• 한국수학교육학회지시리즈A:수학교육
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• 제42권4호
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• pp.541-559
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• 2003

This paper considers learning and teaching of mathematical analysis in teachers college. It concentrates on showing a way how learning and teaching of mathematical analysis should be considered for mathematical teachers training. It is composed of five chapters including Chapter I as an introduction and Chapter Vasa concluding remarks. Chapter II deals with goal and contents of global mathematical analysis. The main Chapter, named Chapter III, demonstrates exhibition of contents, way of operations, and contents of teaching and learning of mathematical real analysis. Chapter IV shows an example of learning and teaching of mathematical real analysis concerning to fixed points and approximate solutions.

• 한국수학교육학회지시리즈A:수학교육
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• 제42권5호
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• pp.697-706
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• 2003

In this paper we consider the equality sign as a mathematical concept and investigate its meaning, errors made by students, and subject matter knowledge of mathematics teacher in view of The Model of Mathematic al Concept Analysis, arithmetic-algebraic thinking, and some examples. The equality sign = is a symbol most frequently used in school mathematics. But its meanings vary accor ding to situations where it is used, say, objects placed on both sides, and involve not only ordinary meanings but also mathematical ideas. The Model of Mathematical Concept Analysis in school mathematics consists of Ordinary meaning, Mathematical idea, Representation, and their relationships. To understand a mathematical concept means to understand its ordinary meanings, mathematical ideas immanent in it, its various representations, and their relationships. Like other concepts in school mathematics, the equality sign should be also understood and analysed in vie w of a mathematical concept.

• 한국수학교육학회지시리즈A:수학교육
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• 제42권1호
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• pp.57-67
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• 2003

In this paper we analyze educational aspects of a mathematical problem. As a result of the analysis, we extract five meaningful mathematical knowledge and ideas. Corresponding with these we suggest some chains of mathematical problems that are expected to activate student's self-oriented mathematical investigation.

• 한국수학교육학회지시리즈A:수학교육
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• 제52권1호
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• pp.111-128
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• 2013

The purpose of this study was to examine and analyze the cognitive demand of the mathematical tasks suggested in the middle school textbooks. In particular, it aimed to reveal the overall picture of the level of cognitive demand of the mathematical tasks in the strand of geometry in the textbooks. We adopted the framework for mathematical task analysis suggested by Stein & Smith(1998) and analyzed the mathematical tasks accordingly. The findings from the analysis showed that 95 percent of the mathematical tasks were at high level and the rest at low level in terms of cognitive demand. Most of the mathematical tasks in the textbooks were algorithmic and focused on producing correct answers by using procedures. In particular, the high level tasks were presented at the end of each chapter or unit for wrap up rather than as key resources.

• East Asian mathematical journal
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• 제24권2호
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• pp.151-159
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• 2008

An error analysis introduced in [1], [2] is utilized in combination with nondiscrete mathematical induction to provide a finer than before [3]-[7], [11] semilocal convergence analysis for a certain class of modified Newton processes.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제22권4호
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• pp.471-487
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• 2008

본 연구에서는 해석학 강좌를 운영하는 과정에서 얻어진 학생들의 수학적 발명의 사례를 제시하고 분석하여, 수학적 발명과 관련된 구체적인 교수-학습 과정, 얻어진 수학적 산출물들, 이들의 수학적 의의를 기술하였다.

• 한국수학교육학회지시리즈A:수학교육
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• 제58권3호
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• pp.443-458
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• 2019

본 연구는 예비 수학 교사들의 수학적 모델, 수학적 모델링 및 수학적 모델링의 교육적 활용에 대한 인식을 조사하고 그들 간의 관계에 대하여 탐색하였다. 210명의 예비 수학 교사들의 설문에 대한 응답을 구조방정식 모형을 이용하여 양적 분석하였다. 연구 결과에 따르면, 예비 수학 교사들의 수학적 모델 및 모델링에 대한 인식은 수학적 모델링의 교육적 활용에 대한 인식에 영향을 미치는 것으로 나타났으며, 이에 대한 연구 및 교육적 함의점을 논의하였다.

• 산업공학
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• 제13권3호
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• pp.539-547
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• 2000

An architecture of a Web-based Decision Support system for mathematical analysis is presented. Front-end modules provide web-client GUI environment for mathematical analysis. The networking architecture is built upon client/server system by Java socket and accesses database by JDBC in WWW. Back-end modules provide decision supporting service and data management for mathematical programming analysis. In the back-end any analysis tools, such as mathematical optimizer, simulation package, or statistics package can be used. As an application example for this implementation, optimal facility replacement decision problem is selected. In the implementation the optimal facility replacement decision problem is formulated as a shortest path problem. It uses Oracle DB and CPLEX package as the mathematical optimizer. While ORAWeb is designed and implemented on the optimal facility replacement problem, it can easily be extended to any decision supporting problems that would require mathematical optimization process.

• 한국수학교육학회지시리즈A:수학교육
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• 제48권4호
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• pp.365-385
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• 2009

Recently, mathematical modeling has been attractive in that it could be one of many efforts to improve students' thinking and problem solving in mathematics education. Mathematical modeling is a non-linear process that involves elements of both a treated-as-real world and a mathematics world and also requires the application of mathematics to unstructured problem situations in real-life situation. This study provides analysis of literature review about modeling perspectives, case studies about mathematical modeling, and textbooks from the United States and Korea with perspective which mathematical modeling could be potential and meaningful to students even in elementary school. Further, teaching method with mathematical modeling was investigated to see the possibility of application to elementary mathematics classroom.

• 대한수학교육학회지:수학교육학연구
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• 제22권2호
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• pp.229-259
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• 2012

본 연구는 우리나라 학생들의 수학적 신념을 간편하게 측정할 수 있는 표준화된 측정 도구를 문헌연구와 심리측정학적 분석을 바탕으로 수학교과에 대한 신념, 수학 문제해결 신념, 수학 교수 학습에 대한 신념, 수학적 자아개념의 4개의 하위 요소로 구성하여 중학생용은 총 37문항으로, 고등학생용은 총 40문항으로 개발하였다. 그리고 대단위 표집 검사를 실시하여 우리나라 중 고등학생의 수학적 신념이 학교급별, 성별, 성취수준에 따라 어떤 특성이 나타나는지를 분석하였다. 연구 결과, 중 고등학교 모두 남학생이 여학생보다 수학이 유용하다고 믿는 신념, 수학에서 과정보다 정답을 구하는 것이 중요하다고 믿는 신념, 많은 수의 문제를 푸는 것이 중요하고 믿는 신념 등이 강하게 나타났고, 중학교에서 고등학교로 진급하면서 수학적 자아개념 중 '감정' 요인이 긍정적으로 변화하였다. 여학생은 중 고등학교 모두 수학 교수 학습에 대한 신념 중 '교사의 수업활동' 요인만이 남학생보다 강하였다. 성취수준이 '기초이하' 집단 학생들이 수학은 암기해야 하는 공식과 절차라거나 창의적 활동에 대한 기회를 제공하지 못한다고 생각하는 '고정관념'이 가장 강하였다. 그 외요인에서는 '우수' 집단 학생들의 신념이 강하였다.