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REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
> Journal Vol & Issue
Journal for History of Mathematics
Journal Basic Information
Journal DOI :
The Korean Society for History of Mathematics
Editor in Chief :
Volume & Issues
Volume 24, Issue 4 - Nov 2011
Volume 24, Issue 3 - Aug 2011
Volume 24, Issue 2 - May 2011
Volume 24, Issue 1 - Feb 2011
Selecting the target year
Approximate Approaches in Chinese and Chosun Mathematics
Chang, Hye-Won ;
Journal for History of Mathematics, volume 24, issue 2, 2011, Pages 1~15
Approximation is a very useful approach in mathematics research. It was the same in traditional Chinese and Chosun mathematics. This study derived five characteristics from approximation approaches which were found in Chinese and Chosun mathematical books: improvement of approximate values, common and inevitable use of approximate values, recognition of approximate values and their reasons, comparison of their exactness, application of approximate principles. Through these characteristics, we can infer what Chinese and Chosun mathematicians recognized approximate values and how they manipulated them. They took approximate approaches by necessity or for the sake of convenience in mathematical study and its applications. Also, they tried to improve the degree of exactness of approximate values and use the inverse calculations to check them.
A Study on the Characteristic of Formation of Cavalier's Principle
Park, Sun-Yong ;
Journal for History of Mathematics, volume 24, issue 2, 2011, Pages 17~30
This study inquires into the change between two method of indivisibles, which Cavalier suggested. To cope with the objection of use of indivisibles, he modified his first method of indivisibles. Through the analysis of this transition, this study reveals the feature that Cavalier changed into reflecting the density of the figures so as to avoid the paradox related to the indivisibles and this change has the aspect of incomplete lemma-incorporation method according to Lakatos' theory.
About the Euclid's book on divisions of figures
Do, Jong-Hoon ;
Journal for History of Mathematics, volume 24, issue 2, 2011, Pages 31~46
]n divisions of figures(
is one of the works written by Euclid, but little known to us. In this paper, we introduce this Euclid's book on divisions of figures with its brief history, analyse its contents, and discuss how to use it in mathematics education.
A study on mathematical models describing population changes of biological species
Shim, Seong-A ;
Journal for History of Mathematics, volume 24, issue 2, 2011, Pages 47~59
Various mathematical models have been widely studied recently in both fields of mathematics and ecology since they help us understand the dynamical process of population changes in biological species living in a certain habitat and give useful predictions. The world population model proposed by Malthus, a British economist, in his work 'An Essay on the Principle of Population' published in the period of 1789~1826 is one of the early mathematical models on population changes. Malthus' models and the carrying capacity models of Verhulst in 1845 were based on exponential type functions. The independent research field of mathematical ecology has been started from Lotka's works in 1920's. Since then various different mathematical models has been proposed and examined. This article mainly deals with single species population change models expressed in terms of ordinary differential equations.
A Historical Note on Riemann's life and Achievement
Han, Cil-Jun ;
Journal for History of Mathematics, volume 24, issue 2, 2011, Pages 61~70
Bernhard Riemann(1826-1866) is one of the best researchers in almost all branches of mathematics including analysis, geometry, number theory, topology and mathematical physics. In this paper, we survey the Riemann's life and achievements. In addition, we introduce the Riemann's equation.
A Study of the mathematics education of F. Klein
Kang, Hyun-Young ;
Journal for History of Mathematics, volume 24, issue 2, 2011, Pages 71~89
This article discusses and reviews the mathematics education of F. Klein who had a leading role in the reform movement of mathematics education from the late 19th century. We are mainly investigated the 'Erlanger Antrittsrede' in 1872 that showed Klein's view on early mathematics education and the 'Meraner Lehrplan f
r Mathematik' in 1905 that Widely known, the basis of the curriculum of modern mathematics education. Based on this, We discusses the educational implications-the purpose and methods of mathematics education, teacher education and so on.
A Study on the History of Mathematics Education of China
Jeon, Young-Ju ;
Journal for History of Mathematics, volume 24, issue 2, 2011, Pages 91~108
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.