• Journal of the Korean School Mathematics Society
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• v.11 no.3
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• pp.337-362
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• 2008

Nowadays the education of Mathematics is more important than any other courses in the school. But the most students have felt the difficulty and uncomfortableness in studying Mathematics, especially the geometry course. Moreover teachers also consider that the teaching of geometry is the hardest part of Mathematics. Therefore we suggest an effective method of teaching the geometry course for the middle school students. We provide the activity papers which contain mathematics problems based on the practical life of students. And we analyze the effects of the activity papers using the questionnaire.

• Education of Primary School Mathematics
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• v.20 no.3
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• pp.193-204
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• 2017

The purpose of the study was to investigate and develop a practical approach to integrating student-driven mathematical problems posing in mathematics instruction. A problem posing activity was performed during regular mathematics instruction. A total of 540 mathematical problems generated by students were recorded and analysed using systemic procedures and criteria. Of the problems, 81% were mathematically solvable problem and 18% were classified as error type problems. The Mathematically solvable problem were analysed and categorized according to the complexity level; 13% were of a high-level, 30% mid-level and 57% low-level. The error-type problem were classified as such within three categories: non-mathematical problem, statement or mathematically unsolvable problem. The error-type problem category was distributed variously according to the leaning theme and accomplishment level. The study has important implications in that it used systemic procedures and criteria to analyse problem generated by students and provided the way for integrating mathematical instruction and problem posing activity.

• Journal of the Korean School Mathematics Society
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• v.21 no.1
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• pp.63-89
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• 2018

In this study, the researcher developed a course integrated mathematical problem posing activities in order to enhance pre-service mathematics teachers' ability to carry out problem posing activities in mathematics classroom, and examined the changes of pre-service mathematics teachers' perceptions about problem posing through the course. The problem posing course developed in this study consisted of three stages: education on the theories regarding problem posing; activities with problem posing; development and implementation of problem posing tasks. According to the results of the questionnaires, interviews, and class journals data analysis, the problem posing experiences provided in this study were very effective in improving pre-service mathematics teachers' understanding of the problem posing strategies and the benefit of problem posing activities to student learning. Particularly, the experience in various problem posing activities and the implementation experience of problem posing provided in the course played a key role in the improvement of pre-service mathematics teachers' understanding of problem posing and PCK.

• Journal of Elementary Mathematics Education in Korea
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• v.8 no.1
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• pp.23-43
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• 2004

The purposes of this study are, by referring to various previous studies on problem posing, to re-construct problem posing steps and a variety of problem posing learning materials with a problem posing teaching-learning model, which are practically useful in math class; then, by applying them to 4-Ga step math teaming, to examine whether this problem posing teaching-learning model has positive effects on the students' problem solving ability and mathematical attitude. The experimental process consisted of the newly designed problem posing teaching-learning curriculum taught to the experimental group, and a general teaching-learning curriculum taught to the comparative group. The study results of this experiment are as follows: First, compared to the comparative group, the experimental group in which the teaching-teaming activity with problem posing was taught showed a significant improvement in problem solving ability. Second, the experimental group in which the teaching-learning activity with problem posing was taught showed a positive change in mathematical attitude.

• Journal of the Korean School Mathematics Society
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• v.21 no.3
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• pp.267-285
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• 2018

The purpose of this thesis is to analyze and compare 'Game Activities' of elementary mathematics textbooks developed in the national curriculum revised in 2015, and to find suggestions to improve 'Game Activities' of the textbooks based on the results. The main results of this study are as follows. First, as for materials, various types of materials were used in 'Game Activities'. Also, more various materials were included in 2nd grade textbooks and 1st, 2nd grade teacher's guidebooks than 1st grade textbooks. Second, this study analyzed the patterns of organization. The result showed that group and pair activities accounted for the highest rate among other patterns of organizations. Textbooks should include more pattern types of organizations that teachers could use them properly according to numbers of students in classes. For the 'Game Activities', students need to understand basic concepts of the chapter first. Students with lower levels would have difficulty participating in the 'Game Activities'. Thus, there is a need to include activities for students with lower levels in teachers' guidebooks, reflecting a variety of students levels.

• Journal of Educational Research in Mathematics
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• v.26 no.1
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• pp.1-22
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• 2016

This study aims to design an exemplification task to facilitate the students' creative thinking, and to investigate mathematical creativity which emerges from exemplification. In particular, we aim to identify the ways to design exemplification tasks which encourage creative thinking, and characterize mathematical creativity fostered by exemplification. The findings showed that the students' creative thinking related to fluency, flexibility, elaboration, and originality emerged through exemplification.

• Communications of Mathematical Education
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• v.12
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• pp.21-32
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• 2001

쌓기놀이는 유치원에서의 주요 활동이며, 유아들이 가장 선호하는 놀이일 뿐 아니라 교육적 가치도 크다고 보고 있다. 특히 쌓기놀이는 다양한 크기, 형태의 나무 적목을 사용하여 구성하게 되므로 공간 관계, 기하학적 도형, 대칭, 합동 등의 수학적 경험을 제공할 수 있다는 것이다. 그러나 교육현장에서의 쌓기놀이는 유아가 자유롭게 구조물을 만든 후 이를 극화놀이로 확장되어 전개되는데 그치고 있어 이를 통한 수학적 경험은 크게 기대할 수 없으며 우연적일 수 밖에 없다. 따라서 본 연구에서는 유아의 쌓기놀이를 보다 기하학적 사고와 탐색을 포함하는 교수-학습의 방안을 모색하고 현장 적용성을 검토하고자하였다. 본 연구의 내용은 유아의 쌓기놀이 활동에 기초한 기하학습의 모형을 설계하고, 이를 기초로 한 적용사례를 제시하는 것이다.

• 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.6 no.2
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• pp.21-37
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• 2003

In this paper, we improved, compared and analyzed the articulation of school mathematics. We also tried to form the theoretical basis of school mathematics by classifying and considering the articulation into vertical articulation and horizontal articulation depending on the meaning, and give an actual help. The articulation of school mathematics until now has been focused on a study of vertical articulation according to the macroscopic characteristic of mathematics, but now a study of the horizontal articulation as well as the vertical articulation should be done in consideration of the micro characteristics of mathematics and various realities of life by modifying a syllabus of the function unit and by using internet homepage. Thus, we structurally divided the articulation into vertical articulation and horizontal articulation, analyzed mathematical activities and presented actual models of each representative learning activity for smooth teaching in schools through the function unit.

• Communications of Mathematical Education
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• v.25 no.1
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• pp.221-243
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• 2011

The purpose of this study is to investigate activities of sharing learning objectives in mathematics lesson and by doing that, to draw some conclusions on sharing learning objectives in elementary school mathematics lessons. To gather data, 82 pre-service teachers who participated in 4-week teaching practicum were asked to record their mathematics lesson and to transcribe their teaching activities. Specifically by analyzing the data, suggestions on how to share the learning objectives in elementary school mathematics were drawn.