• School Mathematics
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• v.8 no.4
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• pp.379-396
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• 2006

The purpose of this study is to analyze characteristics of problem solving in mathematics for gifted students through case study on solving the mathematical problem for gifted students, and to investigate what are relationships with the cognitive and affective characteristics. To this end, this study was to analyze the characteristics on the problem solving in mathematics by using qualitative research method after it selected two students who had specific education for brilliant students. As a result, this study has shown that it had high preference for question with clear answer, high preference for individual inquiry learning, high adhesion to answer for question, and high adhesion for assignment on characteristics of process of problem solving, but there was much difference in spirit of competition. As to the characteristics of thoughts in problem solving, this study has shown that it had high grasp capacity, intuitive insight, and capacity for visualization, but there were differences in capacity for generalization and adaptability. However, both two students had low values in deductive thought. In addition, as to the home environment and cognitive and affective characteristics, they were not related to the characteristics on problem solving directly, but it has shown that it affected each other indirectly. As to the conclusion of this study, this researcher thinks that it will be valuable documentation in order to improve curriculum, development of textbooks, and teaching method for special education for the gifted students and education for secondary mathematics.

• Journal of Educational Research in Mathematics
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• v.16 no.4
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• pp.345-366
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• 2006

In this study, we investigated the methods of using the Cabri3D program for education of problem solving in school mathematics. Cabri3D is the program that can represent 3-dimensional figures and explore these in dynamic method. By using this program, we can see mathematical relations in space or mathematical properties in 3-dimensional figures vidually. We conducted classroom activity exploring Cabri3D with 15 pre-service leachers in 2006. In this process, we collected practical examples that can assist four stages of problem solving. Through the analysis of these examples, we concluded that Cabri3D is useful instrument to enhance problem solving ability and suggested it's educational usage as follows. In the stage of understanding the problem, it can be used to serve visual understanding and intuitive belief on the meaning of the problem, mathematical relations or properties in 3-dimensional figures. In the stage of devising a plan, it can be used to extend students's 2-dimensional thinking to 3-dimensional thinking by analogy. In the stage of carrying out the plan, it can be used to help the process to lead deductive thinking. In the stage of looking back at the work, it can be used to assist the process applying present work's result or method to another problem, checking the work, new problem posing.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.1
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• pp.19-38
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• 2011

The purpose of this study was to analyze the responses and the behavioral characteristics between mathematically promising students and normal students in solving open-ended problems. For this study, 55 mathematically promising students were selected from the Science Education Institute for the Gifted at Seoul National University of Education as well as 100 normal students from three 6th grade classes of a regular elementary school. The students were given 50 minutes to complete a written test consisting of five open-ended problems. A post-test interview was also conducted and added to the results of the written test. The conclusions of this study were summarized as follows: First, analysis and grouping problems are the most suitable in an open-ended problem study to stimulate the creativity of mathematically promising students. Second, open-ended problems are helpful for mathematically promising students' generative learning. The mathematically promising students had a tendency to find a variety of creative methods when solving open-ended problems. Third, mathematically promising students need to improve their ability to make-up new conditions and change the conditions to solve the problems. Fourth, various topics and subjects can be integrated into the classes for mathematically promising students. Fifth, the quality of students' former education and its effect on their ability to solve open-ended problems must be taken into consideration. Finally, a creative thinking class can be introduce to the general class. A number of normal students had creativity score similar to those of the mathematically promising students, suggesting that the introduction of a more challenging mathematics curriculum similar to that of the mathematically promising students into the general curriculum may be needed and possible.

• Journal of The Korean Association of Information Education
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• v.9 no.4
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• pp.595-606
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• 2005

7차교육과정에서의 초등 컴퓨터교육은 재량활동시간 또는 특별활동시간에 단순한 응용프로그램(워드프로세서, 엑셀, 파워포인트 등)을 활용하거나 인터넷을 이용한 정보검색 수준이다. 따라서, 문제해결 능력이나 논리적 사고력을 향상시키는데는 미흡하다. 인지능력이 뛰어난 초등학교 5, 6학년에는 이러한 컴퓨터 활용방법 교육보다 컴퓨터 기초원리 또는 프로그래밍교육이 필요하다. 본 논문은 프로그래밍교육을 재량 특별활동 시간에 학년별(5, 6학년) 또는 통합학년으로 학습할 수 있게 프로그래밍교육과정 60차시 분을 개발하여 제안하였다. 개발한 교육과정은 교수 및 학습자의 요구사항을 최대한 반영하기 위해 설문조사 등을 통해 얻은 기초자료를 참조하였다. 제안한 교육과정이 초등학교 5, 6학년에 적합하고 우수한지를 검토하기 위해 일부 차시의 교육과정으로 5, 6학년을 대상으로 재량활동시간에 직접 교수 학습한 후 자기평가, 설문조사를 실시하였다. 결과로 제안한 교육과정이 적합성과 우수성이 있다고 판단되었다.

• Communications of Mathematical Education
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• v.23 no.1
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• pp.129-144
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• 2009

The purpose of the study was to investigate the effects of the use of RNP curriculum based on Lesh translation model on third grade students' understandings of fraction concepts and problem solving ability. Students' conceptual understandings of fractions and problem solving ability were improved by the use of the curriculum. Various manipulative experiences and translation processes between and among representations facilitated students' conceptual understandings of fractions and contributed to the development of problem solving strategies. Expecially, in problem situations including fraction ordering which was not covered during the study, mental images of fractions constructed by the experiences with manipulatives played a central role as a problem solving strategy.

• 한국정보교육학회:학술대회논문집
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• 2004.01a
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• pp.296-303
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• 2004

급속도로 변화하는 정보화 시대에 영재를 조기에 발굴하여 교육하는 것은 매우 중요한 일이다. 이에 부응하여 영재교육에 대한 관심이 커지고 있으며 특히 초등학교 정보 영재에 대한 교육의 필요성도 커지고 있다. 특히 자기 주도적 학습 능력과 문제해결력은 정보영재의 특징으로 매우 중요하다. 또한 문제해결력 교육에 있어 알고리즘 교육은 매우 중요한 부분을 차지하고 있다. 정렬 알고리즘은 자료처리에서 사용빈도가 높고 종류가 다양하며 초등 정보 영재 알고리즘 교육에서 다양한 문제 해결력을 길러 줄 수가 있다. 본 논문은 초등학교 정보 영재를 위한 알고리즘 학습 지원 시스템에 관한 연구이며, 특히 정렬 알고리즘을 중심으로 학습 지원 시스템을 설계하고 구현하고자 하였다. 본 시스템은 첫째, 정렬 알고리즘 학습을 영재의 특성에 맞게 자기 주도적으로 학습하는데 도움을 준다. 둘째, 정렬알고리즘의 개념형성을 위해 알고리즘의 종류별로 그 과정을 보여준다. 셋째, 형성평가를 통해 개념형성을 확인하고 적용하였다.

• Proceedings of the Korean Society of Computer Information Conference
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• 2018.01a
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• pp.107-108
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• 2018

프로그래밍 교육이 필요성이 강조되고 있으며 효과적인 교육을 위해 여러 교수 방법이 적용되고 있다. 피지컬 컴퓨팅 또한 프로그래밍 교육을 향상시키는 방법으로 연구에서 활용되어 긍정적인 효과를 보이고 있다. 하지만 피지컬 컴퓨팅 교육관련 연구의 집단이 소수이므로 실제로 일반화하기 어려운 한계가 있다. 따라서 본 연구에서는 프로그래밍 교육에서 피지컬 컴퓨팅의 활용에 대한 문제해결력의 변화가 일반프로그래밍 교육에서의 변화와의 차이를 분석하고자 관련연구를 대상으로 메타분석을 진행하였다.

• The Journal of the Korea Contents Association
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• v.14 no.12
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• pp.1083-1099
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• 2014

The purpose of this study is to analyze that The arithmetic and algebraic word problem solving skill, strategy preference, and assessment ability of elementary preservice teachers is investigated using a statistical methodology. The research findings are as follows. First, elementary preservice teachers demonstrated logical and delicate problem solving behaviors in arithmetic and algebraic word problem solving. And elementary preservice teachers prefer to create a formula and table strategy in problem solving of the arithmetic question. Second, there was meaningful difference in the math and english elementary preservice teachers' appreciations with significant level of 0.05. And there was not meaningful difference in the 1 and 4 grade elementary preservice teachers' appreciations with significant level of ${\alpha}=0.05$. Results of the study suggest that teachers education course need to improve elementary preservice teachers' word problem solving skill, strategy preference, and assessment ability in the arithmetic and algebraic.

• Communications of Mathematical Education
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• v.28 no.1
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• pp.1-17
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• 2014

Recently a student's mathematical thinking and problem-solving skills are emphasized. Nevertheless, the students solved the problem associated with a given type of problem solving using mechanical algorithms. With this algorithm, It's hard to achieve the goal that are recently emphasized. Furthermore It may be formed error or misconception. However, consistent errors have positive aspects to identify of the current cognitive state of the learner and to provide information about the cause of the error. Thus, this study tried to analyze the error happening in the process of solving gearwheel-involved problem and to propose the correct teaching method. The result of student's error analysis, the student tends to solve the gear-wheel problem with proportional expression only. And the student did not check for the proportional expression whether they are right or wrong. This may be occurred by textbook and curriculum which suggests only best possible conditioned problems. This paper close with implications on the discussion and revision of the concepts presented in the curriculum and sequence related to the gearwheel-involved problem as well as methodological suggested of textbook.

• Journal of The Korean Association of Information Education
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• v.9 no.3
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• pp.549-560
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• 2005

Web-based distance teacher training should focus on increasing self-directed problem solving skills of trainers by problem-based instruction(PBL). Performance assessment evaluates achievement of learning goals through the practical performance learning to solve problems in the real situation. This study proposes a web-based performance assessment model for the distance teacher training. It reflects fairness and objectiveness issues of performance assessment which elementary teachers are concerned about through the survey on distance teacher training, and relieves instructors from overload of managing and scoring performance tests. The proposed model provides problem-based learning situations, interactions between individuals and groups, and web-based cooperative evaluation and the peer evaluation.