• Journal for History of Mathematics
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• v.27 no.3
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• pp.155-164
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• 2014

Tianyuanshu and Zengcheng Kaifangfa introduced in the Song-Yuan dynasties and their contribution to the theory of equations are one of the most important achievements in the history of Chinese mathematics. Furthermore, they became the most fundamental subject in the history of East Asian mathematics as well. The operations, or the mathematical structure of polynomials have been overlooked by traditional mathematics books. Investigation of GuIlJib (九一集) of Joseon mathematician Hong JeongHa reveals that Hong's approach to polynomials is highly structural. For the expansion of $\prod_{k=11}^{n}(x+a_k)$, Hong invented a new method which we name Hong JeongHa's synthetic expansion. Using this, he reveals that the processes in Zhengcheng Kaifangfa is not synthetic division but synthetic expansion.

• Journal for History of Mathematics
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• v.25 no.4
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• pp.83-99
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• 2012

The conic sections are defined as algebraic expressions using the focus and the directrix in the high school curriculum. However it is difficult that students understand the conic sections without environment which they can manipulate the conic sections. To make up for this weak point, we have found the evidence for generating method of a conic section through a sundial and investigated the history of terms 'focus', 'directrix' and the tool of drawing them continuously.

• Journal for History of Mathematics
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• v.29 no.4
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• pp.233-242
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• 2016

The painter Leon Battista Alberti insisted that mathematics was very important in painting in his famous book "Della Pittura(On Painting)" at 15th century. At the first part of the book, he explained about points, lines, and planes mathematically. And he emphasized that the proportion was very useful for accurate description of objects. This is the perspective that Alberti showed by using visual pyramid. In this paper, we investigate the Alberti' s method and the background of Alberti's perspective.

• Journal for History of Mathematics
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• v.14 no.2
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• pp.125-148
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• 2001

For this purpose, most of all, we thought over the theoretical background for the application of Web-resources to the teaching and learning program at the school mathematics. Second, we looked into the applied class and the class pattern with the internet. And then, we arranged the cases using the internet web materials. The last, we mentioned what the matters of learning based on the web are and what the teacher's roles are.

• Journal for History of Mathematics
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• v.21 no.2
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• pp.103-118
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• 2008

Barcode technology is becoming an essential tool for every companies, and this makes help us to gain time, analysis of goods, an inventory control, a prevention of burglar and so on. In this paper, we have treated about the history of barcode, its error correcting using the check digit, and the present and future of barcode. We wish roles of mathematician on new barcode system which it bring on an economical efficiency and stability.

• Journal for History of Mathematics
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• v.18 no.2
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• pp.95-106
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• 2005

This paper is investigated conception and methodology of data selection, cleaning, integration, transformation, reduction, selection and application of data mining techniques, and model evaluation during procedure of the knowledge discovery in database (KDD) based on Mathematics. Statistical role and methodology in KDD is studied as branch of Mathematics. Also, we investigate the history, mathematical background, important modeling techniques using statistics and information, practical applied field and entire examples of data mining. Also we study the differences between data mining and statistics.

• Journal for History of Mathematics
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• v.27 no.5
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• pp.365-384
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• 2014

The purpose of this study is to assess the changes that occur to pre-service mathematics teachers by using survey on the self-reflection during their education practices. For four weeks of the education practice period, the changes to pre-service teachers are analyzed from teaching and learning perspectives. The teaching perspective is sub-categorized into lesson contents, teaching methods, and evaluation on teaching, and the learning perspective is sub-categorized into monitoring on learning, support for learning and evaluation on learning. The analysis shows that significant changes occur in teaching contents from the teaching perspective and in all the sub-categories from the learning perspective. Based on the analysis, preservice teachers are suggested to utilize self-reflection programs during their education practices to promote their professionalism in teaching.

• Journal for History of Mathematics
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• v.21 no.2
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• pp.91-102
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• 2008

This paper concerns with the roles of mathematics, that is, mathematics as its own roles and importance, and mathematics as the fundamentals of the software related fields. This paper also introduces the corelation between the mathematics and the software-related fields, using diagrams that show the different tracks of credit completion depending on the majors in the software-related fields.

• Journal for History of Mathematics
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• v.16 no.4
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• pp.91-106
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• 2003

We seek the possibility of application of ICT(Information ＆ Communication Technology) to the experience learning in mathematics. Especially we focused on regular polyhedron in the middle school mathematics and on geodesic dome. We investigate related historical tales about the subjects which seem quite helpful of motivating to understand them. Then by using them and by ICT we develop an experience learning program for geodesic dome as an application of regular polyhedron. Through the program we expect that students show positive attitude in mathematical tendency and curiosity about mathematics and that the application of ICT to the experience learning in mathematics is very effective to improve their learning skill in mathematics.

• Journal for History of Mathematics
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• v.20 no.3
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• pp.91-104
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• 2007

In this paper we study the method to estimate weights of the elementary mathematics achievement factors to get reference index which improves elementary mathematics teaching. For it, we discuss not only a synopsis of AHP but also write out pairwise comparison matrix through statistical survey and estimate weights by eigenvector method.