• Journal for History of Mathematics
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• v.24 no.4
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• pp.181-200
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• 2011

The focus of gifted education program for math should not only be on how to select gifted students but also on how to magnify students' potential ability. This thesis supports Vygotsky's view, which provides an insight into gifted education field as an 'acquired giftedness' theory. The issues in this thesis suggest proper classroom models for current gifted education program together with moderate classroom atmosphere and optimum role of teachers.

• Communications of Mathematical Education
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• v.18 no.3 s.20
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• pp.1-21
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• 2004

중국의 수학교육에서는 두 가지 기본, 즉 기본지식과 기본기술을 주창하는 전통이 있다. 이러한 전통의 직접적인 결과는, 중국 학생들이 국제수학시험(예를 들어 1989년도의 IAEP)에서 뛰어난 성적을 거둘 수 있는 능력을 갖추거나 국제수학올림피아드(IMO)에서 빼어난 성적을 거두는 것으로 나타난다. 우리는 이 강연에서, 중국 교사들이 "두 가지 기본"을 왜 그리고 어떻게 가르치는가와, 그들의 "두 가지 기본"을 학생의 창의성과 어떻게 결합시키는가를 보일 것이다. 개방형 문제해결 기법은 그러한 목적을 달성하기위한 한 가지 방법이다. 이 강연에서 생각할 주제들은 다음과 같다. 문화적 배경; 계산속도; "연습이 완전함을 만든다"라는 가설; 교실에서의 효율성; "두 가지 기본"과 개인적 성장 사이의 균형. 특히, 중국의 수학 교육자는 개방형 문제해결 기법과 "두 가지 기본" 초석 사이의 연결성에 더 많은 주의를 기울이고 있다.

• Education of Primary School Mathematics
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• v.21 no.3
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• pp.261-272
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• 2018

In the current era of mathematics education, constructivism is a core theory of learning. For teachers, understanding and applying constructivism to their teaching practices are crucial for student centered teaching. However, some mathematics educators understand Constructivism in a different way. For example, some future teachers view Constructivism as making mathematics 'fun' by creating game without considering conceptual understanding. In this paper, the original articles of Constructivism were revisited and investigated to understand and to search for their meanings. Also several types and sources of Constructivism were identified; Radical Constructivism, Vygotsky's social-cultural theory of development, Social Constructionism, and Social Constructivism. This paper investigated arguments of the several types of Constructivism and discussed their implications for mathematics teaching.

• Journal for History of Mathematics
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• v.20 no.2
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• pp.33-46
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• 2007

In this Paper the change of trends over historical research of mathematics, that has been developed since 1970, is inquired. Most of all it deals with the controversy concerning so-called 'geometrical algebra'. It covers the contents of Euclid' work II. And the relation of the controversy with the change of direction over historical research of mathematics is examined.

• Journal for History of Mathematics
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• v.18 no.4
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• pp.67-84
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• 2005

In this paper, We make mathematics be more interesting and have students participate in class actively through studying the cultural value of mathematics and the ethnic custom mathematics. For studying probability of the usage of Wooden Die for Drinking Game as ethnic custom mathematics which was used in the United Shilla. We study how to apply our methods to our current school curriculum

• The Korean Publising Journal, Monthly
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• s.243
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• pp.22-23
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• 1998

나는 지금까지 공저를 포함해 100여권의 책을 냈다. 수학자로서의 상당히 많은 양이다. 이토록 책을 많이 쓴 것은 특별한 야심이 있어서가 아니다. 처음 출간한 책을 지금 읽어보면 부끄러울 지경이다. 그러나 그런 비위가 없었다면 단 한권의 책도 쓰지 못했을 것이다.

• Communications of Mathematical Education
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• v.36 no.1
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• pp.171-199
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• 2022

In this study, we review contents to supplement the descriptions of the history of mathematics in the 2015 mathematics textbooks and teacher guides for the elementary school level and offer our opinion on them. For this purpose, we conducted a literature review on 24 types of 2015 mathematics textbooks and teacher guides for the elementary school level. The results of this study are as follows: A total of 10 topics were found whose contents were supplemented with descriptions. They were the "Arithmetic of the Ancient Egyptians," the "A'h-mosè Papyrus in Mathematics Textbooks of the Ancient Egyptians," "The Old Akkadian Square Band in Mesopotamia," "The Relationship of the Old Babylonians in Mesopotamia with the Angle," "The Pi of the Ancient Egyptians and the Old Babylonians," "The Square Roots 2 of the Ancient Egyptians and the Old Babylonians," "The Relationship of the Islamites with the Decimal Fraction," "Two Arguments for the Roots of the Golden Ratio," "The Relationship of Archimedes with the Exhaustion Method," and "The Design of Flats." Then, their specific supplements were suggested. It is expected that this will overcome the perspective of the history of the Axial Age and acknowledge and accept the perspective evidencing the transfer of mathematical culture from Ancient Egypt and Old Babylonia to Ancient Greece and Hellenism, and then through Central Asia to Europe.

• Communications of Mathematical Education
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• v.23 no.2
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• pp.461-481
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• 2009

The semiotic approach to the mathematics education has been studied in last 20 years by PME, ICME conferences. New cultural developments in multi-media, digital documents and digital arts and cultures may influence mathematical education and teaching and learning activities. Hence semiotical interest in the mathematics education research and practice will be increasing. In this paper the basic ideas of semiotics, such as Peirce triad and Saussure's dyad, are introduced with some mathematical applications. There is some similarities between traditional research topics for concept, representation and social construction in mathematics education research and semiotic approach topics for the same subjects. some semiotic applications for an arithmetic problem for work, induction, deduction and abduction syllogisms with respect to Peirce's triad, its meaning in scientific discoveries and learning in geometry and symmetry.

• Journal of the Korean School Mathematics Society
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• v.17 no.2
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• pp.207-234
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• 2014

There has been an increasing concern of how mathematical idea indicates and shares in a way to promote students' mathematical development. Such ideas highlighting need of the culture of mathematics classroom in mathematical education. The culture of mathematics classroom was constructed classroom social norms, sociomathematical norms, and classroom mathematical practice. This paper investigated how sociomathematical norms were constructed in two elementary mathematics classrooms by two different teachers.

• Journal of the Korean School Mathematics Society
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• v.12 no.4
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• pp.389-409
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• 2009

This article was to investigate the previous research as a research synthesis in the area of Mathematics Education for students with diversity including multi-cultural education, language minority, and social economic status. The following summaries were made: Recognizing equity in students with diversity; Restoring teachers' perspectives toward poststandardization; Introducing creative curricular based on students' characteristics; Application of the direct instruction; Foci on interests, challenges and mastery learning; Application of Anchored Instruction; Application of CRA; Tasks, tools, & classroom norms; Enhancement of connection and communication using small-group activity; Development of programs enriched by bilingual education; and Producing curriculum for students from North Korea.