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WHAT CAN WE SAY ABOUT THE TIME COMPLEXITY OF ALGORITHMS \ulcorner

  • Park, Chin-Hong
    • Journal of applied mathematics & informatics
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    • v.8 no.3
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    • pp.959-973
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    • 2001
  • We shall discuss one of some techniques needed to analyze algorithms. It is called a big-O function technique. The measures of efficiency of an algorithm have two cases. One is the time used by a computer to solve the problem using this algorithm when the input values are of a specified size. The other one is the amount of computer memory required to implement the algorithm when the input values are of a specified size. Mainly, we will restrict our attention to time complexity. To figure out the Time Complexity in nonlinear problems of Numerical Analysis seems to be almost impossible.

An analysis on Learning Achievement of Topics in Basic Mathematics for Matriculants (대학 입학예정자를 위한 기초수학 특강의 학업성취도 분석)

  • Park, Joon-Sik;Pyo, Yong-Soo
    • East Asian mathematical journal
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    • v.29 no.4
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    • pp.393-407
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    • 2013
  • The purpose of the study is to find out how to improve the ability of problem-solving for matriculants who have deficiency in understanding general mathematics. To figure out effective teaching method for the matriculants, we manage special lecture for basic mathematics and, analyze student assessment, course evaluation and also effects on calculus subject.

A Study on the Application of PRICE Model in the Environment of Korean Defense Industry (한국 방산환경에서의 PRICE모델 적용방안 연구)

  • 김만재;최석철
    • Journal of the military operations research society of Korea
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    • v.28 no.1
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    • pp.67-82
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    • 2002
  • In this paper, we consider a rule of application of PRICE(Parametric Review of Information for Costing and Evaluation) model to the environment of Korean defense industry. The PRICE model which is a computer model to estimate the cost of an acquisition program, was developed for the regulation of defense acquisition program in the United States. Therefore, it is essential for us to figure out how we can adopt it under our defense acquisition regulations. We will give an alternative method to apply the PRICE model to the mapping problem between two regulations.

An Analysis of Elementary Mathematics Curricula and Instructional Materials Related to Problem Solving (문제 해결에 관한 초등학교 수학과 교육과정 및 교과용도서 분석)

  • Pang, JeongSuk;Lee, Jiyoung;Seo, Eunmi
    • Journal of Educational Research in Mathematics
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    • v.26 no.3
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    • pp.583-605
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    • 2016
  • Problem solving has been consistently emphasized in national mathematics curricula, whereas the foci of such an emphasis have been changed. Given this background, this study traced down major changes in emphasizing problem solving from the first national mathematics curriculum to the most recent 2015 curriculum. In particular, both the 2009 and the 2015 revised curricula were analyzed in detail to figure out the latest emphasis and trends. This paper then investigated whether a series of mathematics textbooks were aligned to the emphases of recent curricula. It finally discussed some issues that we need to reconsider with regards to problems, problem solving strategies, and the process of problem solving. As such, this study is expected to provide textbook developers with detailed implications on how to employ problem solving in new series of textbooks.

A Study on Torch Path Generation for Laser Cutting Process (레이저 절단공정에서의 토지경로 생성에 관한 연구)

  • Han, Guk-Chan;Na, Seok-Ju
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.6
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    • pp.1827-1835
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    • 1996
  • This paper addresses the problem of a torch path generation for the 2D laser cutting of a stock plate nested with resular or irregular parts. Under the constaint of the relative positions of parts enforced by nesting, the developed torch path algorithm generate feasible cutting path. In this paper, the basic object is a polygon( a many-slide figure) with holes. A part may be represented as a number of line segments connected end-to-end in counterclockwise order, and formed a closed contour as requied for cutting paths. The objective is to tranverse this cutting contours with a minimum path length. This paper proposes a simulated annealing based dtorch path algorithm, that is an improved version of previously suggested TSP models. Since everypiercing point of parts is not fixed in advance, the algorithm solves as relazed optimization problem for the constraint, thich is one of the main features of the proposed algorithm. For aolving the torch path optimization problem, an efficient generation mechanism of neighborhood structure and as annealing shedule were introduced. In this way, a global solution can be obtained in a reasonable time. Seveeral examples are represented to ilustrate the method.

An Application of Problem Based Learning to an Earth Science Course in Higher Education

  • Kwon, Byung-Doo;Kim, Kyung-Jin
    • Journal of the Korean earth science society
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    • v.24 no.2
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    • pp.108-116
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    • 2003
  • Problem Based Learning (PBL) is one of methods which has been developed to promote student-centered learning and to pursue self-directed learning for life-long learning. The purpose of this study is exploring the possibility of Problem Based Learning (PBL) in college Earth science course. The participants of this study were fourteen students attending an Earth science class at Sookmyung Women's University in Seoul. PBL was implemented in the form of group project with utilizing Web-based course tool. We provided questionnaires and conducted interviews to figure out students' perception about PBL. The findings were as follows: Through a given experiences, (1) students participated more actively than LBL (Lecture Based Learning), (2) more students were engaged with self-directed learning, and (3) students made higher cognitive efforts. LBL seemed to be more efficient way to acquire factual knowledge. In the meanwhile, PBL did not seem to affect the improvement of communication skills. Students could not make use of Web-based course tool effectively in communicating with other team members. In this study, we found that college student participants preferred problems related to everyday life, environmental issues and interesting but unusual incidents. On the other hand, they felt difficult in open-ended problems, especially when they were asked to provide their own evaluation. On the basis of PBL experiment in this paper, we present one method of successful implementation of PBL and suggest topics which should be studied in the future.

A Case Study of VisualBasic Programming Learning based on Problem-Based Learning (문제중심학습(Problem-Based Learning)을 적용한 비주얼베이식(VisualBasic) 프로그래밍 학습의 사례 연구)

  • Son, Kyung-A
    • The Journal of Korean Association of Computer Education
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    • v.5 no.1
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    • pp.17-25
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    • 2002
  • The purpose of this study is to utilize new way of learning, Problem-Based Learning, for learning of VisualBasic programming. Providing authentic problems is a critical factor for programming learning because the skill may be not such a simple command learning but includes a variety of complexity. The objective of the learning is to develop quiz using VisualBasic programming. With programming skill, students was expected to solve the problem through peer collaboration activities as well as evaluation by peer and group composites. According to descriptive survey, it is concluded that students figure out their own learning status clearly. Furthermore, improvement of learning attitude and participation affect satisfaction and self-confidence.

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Elementary school students' Problem solving process on Problem-Based Learning Approach - Focused on drawing graphs (문제중심학습(PBL)에서 초등학생들의 문제해결과정과 의사소통 -비율그래프를 중심으로)

  • Jang, Eunha;Lee, Kwangho
    • Education of Primary School Mathematics
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    • v.16 no.3
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    • pp.193-209
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    • 2013
  • This study was designed to identify how teachers and students solve problems and communicate with each other during the course of study through application of PBL questions that can be utilized in math ratio and graph sections of the 6th-grade elementary school curriculum in class. Therefore we haved figure it out that through pbl class student acquired a propound knowledge in math and showed self-directed learning through various communication activities, and that they finally showed positive attitude and confidence in this subject.

An Analysis on the Elementary Students' Problem Solving Process in the Intuitive Stages (직관적 수준에서 초등학생들의 수학 문제해결 과정 분석)

  • Lee, Daehyun
    • Journal of the Korean School Mathematics Society
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    • v.18 no.3
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    • pp.241-258
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    • 2015
  • The purpose of this paper is to examine the students' mathematics problem solving process in the intuitive stages. For this, researcher developed the questionnaire which consisted of problems in relation to intuitive and algorithmic problem solving. 73 fifth grade and 66 sixth grade elementary students participated in this study. I got the conclusion as follows: Elementary students' intuitive problem solving ability is very low. The rate of algorithmic problem solving is higher than that of intuitive problem solving in number and operation areas. The rate of intuitive problem solving is higher in figure and measurement areas. Students inclined to solve the problem intuitively in that case there is no clue for algorithmic solution. So, I suggest the development of problems which can be solved in the intuitive stage and the preparation of the methods to experience the insight and intuition.

Using the Cabri3D Program for Enhancing Problem Solving Ability (문제해결력 신장을 위한 Cabri3D의 교육적 활용)

  • Kim, Nam-Hee
    • Journal of Educational Research in Mathematics
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    • v.16 no.4
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    • pp.345-366
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    • 2006
  • In this study, we investigated the methods of using the Cabri3D program for education of problem solving in school mathematics. Cabri3D is the program that can represent 3-dimensional figures and explore these in dynamic method. By using this program, we can see mathematical relations in space or mathematical properties in 3-dimensional figures vidually. We conducted classroom activity exploring Cabri3D with 15 pre-service leachers in 2006. In this process, we collected practical examples that can assist four stages of problem solving. Through the analysis of these examples, we concluded that Cabri3D is useful instrument to enhance problem solving ability and suggested it's educational usage as follows. In the stage of understanding the problem, it can be used to serve visual understanding and intuitive belief on the meaning of the problem, mathematical relations or properties in 3-dimensional figures. In the stage of devising a plan, it can be used to extend students's 2-dimensional thinking to 3-dimensional thinking by analogy. In the stage of carrying out the plan, it can be used to help the process to lead deductive thinking. In the stage of looking back at the work, it can be used to assist the process applying present work's result or method to another problem, checking the work, new problem posing.

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