation of geometry and physical phenomena that are important for reactor analysis. But this substantial advantage comes at a substantial cost because of the computational burden, both in terms of memory demand and computational time. This paper focuses on the challenges facing full-core Monte Carlo for keff calculations and the prospects for Monte Carlo becoming a routine tool for reactor analysis.

수학 영재의 문제만들기: 사례 연구 (Problem Posing by Mathematically Gifted Middle School Students: A Case Study)

  • 백대현;이진희
    • 대한수학교육학회지:학교수학
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    • 제12권3호
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    • pp.259-271
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    • 2010
  • 중학교 1학년 수학 영재의 문제만들기 활동에 관한 본 연구의 전반적인 두 가지 목적은 문제만들기 활동을 위하여 나눗셈 정리와 관련하여 소재로 제시한 문제에 대한 선호도를 조사하고 구체적인 해결 방법과 관련된 문제를 만드는데 나타난 접근 방법을 분석하는 것이다. 이를 위하여 수학 영재가 만든 문제를 '정형적인' 문제와 '비정형적인' 문제로 구분하고 나눗셈 정리와 관련하여 제시한 3단계 수준의 문제와 결합하여 모두 6가지 문제 유형으로 분류하였다. 문제 분석 결과를 바탕으로 수학영재의 문제 만들기 활동에 대한 시사점을 제시하였다.

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A Study on the Development of Creativity in the Secondary Mathematics in Korea

  • Kim, Boo-Yoon;Lee, Ji-Sung
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제5권1호
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    • pp.45-58
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    • 2001
  • This study sheds light on the importance of developing creativity in mathematics class by examining the theoretical base of creativity and its relationship to mathematics. The study also reviewed the realities of developing creativity in mathematics courses, and it observed and analyzed the processes in which students and teachers solve the mathematics problems. By doing so, the study examined creative abilities of both students and teachers and suggests what teachers can do to tap the potential of the student. The subjects of the study are two groups of students and one group of mathematics teachers. These groups were required to solve a particular problems. The grading was made based on the mathematical creativity factors. There were marked differences in the ways of the solutions between of the student groups and the teacher group. It was clear that the teachers\\` thinking was limited to routine approaches in solving the given problems. In particular, there was a serious gap in the area of originality. As can be seen from the problem analysis by groups, there was a meaningful difference between the creativity factors of students and those of teachers. This study presented research findings obtained from students who were guided to freely express their creativity under encouragement and concern of their teachers. Thus, teachers should make an effort to break from their routine thinking processes and fixed ideas. In addition, teaching methods and contents should emphasize on development of creativity. Such efforts will surely lead to an outcome that is beneficial to students.

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