• Journal of Educational Research in Mathematics
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• v.14 no.2
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• pp.187-205
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• 2004

The purpose of this study is to examine the relationships among attitude towards mathematics, mathematics activity, and mathematics achievement, and compare the relationship between the United States and Korea using the Third International Mathematics and Science Study (TIMSS) database. Since Korea is one of the countries where performance was among the highest and the United States is one of countries where performance was among the middle in mathematics, and many previous researchers reported that attitude towards mathematics and class activities are factors that affect mathematics achievement. the comparison study between two countries would be very important to analyze how factors are affected by country difference. The major research questions are as follows: (1) What constitutes attitude towards mathematics and mathematics activities in the TIMSS database\ulcorner (2) How do these two variables, attitude towards mathematics and mathematics activities, affect mathematics achievement differently between the United States and Korea\ulcorner The result indicates that the relationship between the attitude towards mathematics and the mathematics achievement is stronger for Korea than for the United States; however no country difference is found between the mathematics activities and mathematics achievement. According to this study high mathematics achievement is expected when students' attitude towards mathematics is positively high.

• Communications of Mathematical Education
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• v.18 no.1 s.18
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• pp.27-44
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• 2004

재량 활동을 위한 완벽한 자료의 개발을 기대하기는 어렵지만, 자료 개발의 바람직한 방향을 제시할 수 있는 자료의 개발과 보급이 절실하다. 이를 위하여 현직 교사들을 자료의 주 개발자로 하여 10개 학년별 수학 교육과정 6개 영역별 통합교과적 소재의 프로젝트 교수 ${\cdot}$ 학습 활동 자료를 개발하였다. 수학 교과 재량 활동 자료의 개발 과정에서 발견된 시사점과 개발된 자료의 특징을 살펴봄으로써 그 바람직한 활용 방안을 찾도록 한다.

• Communications of Mathematical Education
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• v.11
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• pp.235-250
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• 2001

수학적 지식이나 새로운 아이디어 탐구에 있어 종합적, 그리고 분석적 활동에 대한 관심은 그 역사가 매우 깊고, 최근에도 교수-학습 과정에서의 종합-분석적 활동을 효과적으로 활용하려는 연구가 활발하게 진행되고 있다. 본 연구에서는 최근의 연구까지의 연구 결과를 종합하여, 종합-분석적 활동의 본질을 개념화하고, 그 유형을 체계화함으로써 좀더 효율적인 수학 교수-학습을 위한 이론적 토대를 제공할 것이다.

• Communications of Mathematical Education
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• v.11
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• pp.403-414
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• 2001

공간 지각력의 개발 ${\cdot}$ 육성은 수학교육의 중요한 목표들 중의 하나이지만, 중등학교 수학 교과서를 분석해 보면, 공간 도형에 대한 조작적 활동의 경험은 매우 빈약하다. 특히, 중학교에서는 1학년에서 공간도형의 계량적 측면에 중심을 두고 취급하고 있지만, 이를 통해 수학교육에서 추구하는 교육목표를 달성하기는 어렵다. 본 연구에서는 중학교 학생들이 공간 도형에 대해 다각적인 측면에서 분석적이고 조작적 활동을 경험하며, 이를 통해 공간 도형에 대한 상상력, 그리고 공간 도형에서의 추론 활동 경험을 제공할 수 있는 학습 자료를 개발하여 제시할 것이다.

• Journal of Elementary Mathematics Education in Korea
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• v.11 no.2
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• pp.137-160
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• 2007

Within the field of mathematics education there is an active movement which attempts to apply more beneficial learning activities, like mathematical writing activities, for the students. In this context, the current study attempts to identify elementary school students' cognitive and affective aspects as they participate in a novel writing activity, the 'mathematical fairy tale.' Some positive outcomes from the mathematical fairy tale writing activities were as follows: First, from these mathematical writing activities, students began to reconstruct and adapt the mathematical contents they've learned through their reflective thinking. Second, while the mathematical fairy tale writing activities were going on, the communication of mathematics was greatly animated between the students, and they could get the restudying chance about they've learned. Third, from these mathematical writing activities, many of students became discover the practical using case of the mathematical contents they've learned and they perceived the necessity of the mathematics learning. Forth, from these mathematical writing activities, most of students felt the delights of the mathematics learning and the achievement, so they indicated that their attitude for the mathematics course was changed positively. Lastly, students began to concentrate on their mathematics learning through participation in mathematical fairy tale writing activities of their own accord.

• Education of Primary School Mathematics
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• v.16 no.3
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• pp.267-283
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• 2013

Mathematical justification is the process through which one's claim is validated to be true based on proper and trustworthy data. But it serves as a catalyst to facilitate mathematical discussions and communicative interactions among students in mathematics classrooms. This study is designed to investigate the effects of mathematical justification on students' problem-solving and communicative processes occurred in a mathematics classroom. In order to fulfill the purpose of this study, mathematical problem-solving classes were conducted. Mathematical justification processes and communicative interactions recorded in problem understanding activity, individual student inquiry, small and whole group discussions are analyzed. Based on the analysis outcomes, the students who participated in mathematical justification activities are more likely to find out various problem-solving strategies, to develop efficient communicative skills, and to use effective representations. In addition, mathematical justification can be used as an evaluation method to test a student's mathematical understanding as well as a teaching method to help develop constructive social interactions and positive classroom atmosphere among students. The results of this study would contribute to strengthening a body of research studying the importance of teaching students mathematical justification in mathematics classrooms.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.701-722
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• 2010

Students have to investigate, experiment and inquire using the manipulative materials and real-world thing for studying Geometry. Manipulative materials activities encourage to understand mathematical concept and connection of symbol. Experiment activities using the computer focused the student's intuitive and inquisitive activities because of visualization of an abstract mathematics concept. This study developed a workbook through the use of manipulative materials and computer for operating and experimenting, and suggested a method for inquiry of geometrical properties and proved an effect. Manipulative materials-experiment activities was proven effective to middle level and lower level students in understanding the geometrical properties, and was proven effective to high level and lower level students when it comes to mathematical communication ability. When students operate, at first, they have to know about the feature and information of the materials, and the teacher has to make an elaborate plan and encourages the students to discuss about this.

• Communications of Mathematical Education
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• v.30 no.2
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• pp.139-159
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• 2016

This study is the field of mathematics education on the assumption that they can extend outside the classroom. Recent mathematics education is increasing the importance of field experience and various activities based on real-life math education. Thus, it is necessary to consider this situation in pre-service teacher's education. The purpose of this study is to apply the 'Mathematics Field Trips Activities' in the pre-mathematics teacher education. So the specific case of 'Mathematics Field Trips Activities' was analyzed. Mathematics teachers conducted preliminary exploration activities on the historical cultural property which were effective in the following four aspects. First, cognitive effects and second, definitive effect. Third, cultural-mathematical effect. Fourth, the effect on improving math class. Finally they were summarized and divided into classes target content knowledge and teaching knowledge both sides. As a result, the 'Mathematics Field Trips Activities' were found to have significant effects on pre-service math teacher. Finally, ongoing research is needed to settle into a new teaching and learning methods.

• School Mathematics
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• v.15 no.1
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• pp.201-219
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• 2013

The purpose of this study was to analyse the belief about mathematics teaching of elementary preservice teachers and mathematics teachers. This study involved 100 respondents from the preservice teachers and 114 respondents from the mathematics teachers. The instruments used in this study consist 15 items of mathematical knowledges and 19 items of mathematical activities. The finding showed that preservice teachers emphasized the conceptual knowledge, whereas mathematics teachers emphasized the procedural knowledge in the mathematical knowledges. And preservice teachers emphasized the knowledge representation, knowledge generation, knowledge deliberation, knowledge communication, whereas mathematics teachers emphasized the use of knowledge(syntax) in the mathematical activities. Finally, even though two groups showed the significant difference in some items, preservice teachers and mathematics teachers emphasized the various mathematical knowledges and mathematical activities.

• School Mathematics
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• v.12 no.4
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• pp.531-545
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• 2010

This research is focusing on find out the learning method for mathematics underachievers of middle school. The tested method were metacognitive activity through writing. For conducting research, I had selected mathematics underachievers of middle school. After selecting them, I made two group. One group studied using CAS calculator with paper and pencil. And another group studied using paper and pencil only. Both groups exhibited metacognitive learning activities. The analysis of result shows that the group with CAS calculator did better than the group of paper and pencil.