• Communications of Mathematical Education
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• v.10
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• pp.107-124
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• 2000

정보화 시대의 수학 교육은 수학을 체험해 볼 수 있게 하여(Doing Mathematics) 수학적 힘을 향상시키는 데 초점을 두어야 한다. 이를 위해서는 수학의 기본 지식 ${\cdot}$ 추론 능력 ${\cdot}$ 문제 해결력 ${\cdot}$ 수학적 아이디어의 표현 및 교환 능력 그리고 사고의 유연함 ${\cdot}$ 인내 ${\cdot}$ 흥미 ${\cdot}$ 지적 호기심 ${\cdot}$ 창의력을 길러 주는 다양한 교수 ${\cdot}$ 학습 방법이 필요하다. 본 연구는 연립방정식과 일차함수 단원에서 그래핑 계산기를 활용하여 다양한 표상을 통한 수학 개념의 연계지도와 수학 학습 태도 개선을 위한 교수 ${\cdot}$ 학습 모델을 구안 ${\cdot}$ 적용하는 데 주안점을 두고자 한다.

• Journal of the Korean School Mathematics Society
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• v.9 no.3
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• pp.265-286
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• 2006

Given that less attention has been paid to teachers than students in mathematics education, this study attempted to provide theoretical foundations to understand better mathematics teacher learning and teaching practice in transition. First, this paper summarized three conceptions of teacher learning on the basis of the relationships of knowledge and practice followed by several implications to mathematics teacher education. Second, this paper provided a brief overview of cognition as situated, social, and distributed. This paper then explored new implications and issues about mathematics teacher learning that the overview brought to light. It is expected for teacher educators and researchers to participate in rich discussion of many implicit issues about teacher learning that this paper begins to raise.

• Journal of Educational Research in Mathematics
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• v.14 no.2
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• pp.143-156
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• 2004

Lakatos's mathematical philosophy implies that the mathematical knowledge is quasi-empirical and provides the context where mathematics grows and develops. So, it is educationally significant. But, it is not easy to apply Lakatos's methodology to teaching elementary mathematics, because Lakatos's logic of the mathematical discovery is based on the proofs and refutations but elementary mathematics does not contain any proof. This study is to develop the schemes that apply Lakatos's methodology to teaching elementary mathematics and to provide the teaching examples. I devised the teaching process and the curriculum development method. And I developed the teaching examples.

• Journal of Educational Research in Mathematics
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• v.20 no.2
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• pp.145-161
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• 2010

Concepts in mathematics have been formulated for unifying and abstractizing materials in mathematics. In this procedure, usually some developments happen by necessity as well as for their own rights, so that various interesting materials can be produced as byproducts. These byproducts can also be established by themselves mathematically, which is called byproduct mathematization (sub-mathematization). As result, mathematization and its byproduct mathematization interrelated to be developed to obtain interesting results and concepts in mathematics. In this paper, we provide explicit examples：the mathematization is the continuity of trigonometric functions, while its byproduct mathematization is various trigonometric identities. This suggestion for explaining and showing mathematization as well as its byproduct mathematization enhance students to understand trigonometric functions and their related interesting materials.

• Communications of Mathematical Education
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• v.14
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• pp.71-83
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• 2001

교사가 효과적으로 수업을 하려면 계속해서 개선을 해야 한다. 교사들이 자신의 수업을 계속해서 반성함으로써, 또한 교수와 학습에 대한 지식이 변함에 따라 수업이 변하고 발전한다. 따라서 이상적인 교사는 꾸준히 변하는 교사이다. 이러한 교사역할에서의 변화가 요구되는 합의가 암묵적으로 이루어지고 있으므로, 교사의 역할을 인지적 관점과 사회적 관점으로 나누어 살펴보고, 교사교육을 실행공동체에서의 참여의 변화과정으로 개념화하여, 교사교육 프로그램의 방향과 효과에 대하여 알아본다. 이에 따른 바람직한 교사의 변화 방향을 탐색하여 수학 교실 향상에 대한 앞으로의 시사점을 얻는 것이 이 논문의 목적이다.

• School Mathematics
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• v.12 no.4
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• pp.493-506
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• 2010

In this study, we conducted classroom activities that are exploring and explaining visualized materials for problem solving of school mathematics with pre-service teachers in 2007~2009. After finishing these classroom activities, pre-service teachers recorded an afternote that includes changes of their thinking about mathematics and mathematics education through these activities in this study. We collected various opinions of pre-service mathematics teachers. From the analysis these data, we searched educational effects of our classroom activities. Through conducting the practice like these classroom activities of our study, pre-service mathematics teachers will have an opportunity of a practical training that supports the teaching of mathematical problem-solving. Moreover their PCK will be enhanced. Also, They will learn a good way to realize the aim of school mathematics curriculum.

• Journal of the Korean School Mathematics Society
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• v.12 no.4
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• pp.365-388
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• 2009

In this paper we solve various triangle construction problems given by three points(a midpoint of side and other two points). We investigate relation between these construction problems, draw out a base problem, and make hierarchy of solved construction problems. In detail we describe analysis for searching solving method, and construction procedure of required triangle.

• Journal of Gifted/Talented Education
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• v.13 no.1
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• pp.21-42
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• 2003

The Interdisciplinary-Multistrategic Science Education Program(IMSEP) is designed as an efficient program for the education of the gifted in science. An example of the contents is developed, which encompasses mathematics, physics, chemistry, astronomy, and biology. In the program, the complexity(interdisicplinarity) of scientific contents and instructional strategies used to deliver the scientific contents are designed to be correlated to each other in such a way that as the scientific contents gets more complex, the scientific skill to be taught by the instructional strategy becomes deeper. Through the careful balance between the scientific contents and the instructional strategies student's scientific knowledge and scientific skill will develop balanced and the effectiveness of science education will be maximized.

• Journal of Educational Research in Mathematics
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• v.21 no.4
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• pp.345-359
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• 2011

In this research, we designed an educational activities of exploring mathematics programs in a course of mathematics education in teacher's college. We divided future mathematics teachers into 8 groups and suggested 8 mathematics programs to them. Each group explored one mathematics program. We asked to future mathematics teachers exploring some cases that use effectively a mathematics program in the teaching of school mathematics. In the process of an exploring, we designed some activities of teaching and learning. We provided opportunities of long-term exploration, group learning, presentations, exercises, reflections to mathematics teachers. As a result, future mathematics teachers acquired basic knowledge on the usage of mathematics programs in school mathematics textbook. In addition, their capabilities that are needed to explore mathematics programs have been enhanced. Also they had learned the teacher's positive attitude through the activities of teaching and learning.

• Communications of Mathematical Education
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• v.9
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• pp.227-239
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• 1999

영재교육의 이론적 근거를 제시한 연구물이 국내에는 그다지 많지 않다. 뿐만 아니라 지금 한국과학재단에서 지원하고 있는 전국의 9개 대학 과학영재교육센터 역시 실천적인 차원의 활동을 벗어나지 못하고 있다. 외국의 대학부설 연구소들이 30년 이상 이와 같은 연구와 서비스를 지속적으로 실천해오고 있는 사례들을 우리는 쉽게 찾을 수 있다는 점을 거울 삼아 모처럼 마련된 국가적 차원의 지원을 토대로 그 바람직한 실천과 연구를 위한 방안을 다음과 같이 제시해본다. 첫째, 질적 연구의 집적에 힘써야 한다. 영재교육이라는 특수한 상황을 전제로 할 때는 더구나 그렇듯이 일반화를 전제로 한 양적 연구보다는, 사례연구와 같은 질적 연구물들의 집적에 노력을 아끼지 말아야할 것이다. 둘째, 교수-학습 활동은 활동이론과 구성주의 이론의 적절한 조화가 요망된다. 구성주의 이론에 입각한 교수-학습 활동의 모습을 단적으로 말하자면, 학습자 자신이 주어진 문제 상황에서의 탐구를 통하여, ‘구체적인 것에서 추상적인 것으로’ 나아가 스스로 지식을 구성하는 것이다. 그러나, 활동이론에 입각한 교수-학습 활동의 요지는 활동은 정말로 전형적인 활동에 국한하고 나머지는 교사의 설명에 의해 학습자들이 ‘추상적인 것에서 구체적인 것으로의 소급’이 가능하도록 하는 것이다. 완전히 정반대의 주장을 하는 것 같으면서도 일면 그 타당성들을 갖고 있는 것으로 볼 수 있다. 셋째, 학제적 ${\cdot}$ 통합적 연구가 절실하다. 연구의 측면에서 수학반 아동과 과학반 아동들의 활동상의 차이점이나 유사점 등에 대한 질적 연구를 시도해보는 것은 매우 의미있는 일이 될 것이다.