• Title/Summary/Keyword: math journal

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A Study on the comparison of models for teaching the concept of function (함수개념 지도를 위한 모델 비교 연구)

  • Heo, Hae-Ja;Kim, Jong-Myung;Kim, Dong-Won
    • Journal for History of Mathematics
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    • v.24 no.4
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    • pp.97-118
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    • 2011
  • This study aimed finding effective models for the teaching the concept of function. We selected two models. One is discrete model which focuses on the 'corresponding relation of the elements of the sets(domain and range). The other is continuous model which focuses on the dependent relationship of the two variables connected in variable phenomenon. A vending machine model was used as a discrete model, and a water bucket model was used as a continuous model in our study. We taught 2 times about the concept of function using two models to the 60 students (7th grade, 2 classes) living in Taebak city, and tested it twice, after class and about 3 months later. A vending machine model was helpful in understanding the definition of function in the 7th grade math textbook. Also, it was helpful to making concept image and to recalling it. On the other hand, students who used the water bucket model had a difficultly in understanding the all independent variables of the domain corresponding to the dependent variables. But they excelled in tasks making formula expression and understanding changing situations.

A Historical Study on the Interaction of the Limit-the Infinite Set and Its Educational Implications (극한과 무한집합의 상호작용과 그 교육적 시사점에 대한 역사적 연구)

  • Park, Sun-Yong
    • Journal for History of Mathematics
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    • v.31 no.2
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    • pp.73-91
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    • 2018
  • This study begins with the awareness of problem that the education of mathematics teachers has failed to link the limit and the infinite set conceptually. Thus, this study analyzes the historical and reciprocal development of the limit and the infinite set, and discusses how to improve the education of these concepts and their relation based on the outcome of this analysis. The results of the study confirm that the infinite set is the historical tool of linking the limit and the real numbers. Also, the result shows that the premise of 'the component of the straight line is a point.' had the fundamental role in the construction of the real numbers as an arithmetical continuum and that the moral certainty of this premise would be obtained through a thought experiment using an infinite set. Based on these findings, several proposals have been made regarding the teacher education of awakening someone to the fact that 'the theoretical foundation of the limit is the real numbers, and it is required to introduce an infinite set for dealing with the real numbers.' in this study. In particular, by presenting one method of constructing the real numbers as an arithmetical continuum based on a thought experiment about the component of the straight line, this study opens up the possibility of an education that could get the limit values psychologically connected to the infinite set in overcoming the epistemological obstacle related to the continuum concept.

An Instructional Design for the Converged English-Science Teaching Method using PBL Model in Elementary School (PBL 모형을 적용한 초등학교 영어·과학 융합 수업 모델 설계)

  • Park, In-Hwa
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.21 no.7
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    • pp.66-72
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    • 2020
  • In order to cultivate talented people with national economic influence in the rapidly changing 21st- century modern society, STEM(Science Technology Engineering Mathematics) education has been emphasized in advanced countries such as America and England. In South Korea, STEAM(Science Technology Engineering Arts Mathematics) education is emphasized by adding Arts. The objective of STEAM education is to strengthen the interest and motivation of learners, to focus on experience, exploration, experimentation, to solve convergent thinking and real-life problems, rather than cramming method of teaching and memorization. This study identifiesan instructional design for converged English, the world's official language, and science which is found in nearly all disciplines. With the development of the 4th industrial revolution based on the PBL model, learners participate in their lessons voluntarily for problem-solving skills. The instructional design based on the ADDIE model consists of 5 procedures: Analysis, Design, Development, Implementation, and Evaluation. The goal of fostering talented people with national economic influence is also important, and the teacher in education must recognize the importance of STEAM education and an appropriate instructional design should be studied constantly.

Academic Vocabulary Selection and the Development of Learning Application for Students with Multi-cultural Backgrounds (다문화 배경 학생을 위한 학습 도구어 선정 및 학습 어플리케이션 개발)

  • Min, Kyeongah;Yoo, Donghee
    • The Journal of the Korea Contents Association
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    • v.20 no.5
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    • pp.23-36
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    • 2020
  • This study indicates there is a need for delivering key academic vocabulary to students with multi-cultural backgrounds before they enter middle school and thus select academic vocabularies necessary for satisfactory middle school education and self-directed learning methods using a more focused selected academic vocabulary list. To this end, we first examine the vocabularies appearing in the main Korean language, math, social studies and science textbooks used in the first year of middle school and compile the most practical academic vocabulary list. Then we offer a selection method for the main academic vocabulary from these compiled vocabularies. We also propose a self-directed vocabulary learning model for using these selected academic vocabularies and an academic vocabulary learning application as a prototype. As a result, students with multi-cultural backgrounds will be able to adapt to middle school education more quickly when they learn the necessary academic vocabularies on their own using the academic vocabulary learning application.

AN ANALYSIS OF RECENT RESEARCH ON THE METHOD OF EXCESS AND DEFICIT (Ying NÜ and Ying Buzu Shu) (영뉵(盈朒)과 영부족술(盈不足術)에 관한 최근 동서양의 연구 분석)

  • Lee, Sang-Gu;Lee, Jae Hwa
    • Korean Journal of Mathematics
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    • v.20 no.1
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    • pp.137-159
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    • 2012
  • In this paper, we deal with recent researches on Ying N$\ddot{u}$ and Ying Buzu(盈不足) which were addressed in the book Jiu Zhang Suan Shu(九章算術, The Nine Chapters on the Mathematical Art). Ying N$\ddot{u}$(Ying Buzu) is a concept on profit and loss problems. Ying Buzu Shu(盈不足術, the method of excess and deficit) represents an algorithm which has been used for solving many mathematical problems. It is known as a rule of double false position in the West. We show the importance of Ying Buzu Shu via an analysis of some problems in 'Ying Buzu' chapter. In 1202, Fibonacci(c.1170-c.1250) used Ying Buzu Shu in his book. This shows some of Asian mathematics were introduced to the West even before the year 1200. We present the origin of Ying Buzu Shu, and its relationship with Cramer's Rule. We have discovered how Asia's Ying Buzu Shu spread to Europe via Arab countries. In addition, we analyze some characters of Ying N$\ddot{u}$(Ying Buzu) in the book Suan Xue Bao Jian(算學寶鑑).

Optimizing Path Finding based on Dijkstra's Algorithm for a Quadruped Walking Robot TITAN-VIII (4족보행 로봇 TITAN-VIII의 Dijkstra's Algorithm을 이용한 최적경로 탐색)

  • Nguyen, Van Tien;Ahn, Byong-Won;Bae, Cherl-O
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.23 no.5
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    • pp.574-584
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    • 2017
  • In this paper, the optimizing path finding control method is studied for a Legged-robot. It's named TITAN-VIII. It has a lot of advantages over the wheeled robot in the ability to walk freely on an irregular ground. However, the moving speed on the ground of the Legged-robot is slower than the Wheeled-robot's. Consequently, the purpose of the method is presented in this paper to minimize its time when it walks to a goal. It find the path, our approach is based on an algorithm which is called Dijkstra's algorithm. In the rest of paper, the various posture of the robot is discussed to keep the robot always in the statically stable. Based on above works, the math formulas are presented to determine the joint angles of the robot. After that an algorithm is designed to find and keep robot on the desired trajectory. Experimental results of the proposed method are demonstrated in the last of paper.

Analysis of PISA 2009 Impacts of School Library Level Variables on Academic Achievement (PISA 2009 학업성취도에 대한 학교도서관 변인의 영향력 분석)

  • Park, Ju-Hyeon;Chang, Woo-Kwon
    • Journal of the Korean Society for information Management
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    • v.31 no.3
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    • pp.331-351
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    • 2014
  • This study analyzed students', parents of student, and school master' survey materials and reading, math, and science knowledge performance based on OECD PISA 2009 Koreana data. Also, school library level variables grasped the impacts of academic achievement. Through this study looked for suggestion to improvement, educational accountability and leverage of school library. The results, first, when they use reading more pleasantly thought, they achieve higher scores in academic performance. Second, when they use more books and reading resources in housekeeping, they achieve higher scores in academic performance. Third, when they were more visits school library for exploit internet, they achieve higher lower scores in academic performance. Fourth, when the member of the staff in the school library are more lack of people, they achieve lower scores in academic performance. Fifth, private education's experience in reading have a negative influence in reading achievement and science achievement. Sixth, school library's visiting and library application study about national language curriculum in the impacts of academic performance would not change statistical evaluation significantly.

Dielectric Properties in Bi2O3-PbO-SiO2 Glass containing B2O3 (B2O3를 함유한 Bi2O3-PbO-SiO2계 유리의 유전적 특성)

  • Joung, Maeng-Sig;Lee, Su-Dae
    • Journal of Korean Ophthalmic Optics Society
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    • v.6 no.2
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    • pp.23-29
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    • 2001
  • In the SP series of glasses, the formation of droplet is well done with increasing PbO. But in the case SP-1, droplet could not be observed in low concentration PbO. These results are considered that PbO does the role of a network modifier, so the crosslinking break down by $SiO_2$. But, in the glasses contained PbO above 50 mol%, glasses are formeddue to $Pb^{4+}$ ion does the role of a network former. As a result of electrical conductivity analysis for SP series of glasses, the electrical conduction is due to bipolaron at high temperature, and it is due to single polaron hopping at low temperature. In the SP series of glasses, electrical conduction mechanism coincide with the correlated-barrier hopping(CBH) model.

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The Study on Elementary Preservice Teachers' Content Knowledge in Arithmetic and Algebra Word Problems Solving Strategy (산술과 대수 영역의 문장제 문제해결 전략에 대한 초등 예비교사의 내용지식 연구)

  • Lee, Jeong-Hak
    • The Journal of the Korea Contents Association
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    • v.14 no.12
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    • pp.1083-1099
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    • 2014
  • The purpose of this study is to analyze that The arithmetic and algebraic word problem solving skill, strategy preference, and assessment ability of elementary preservice teachers is investigated using a statistical methodology. The research findings are as follows. First, elementary preservice teachers demonstrated logical and delicate problem solving behaviors in arithmetic and algebraic word problem solving. And elementary preservice teachers prefer to create a formula and table strategy in problem solving of the arithmetic question. Second, there was meaningful difference in the math and english elementary preservice teachers' appreciations with significant level of 0.05. And there was not meaningful difference in the 1 and 4 grade elementary preservice teachers' appreciations with significant level of ${\alpha}=0.05$. Results of the study suggest that teachers education course need to improve elementary preservice teachers' word problem solving skill, strategy preference, and assessment ability in the arithmetic and algebraic.

4 and 7 Element GPS Anti-jamming Algorithm Performance Analysis Considering the Relative Arrangement of the Multiple Jammers (비행체의 자세와 GPS 재머의 상대적인 배치상태를 고려한 4소자 및 7소자 항재밍장치에 대한 성능분석)

  • Choi, Jae-Gun
    • Journal of Advanced Navigation Technology
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    • v.20 no.3
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    • pp.218-225
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    • 2016
  • Null steering and beam steering are known well as anti-jamming methods in GPS anti-jamming system. Null steering gets a noise attenuation effect for the direction of jamming and beam steering earns additional gain synthesis for the direction of satellite signals. According to the research in the article for signal processing, it expresses that the N array antenna is effective for N-1 number of jamming signal by math public interest, however, the two algorithms analysis is not unknown for the operating condition of the realistic vehicle. In this paper, we modeled anti-jamming system using 4 and 7 array antenna and showed the two algorithms performance (PM, LCMV) when considering the number of antenna array, jammers and vehicle position (horizontal, vertical). In result, we showed that the case of vertical position of the vehicle which has large tilt angle for the relative position of satellites and jammers, has about 10 dB gain more in comparison with one of vertical position in spite of same JSR condition.