• Journal for History of Mathematics
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• v.22 no.1
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• pp.41-52
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• 2009

Dutch mathematician Simon Stevin published De Thiende(The Tenth) in 1583. In that book Stevin suggested new numerical notation which could express all numbers. That new notation was decimal fraction system. In this article I will argue that Stevin invented new decimal fraction system with two main purposes. The explicit purpose was to invent a new system which could be used easily by practical mathematicians. The implicit purpose which cannot be found in De Thiende alone but in his other writings was to break the Aristotelian tradition which separated geometry and arithmetic which dealt continuous magnitude and discrete numbers respectively.

• The Journal of the Convergence on Culture Technology
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• v.10 no.4
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• pp.285-294
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• 2024

This study aims to enhance learners' creative and integrative thinking through the use of a practical music education program, facilitating high-quality artistic activities and the integration of various disciplines. To achieve this, a practical music education program incorporating the PDIE model was designed, and the content validity of the developed program was verified. Through this process, We have researched and described methodologies for multidisciplinary research that can be applied in practical music education. This paper focuses on the fourth session of the study, which deals with the creative and integrative education of practical music and mathematics. The mathematical theory of interest in this research is the Fibonacci sequence, fundamental to the golden ratio in art. The goal is to enable balanced and high-quality creative activities through learning and applying the Fibonacci sequence. Additionally, to verify the validity and effectiveness of the instructional plan, including the one used in the 15-week course, we have detailed the participants involved in the content validation, the procedures of the research, the research tools used, and the methods for collecting and analyzing various data. Through this, We have confirmed the potential of creative and integrative education in higher practical music education and sought to develop educational methodologies for cultivating various creative talents in subsequent research.

• Journal of Astronomy and Space Sciences
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• v.15 no.2
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• pp.485-497
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• 1998

To estimate the availability of the MCE for KOMPSAT I, mathematical models of H/W and S/W availability, the availability estimating methods for parallel and redundant system were presented. Furthermore, to improve and estimate the MCE system availability, we analyzed the computational procedure of redundant methods, and we also included effective switch choosing methods in this paper. The analytical results of the MCE system availability were estimated as follows: - 0.995216 not considering system redundancy, - 0.9955165 considering system redundancy, and -0.9963991 for the time of system real time operation.

• Communications of Mathematical Education
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• v.18 no.1 s.18
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• pp.89-98
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• 2004

한국과 미국(North Carolina주)의 확률과 통계 교육 내용을 고찰한 결과 한국과 미국(North Carolina주)은 내용적인 면에서 많은 차이를 보였다. 한국의 경우, 9-가 단계와 10-가 단계, 선택과목 중 수학 I, 실용수학, 이산수학 과목에 제시되어 있는 확률과 통계 영역은 심화선택과목인 확률과 통계 과목의 내용을 축소하여 재구성한 내용을 제시하고 있다. 미국(North Carolina주)은 한국과는 달리, Introductory Mathematics, Algebra(I, II), Technical Mathematics(1, 2) Advanced Mathematics, Advanced Placement Calculus, Discrete Mathematics, Integrated Mathematics(1, 2, 3), Geometry 과목에서 확률과 통계 영역은 각 과목과 연관성 있는 내용으로 구성되어 있다. 한국의 심화 선택과목인 확률과 통계 과목과 미국(North Carolina주)의 AP통계(Advanced Placement Statistics)를 비교한 결과, 전체적으로, 자료의 정리, 확률변수와 확률분포 영역에서 한국과 미국(North Carolina주)은 거의 유사성을 보이고 있지만, 통계적 추론에서는 미국(North Carolina주)이 한국에 비하여 강화되어 있음을 알 수 있다.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.1
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• pp.63-81
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• 2014

Korean students have shown high achievements on the cognitive domain of mathematics in a range of international assessment tests. On the affective domain, however, significantly low achievements have been reported. Among the factors in the affective domain, this article discusses on the value of mathematics in the perspective of Michael Polanyi's philosophy, which centers personal knowledge and tacit knowing. Polanyi emphasizes abstractness and generalization in mathematics accompanied by intellectual beauty and passion. In his perspective, therefore, utilitarian aspects and usefulness of mathematics imparted through linguistic representations have limits in motivating students to learn mathematics. Students must be motivated from recognition of the value of mathematics formed through participating authentic mathematical problem solving activity with immersion, tension, confusion, passion, joy and the like.

• Education of Primary School Mathematics
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• v.14 no.3
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• pp.277-291
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• 2011

It is necessary for the teacher to understand why teach mathematics in order to implement the visions and expectations of the national mathematics curriculum in her actual classroom. This study conducted a survey of examining how elementary school teachers might understand the purpose of teaching mathematics. The results of this study showed that teachers' conceptions of the purpose of teaching mathematics were related mainly to the development of logical thinking, practical use of mathematics in everyday life, and a tool for studying other subjects or disciplines. However, teachers did not perceive much other purposes of mathematics education such as understanding the world, appreciating aesthetic value of mathematics, and developing communicative ability as well as sociality. Whereas teachers did not think of the significance of mathematics as an intellectual field when asked to write down how they would explain students why they had to learn mathematics, they tended to strongly agree it in the Likert-scale responses. Teachers' conceptions were not different according to their gender but teachers with less than five years' teaching experience were relatively negative than others with more experience. Given these results, this study provided issues and implications of teachers' conceptions of the purpose of teaching mathematics.

• School Mathematics
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• v.6 no.4
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• pp.313-324
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• 2004

One of the major roots of the value and power of mathematical knowledge is the belief on ‘the Pythagorian-Platonic divine mathematicity of the universe’ and the ‘pre-established harmony between mathematics and physics’. This kind of the nature of mathematical knowledge demands strongly the school mathematics to become a subject for humanity education going beyond the practical usefulness. Here, investigating the roots of the thought of mathematical education, we tried to clarify that the traditional educational ideal which has maintained the theoretical knowledge-centered mathematical education is the education of humanity, and investigate the way today's mathematical pedagogy should first turn to if it should realize this ideal.

• 한국데이터정보과학회:학술대회논문집
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• 2004.10a
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• pp.87-92
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• 2004

본 연구에서는 2003년부터 시행된 일본 고등학교 학습지도요령의 수학과 구성과 성격을 연구하였다. 또한, 교육과정상의 확률통계교육의 구성과 성격 및 편제에 대하여 고찰한 결과, 새 교육과정에 따른 교과위주의 교육과정의 구성과 내용 및 편제의 특징은 통합학습시간 신설로 미국식 주제 교육의 도입, 완전학교 주 5 일제실시, 중고 일관교육, 단위제 고등학교학교 신설, 종합 학교의 설치로 설명된다. 확률통계 교육의 내용과 범위는 과거 교육과정과 크게 달라진 점은 없으나, 7교과 분야 가운데 3 교과 부분에 자료 위주의 실용통계계산 교육과 통계소프트웨어교육 강화가 그 특징이다.

• East Asian mathematical journal
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• v.38 no.2
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• pp.241-256
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• 2022

Practical Mathematics is one of the career elective subjects in the 2015 revised mathematics curriculum for high school. This study examined how well the practical mathematics textbooks reflect the recommendations and visions suggested by related professions and organizations with respect to career preparation, especially for students enrolling in engineering industry-focused specialized high schools. Also, this study looked more closely into the contents of practical mathematics in terms of the consistency among different textbooks and the advancement from middle school contents in similar domains.

• Journal of the Korean School Mathematics Society
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• v.11 no.1
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• pp.117-132
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• 2008

This paper has analyzed the problem of the inequality unit in 7th National curriculum 8-Ga stage from the following points. First, in respect to the written questions of the inequality unit over every textbook of 7th National curriculum, how are they allocated according to subject matters and what are their weak points? Second. how many of them are related to the authentic daily life or other subjects and what kind of subjects are they? Third, what are the problems related to the authentic daily life situation or what are the problems that have some inter-sentential errors, and what kinds of measures for their improvement can be taken? In keeping with view points above, we have analyzed the contents in current 16 different textbooks on th basis of their subject matters and especially put the emphasis on the relation to daily life and other subjects. Consequently, we found there are many textbooks that do not include various subject matters and that can not be related to various other subjects. It is necessary to connect mathematics to various daily life matters and other subjects to improve students' creativity and to make students understand the practicality of mathematics.