• Communications of Mathematical Education
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• v.33 no.4
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• pp.445-453
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• 2019

Gender might be interpreted in different roles and meanings depending on social and cultural backgrounds. Based on the premise that understanding of gender may change the direction of mathematics education, this paper confirmed how gender is interpreted in the preceding study of mathematics education in Korea by applying the literature research method. In particular, predictive model based on empirical perspective and gender schema model based on constructivist perspective. Based on the analysis of gender and research methods in cultural and historical composition models based on historical perspectives and postmodernism models based on postmodernism perspectives, this study analyzed trends in domestic mathematics education. As a result of the analysis, it is confirmed that gender is recognized as a biological difference in domestic mathematics education, and that analysis of gender and related elements of mathematics education is mainly used using statistical analysis techniques. This suggests that various approaches to interpreting gender's role in future mathematics education are needed. The existing mathematics education research on gender is composed in terms of gender differences. Since biology at the time did not explain this difference, however, it should now be based on the concept of gender, which is socially defined gender. Accurate understanding of gender and gender can be the basis for clearer understanding and interpretation of gender-related mathematics research.

• Communications of Mathematical Education
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• v.11
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• pp.321-338
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• 2001

수학의 역사에 비하여 수학교육에 관한 연구는 비교적 짧다. 1960년대에 미국과 소련의 우주과학 경쟁이 시작되고 수학교육이 관심을 갖게 되었다. 이 후 전문 학회와 논문지가 출현하기 시작하면서 학문적으로 연구되고 발전하기 시작하였다. 한편 대학 수준의 수학교육에 관한 전문적인 연구는 뒤늦게 1990년대에 시작하였다. 한편 한국의 대학 수학교육은 현재 크게 변화하고 동요하고 있다. 대중화된 대학 교육, 수학 수강생 감소, 대학 수학교육의 개선, 7차 및 중등 교육과정 문제 대학으로 전이, 정보기술의 발전 및 활용 등으로 복잡하게 전개되고 있다. 수학교육 연구의 목적, 문제, 방법, 타당성 기준, 결과의 가치, 교육 개선 응용 등의 학문적 성격이 수학 연구와 크게 다르다. 대학 수학교육에서 새롭게 나타나고 부각되는 문제를 효과적으로 접근하기 위한 연구 방향을 제시한다. 그리고 뇌 과학과 인지 과학 연구에 바탕을 둔 실제 학습 모형에 응용할 수 있는 대학 수학 학습 이론을 소개한다.

• Journal for History of Mathematics
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• v.18 no.4
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• pp.85-100
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• 2005

In recent papers (Pak et al., Pak and Kim), it was suggested to positively use the history of mathematics for the education of mathematics and discussed the determining problem of the order of instruction in mathematics. There are three kinds of order of instruction - historical order, theoretical organization, lecturing organization. Lecturing organization order is a combination of historical order and theoretical organization order. It basically depends on his or her own value of education of each teacher. The present paper considers a concrete problem determining the order of instruction for the concept of angle. Since the concept of angle is defined in relation to figures, we have to solve the determining problem of the order of instruction for the concept of figure. In order to do this, we first investigate a historical order of the concept of figure by reviewing it in the history of mathematics. And then we introduce a theoretical organization order of the concept of figure. From these basic data we establish a lecturing organization order of the concept of figure from the viewpoint of problem-solving. According to this order we finally develop the concept of angle and a related global property which leads to the so-called Gauss-Bonnet theorem.

• Journal for History of Mathematics
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• v.17 no.2
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• pp.33-52
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• 2004

The paper is analyzed the mathematics curriculum of Korea and the philosophy of the mathematics education in the history of mathematics education. We have found that the various philosophy of Western mathematics education have led us to various views of the mathematics curriculum of Korea. This change of the mathematics curriculum in Korea have important implications to the didactics of mathematics. This study tried to find out the direction of outlook on the mathematics education in the future.

• Journal for History of Mathematics
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• v.18 no.4
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• pp.17-28
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• 2005

This paper aims to introduce a function and a role of history and philosophy of mathematics. Through historical examples it shows that history and philosophy of mathematics have the function to evaluate mathematics and the role to form it.

• Journal of Educational Research in Mathematics
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• v.16 no.4
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• pp.297-312
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• 2006

As research on the instruction method of the concept of irrational numbers, this thesis is theoretically based on the Freudenthal's Mathematising Instruction Theory and a conducted case study in order to find an introduction method of irrational numbers. The purpose of this research is to provide practical information about the instruction method ?f irrational numbers. For this, research questions have been chosen as follows: 1. What is the introducing method of irrational numbers based on the Freudenthal's Mathematising Instruction Theory? 2 What are the Characteristics of the teaming process shown in class using introducing instruction of irrational numbers based on the Freudenthal's Mathematising Instruction? For questions 1 and 2, we conducted literature review and case study respectively For the case study, we, as participant observers, videotaped and transcribed the course of classes, collected data such as reports of students' learning activities, information gathered through interviews, and field notes. The result was analyzed from three viewpoints such as the characteristics of problems, the application of mathematical means, and the development levels of irrational numbers concept.

• Journal of Educational Research in Mathematics
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• v.18 no.2
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• pp.223-237
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• 2008

In this paper, We focus on grasping De Morgan's perspectives on mathematics education systematically. His perspectives can be summarized as followings. First, historico-genesis of mathematics must be considered in the teaching and learning of mathematics. Second, mathematical conception of students must be formulated progressively. Third, it is important to use errors which come out continually in the process of passing from inductive stage to deductive stage. Fourth, personal knowledge of students is important in the teaching and learning of mathematics. These De Morgan's four perspectives are the way of approach for experiencing moral certainty first of all to get to mathematical certainty. Moral certainty which he presented is a combination of rationality and humanity to fill up gaps between Platonism and general public education.

• Journal for History of Mathematics
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• v.25 no.4
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• pp.37-51
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• 2012

By comparing the development history of rectangular coordinate system in Cartography and Mathematics, we assert in this manuscript that the rectangular coordinate system is not so much related to analytic geometry but comes from the space perceiving ability inherent in human beings. We arrived at this conclusion by the followings: First, although the Cartography have much influenced to various area of Mathematics such as trigonometry, logarithm, Geometry, Calculus, Statistics, and so on, which were developed or progressed around the advent of analytic geometry, the mathematical coordinate system itself had not been completely developed in using the origin or negative axis until 100 years and more had passed since Descartes' publication. Second, almost mathematicians who contributed to the invention of rectangular coordinate system had not focused their studying on rectangular coordinate system instead they used it freely on solving mathematical problem.

• Journal for History of Mathematics
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• v.24 no.4
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• pp.143-155
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• 2011

The discriminant is one of the important concepts in school mathematics according to second degree polynomials. In this paper we survey the history of development to discriminant of any higher degree polynomials and investigate how the discriminant works for determining the graph of polynomials.

• The Science & Technology
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• v.32 no.1 s.356
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• pp.80-81
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• 1999

고3때 인문계에서 자연계로 대입 진학계열을 바꾼 이후 수학을 혼자 공부하면서 수학에 흥미를 갖게 되었다는 건국대 금종해교수는 수학분야중 비교적 역사가 짧은 대수기하학분야 신진학자들의 리더 역할을 하는 주목받는 수학자이다. 금교수는 K3곡면의 대창성에 관한 연구를 집중적으로 연구하고 있는데 97년에는 K3곡면의 일종인 Kummer 곡면의 대칭군에 관한 연구를 권위있는 해외학술지에 발표하여 관심으로 모으기도 했다.