• School Mathematics
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• v.13 no.2
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• pp.345-362
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• 2011

This paper addresses mathematics content knowledge required for teaching in secondary school. Three components of mathematical knowledge are needed for teaching: (i) knowing school mathematics, (ii) knowing process of school mathematics, (iii) making connections between school mathematics and advanced mathematics. We investigated mathematics content knowledge of secondary teachers. We found that secondary mathematics teachers have a lack of understanding in solving realistic problem, reasoning and proof, and making connections between school mathematics and advanced mathematics.

• Communications of Mathematical Education
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• v.18 no.1 s.18
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• pp.137-155
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• 2004

현실적 수학교육은 탐구학습, 열린학습 등을 통해 수학적 사고력, 문제해결력을 신장하려는 최근의 수학교육의 방향에 걸맞는 새로운 교수${\cdot}$학습 방법의 하나로 주목받고 있다. 이에 따라 본 연구에서는 고등학교 확률과 통계 영역에서 현실적 수학교육을 적용하기 위한 문맥을 개발하였다. 이 문맥들은 수학사, 자연 및 사회 현상, 실생활의 상황, 타 교과에서의 활용 상황 등 다양한 분야에서 고등학교 2${\sim}$2학년 수준에 알맞게 개발되었다.

• Communications of Mathematical Education
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• v.23 no.3
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• pp.849-862
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• 2009

The goal of this study is to present essential methods of minimalizing Korean populism in our society through the investigation of relations between populism and mathematical education which people don't easily recognize. We made a thorough analysis on the populism-generating elements and then presented mathematical methods which could convert micro-way of thinking into macro-one. We believe that an explicit investigation of the relations between Korean populism and mathematical education and the ensuing appropriate role-setting of mathematical education would help secure an essential solution for minimalizing populism in our society.

• Communications of Mathematical Education
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• v.13 no.1
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• pp.19-38
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• 2002

알고리즘이란 ‘유한한 단계를 거쳐 일련의 문제를 해결하기 위한 명확하고 체계적인 방법’ 으로써 수량에 관련된 문제를 보다 신속 ${\cdot}$ 정확하게 처리하기 위하여 역사적으로 다양한 알고리즘이 존재 ${\cdot}$ 변천해 왔다. 계산기가 발명되기 전까지는 지필 알고리즘이 매우 강조되어 왔으나 계산기가 상용화되면서 지필알고리즘에 대한 효용성과 활용도가 점차 줄어들고 있으나 지필 알고리즘은 수학학습의 기초 ${\cdot}$ 기본인 동시에 뼈대로써 그 가치와 역할은 여전히 중요하다. 그러나 표준화된 지필 알고리즘에 대한 지나친 강조로 인해 학생들은 대수적 구조나 계산 원리를 바르게 이해하지 못한 채 반복 연습을 통해 익힌 표준 알고리즘을 기계적으로 적용하여 답을 구하는 경우가 많으며, 이로 인해 학생들은 수학학습에 대한 불안감과 기피현상이 보이고 있다. 또 인간의 창조적 사고활동의 최종적인 산물인 표준 알고리즘은 대안적인 알고리즘에 비해 효율성에서 앞서지만 학생들의 사고 수준에서는 그 원리를 이해하기 힘든 경우가 있을 것이다. 따라서 수학교육의 목적 중의 하나인 문제 해결력을 기르기 위해, 그리고 표준 알고리즘의 가치와 효율성을 인식시키고, 수학학습에 대한 불안감을 줄이기 위해 표준 알고리즘뿐만 아니라 대안적인 알고리즘을 병행하여 지도할 필요가 있다.

• Journal of Creative Information Culture
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• v.5 no.3
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• pp.295-306
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• 2019

Despite the popularity and convenient accessibility of puzzles, the variety of puzzles have led to a lack of research on the nature of the puzzle itself. In guiding certain skills, such as abstractness, creativity, and logic, a teacher should have the thinking skill and strategy that appear in solving puzzles. In this study, the mathematical thinking that appears in solving puzzles from the perspective of experts is identified, and the strategies and characteristics are described and classified accordingly. For this purpose, we analyzed 85 math puzzles including the well-know puzzles to the public, plus puzzles from a popular book for the gifted student. The research analysis shows that there are 6 types of mathematics puzzles in which require mathematical thinking.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2012.05a
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• pp.446-450
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• 2012

Will lead the future of life in society, children needs robot education for adaptation to the futhure high-tech robot age. For children to learn about robots needs an active interest, the necessity of learning, creative learning using information technology in information-based society In ministry of education, science and technology education in the necessity of a infant's smart robot education to promote education and training child care for infants national scientific and mathematical problem - solving skills and creative problem solving to increase rearing children in desperate need of robots is the development of educational content. Baby robot training content design and creativity of the teaching model effective problem solving and creativity measuring plan review, implementation strategies and creative problem solving is a comparison. The goal of this paper enjoys science and technology with curriculum-based children's fusion science and technology human resources is to lay the groundwork for.

• The Mathematical Education
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• v.48 no.2
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• pp.149-167
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• 2009

This study was aimed to examine problem-solving ability of fifth graders on two types of mathematical essay problems, and to analyze the process of mathematical justification in solving the essay problems. For this purpose, a total of 14 mathematical essay problems were developed, in which half of the items were single tasks and the other half were data-provided tasks. Sixteen students with higher academic achievements in mathematics and the Korean language were chosen, and were given to solve the mathematical essay problems individually. They then were asked to justify their solution methods in groups of 4 and to reach a consensus through negotiation among group members. Students were good at understanding the given single tasks but they often revealed lack of logical thinking and representation. They also tended to use everyday language rather than mathematical language in explaining their solution processes. Some students experienced difficulty in understanding the meaning of data in the essay problems. With regard to mathematical justification, students employed more internal justification by experience or mathematical logic than external justification by authority. Given this, this paper includes implications for teachers on how they need to teach mathematics in order to foster students' logical thinking and communication.

• Proceedings of the Korean Information Science Society Conference
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• 2010.06a
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• pp.154-155
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• 2010

21세기 지식정보화 시대의 정보과학기술은 중요한 교육으로 발전하고 있으며, 최근 6T를 기반으로 융합 IT는 미래사회의 중요한 과학기술로 연구 발전 시켜나가고 있다. 최근 이러한 융합적 IT기술의 근원은 창의성 계발과 아이디어를 중요시하고 있으며, 창조적 인재육성을 지향하고 있다. 창조적 인재육성은 창의적 문제해결 학습에 의한 두뇌의 발달과 창의적 설계를 가능하게 하므로 새로운 학습방법 연구가 활발히 진행 되어야 할 필요가 있다. 본 논문에서는 RDS를 이용한 창의적 문제해결 학습방법에 대하여 설명하고, 융합 IT분야에서도 미래사회에 가장 많은 영향력을 가지고 있는 지능로봇 분야의 창의적 설계와 응용을 학습할 수 있는 방법에 대하여 소개한다. RDS는 지능로봇 시뮬레이션 프로그램을 서비스 컴포넌트 기반으로 창의적 설계에 대하여 3차원 가상공간에서 학습자가 직접 프로그램으로 제작 실험이 가능하도록 지원한다. 또한 수학적, 과학적 학습의 효과를 동시에 IT에 접목할 수 있는 종합교육학습 시스템으로 발전시켜 나갈 수 있다. 시각적 시뮬레이션 환경(VSE)은 학습자의 문제해결력을 위한 경험과 실험을 동시에 실시간 제공할 수 있는 것이 큰 장점이다.

• Journal of Elementary Mathematics Education in Korea
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• v.16 no.2
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• pp.203-225
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• 2012

The purpose of this study is to suggest a program for improvement of the mathematical creativity of mathematical gifted children in the elementary gifted class and to examine the effect of developed program. Gifted education program is developed through analyzing relevant literatures and materials. This program is based on the operation bingo game related to the area of number and operation, which accounts for the largest portion in the elementary mathematics. According to this direction, the mathematically gifted educational program has been developed. According to the results which examine the effectiveness of the creative problem solving by the developed program, students' performance ability has been gradually improved by feeding back and monitoring their problem solving process continuously.

• School Mathematics
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• v.16 no.4
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• pp.691-708
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• 2014

In general, the intuitive knowledge that can use in mathematics problem solving is one of the important knowledge to teachers as well as students. So, this study is aimed to analyze the elementary preservice teachers' intuitive knowledge in relation to intuitive and counter-intuitive problem solving. For this, I performed survey to use questionnaire consisting of problems that can solve in intuitive methods and cause the errors by counter-intuitive methods. 161 preservice teachers participated in this study. I got the conclusion as follows. preservice teachers' intuitive problem solving ability is very low. I special, many preservice teachers preferred algorithmic problem solving to intuitive problem solving. So, it's needed to try to improve preservice teachers' problem solving ability via ensuring both the quality and quantity of problem solving education during preservice training courses. Many preservice teachers showed errors with incomplete knowledges or intuitive judges in counter-intuitive problem solving process. For improving preservice teachers' intuitive problem solving ability, we have to develop the teacher education curriculum and materials for preservice teachers to go through intuitive mathematical problem solving. Add to this, we will strive to improve preservice teachers' interest about mathematics itself and value of mathematics.