• Journal of Educational Research in Mathematics
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• v.26 no.4
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• pp.791-818
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• 2016

This case study is performed to check the validity of cognitive behavioral therapy for high school students with mathematics anxiety. In order to find out whether it is effective or not, one female high school student who suffers physically and mentally from mathematics anxiety was selected and cognitive behavioral therapy was applied. The therapy is applied to her for 30 to 40 minutes, once a week, and for eight weeks. The main themes were: To understand my problem, To write down thinking log, To set up a plan for actions, To experiment actions, To change intermediate confidence, To change core belief. To check the validity, before and after the experiment, revised version of Heo(1996)'s assessment tools for mathematics anxiety was applied. The subject was interviewed and the results of the therapy were compared and analyzed. According to the research, the worst mathematics anxiety of the subject was test anxiety. After the procedure, the anxiety related to mathematics and teachers was lessened. Especially, the subject had changed her mind and become more positive and optimistic on solving difficult mathematics problems. Therefore, the effectiveness of cognitive behavioral therapy on mathematics anxiety was confirmed. It is required to construct special program - about cognitive behavioral therapy, interactions of cognitive-affective causes, and group therapy - and check the validity of it.

• Journal of Educational Research in Mathematics
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• v.26 no.4
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• pp.683-700
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• 2016

The traditional teaching-learning in mathematics, which pursue only one correct answer, should be reexamined to cope with an age of uncertainty. In this research, Perry's epistemological development scheme was noticed as a theoretical approach to diagnose problems of dualistic mathematics lessons and to search solutions of the problems. And Design-Based Research method was adopted, We developed the epistemological development scheme through considering Perry's theory and related studies, scaffoldings and teaching-learning to enhance students' epistemological positions in mathematics. Based on these discussions we designed teaching experiment about operations with negative numbers, and analyzed its didactic implications.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.2
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• pp.357-377
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• 2014

The purpose of this study is to identify whether math class with clip-type contents has a significant impacts on the academic achievement and attitude of students. To answer the questions, two classes of 4th graders at Sinlim Elementary School in Gwanak-gu, Seoul were selected as subjects; they were divided into experimental group and comparative group. They were confirmed as a homogeneous group at the significance level of 0.05 during a pre-test. The findings are as follows. First, math class with clip-type contents had positive influence on the academic achievement. Second, math class with clip-type contents had positive influence on the attitude towards learning. Furthermore, proper clip-type contents for class boost their understanding and enhance their mathematical thinking with multiple views. It led to their self-confidence in learning math, developing a positive attitude towards math. The benefits of the present research can be summarized as follows. First, the math class with clip-type contents benefited both teachers and students. For teachers, it helped them boost the quality of their teaching. For students, it helped them understand the class better, improving their academic achievement. Second, the diverse, interesting contents had a positive impact on the following of the students: self-concept of math; attitude towards math; learning habits.

• Communications of Mathematical Education
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• v.32 no.3
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• pp.363-383
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• 2018

The subject of 'Mathematical Task Inquiry' was introduced newly in the curriculum revised in 2015. The subject is dealt with after completing the subject of 'mathematics' to be dealt with in the tenth grade. Its main content is comprised of the understanding and learning of the purpose and procedure of inquiry task and of study ethics, and its educational goal is to enforce the prior mathematical knowledge and to obtain the ability to select interesting topics that combine mathematics with other subjects. However the textbook of the subject does not exist, and teachers should handle with the subject with responsibility for their own ways. Because of this reason, this study is to develop an instruction model on project(task) inquiry model and materials. Namely, according to the model, students is guided to select and decide the subject of the task, and develop the task for themselves, solve it with peers in cooperation, and announce the solution and their feelings. During those students' exploration and activities, the role of teachers is to guide students to complete their work. By the way, in order to develop more creative tasks that is appropriate to their academic and cognitive level, this study conducted the experimentation for the subject of 9 students (6 girls and 3 boys), who are scheduled to advance to the 11 grade of J high school located in G domestic. The experimentation was consisted of three class and after the third class, the semi-structured interview was conducted immediately for the students.

• School Mathematics
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• v.6 no.3
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• pp.283-299
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• 2004

It is a very important objective of mathematical education to lead students to apply mathematics to the problem situations and to solve the problems. Assuming that mathematical modeling is appropriate for such mathematical education objectives, we must emphasize mathematical modeling learning. In this research, we focused what mathematical concepts are learned and what reasoning are applied and used through mathematical modeling. In the process of mathematical modeling, the students used several types of reasoning; deduction, induction and abduction. Although we cannot generalize a fact by a single case study, deduction has been used to confirm whether their model is correct to the real situation and to find solutions by leading mathematical conclusion and induction to experimentally verify whether their model is correct. And abduction has been used to abstract a mathematical model from a real model, to provide interpretation to existing a practical ground for mathematical results, and elicit new mathematical model by modifying a present model.

• Journal of Educational Research in Mathematics
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• v.24 no.3
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• pp.333-357
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• 2014

This study resulted from a study regarding creative STEAM System based upon an experiment with the center of gravity. The results of the study are constructed by a fusion of mathematics and physics, showing that they are the same as mathematical calculations. Also, students can find that center of gravity of an object is in equilibrium on a metal rod when the center of gravity exactly is placed on the rod. The fact that an experimental results are correspond to calculations can maximize the effectiveness of teaching. And also this study has the following effectiveness. First, the exact construction and calculations arouses good competition among students. Second, this experiment can give students a motivation for study and increase their thinking in classes because the theoretical background of center of gravity experiment is basically attributed to math and science classes in school. This study includes three different types of center-of-gravity experiments. One is a simple type of experiment in which center of gravity exists inside of an object. Another is a complicated one in which the center of gravity is also inside of an object. However, the third type is an experiment in where the center of gravity is outside of an object. Therefore, it gives students an opportunity to discuss how to confirm equilibrium on a metal rod when the object has its center of gravity outside. Having discussions in class will allow students to have a critical way of thinking. In addition, searching for a way to solve a problem will increase creativity of students as well. And the last type is finding the center of gravity of a big acrylic panel where multiple objects are on the panel. According to the survey and interview conducted by students who participated in this program, teaching based on creative STEAM system helps students to get a better understanding and more fast acquisition of knowledge. We can expect that a well-planned creative STEAM system through a continuous study will be both effective and efficient in educating critical and creative students.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.19 no.11
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• pp.473-480
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• 2018

This study is intended to look into the effects of children's forest math game activities on their understanding of number and space concept. To achieve this, an evaluation was carried out to 20 4-year-old children in each group - experimental group and control group - by an evaluation sheet after forest math game activities during a total of 16 sessions 4 times a week for 4 weeks. The findings are as follows. First, children's forest math game activities had an effect on their understanding of number and space concept. Second, the difference between experimental group and control group showed that the experimental group received higher evaluation in the classifying and order finding items than the control group. It was confirmed that classifying and order finding in the forest math game were factors to help children's mathematical problem-understanding abilities. This implies that their forest math game activities have a positive effect on their mathematical problem-understanding abilities. Consequently, active forest math game activities for children are needed to help them understand the concept of number in the process of classifying task objects and solving tasks in order.

• Journal for History of Mathematics
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• v.20 no.1
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• pp.83-102
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• 2007

A math class in Korean university was taught in English for one semester and the students' improvement was measured in math content and English proficiency. Pre and post test in 9 week intervals showed that math content loaming in the immersion class was superior to the non-immersed class. Especially, the immersion class showed remarkable improvement in difficult problems among math content test problems. The immersion class improved in math-related English, but not in general English. It is discussed that the particular English expressions for math are hardly separable from the math content knowledge in English because understanding and using those expressions correctly means the students' understanding of math concept in English and thus the math concept itself.

• Proceedings of the Korean Information Science Society Conference
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• 2011.06a
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• pp.233-236
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• 2011

일반적인 문서에 대한 정보 검색 연구는 활발히 진행되고 있으며, 일상 생활 속에서도 대중화되어 많이 사용되고 있다. 이에 따라 음성, 이미지 검색 등 특정 분야의 검색에 대한 연구도 활발히 진행되고 있지만, 수학식 검색에 대한 연구는 비교적으로 미비한 실정이다. 수학식 검색과 관련된 연구들은 대부분 MathML (Mathematical Markup Language), TeX 등으로 작성된 수학식을 대상으로 진행되었지만, 특정 언어나 별개의 수학 입력 툴들을 이용한 검색 방법은 일반 사용자들이 사용하기에는 쉽지 않다는 단점이 있다. 그래서, 본 논문에서는 일반 문서 검색과 마찬가지로, 수학식을 읽듯이 한글을 입력했을 때 색인어 추출 방법 및 검색 방법에 대해 제안한다. 실험을 위해서 수학 문제집에 나오는 1,432개의 수학식을 한글화 시켰고, 한글화된 결과에 대해 패턴 등을 추출하여 MRR (Mean Reciprocal Rank), $Rel_{EQ}$@N(Relevance evaluation at N)로 평가하였다. 100개의 한글 질의어에 대해 MRR@5로 계산된 수학식 검색 결과가 약 0.6 정도 되는 것을 확인할 수 있었고, 학습 데이터에 포함되지 않은 질의수학식 5개에 대해 $Rel_{EQ}$@5로 계산했을 때 평균 60% 의 정확률을 보였다.

• Journal of Educational Research in Mathematics
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• v.21 no.3
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• pp.279-294
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• 2011

The purposes of this study are to confirm the standard of ethical judgement ability of the mathematically gifted students and examine which factor makes on the ethical judgement ability among the mathematically behavior characteristics. For it, correlation analysis and regression analysis between the two things were conducted with SPSS 12.0 based on the results of mathematically behavior characteristic inspection and ethical judgement ability inspection. Also, the interview was conducted for students whose KDIT score is the highest and the results were intended to apply the results as the material supporting the results of qualitative test results. The interview with students examined which mathematically behavior characteristic factor made an effect on his own ethical judgement ability through the structural questionnaires.