• Title/Summary/Keyword: Mathematics 1

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A Study on the History of Mathematics Education of China (중국의수학교육사)

  • Jeon, Young-Ju
    • Journal for History of Mathematics
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    • v.24 no.2
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    • pp.91-108
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    • 2011
  • This study starts with dividing the history of mathematics education of China into four periods; Experimentation Period(the 1st period, from 1949 to 1965), Stagnancy Period(the 2nd period, from 1966 to 1976). Adjustment Period(the 3rd period, from 1977 to 1999) and Development Period(the 4th period, since 2000 ~) Through periodical classification, several causes and characteristics in mathematics education of each period are identified. And from that, this study draws implications for Korea mathematics education.

The Emergence of Research-oriented Department of Mathematics in Johns Hopkins University (1876-1883) (전문 연구 중심의 존스 홉킨스 대학 수학과 설립 (1876-1883))

  • Jung, Won
    • Journal for History of Mathematics
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    • v.33 no.1
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    • pp.21-32
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    • 2020
  • Daniel Coit Gilman, the first president of Johns Hopkins University, aspired to build an ideal university focused on the competent faculty and their research. His plan was carried out through opening the first American graduate program, hiring professors with the highest-level research performances, assigning them less teaching burdens, and encouraging them to actively publish professional journals. He introduced Department of Mathematics as an initial model to put his plan into practice, and James Joseph Sylvester, a British mathematician invited as the first mathematics professor to Johns Hopkins University, made it possible in a short time. Their concerted efforts led to building the Department of Mathematics as a professional research institute for research, higher education, and expert training as well as to publishing American Journal of Mathematics.

Critical issues of 30% reduction and introduction of the contents of the new Mathematics Curriculum at middle school in Japan (일본의 중학교 수학과 신교육과정 소개와 학습량 30% 감축에 대한 논의)

  • 김응환;이석훈
    • Journal of the Korean School Mathematics Society
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    • v.2 no.1
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    • pp.5-13
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    • 1999
  • The purpose of this paper was to discuss critical issues of 30% reduction and introduction of the contents for new Mathematics Curriculum at middle school in Japan in 2002. This paper consisted of three part: (1) The contents of the new mathematics curriculum in middle school in japan. (2) Discussion about critical issues of 30% reduction of the contents for new Mathematics Curriculum. (3) Proposal of the point of view about 2000 mathematics curriculum in Korea. The authors pointed out that the reduction of the mathematics curriculum in Korea should be considered of a true reduction more carefully.

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A ROBUST AND ACCURATE PHASE-FIELD SIMULATION OF SNOW CRYSTAL GROWTH

  • Li, Yibao;Lee, Dong-Sun;Lee, Hyun-Geun;Jeong, Da-Rae;Lee, Chae-Young;Yang, Dong-Gyu;Kim, Jun-Seok
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.16 no.1
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    • pp.15-29
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    • 2012
  • In this paper we introduce 6-fold symmetry crystal growth using new phase-field models based on the modified Allen-Cahn equation. The proposed method is a hybrid method which uses both analytic and numerical solutions. We then show this method can be extended to $k$-fold case. The Wulff construction procedure is provided to understand and predict the shape of crystals. We also present a detailed mathematical proof of the validity of the Wulff construction. For computational results, we verify the accuracy and efficiency of the method for snow crystal growth.

Practical Use of Technology for Mathematics Education

  • Kang, Ok-Ki
    • Research in Mathematical Education
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    • v.5 no.1
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    • pp.25-44
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    • 2001
  • The purposes of this paper are to understand the functions of technology TI92 graphing calculator and to develop some typical examples showing that current Korean secondary school mathematics curriculum can be treated with the technology. This study is consisted with five chapters. In Chapter 1, the background and purposes for this study is described. In Chapter 2, the textbooks developed by Core-plus Mathematics Project to reform mathematics education in the United states are analyzed to find the possibilities for practical uses in mathematics classrooms. In Chapter 3, the functions of TI-92 are analyzed with regard to how they can be applied to mathematics education. In Chapter 4, some examples are developed to show that TI-92 can be used for Korean secondary school mathematics education. Chapter 5 is consisted with summaries of this study and some suggestions for further study.

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Perceptions of Change and Reform Efforts by Secondary School Mathematics Teachers in the People's Republic of China and the United States

  • Carter, Jack;Lu, Shihu;Ferrucci, Beverly J.
    • Research in Mathematical Education
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    • v.3 no.1
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    • pp.1-8
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    • 1999
  • The present study extends previous research in this area by investigating perceptions of change and reactions to reform efforts by pre-service and practicing secondary school mathematics teachers in the People's Republic of China (PRC) and the United States of America. Interviews were used to gather data about school experiences, teaching practices, and planned changes in mathematics programs. Analysis of the interview data supported earlier findings with respect to the well-planned nature of lessons by PRC teachers and the influence of mathematics contents and examination systems in the PRC. Findings also indicated a general agreement among teachers from both countries favoring less lecturing and more discussion and interactive activities. There were contrasts by nationality in descriptions of future teaching, ideal lessons, sources of teaching ideas, and preferences about school mathematics programs.

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Some Issues in Mathematics Textbooks under the 7th Curriculum (제7차 교육 과정과 교과서의 문제점)

  • 김흥기
    • The Mathematical Education
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    • v.40 no.1
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    • pp.139-159
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    • 2001
  • There are many papers about the 7th curriculum. According to those papers, the 7th curriculum is a new one which makes considerable change in mathematics education. But there are some problems in the 7th curriculum. In this paper, we discuss those problems at first. That is, the 30% reduction of mathematics contents may not be true, and there are some problems about the terms, symbols, and consistency in mathematics contents. We also consider some problems in mathematics textbooks itself and the mathematics textbook authorization under the 7th curriculum. We suggest that (1) there must be valid process in passage of mathematics contents, (2) we must give emphasis on the process - particularly, the teaching of basic concept or principles - rather than the result, (3) we must have guarantee of the equity in the mathematics textbook authorization.

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A Study on the Aspects of Social Justice in Korean Elementary Mathematics Textbooks

  • Lee, Yejin;Park, Mangoo
    • Research in Mathematical Education
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    • v.24 no.1
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    • pp.49-67
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    • 2021
  • In this study, the researchers analyzed the 2015 revised 3rd~6th grade Korean mathematics textbooks from the aspects of social justice in mathematics education. For this study, the researchers constructed a textbook analysis framework for social justice subjects, which categorized by social issues, economy education, democratic education, personality education, safety education, environmental education, and career education. As a result, the 2015 revised elementary mathematics textbooks were reflected the subject matter of social justice in the order of social issues, economic education and democratic education, personality education and environmental education, safety education and career education. Also, the subject of social justice appears in all 3rd~6th grade mathematics textbooks, but it is not explicitly dealt with by combining it with mathematical content. The researchers suggested that mathematics lessons should be developed including social justice issues aligned with elementary mathematics contents.

Learning motivation of groups classified based on the longitudinal change trajectory of mathematics academic achievement: For South Korean students

  • Yongseok Kim
    • Research in Mathematical Education
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    • v.27 no.1
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    • pp.129-150
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    • 2024
  • This study utilized South Korean elementary and middle school student data to examine the longitudinal change trajectories of learning motivation types according to the longitudinal change trajectories of mathematics academic achievement. Growth mixture modeling, latent growth model, and multiple indicator latent growth model were used to examine various change trajectories for longitudinal data. As a result of the analysis, it was classified into 4 subgroups with similar longitudinal change trajectories of mathematics academic achievement, and the characteristics of the mathematics subject, which emphasize systematicity, appeared. Furthermore, higher mathematics academic achievement was associated with higher self-determination and higher academic motivation. And as the grade level increases, amotivation increases and self-determination decreases. This study suggests that teaching and learning support using this is necessary because the level of learning motivation according to self-determination is different depending on the level of mathematics academic achievement reflecting the characteristics of the student.

A Study on the Visualization of Middle & High School Mathematics (중.고등학교 수학의 시각화)

  • 문광호;우정호
    • School Mathematics
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    • v.1 no.1
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    • pp.135-156
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    • 1999
  • The purpose of this study is to discuss about the role of the visualization as an effective method of teaching abstracted mathematics, to analyze visual materials in middle and high school mathematics and to suggest various visualized materials for teaching mathematics effectively. Though formal, symbolic and analytical teaching method is a major characteristic of mathematics, the students should be taught to understand through intuition and insight, and formalize the mathematical concepts progressively. Especially the sight is one of the most important basics of cognition for intuition and insight. Therefore, suggesting mathematical contents through the visual method makes the students understand and formalize the mathematical concepts more easily. In this study, we tried to investigate the meaning and role of visualization in mathematics teaching. And, we discussed about the four roles of visualization in the process of mathematics teaching and learning confirmation and memorization of the mathematical truth, proving theorem and solving problems which is one of the most important purposes of teaching mathematics, According to the roles of visualization, we analyzed visual materials currently taught in middle and high school, and suggested various visual materials useful in teaching mathematics. The investigated fields are algebra where visual materials are little used, and geometry where they are use the most. The paper-made-textbook can't show moving animation vigorously. Hence we suggested visual materials made by GSP and applets in IES .

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