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The Comparison of Educational Contents between Korea and Foreign Countries (한국과 외국의 이산 수학 교육 내용 비교)

  • 한진규;서종진;홍지창
    • Journal of the Korean School Mathematics Society
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    • v.5 no.2
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    • pp.59-70
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    • 2002
  • In case of Korea, while discrete mathematics is included in the traditional school curriculum the 7th Educational Reform adds a new topic of Graph Theory making it an optional subject of highschool mathematics. However, a systematic research on the curriculum of discrete mathematics is still unsatisfactory. This study is focused on comparing the curriculum of discrete mathematics in Korea with that of other countries including the United States, Britain, Japan, and Canada. Consequently, it looks into problems concerning the school curriculum of discrete mathematics in Korea to devise a proper measure to improve.

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An Analysis on the Students' Achievement in the 'Speed of Objects' Chapter based on the Integrated Science and Mathematics Classes for Elementary School Students (수학과 과학을 통합 지도한 초등학교 '물체의 속력' 수업에서 학생의 학습 성취 분석)

  • Jung, Hana;Jhun, Youngseok
    • Journal of Korean Elementary Science Education
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    • v.34 no.4
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    • pp.372-381
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    • 2015
  • Mathematics and science are very closely related. Among the science areas, physic is strongly linked with mathematics. As the related mathematics skills were alloted later than the science contents in the national curriculum, students often suffer from science classes. Accordingly, an opinion have been claimed to teach the related mathematics skills prior to the science classes. However, it would be hard to arrange all science and mathematics contents in order. Instead of that, in this research, we taught students mathematics contents that are crucial for learning speed through science classes. We called that teaching strategy an integrated science and mathematics class. Then, we examined students' achievement in science as well as skills of mathematics to know the effectiveness of the strategy. We found that the average mathematics score of the whole class went up meaningfully. We also found that their science achievement was above than basic level. Moreover, the homeroom teacher of the students observed 3 aspects which showed the students were better than previous students. Finally, we divided the students into 4 groups by their science and mathematics achievement score and interviewed each group. As a result, we knew that interesting and confidence in science and mathematics quite exerted influence on their achievement.

A Study on Probability and Statistics Education in Practical Mathematics and Mathematics I Textbooks According to the 7th National Mathematics Curriculum in Korea (제 7차 수학과 교육과정에 따른 실용수학과 수학 I 확률 및 통계단원 분석)

  • Jang Dae-Heung;Lee Hyo-Jeong
    • The Korean Journal of Applied Statistics
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    • v.18 no.2
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    • pp.453-469
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    • 2005
  • In Korea, mathematics education of 11-12 grade students has been taken according to the 7th national mathematics curriculum, which was renovated by the Ministry of Education and Human Resources Development announcement in 1997. The education of probability and statistics has been carried out as a part of this curriculum. We analyze mathematics textbooks-Practical mathematics and Mathematics I- and compare the 7th national mathematics curriculum with the 6th national mathematics curriculum.

Mediating Effect of Learning Strategy in the Relation of Mathematics Self-efficacy and Mathematics Achievement: Latent Growth Model Analyses (수학 자기효능감과 수학성취도의 관계에서 학습전략의 매개효과 - 잠재성장모형의 분석 -)

  • Yum, Si-Chang;Park, Chul-Young
    • The Mathematical Education
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    • v.50 no.1
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    • pp.103-118
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    • 2011
  • The study examined whether the relation between mathematics self-efficacy and mathematics achievement was partially mediated by the learning strategies, using latent growth model analyses. It was also examined the auto-regressive, cross-lagged (ARCL) panel model for testing the stability and change in the relation of mathematics self-efficacy and learning strategy over time. The study analyzed the first-year to the third-year data of the Korean Educational Longitudinal Survey (KELS). The result of ARCL panel model analysis showed that earlier mathematics self-efficacy could predict later learning strategy use. There were linear trends in mathematics self-efficacy, learning strategy, and mathematics achievement. Specifically, mathematics achievement was increased over the three time points, whereas mathematics self-efficacy and learning strategies were significantly decreased. In the analyses of latent growth models, the mediating effects of learning strategies were overall supported. That is, both of initial status and change rate of rehearsal strategy partially mediated the relation of mathematics self-efficacy and mathematics achievement. However, in elaboration and meta-cognitive strategies, only the initial status of each variable showed the indirect relationship.

Suggestions for Revision of Mathematics Curriculum by Analysis of Current Mechanical Engineering Mathematics (기계공학수학의 현황 분석을 통한 개편안 제시)

  • Kang, Ju Seok;Park, Chan Il
    • Journal of Engineering Education Research
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    • v.20 no.2
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    • pp.50-56
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    • 2017
  • Because all areas of mechanical engineering involves the use of mathematics, mechanical engineers need mathematical understanding and skill enhancement. To achieve the effective mathematics education for mechanical undergraduate students, it should reorganize the important subtopics of mathematics. In this paper, we explore the direction of the development of mathematics education for mechanical engineers by analyzing the teaching hours of each topics in the mathematics and by comparing the results with significance analysis of expert survey. To do so, syllabuses of mathematics courses of the selected mechanical engineering departments were analyzed and the survey responses of professionals in the Korean Society of Mechanical Engineers were also investigated. Finally, the revision of mathematics curriculum in the mechanical engineering was proposed.

Students' Visual Representation of Mathematics

  • Trance, Naci John C.;Marapo, Roger B.;Pornel, Jonny B.
    • Journal of The Korean Association For Science Education
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    • v.32 no.8
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    • pp.1318-1332
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    • 2012
  • This paper takes another approach in assessing students' perception of mathematics. Instead of asking for verbal description of the students' perception of mathematics, we asked the respondents who were all college students to draw their perception of mathematics. This relatively new approach enabled students to take a second look of how they perceived math and, at the same time, explored students' creativity and provided a less austere appearance to mathematics which was taken usually in a more formal and severe manner. This approach of assessing students' perception of mathematics generated new information that could not be normally gleaned from other approaches like Likert Scale. Some drawings of mathematics of the respondents reinforced their math affect towards mathematics. For those who hated math, their drawings revealed so the same is true with those who loved mathematics. Examining the visual representations of mathematics and looking for commonalities, the researcher found a number of interesting themes that may shed some light to educators' understanding of students' math affect.

Paying Attention to Students and Promoting Students' Mathematics Understanding

  • Li, Miao;Tang, Jian-Lan;Huang, Xiao-Xue
    • Research in Mathematical Education
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    • v.12 no.1
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    • pp.67-83
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    • 2008
  • Promoting students' mathematics understanding is an important research theme in mathematics education. According to general theories of learning, mathematics understanding is close to active learning or significant learning. Thus, if a teacher wants to promote his/her students' mathematics understanding, he/she should pay attention to the students so that the students' thinking is in active situation. In the first part of this paper, some mathematics teachers' ideas about paying attention to their students in Chinese high school are given by questionnaire and interview. In the second part of this paper, we give some teaching episodes about how experienced mathematics teachers promote their students' mathematics understanding based on paying attention on them.

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ABELIAN PROPERTY CONCERNING FACTORIZATION MODULO RADICALS

  • Chae, Dong Hyeon;Choi, Jeong Min;Kim, Dong Hyun;Kim, Jae Eui;Kim, Jae Min;Kim, Tae Hyeong;Lee, Ji Young;Lee, Yang;Lee, You Sun;Noh, Jin Hwan;Ryu, Sung Ju
    • Korean Journal of Mathematics
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    • v.24 no.4
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    • pp.737-750
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    • 2016
  • In this note we describe some classes of rings in relation to Abelian property of factorizations by nilradicals and Jacobson radical. The ring theoretical structures are investigated for various sorts of such factor rings which occur in the process.

A Study on Influential Factors in Mathematics Modeling Academic Achievement

  • Li, Mingzhen;Pang, Kun;Yu, Ping
    • Research in Mathematical Education
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    • v.13 no.1
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    • pp.31-48
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    • 2009
  • Utilizing the path analysis method, the study explores the relationships among the influential factors in mathematics modeling academic achievement. The following conclusions are drawn: 1. Achievement motivation, creative inclination, cognitive style, the mathematical cognitive structure and mathematics modeling self-monitoring ability, those have significant correlation with mathematics modeling academic achievement; 2. Mathematical cognitive structure and mathematics modeling self-monitoring ability have significant and regressive effect on mathematics modeling academic achievement, and two factors can explain 55.8% variations of mathematics modeling academic achievement; 3. Achievement motivation, creative inclination, cognitive style, mathematical cognitive structure have significant and regressive effect on mathematics modeling self-monitoring ability, and four factors can explain 70.1% variations of mathematics modeling self-monitoring ability; 4. Achievement motivation, creative inclination, and cognitive style have significant and regressive effect on mathematical cognitive structure, and three factors can explain 40.9% variations of mathematical cognitive structure.

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Fundamental ideas in Mathematics Education and Using History of Mathematics (수학교육에서의 '기본개념'과 수학사의 접목 -평균값의 예를 통해서 본 수업 모형-)

  • 한경혜
    • Journal for History of Mathematics
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    • v.17 no.3
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    • pp.73-92
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    • 2004
  • The paper surveys various attempts to use the concept of 'fundamental ideas' -Bruner's concept- as a tool for organizing mathematics teaching and research in mathematics education. One of the characteristics of fundamental ideas in mathematics is their correspondence to the history of mathematics; therefore in forming out contents and methods in mathematics education, the history of mathematics may be serve as an interesting aspect. It is demonstrated by the example of mean values.

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