• 한국수학교육학회지시리즈E:수학교육논문집
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• 제22권4호
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• pp.445-457
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• 2008

수치적으로 행렬의 고유치를 모두 계산할 수 있는 방법이 QR 방법이다. 이 방법의 효과적인 교육을 위하여 알고리듬의 이론적인 사실을 실습을 통하여 확인할 수 있는 매트랩 코드와 예를 제시한다.

• 한국수학교육학회지시리즈A:수학교육
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• 제42권2호
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• pp.177-191
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• 2003

In this paper, we present the theory of computers and mathematics education based on the concept of microworlds for mathematics education. We lust look back some previous papers published in the journal of the Korea society of mathematical education series A and else where. Then we present the new view points regarding mircroworlds and mathematics curriculems, microworlds and mathematics teaching and teaming, microworld based problem centered teaming, and microworld based diagnostics and debuggings. We use JavaMAL microworld that is designed to make LOGO and dynamic geometry system in one microworld to give some examples to explain the necessary mathematics educational needs fur designing microworlds for mathematics education. The JavaMAL microworld is a web based microworld that is programmed using JAVA, and the user on use script language, menus, keyboard, and mouse interaction to use the environment.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제9권2호
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• pp.97-113
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• 2005

Investigating mathematics teachers in middle schools by questionnaire and interview, we find some problems of internal professional structure of mathematics teachers in middle schools. These are reflected in five aspects: professional theory, professional knowledge, professional ability, professional morality, reflection and innovative consciousness.

• 호남수학학술지
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• 제38권4호
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• pp.783-794
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• 2016

The notions of hesitant fuzzy left (resp., right, bi-, quasi-) ideals are introduced, and several properties are investigated. Relations between a hesitant fuzzy left (resp., right) ideal,a hesitant fuzzy bi-ideal and a hesitant fuzzy quasi-ideal are discussed. Characterizations of hesitant fuzzy left (resp., right, bi-, quasi-) ideals are considered.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제22권3호
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• pp.383-397
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• 2008

문제 해결에 있어서 수학적 사고의 필요성은 절대적이다. 이 논문에서는 먼저 기존의 수학적 사고에 대해 확인하고 Lakatos의 증명과 반박의 과정을 통한 수학적 예에서 학생들이 어떻게 수학적 사고를 형성하는지를 살펴본다.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제26권4호
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• pp.267-276
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• 2019

In this paper, we investigate the stability of an additive-cubic-quartic functional equation f(x + 2y) - 4f(x + y) + 6f(x) - 4f(x - y) + f(x - 2y) - 12f(y) - 12f(-y) = 0 by applying the fixed point theory in the sense of L. Cădariu and V. Radu.

• 한국수학사학회지
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• 제26권4호
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• pp.301-320
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• 2013

Although many people have recognized the importance of history of mathematics in mathematics education, there are few studies that history and mathematics educations are connected. In this paper, we present and discuss the ways of introducing the instruction with mathematics machines. This instruction use the history of mathematics as part of a class not as a tool to stimulate students' interest but as a goal that it can be targeted mathematical itself. To do this, we first analyze the characteristics of applying history of mathematics in mathematical education, second, describe the meaning and the educational value of mathematical machines, and finally explained the way of applying history of mathematics with mathematics machines. The Instruction of history of mathematics with mathematics machines has advantages that practice (manipulation and experiment) and theory (elaboration of definition, production of conjectures and constructions of proofs) are interlaced within a historic-cultural perspective.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제24권3호
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• pp.627-658
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• 2010

접선의 개념은 수학에서 매우 중요하다. 그러나 대학생들조차 미분가능과 접선의 존재를 동일시하는 등 접선의 중요성과 개념에 대해 혼란스러워하고 있다. 이런 관점에서 본 논문에서는 선행연구를 창조하고 초, 중, 고교의 교과서와 교육과정을 분석하여 접선개념의 도입 등을 분석하고 Lakatos 이론과 GSP를 이용한 접선지도방법과 실제 학교현장에서 사용할 수 있는 학습지도안을 제시하고, 현장적용 및 교수실험결과를 소개한다.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제18권2호
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• pp.103-128
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• 2014

This paper presents the Global van Hiele (GVH) questionnaire as a tool for mapping knowledge and understanding of plane and solid geometry. The questionnaire facilitates identification of the respondents' mastery of the first three levels of thinking according to van Hiele theory with regard to key geometrical topics. Teacher-educators can apply this questionnaire for checking preliminary knowledge of mathematics teaching candidates or pre-service teachers. Moreover, it can be used when planning a course or granting exemption from studying in basic geometry courses. The questionnaire can also serve high school mathematics teachers who are interested in exposing their students to multiple-choice questions in geometry.

• 대한수학회보
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• 제51권1호
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• pp.13-27
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• 2014

The purpose of this paper is to derive a perturbation theory of evolution systems of the hyperbolic second order hyperbolic equations. We give an example of a partial functional equation as an application of the preceding result in case of the mixed problems for hyperbolic equations of second order with unbounded principal operators.