• Title/Summary/Keyword: History of Asian Mathematics

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Pedagogical Approach of the Nine Chapters on the Mathematical Art and Nam Byung Gil's GuJangSulHae (<구장산술九章算術>과 남병길의 <구장술해九章術解>의 교육적 활용 방안)

  • Jung, Hae-Nam
    • Education of Primary School Mathematics
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    • v.14 no.2
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    • pp.103-116
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    • 2011
  • 'The nine chapters on the mathematical art' has dominated the history of Chinese mathematics. It contains 246 problems and their solutions, which fall into nine categories that are firmly based on practical needs. But it has been greatly by improved by the commentary given Liu Hui and it was transformed from arithmetic text to mathematics. The improved book served as important textbook in China but also the East Asian countries for the past 2000 years. Also It is comparable in significance to Euclid's Elements in the West. In the middle of 19th century, Chosun mathematicians Nam Byung Gil(南秉吉) and Lee Sang Hyuk(李尙爀) studied mathematical structures developed in Song(宋) and Yuan(元) eras on top of their early on 'The nine chapters' and 'ShuLiJingYun(數理精蘊)'. Their studies gave rise to a momentum for a prominent development of Choson mathematics in the century. Nam Byung Gil is also commentator on 'The Nine Chapters'. His commentary is 'GuJangSulHae(九章術解)'. This book provides figures and explanations of how the algorithms work. These are very helpful for prospective elementary teachers. We try to plan programs of elementary teacher education on the basis of 'The Nine Chapters' and 'GuJangSulHae'.

Historical Considerations of Finding the Volume of a Pyramid (각뿔의 부피 구하기에 대한 수학사적 고찰)

  • Chung, Young Woo;Kim, Boo Yoon
    • East Asian mathematical journal
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    • v.33 no.2
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    • pp.149-175
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    • 2017
  • The effort to find the volume of pyramids has been done by mathematicians for a long time, and many trial-and-error calculations and proofs give various perspectives and educational material. In the early days, finding the volume of pyramids was mainly studied by calculating the volume of triangular pyramids or quadrangular pyramids by cutting and the relationship between pyramids. Thereafter, methods based on infinite, infinitesimal, limit, etc. appeared, but the research topic was still about them. The purpose of this study is to examine the four themes appearing the mathematics history in terms of methodology, and to think about its implications from the viewpoint of improving the professionalism of the teachers.

Understanding of Gujang in the Gujang-Mundab of Ju-Seo-Gwan-Gyeon (<주서관견(籌書管見)>의 구장문답(九章問答)에서의 구장(九章)에 대한 이해)

  • Huh, Nan
    • East Asian mathematical journal
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    • v.37 no.4
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    • pp.427-441
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    • 2021
  • Ju-Seo-Gwan-Gyeon is a mathematical book of Chosun dynasty by Jo Tae Gu. This study is to analyze his understanding for the 'Gujang' in the 'Gujang-Mundab'. From this study, we were able to see the contents of 'Gujang-Mundab' that has been unknown in detail so far. In this study, the following facts are found. Most parts of 'Gujang' in 'Gujang-Mundab' was explained the same as Gu-Jang-San-Sul. This indicates that Ju-Seo-Gwan-Gyeon was influenced by Gu-Jang-San-Sul. However, Ju-Seo-Gwan-Gyeon also contains what he wrote with his own understanding. We expect that the results provide basic information for mathematics history in Korea.

Score Based Risk Assessment of Lung Cancer and its Evaluation for Bangladeshi People

  • Mukti, Roushney Fatima;Samadder, Pratul Dipta;Emran, Abdullah Al;Ahmed, Farzana;Imran, Iqbal Bin;Malaker, Anyanna;Yeasmin, Sabina
    • Asian Pacific Journal of Cancer Prevention
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    • v.15 no.17
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    • pp.7021-7027
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    • 2014
  • Background: The problem of cancer, especially lung cancer, is very acute in Bangladesh. The present study was conducted to evaluate the risk of lung cancer among Bangladeshi people based on hereditary, socio-economic and demographic factors. Materials and Methods: This study was carried out in 208 people (patients-104, controls-104) from January 2012 to September 2013 using a structured questionnaire containing details of lung cancer risk factors including smoking, secondhand smoke, tobacco leaf intake, age, gender, family history, chronic lung diseases, radiotherapy in the chest area, diet, obesity, physical activity, alcohol consumption, occupation, education, and income. Descriptive statistics and testing of hypotheses were used for the analysis using SPSS software (version 20). Results: According to this study, lung cancer was more prevalent in males than females. Smoking was the highest risk factor (OR=9.707; RR=3.924; sensitivity=0.8872 and P<0.0001) followed by previous lung disease (asthma, tuberculosis etc.) (OR=7.095; RR=1.508; sensitivity=0.316 and P<0.0001)) for male patients. Highly cooked food (OR=2.485; RR=1.126; sensitivity=0.418 and P=0.004)) and also genetic inheritance (OR=1.93; RR=1.335; sensitivity=0.163 and P=0.138) demonstrated significant correlation with lung cancer as risk factors after these two and alcohol consumption was not prevalent. On the other hand, for female patients, tobacco leaf intake represented the highest risk (OR=2.00; RR=1.429; sensitivity= 0.667 and P=0.5603) while genetic inheritance and highly cooked food also correlate with lung cancer but not so significantly. Socioeconomic status and education level also play important roles in causing lung cancer. Some 78.5% male and 83.3% of female cancer patients were rural residents, while 58.2% lived at the margin or below the poverty line. Most male (39.8%) and female (50.0%) patients had completed only primary level education, and 27.6% male and 33.3% female patients were illiterate. Smoking was found to be more prevalent among the less educated persons. Conclusions: The results obtained in this study indicate the importance of creating awareness about lung cancer risk factors among Bangladeshi people and making appropriate access to health services for the illiterate, poor, rural people.