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Journal for History of Mathematics
Journal Basic Information
pISSN :
1226-931X
eISSN :
Journal DOI :
10.14477/jhm
Frequency :
Others
Publisher:
The Korean Society for History of Mathematics
Editor in Chief :
Chang-Il Kim
Volume & Issues
Volume 22, Issue 4 - Nov 2009
Volume 22, Issue 3 - Aug 2009
Volume 22, Issue 2 - May 2009
Volume 22, Issue 1 - Feb 2009
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1
The role of Zeno on the infinite of Aristotle
Kang, Dae-Won ; Kim, Kwon-Wook ;
Journal for History of Mathematics, volume 22, issue 1, 2009, Pages 1~24
Abstract
In this paper we have inferred the influence of Zeno on the construction of the potential infinite of Aristotle based on arguments of Zeno's paradoxes. When we examine the potential infinite of Aristotle as the basis of the ancient Greek mathematics, we can see that they did not permit the concept of the actual infinite necessary for calculus. The reason Why they recognized the potential infinite, denying the actual infinite as seen in Aristotle's physics could be found in their attempt to escape the illogicality shown in Zeno's arguments. Accordingly, this paper could provided one of reasons why the ancient Greeks had used uneasy exhaustion's method instead of developing the quadrature involving the limit concept.
2
The Life of Fourier, The minor Lineage of His Younger Scholars and a Theorem of Telyakovskii on
-Convergence
Lee, Jung-Oh ;
Journal for History of Mathematics, volume 22, issue 1, 2009, Pages 25~40
Abstract
This study concerns with John B. Fourier' s life, his teachers, his younger scholars and the
-convergence of Fourier series. First, we introduce the correlation between the French Revolution and Fourier who is significant in the history of mathematics. Second, we investigate Fourier' s teachers, students and a minor lineage of his younger scholars from 19th century to 20th century. Finally, we compare the theorem of Telyakovskii with the theorem of kolmogorov on
-convergence of Fourier series.
3
Simon Stevin's Decimal Fraction System : An Effort for the Unification of Geometry and Arithmetic
Jung, Won ;
Journal for History of Mathematics, volume 22, issue 1, 2009, Pages 41~52
Abstract
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.
4
History of mathematical modeling on the Black-Out Game
Kim, Duk-Sun ; Ryu, Chang-Woo ; Song, Yeong-Moo ; Lee, Sang-Gu ;
Journal for History of Mathematics, volume 22, issue 1, 2009, Pages 53~74
Abstract
Black-out Game(Lightout, Merlin Game,
+Game) is an interesting game on the chessboard, when you click a button with black or white color, it changes color of itself and other buttons who shares edges. With this rule, we win the game when we have a chessboard with all same color after we click some of the buttons of it. Pretty much of research has been made on founding the winnable strategy for this type of game. In this paper, we first introduce a history of mathematical modeling on this game. Then we develop an algorithm to offer a winnable blackout game of any size. Our tools also show our new algorithm works. Finally, we show how we can use this game in mathematics education.
5
On the Analysis
Yoo, Yoon-Jae ;
Journal for History of Mathematics, volume 22, issue 1, 2009, Pages 75~88
Abstract
In this article it is investigated what role analysis play in the reasoning. The author suggests that the mathematical statements should be reformulated so that analysis can be activated in the reasoning.
6
The effect of metacognitive activity using CAS calculator on high school first grade mathematics slow-learners' achievement of Algebra
Kim, In-Kyung ; Lew, Hea-Chan ;
Journal for History of Mathematics, volume 22, issue 1, 2009, Pages 89~110
Abstract
This paper observed the effect of CAS calculator usage while studying algebra on the achievement of low-achievement students. Participants were composed of 70 low-achievement tenth grade students from a high school located in a metropolitan city. That had never used a mathematics educational calculator before. Target participants were divided into two groups: an experiment group that studied activity papers with the aid of a CAS calculator, and a control group that studied the same activity papers using only paper-and-pencil. The content of the activity papers for the two groups was the same, but the structure differed. Content consisted of numbers and operations, equations and inequalities(character and expressions), and functions. Students in the experiment group exhibited matacognition learning using a CAS calculator. The two groups completed mathematics achievement tests both before and after the activity papers. Therefore, ANCOVA analysis results showed that compared to the pretest, results of the experiment group improved considerably more than the control group.
7
On the Mathematics Amended Curriculum and College Scholastic Ability Test(CSAT)
Lee, Jin-Ho ;
Journal for History of Mathematics, volume 22, issue 1, 2009, Pages 111~124
Abstract
In this paper we check over some problems in College Scholastic Ability Test(CSAT) Mathematics section and propose some methods to improve the CSAT Mathematics section. CSAT has been changed several times with the change of the school curriculum. A Mathematics amended curriculum will apply in 2009 and we have to reorganize the system of CSAT. We investigate the changes in school curriculum and system of CSAT. Also we make a comparative study of the range of possible questions of CSAT with those of SAT and foreign national entrance exam for college.