• Title/Summary/Keyword: 수학교육 개선

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An analysis of errors in problem solving of the function unit in the first grade highschool (고등학교 1학년 함수단원 문제해결에서의 오류에 대한 분석)

  • Mun, Hye-Young;Kim, Yung-Hwan
    • Journal of the Korean School Mathematics Society
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    • v.14 no.3
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    • pp.277-293
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    • 2011
  • The purpose of mathematics education is to develop the ability of transforming various problems in general situations into mathematics problems and then solving the problem mathematically. Various teaching-learning methods for improving the ability of the mathematics problem-solving can be tried. However, it is necessary to choose an appropriate teaching-learning method after figuring out students' level of understanding the mathematics learning or their problem-solving strategies. The error analysis is helpful for mathematics learning by providing teachers more efficient teaching strategies and by letting students know the cause of failure and then find a correct way. The following subjects were set up and analyzed. First, the error classification pattern was set up. Second, the errors in the solving process of the function problems were analyzed according to the error classification pattern. For this study, the survey was conducted to 90 first grade students of ${\bigcirc}{\bigcirc}$high school in Chung-nam. They were asked to solve 8 problems in the function part. The following error classification patterns were set up by referring to the preceding studies about the error and the error patterns shown in the survey. (1)Misused Data, (2)Misinterpreted Language, (3)Logically Invalid Inference, (4)Distorted Theorem or Definition, (5)Unverified Solution, (6)Technical Errors, (7)Discontinuance of solving process The results of the analysis of errors due to the above error classification pattern were given below First, students don't understand the concept of the function completely. Even if they do, they lack in the application ability. Second, students make many mistakes when they interpret the mathematics problem into different types of languages such as equations, signals, graphs, and figures. Third, students misuse or ignore the data given in the problem. Fourth, students often give up or never try the solving process. The research on the error analysis should be done further because it provides the useful information for the teaching-learning process.

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An Improvement Program on Specially Supplementary Course in Mathematics for the Test and Teaching (수학과 특별보충과정 편성 및 운영에 관한 개선 방안)

  • Kim, Boo-Yoon;Kim, Ik-Pyo;Kim, Ae-Suk
    • Journal of the Korean School Mathematics Society
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    • v.9 no.3
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    • pp.363-384
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    • 2006
  • In general, teachers have opened a specially supplementary course for the underachivers in mathematics. But because of a lot of problems, the class has not been activated. So in this paper, for the purpose of maximizing the effect of the class, we introduce mathematical games and puzzles in the class for causing the students' interest in mathematics and adopt multi-step test, which is a test with multi level problems in a problem, for both selecting the underachivers in mathematics and supplementing learning deficiency. As a result of the process, the atmosphere of learning is positive and learning activities are voluntary and the altitude to the mathematics is improved.

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Study on learneer's understanding of the concept of irrational number in middle school (중학교 수학에서 무리수 개념에 관한 학습자의 이해 연구)

  • Park , Youn-Hee;Park , Dal-Won;Jung, In-Chul
    • Journal of the Korean School Mathematics Society
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    • v.7 no.2
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    • pp.99-116
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    • 2004
  • This study investigates the concept of irrational number which middle school students begin to learn for the first time in their learning mathematics. Further, this explores how that concept is being taught, how much students understand that concept and things that students have difficulty in understanding relating to the concept of irrational number. Thus we try to figure out how the concept of irrational number should be taught for the most effective students' understanding. Thus, we want to provide some suggestions for teaching and learning irrationals numbers.

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A Review of Teaching the Concept of the Matrix in relation to Historico-Genetic Principle (역사발생적 관점에서 본 행렬 지도의 재음미)

  • Cho, Seong-Min
    • Journal of the Korean School Mathematics Society
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    • v.12 no.1
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    • pp.99-114
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    • 2009
  • Although they are interested in Linear Algebra not only in science and engineering but also in humanities and sociology recently, a study of teaching linear algebra is not relatively abundant because linear algebra was taken as basic course in colleges just for 20-30 years. However, after establishing The Linear Algebra Curriculum Study Group in January, 1990, a variety of attempts to improve teaching linear algebra have been emerging. This article looks into series of studies related with teaching matrix. For this the method for teaching the concepts of matrix in relation to historico-genetic principle looking through the process of the conceptual development of matrix-determinants, matrix-systems of linear equations and linear transformation.

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A Comparison between Suanxue qimeng(Introduction to Mathematical Studies} and Muksa-jipsanbup (산학계몽과 묵사집산법의 비교)

  • Her, Min
    • Journal for History of Mathematics
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    • v.21 no.1
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    • pp.1-16
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    • 2008
  • Suanxue qimeng(算學啓蒙) is the introduction to mathematics which greatly influenced Chosun mathematics, Muksa-jipsanbup(默思集算法) imitated the style and the contents of Suanxue qimeng, but contains a lot of problems, secondary solutions and topics which is not in Suanxue qimeng and tried to achieve educational improvement. However Muksa-jipsanbup could not use the method of rectangular arrays(方程術) because it excluded the method of positive and negative(正負術), and has a serious limitation in applying the method of extracting roots by iterated multiplication(增乘開方法) because it avoided the technique of the celestial element(天元術).

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Discrete Time Tracking Control of Motor Based on Disturbance Observer (외란 관측기 기반의 이산시간 전동기 추종제어)

  • Jeon, Yong-Ho;Kang, Jung-Yoog
    • The Journal of the Korea institute of electronic communication sciences
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    • v.16 no.3
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    • pp.511-518
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    • 2021
  • In order to obtain a good tracking performance of the motor, it is necessary to design a controller that can respond to a disturbance by including a disturbance observer. The disturbance observer of the motor is designed to estimate the load torque and the back electromotive voltage based on the first-order low-pass filter. A PI controller and an IP controller were designed to compare the correlation between the disturbance observer and the controller and to obtain improved control performance. To check the performance of the designed observer and the controller, it was applied to a 120 [W] class BLDC motor. As a result, overshoot is reduced, and it can be seen that the steady-state error converges to zero.

Improvement Study abroad School Safety Analysis (국내외 학교안전 실태분석을 통한 개선방안 연구)

  • Kim, Teahwan
    • Journal of the Society of Disaster Information
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    • v.11 no.3
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    • pp.385-392
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    • 2015
  • In hosting outdoor activities and school trips, safety issues are gaining serious attention lately. In addition to Sewol ferry tragedy and an incident at Kyungjoo Mauna Resort, there have been grown problems related to this crucial factor. This research analyzes negligent accidents occurred from domestic and foreign schools and aims to provide effective safety education and policy through comparative analysis between domestic and foreign cases. We mainly relied on documents such as newspapers, internet articles and legal papers to investigate cases and cooperated with relevant government departments for collecting references and setting agenda for safety supervision. The analysis on both domestic and foreign cases revealed that students abroad receive opportunities for first-hand experience regarding safety and systematic education, as safety maintenance is prioritized. Based on this culture, safety education should be habituated domestically, while participatory safety programs that students can actively involve must also be devised. Moreover, through preparation of entertaining contents such as SNS game programs, skits and activities employing multiple facilities and vehicles at school safety education, we must induce students to actively participate in the program with interests.

Analyzing the characteristics of mathematics achievement in Korea through linking NAEA and PISA (국가수준 학업성취도 평가와 국제 학업성취도 평가의 연계를 통한 우리나라 학생들의 수학 성취 특성 분석)

  • Rim, Hae-Mee;Kim, Su-Jin;Kim, Kyung-Hee
    • Journal of Educational Research in Mathematics
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    • v.22 no.1
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    • pp.1-22
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    • 2012
  • The purpose of this study is to understand Korea students' characteristics as well as to give important information of improving our education using comparative analysis of framework, test booklets, test results between PISA 2009 and NAEA 2009. PISA 2009 was administered on May of 2009 and NAEA was administered on October of same year. The summary of the results of comparing two assessment is as follows First, cut score of NAEA Advance level is bigger than the cut score of level 5, which is considered as high achievement level. The cut score of Basic level of NAEA is also higher than the level 2 of PISA, which is considered as basic achievement level. This phenomenon can show that NAEA achievement level is set little bit higher than the achievement level of PISA in mathematics domain. Second, the percentage of female students on higher level was higher than that of male students. In suburban area, the percentage of high level was small and the percentage of low level was big. Third, students of Advanced level are distributed concentrating in PISA levels 4~6, Proficient achievement level concentrating in PISA levels 3~5, Basic achievement level concentrating in PISA levels 2~4, and below basic achievement levels concentrating in below level 1 and level 3 of PISA. Fourth, the correlation between NAEA 2009 and PISA 2009 achievement scores are significantly positive. However, the correlation of subscales were low. Fifth, analysis of non-equivalent group, 11 items located in 'change and relationship', 'uncertainty', 'connection cluster' domains found to be significantly different. The percent correct showed very big difference. The analysis results presents the implication of mathematics curriculum, teaching and learning methods as well as National Assessment of Educational Achievement.

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Development of cloud-based multiplication table practice application using data visualization (데이터 시각화를 적용한 클라우드 기반 곱셈구구 연습 애플리케이션 개발)

  • Kang, Seol-Joo;Park, Phanwoo;Bae, Youngkwon
    • Journal of The Korean Association of Information Education
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    • v.26 no.4
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    • pp.285-293
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    • 2022
  • The COVID-19 outbreak, which took longer than expected, caused considerable damage to students' basic academic ability in mathematics. In this paper, a multiplication table practice application that can help students improve their basic multiplication arithmetic skills has been developed based on a cloud-service. The performance of the application was improved by integrating the Flutter framework, Google Cloud, and Google Sheets. As a result of applying this application to 72 6th graders in elementary schools located in K Metropolitan City, for one week. students' spending time required for solving multiplication table problems was reduced by more than 28% compared to the initial period, while students' learning data was able to be accurately collected without errors. It is hoped that the development case conducted through the Flutter framework in this study can lead to the development of other educational learning applications.

A new decomposition algorithm of integer for fast scalar multiplication on certain elliptic curves (타원곡선상의 고속 곱셈연산을 위한 새로운 분해 알고리즘)

  • 박영호;김용호;임종인;김창한;김용태
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.11 no.6
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    • pp.105-113
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    • 2001
  • Recently, Gallant, Lambert arid Vanstone introduced a method for speeding up the scalar multiplication on a family of elliptic curves over prime fields that have efficiently-computable endomorphisms. It really depends on decomposing an integral scalar in terms of an integer eigenvalue of the characteristic polynomial of such an endomorphism. In this paper, by using an element in the endomorphism ring of such an elliptic curve, we present an alternate method for decomposing a scalar. The proposed algorithm is more efficient than that of Gallant\`s and an upper bound on the lengths of the components is explicitly given.