• Journal of the Korean School Mathematics Society
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• v.14 no.4
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• pp.443-458
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• 2011

There has been a lively discussion on improving Korean students' academic achievement and the imbalance in their recognition of the value of mathematics. In this context, there is a need for a program that enables the majority students who regards mathematics as a subject for the entrance examination to recognize the practicality and historicity of mathematics. Educational books on mathematics in everyday life or the history of mathematics are also expected to serve as an effective tool. In addition, Web 2.0 Map is another means of representing mathematics in everyday life and the history of mathematics in connection with the practical context. The active storytelling process in which mathematics in the practical context in mathematical educational books is represented in Web 2.0 Map is expected to help to understand in depth the practicality and historicity of mathematics. Nevertheless, mathematical educational books and Web 2.0 Map may lead to a considerable variety of outcomes and speeds if carrying out tasks depending on the student's competence and may have practical difficulties in being operated in class. These concerns, however, can be resolved through the creative activity programs adopted in conformance with the 2009 revised curriculum. Therefore, this study intends to develop a program for creating mathematical story maps through mathematical educational books and the Mashup of Web 2.0 Map in accordance with the process of developing activity programs. This study also intends to determine its effectiveness in enabling students to recognize the practical and historical values of mathematics.

• Journal for History of Mathematics
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• v.29 no.3
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• pp.173-190
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• 2016

Luca Pacioli was a Franciscan friar, a prolific writer, a devoted teacher, a mathematician and a close friend of Leonardo da Vinci. He is also known to be the"father of accounting". He is best remembered for his two books on mathematics: "Summa de Arithmetica Geometria Proportioni et Proportionalita" and "De divina proportione". These two books, which were printed in the field of mathematics for the first time by using Gutenberg's printing technology, contributed to the development of mathematics in Europe. In this paper, we investigate various aspects of his life and mathematical contribution of Pacioli based on these two books.

• Journal of the Korean Mathematical Society
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• v.61 no.1
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• pp.1-28
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• 2024

In this article, we associate a contact structure to the conjugacy class of a periodic surface homeomorphism, encoded by a combinatorial tuple of integers called a marked data set. In particular, we prove that infinite families of these data sets give rise to Stein fillable contact structures with associated monodromies that do not factor into products to positive Dehn twists. In addition to the above, we give explicit constructions of symplectic fillings for rational open books analogous to Mori's construction for honest open books. We also prove a sufficient condition for the Stein fillability of rational open books analogous to the positivity of monodromy for honest open books due to Giroux and Loi-Piergallini.

• Journal for History of Mathematics
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• v.33 no.4
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• pp.181-222
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• 2020

《Xiangming Suanfa》 is a mathematics text published in 1373. The preface and postscript of the block books 《Xiangming Suanfa》 in the Joseon Dynasty were published as they had been in the original text from China. It can be considered to be based on 《Xiangming Suanfa》 was published in Mingjingtang. The five different block books which is published in Korea, possessed in Yonsei University Library, Sanghuh Memorial Library of Konkuk University and the National Library of Korea, were compared. Through recension-correction of the text, this thesis is intended to help researchers in utilizing the research by providing fine print.

• Journal of the Korean School Mathematics Society
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• v.2 no.1
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• pp.207-218
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• 1999

The purpose of this thesis is to help the teachers in school to widen the knowledge and to understand the North Korean society by comparative analysis of South and North Korean elementary school's mathematics education process and text books. It is needless to say that we need to have more knowledge and understanding about North Korea as the international and national situation is changing so rapidly these days. One of the most effective ways to understand North Korea is to understand their education. So, 1 wrote this thesis as a way of getting ready for the united Korea by knowing mathematics texts and their system, composition, contents of elementary school in North Korea If this little try is going to be a help in anyway, I will try to do a better study in future.

• School Mathematics
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• v.8 no.1
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• pp.69-88
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• 2006

It is well known that the low achievement students are easily affected by the ways how the materials are organized and presented. So the studies on trying to find how those students' responses are differed according to the organization or presentation of the materials are necessary. This paper was based on the results of Korean Elementary 3 Grade Students National Diagnosis Assessment on Basic Scholastic Ability in area of mathematics. We analyzed students responses through combining the percents of correct answers with the assessment items. After that, we identified the properties of low achievement students in mathematics and presented some guides which, we thought, are helpful for improvements of mathematics textbooks and teacher guide books.

• Journal for History of Mathematics
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• v.16 no.1
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• pp.9-16
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• 2003

This paper aims to investigate how Chinese and Korean evaluate $\pi$ and measure tile area of circle by reviewing the problems in the old mathematical books. The books are Gu-Jang-San-Sul(The nine chapters on tile mathematical art) for China and Gu-Il-Jib for Chosun Dynasty. The result shows that our ancestors used the different values of ${\pi}$ in relation to the accuracy and the various methods for measuring the area of circle.

• School Mathematics
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• v.6 no.4
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• pp.345-359
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• 2004

Many researchers have studied students' error patterns in learning mathematics but the results haven't much effected on teaching situation. This paper is to find out how the results have been reflected on 6th and 7th Korean elementary school mathematics textbooks, workbooks, and teachers' guide books. The focuses of analysis are the four; (a)Type of materials, (b)Type of problems, (c)Type of errors and number of rela- ted problems, and (d)organization and explanation type. Results indicate that both 6th and 7th materials don't use effectively students' error patterns to teach computation, in particular, 7th textbooks scarcely treat them. It suggests that we should grope a way to use the fruitful results of this area to teach mathematics effectively.

• Journal for History of Mathematics
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• v.33 no.1
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• pp.1-19
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• 2020

Under 2009 Revised Mathematics Curriculum and 2015 Revised Mathematics Curriculum, mathematics teachers can help students inductively express real life problems related to sequences but have difficulties in dealing with problems asking the general terms of the sequences defined inductively due to 'Guidelines for Teaching and Learning'. Because most of textbooks mainly deal with the simple calculation for the sums of sequences, students tend to follow them rather than developing their inductive and deductive reasoning through finding patterns in the sequences. In this study, we reconstruct 8 problems to find the sums of sequences in MukSaJipSanBup which is known as one of the oldest mathematics book of Chosun Dynasty, using the terminology and symbols of the current curriculum. Such kind of problems can be given in textbooks and used for teaching and learning. Using problems in mathematical books of Chosun Dynasty with suitable modifications for teaching and learning is a good method which not only help students feel the usefulness of mathematics but also learn the cultural value of our traditional mathematics and have the pride for it.

• Journal of Educational Research in Mathematics
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• v.27 no.3
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• pp.451-467
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• 2017

This study examined how the distributive principles(DP) works in our elementary school textbooks and work books to figure out the implications for developing the elementary mathematics curriculum and textbooks. For this purpose, Chinese and Japanese elementary textbooks were reviewed and five criteria for the analysis of Korean textbooks and workbooks were prepared by the review. The analysis showed that Korean textbooks and work books are inefficient to handle DP in many ways. Based on these findings, this study suggested that the DP should be codified into the curriculum and explicitly dealt with in elementary math textbooks.