• Communications of Mathematical Education
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• v.18 no.1 s.18
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• pp.19-25
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• 2004

초등학교에서 고학년으로 갈수록 수학에 대한 흥미가 떨어지고 수학을 기피하는 학생들을 많이 볼 수 있다. 그러한 아동들의 대부분은 수학에 대한 어려움을 많이 호소하고 있는데 특히 비정형화된 문제들을 대할 때엔 그 현상은 더욱 심각하다. 초등학교 수학 교과서의 마지막 단원은 '문제 푸는 방법 찾기' 단원인데, 이 단원에 제시된 문제들은 대체로 비정형화된 문제들이다. 정형화된 문제에 익숙한 아동들은 이러한 비정형 문제들을 해결하는 데에 상당히 어려움을 나타내곤 한다. 본교에서는 이러한 아동들의 어려움을 해결할 수 있는 방안으로 협력학습을 택하였다. 또래들과의 상호작용 속에서 비정형화된 문제에 보다 친숙하게 접근하고 해결해 나가는 과정을 반복하다 보면 수학에 대한 흥미를 되찾게 되고, 문제 해결력과 수학적 사고력이 향상될 것으로 기대된다.

• Communications of Mathematical Education
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• v.31 no.1
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• pp.125-147
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• 2017

The purpose of this study was to investigate the effects of mathematics-centered STEAM program which was operated in free semester system classes on middle school students' interest in science, technology/engineering, and mathematics(STEM) career and integrated problem solving ability. The study was conducted with 40 first graders in a middle school for 12 weeks using mathematics-centered STEAM program developed for the use of free semester system classes by the support of the Ministry of Education/KOFAC in 2016. According to the results of STEM career interest survey, mathematics-centered STEAM program was effective for improving middle school students' interest in STEM career. And it was also effective in the development of students' integrated problem solving ability.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.3
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• pp.347-370
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• 2015

The purpose of this study is to examine the effects of mathematical modeling activities on mathematical problem solving abilities and mathematical dispositions in elementary school students. For this study, we administered mathematical modeling activities to fifth graders, which consisted of 8 topics taught over 16 classes. In the results of this study, mathematical modeling activities were statistically proven to be more effective in improving mathematical problem solving abilities and mathematical dispositions compared to traditional textbook-centered lessons. Also, it was found that mathematical modeling activities promoted student's mathematical thinking such as communication, reasoning, reflective thinking and critical thinking. It is a way to raise the formation of desirable mathematical dispositions by actively participating in modeling activities. It is proved that mathematical modeling activities quantitatively and qualitatively affect elementary school students's mathematical learning. Therefore, Educators may recognize the applicability of mathematical modeling on elementary school, and consider changing elementary teaching-learning methods and environment.

• Journal of Elementary Mathematics Education in Korea
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• v.1 no.1
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• pp.1-16
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• 1997

Children should have opportunities to experience problem solving individually with strategies for developing their problem solving abilities. To make an instructional design for individual teaming, problem solving activities were classified into categories like individual activities, individual activities within a group, and team teaching. A flow of teaching and teaming process was designed before, and concrete and semi-concrete materials were used in an experimental teaching, which was analysed in this research.

• Communications of Mathematical Education
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• v.23 no.1
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• pp.73-83
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• 2009

Mathematics Olympiad aims to identify and encourage students who have superior ability in mathematics, to enhance students' understanding in mathematics while stimulating interest and challenge, to increase learning motivation through self-reflection, and to speed up the development of mathematical talent. Participating mathematical competition, students are going to solve a variety of types of mathematical problems and will be able to enlarge their understanding in mathematics and foster mathematical thinking and creative problem solving ability with logic and reasoning. In addition, parents could have an opportunity valuable information on their children's mathematical talents and guidance of them. Although there should be presenting diversified mathematical problems in competitions, the real situations is that resent most mathematics Olympiads present mathematical problems which narrowly focus on types of solving problems. In order to diversifying types of problems in mathematics Olympiads and making mathematics popular, this study will discuss a Olympiad for problem solving ability, a Olympiad for exploring mathematics, a Olympiad for task solving ability, and a mathematics fair, etc.

• School Mathematics
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• v.4 no.4
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• pp.565-580
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• 2002

연구자들은 학생들에게 문제해결 전략을 지도하는 것이 학생들의 문제해결력을 신장시켜 준다는 보고하고 있다. 이와 같은 연구결과를 배경으로 수학 교과서를 통하여 문제해결 전략을 지도하려는 시도들이 미국을 비롯하여 한국에서도 있어 왔다. 본 논문은 문제해결 전략을 교과서에 제시할 수 있는 가능한 세 가지 모델들을 논의하고, 미국과 한국의 수학교과서에서 문제해결 전략을 제시하는 방법을 분석하였다. 한 가지 모델은 문제해결 전략에 한 단원을 할애하는 것이다. 두 번째 모델은 각 수학내용을 지도하는 단원에 문제해결 전략의 지도를 위한 하위단원을 할당하는 것이다. 마지막, 세 번째 모델은 문제해결 전략 지도를 위한 특정 단원이나 하위 단원을 설정하는 것이 아니라 가능한 많은 쪽에 전략을 제시하는 것이다. 위에 언급한 세 가지 가능한 모델을 바탕으로 미국과 한국의 초등학교 수학교과서에서 문제해결 전략을 제시하는 양상을 비교하였다. 이 비교를 위하여 각 학년별로 제시되는 모든 전략들을 교과서와 교사용 지도서를 토대로 추출하였다. 각 교과서에서 전략을 제시한 양식을 비교한 결과 다음과 같은 결론을 얻게 되었다. 한국의 수학교과서는 전형적으로 첫 번째 모델의 양식으로 문제해결전략을 제시하고 있었다. 각 단원마다 별개의 문제해결 전략이 제시되었다. 또한, 학년별 지도 전략을 살펴보면 학년별로 연계성이 있게 전략이 제시 되었다기 보다는 학년별로 다른 다양한 전자의 지도에 중점을 둔 듯하다. 미국의 수학교과서는 두 번째 모델과 세 번째 모델의 중간적인 양식으로 문제해결 전략을 제시하고 있다. 즉, 각 단원마다 문제해결 전략 지도를 위한 하위 단원을 지정하였으며 필요한 경우에는 본 단원의 주 학습요소와 관련된 문제해결 전략은 단원 중에도 제시되고 있었다. 따라서, 차기 수학교과서 개정시기에는 세 번째 모델을 그 모형으로 삼아 문제해결 전략들을 제시하는 방안을 강구해야 할 것으로 기대된다.

• Communications of Mathematical Education
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• v.8
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• pp.107-119
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• 1999

본 연구의 목적은 문제중심 수업과 설명식 수업이 학생들의 학업 성취에 미치는 효과를 분석하는 것이다. 본 연구를 통하여 얻은 결과는 첫째, 문제중심 수업과 설명식 수업은 계산 문제의 학업 성취도에 있어서 유의미한 차이가 없었으며, 둘째, 문제중심 수업과 설명식 수업은 적용 문제의 학업 성취도에 있어서 유의미한 차이가 있었다. 본 연구의 결과를 통하여, 문제중심 수업은 계산력을 향상시킬 수는 없었지만, 교사에 의한 통상적인 지도 없이도 계산력은 유지될 수 있음을 보여주었다. 또한, 문제중심 수업은 설명식 수업보다 문제 해결력을 향상시킬 수 있는 교수법임을 시사한다.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.2
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• pp.401-420
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• 2010

The purpose of this research is to find out effectiveness of geometry learning through spatial reasoning activities on mathematical problem solving ability and mathematical attitude. In order to proof this research problem, the controlled experiment was done on two groups of 6th graders in N elementary school; one group went through the geometry learning style through spatial reasoning activities, and the other group went through the general geometry learning style. As a result, the experimental group and the comparing group on mathematical problem solving ability have statistically meaningful difference. However, the experimental group and the comparing group have not statistically meaningful difference on mathematical attitude. But the mathematical attitude in the experimental group has improved clearly after all the process of experiment. With these results we came up with this conclusion. First, the geometry learning through spatial reasoning activities enhances the ability of analyzing, spatial sensibility and logical ability, which is effective in increasing the mathematical problem solving ability. Second, the geometry learning through spatial reasoning activities enhances confidence in problem solving and an interest in mathematics, which has a positive influence on the mathematical attitude.

• Journal of the Korean School Mathematics Society
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• v.14 no.2
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• pp.163-178
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• 2011

The mathematics curriculum revised in 2007 includes 'problem fabrication'. So it is necessary to analyse the texts how much they include problem fabrication. In mathematics, problem fabrication and problem solving interact and stimulate each other. Also the main purpose of problem fabrication is to improve the students' problem solving. There are 16 different texts of grade 7 algebra which contain problems concerning 'problem fabrication'. We count the number of such problems in each sections. Also we divide problem fabrication into five types. Then we count the number of problems in each type and its frequencies in a section.

• Journal of Elementary Mathematics Education in Korea
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• v.5 no.1
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• pp.77-98
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• 2001

This study has a purpose to find out how the problem posing activity by presenting the problem situation effects to the mathematical problem solving ability. It was applied in two classes(Experimental group-35, Controlled group-37) of the fourth grade at ‘D’ Elementary school in Bang Jin Chung nam and 40 Elementary school teachers working in Dang Jin. The presenting types of problem situation are the picture type, the language type, the complex type(picture type+ language type), the free type. And then let them have the problem posing activity. Also, We applied both the teaching-teaming plan and practice question designed by ourself. The results of teaching and learning activities according to the type of problem situation presentation are as follows; We found out that the learning activity of the mathematical problem posing was helpful to the students in the development of the mathematical problem solving ability. Also, We found out that the mathematical problem posing made the students positively change their attitude and their own methods for mathematical problem solving.