• Journal of Educational Research in Mathematics
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• v.8 no.2
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• pp.509-526
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• 1998

school mathematics is based on the premise that teacher have extensively complex mathematics content and pedagogical content knowledge to employ teaching to facilitate students' conceptualization of mathematics knowledge. In this paper we have presented the realities of teacher education program about several countries and three source area in teaching school mathematics. As a result we suggest that for developing mathematics teacher education First, communities have to hold teachers in high esteem due to confucian heritage. Second, our university have t provide one year internship for training for practices and the use of interactive multimedia simulation. Third, college courses have to help students discard misunderstanding knowledge and briefs about mathematics and pedagogy they bring to the university. Fourth, our country have to reform teacher education system. Fifth, the government have to pay the tuition costs for more students.

• Journal of the Korean School Mathematics Society
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• v.8 no.2
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• pp.223-248
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• 2005

This study is to survey and analyze the opinion of teachers about the relevance of educational content in the 7th mathematics curriculum. For the purpose of this study, we analyze the result of the questionnaire survey which consists in the question about the relevance(Quantity, level, validity) of educational content in the 7th mathematics curriculum. 515 elementary school teachers, 314 middle school teachers, and 323 high school teachers are participated in this survey. 75 percent of elementary school teachers think that the educational quantity must be reduced for the relevance of educational content. So do 50 percent of secondary school teachers. Both of them think that the number of topic must be reduced for the relevance. In special, this study shows that the response rate about the object which is related with interest is very low compared with any other mathematics education objects. So, it is necessary to pay more attention to the object which is related with interest.

• The Journal of the Korea Contents Association
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• v.14 no.5
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• pp.512-523
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• 2014

The purpose of this study is to provide useful information for improving interaction between teacher and student by analysing gifted class in mathematics with the Flanders Category System. Research questions are as follow. In gifted class in mathematics, How is the result of analysis regarding interactions between the teacher and students, according to 1) Flanders' Coding system? 2) Flanders' language pattern? 3) Flanders' Index system? For this, 3 gifted classes in mathematics were recorded by video camera and analyzed by Advanced Flanders(AF) analysis program version 3.54. Results are as follow. 1) Code Category Analysis mostly consists of lecture, voluntary speaking and chaos, silence work. 2) Most class patterns are not in accordance with effective class pattern models. So teacher needs to accept student's opinion actively and give appropriate feedback. 3) In Indices Results, revised I/d ratio, teacher's question ratio, student's speaking ratio, Student question and wide answer ratio are higher than analysis standard, indirect ratio is lower than analysis standard.

• Journal of Educational Research in Mathematics
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• v.22 no.2
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• pp.163-178
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• 2012

The efforts to represent the numbers based on the decimal system give us fundamental understanding to construct and teach the concept network on the related knowledge of elementary and secondary school mathematics. In the process to represent natural numbers, integers, rational numbers, real numbers as decimal system, we will classify the extended decimal system. Moreover we will obtain the view to classify real numbers. In this paper, we will study the didactical significance of mathematical knowledge, which arise from process to represent real numbers as decimal system, starting from decimal system representation of natural numbers, and provide the theoretical base about the classification of real numbers. This study help math teachers to understand school mathematics in critical inside-measurement and provide the theore tical background of related knowledge. Furthermore, this study provide a clue to construct coherent curriculum and internal connections of related mathematical knowledge.

• 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 Gifted/Talented Education
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• v.17 no.1
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• pp.77-98
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• 2007

It has been said that the level of teacher professionalism determines the quality of education. The same notion allies for gifted education. Therefore, exploration of teacher professionalism in gifted education may provide fundamental bases for raising the quality of gifted education. In this study, first, literature review was conducted to extract elements of teacher professionalism in gifted education and a survey instrument was developed to find out categories of those elements and differences of teacher perception to professionalism at school levels and subject areas of gifted education. Research subjects included 212 teachers who participated in 2005 KEDI teacher training program of gifted education, 60 hour-clock introductory program and 232 teachers who participated in 2005 KEDI teacher training program of gifted education, 120 hour-clock enrichment program. It was found that elements of teacher professionalism in gifted education were categorized into knowledge-based, abilitybased and context-based. It was also found that secondary school teachers' perception to knowledge-based professionalism was significantly higher than those at elementary and science teachers' perception to ability-based and context-based professionalism was significantly higher than mathematics teachers. The research findings may provide insights for better teacher training program in gifted education as well as gifted education policies.

• The Mathematical Education
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• v.45 no.1 s.112
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• pp.105-121
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• 2006

The purpose of this study is to investigate preservice secondary mathematics teachers' knowledge about graphical representation and provide implications for better mathematics teaching and learning in our schools. For this purpose, sixty-three preservice teachers were selected and given diverse graphical representation problems of y=1, y=x, x=0, $x^2+y^2=1$. All preservice teachers completed two types of questionnaires. First type is about constructing the graphs of the above each equation, and the second one is to make them find the appropriate graphs from given examples of the each equation. The results indicated that all the participant pre service teachers were unable to construct graphs in terms of various dimensions and various direction of coordinate axis. All of the participants represented the graph of each equation on only two-dimensional coordinate system. In addition, some preservice teachers believed that the axis of coordinates have to be x-axis on horizontal line and y-axis on vertical line. From this study, it is implicated that pre service teacher education program needs to provide the experience of representing the graphs of equation in terms of various dimensions and various direction of coordinate axis so as to develop their future students the flexibility and creativity in mathematical thinking especially in the area of space perception.

• Journal of the Korean School Mathematics Society
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• v.8 no.2
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• pp.117-143
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• 2005

This study is aimed at checking on the extent of practical use of CAI in mathematical classes in secondary schools, thus seeking a way of activating the practical use of CAI, with computer networks being widely used for education. This research was conducted among some 120 mathematics teachers and 350 students in middle and high schools in the City of Kunsan, with questionnaires designed to survey the extent and effectiveness of the use of CAI, the teachers and students' awareness of CAI. In consequence, this research shows the following: The use of CAI was of considerable help in conducting mathematics classes, along with CAI used in a more effective way, but education materials concerning CAI were poorly managed and not a few teachers was negative toward the use of CAI in mathematics classes. In short, the practical use of CAI was unsatisfactory, probably due to the lack of application ability on the part of teachers caused by the perfunctory teachers' training. In conclusion, the practical use of CAI in classes can be activated as follows: CAI apparatuses and other teaching aids should be systematically managed by experts; high-quality CAI programs need to be developed to help teachers conduct effective classes; teachers should be positively encouraged to make practical use of CAI through teachers' training and a plan of obligating teachers to use CAI for one or two fixed class hours in a week may be strongly recommended.

• Journal of the Korean School Mathematics Society
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• v.9 no.2
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• pp.179-193
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• 2006

The aim of this paper is to explore and understand, using in-depth interviews, the participant's enthusiasm for and involvement in studying mathematics and the deeper nature of his/her interest in mathematics teaching. In addition a larger aim is to understand how the individual's interest in mathematics and teaching are linked to his/her larger personal fulfillment. We conducted in-depth interviews with 4 pre-service teachers' subjective experiences focusing on deep motivation, pedagogical content knowledge, inner vision. Interviews focus much more on the participant's spontaneous feeling, consciousness, and state as these arise in the interview, and on past foiling, consciousness and state as they appear to the participant subjectively retrospectively in his/her memory. The output of this research consists of 2 portraits out of 4 individual participants, highlighting and conceptually developing the specific aspects under study; different ways in which individuals' involvement with the subject area affects their motivation, inner visions and academic efforts toward becoming teachers. Larger aspects of pre-service teachers' subjective experiences were sketched by contrasting the two cases. Several suggestions were put at the end to enhance mathematics education concerning curriculum development.

• The Journal of the Korea Contents Association
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• v.10 no.4
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• pp.447-457
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• 2010

Mathematical principle is present in artwork or architectural building. It is important for middle school students to find these mathematical principles in artwork. But it is difficult to achieve original purpose of art education through student activity that only looks for mathematical principle present in artwork and architectural building. Thus, it is necessary for students to have activities to find mathematical principle in artwork for themselves through artistic experience and appreciation of artwork and to create, appreciate and express new artwork to which they apply the mathematical principle. In this article, I researched a couple of artwork or architectural buildings from this point of view in which mathematical principle is present. I also developed hypothetical teacher activities and student activities for program by providing artwork of Escher in which mathematical principle is present as an example.