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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 20, Issue 4 - Nov 2007
Volume 20, Issue 3 - Aug 2007
Volume 20, Issue 2 - May 2007
Volume 20, Issue 1 - Feb 2007
Selecting the target year
Gou Gu Shu in the 18th century Chosun
Hong, Sung-Sa ; Hong, Young-Hee ; Kim, Chang-Il ;
Journal for History of Mathematics, volume 20, issue 4, 2007, Pages 1~21
We investigate the Gou Gu Shu(句股術) in Hong Jung Ha's Gu Il Jib(九一集) and Cho Tae Gu's Ju Su Gwan Gyun(籌書管見) published in the early 18th century. Using a structural approach and Tien Yuan Shu(天元術), Hong has obtained the most advanced results on the subject in Asia. Using Cho's result influenced by the western mathematics introduced in the middle of the 17th century, we study a process of a theoretical approach in Chosun mathematics in the period.
조선(朝鮮) 산학(算學)과 사원옥감(四元玉鑑)
Hong, Seong-Sa ; Hong, Yeong-Hui ;
Journal for History of Mathematics, volume 20, issue 4, 2007, Pages 22~22
The Role of Regression in the History of Mathematical Induction and Its Didactical Implications
Park, Sun-Yong ; Chang, Hye-Won ;
Journal for History of Mathematics, volume 20, issue 4, 2007, Pages 23~48
This study begins from posing a problem, 'formal introduction of mathematical induction in school mathematics'. Most students may learn the mathematical induction at the level of instrumental understanding without meaningful understanding about its meaning and structure. To improve this didactical situation, we research on the historical progress of mathematical induction from implicit use in greek mathematics to formalization by Pascal and Fermat. And we identify various types of thinking included in the developmental process: recursion, regression, analytic thinking, synthetic thinking. In special, we focused on the role of regression in mathematical induction, and then from that role we induce the implications for teaching mathematical induction in school mathematics.
Rigidity of surfaces
Kim, Ho-Bum ;
Journal for History of Mathematics, volume 20, issue 4, 2007, Pages 49~60
In this article, the concept of rigidity of smooth surfaces in the three dimensional Euclidean space which naturally arises in elementary geometry is introduced, and the natural process of the development of rigidity theory for compact surfaces and its generalizations are investigated.
The Origin of Combinatorics
Ree, Sang-Wook ; Koh, Young-Mee ;
Journal for History of Mathematics, volume 20, issue 4, 2007, Pages 61~70
Combinatorics, often called the 21 st century mathematics, has turned out a very important subject for the present information era. Modern combinatorics has started from some mathematical works, for example, Pascal's triangle and the binomial coefficients, and Euler's problems on the partitions of integers and Konigsberg's bridge problem, and so on. In this paper, we investigate the origin of combinatorics by looking over some interesting ancient combinatorial problems and some important problems which have started various subfields of combinatorics. We also discuss a little on the role of combinatorics in mathematics and mathematics education.
On the historical investigation of Bernoulli and Euler numbers associated with Riemann zeta functions
Kim, Tae-Kyun ; Jang, Lee-Chae ;
Journal for History of Mathematics, volume 20, issue 4, 2007, Pages 71~84
J. Bernoulli first discovered the method which one can produce those formulae for the sum
for any natural numbers k. After then, there has been increasing interest in Bernoulli and Euler numbers associated with Riemann zeta functions. Recently, Kim have been studied extended q-Bernoulli numbers and q-Euler numbers associated with p-adic q-integral on
, and sums of powers of consecutive q-integers, etc. In this paper, we investigate for the historical background and evolution process of the sums of powers of consecutive q-integers and discuss for Euler zeta functions subjects which are studying related to these areas in the recent.
History of morden geometry
Park, Ki-Sung ;
Journal for History of Mathematics, volume 20, issue 4, 2007, Pages 85~92
In this paper We study Some history and development of Geometry from the early 19th century to the late 20th century.
The Main Stream of Mathematical Modeling of a Suspension Bridge
Nam, Hye-Won ;
Journal for History of Mathematics, volume 20, issue 4, 2007, Pages 93~104
It is well known that a suspension bridge may display certain oscillations under external aerodynamic forces. Under the action of a strong wind, in particular, a narrow and very flexible suspension bridge can undergo dangerous oscillations. The collapse of the Tacoma Narrows suspension bridge caused by a wind blowing at a speed of 42 miles per hour, is one of the most striking examples. In this paper, we study models describing oscillations in suspension bridges and known results.
An Analysis of Studies on
Han, In-Ki ;
Journal for History of Mathematics, volume 20, issue 4, 2007, Pages 105~122
In this paper we analyze various studies on
inequality(from a point O inside a given triangle ABC the perpendiculars OP, OQ, OR are drawn to its sides, then OA+OB+OC
2(OP+OQ+OR)). We find out three trends of studies on
inequality: studies on various proof methods, studies on related means, studies on
The Study of the Cooperative Learning Model in Mathematics during the 20th Century at Home and abroad
Seo, Jong-Jin ;
Journal for History of Mathematics, volume 20, issue 4, 2007, Pages 123~152
This study researched on Cooperative learning. The contents of this study as follows; Especially, first, this studies researched theoretical background for cooperative learning, factor for effects of cooperative learning, features and effects on a model of cooperative learning. second, this studies researched the need of cooperative learning on mathematics, several conditions to succeed cooperative learning on mathematics, the models mainly using cooperative learning on mathematics, and this model was investigated an effects of mathematics learning.
Historical investigation in the concept of function as integrated concept
Kang, Hyun-Young ;
Journal for History of Mathematics, volume 20, issue 4, 2007, Pages 153~174
The concept of Function is not just a single concept but an integrated concept that includes various mathematic topics such as arithmetics, geometry and so on. Therefore, the concept of function is the basic principal underlying mathematics. Moreover, we should think of function as conceptual expedient for understanding the phenomena in the variously changing real world. Therefore in this article, I would like to consider the concept of an integrated function through historical investigation. Especially, from the middle ages to the 19th century, representation which related to the function has been evolved, and therefore, I will consider function as an integrated concept through changing the concept of function.
De Morgan's Thoughts and Pedagogics of Mathematics Education
Son, Hong-Chan ; Ko, Ho-Kyoung ;
Journal for History of Mathematics, volume 20, issue 4, 2007, Pages 175~190
In the nineteenth century was Augustus De Morgan, British mathematician, a great mathematics teacher. Although his name is well known to everybody who is interested in set theory, his major mathematical legacy would arise from his novel research in logic. In this article, we first investigate De Morgan's life briefly; we then consider his precious philosophy of mathematics education based on his students' remarks and his works. Finally, by considering his teaching style, we highlight some of the ingredients that go into making a great mathematics teacher.