• Education of Primary School Mathematics
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• v.3 no.1
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• pp.79-88
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• 1999

This paper shows how the social tradition and belief of korea on education affects teachers and students and learning. 1 Interview with teacher. During surveying this teacher's class, we knowed that the teacher have accentuated algorism loaming and preparation fur external examination in math class. Teacher's beliefs about mathematics have a strong effect on the method of class and the performance of problem solving 2. Interview with students and short test. 1) Students usually had fine ability of calculation for number. But Many pupils didn't know the meaning of the operations. 2) The most of pupils are good at routine math problem solving but when the question whose the condition don't meet was given, they experienced difficulties.3.Korean sociocultural specialty on education: The korean place high emphasis on education and think of education as the means of success. This emphasis can be traced to the Confucian view. 1) tradition on examination culture. 2) the traditional convention of the learning method. Korean sociocultural specialty on education play role of strengthen role learning and algorism class. The important things to education reformation are getting a balance between practice and understanding. we should make changes not only in national dimension but also in math class.

• 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 the Korean Data and Information Science Society
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• v.18 no.2
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• pp.429-438
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• 2007

Headache is one of the most common reasons for neurological consultation. Headache as many causes and symptoms. Therefore, screening method using questionaire is helpful in diagnosis of headache. This paper is to propose a medical diagnostic method to grasp patient's diseases using the relations between symptoms and diseases. For this purpose, we develop an interview chart assigned IF(intuitionistic fuzzy) grade with the relation among symptoms and three labels of headache. The method can be used to classify patient's tone of diseases with certain degrees of belief and its concerned symptoms.

• The Mathematical Education
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• v.47 no.3
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• pp.239-259
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• 2008

This paper is to find and to suggest alternative ways of description on function chapters in the middle school mathematics so that the descriptions be more closely related to daily life. The research has two phases: one for belief on the usefulness, the other for cognitive ability to solve the practical problems. Results are as following. 1. Most descriptions of corresponding chapters have emphases on the usefulness of functions so as to enhance beliefs on the use of functions. 2. Most practical functions contain expressions of large constant term and large coefficients in magnitude while those are not in the descriptions of tektbooks, especially in case of using ruled papers. 3. For quadratic functions, most students do not detect the degree of the function from the data presented by pairs of values of x and y. And those are not dealt with in most of textbooks, which are given in the MIC textbook.

• Journal of Educational Research in Mathematics
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• v.25 no.4
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• pp.549-569
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• 2015

Reflecting on own beliefs about teaching and learning, developed during "the apprenticeship of observation", is a central task for pre-service years. This case study analysed a lesson observation course which could identify, challenge pre-service teachers' folk pedagogy about classroom communications and induce to change of beliefs about teaching and learning. Our analysis shows that targeting and refuting pre-service teachers' specific belief may be an effective strategy for teacher educators to foster new teaching practice.

• Journal of the Korean School Mathematics Society
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• v.10 no.3
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• pp.303-322
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• 2007

This study is to investigate student's processes of problem solving using open-ended Geometric problems to understand student's thinking and behavior. One 8th grader participated in performing her learning in 5 lessons for June in 2006. The result of the study was documented according to Polya's four problem solving stages as follows: First, the student tended to neglect the stage of "understanding" a problem in the beginning. However, the student was observed to make it simplify and relate to what she had teamed previously Second, "devising a plan" was not simply done. She attempted to solve the open-ended problems with more various ways and became to have the metacognitive knowledge, leading her to think back and correct her errors of solving a problem. Third, in process of "carrying out" the plan she controled her solving a problem to become a better solver based on failure of solving a problem. Fourth, she recognized the necessity of "looking back" stage through the open ended problems which led her to apply and generalize mathematical problems to the real life. In conclusion, it was found that the student enjoyed her solving with enthusiasm, building mathematical belief systems with challenging spirit and developing mathematical power.

• Journal of Gifted/Talented Education
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• v.7 no.1
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• pp.31-50
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• 1997

'I'his study investigated students' attitude toward mathematics. and how behavior/cognitive training affects level of math anxietv and level of math achievement. Subjects were all the freshmen attending Taejon Science High School, and they were given Mathematics Attitudes Scale and Attributional Style Questionnaire prior to and post training sessions. Twenty out of 84 freshmen voluntarily participated in nine sessions of training program. Participants were asked to do self-evaluation. Math achievement was measured prior to and post training. and was compared between two groups. Training program utilized behavior/cognitive approach. such as understanding one's feeling through muscle relaxation, breathing and meditation; modifying negative attributional style; imitating effective cognitive strategies for math problem solving, and so on. 'I'he result shows that students' math confidence in general was relatively low out of expectation, a nd they perceived teachers not supporting their math abilities :IS much as expected. On the other hand, students in general had strong math achievelment needs, and considered math utility very high. Sex difference was seen in the attitude toward female math abilities, to result that female students had more positive perception than male students. Female students of 'I'aejon Science High School seem free from conventional idea about female abilities including theirs. Participants' ~attitude change was compared with non-participants. and participants showed statistically significant change in their math confidence, and also in their math achievement. Participants had much higher math confidence and ~achievement than non-participants. And, they showed increased level of perceiving teachers' expectation. more realistic in needs, and more involvement in math. Math achievement was found positively related to math confidence, and participants' math achievement change was explained by their belief in math utility. Not only training program effect hut also participants' voluntary involvement and teacher\ulcorner' support of the program and participation seem to increase their math achievement. Based upon the result of study it was suggested that behavior-/cognitive training program be provided along with academic curricula for gifted students of Korea to help their emotional and psychological development enhance the efficacy of their cognitive learning.

• Communications of Mathematical Education
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• v.22 no.1
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• pp.41-52
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• 2008

In this paper, some factors such as the perspective of children, instructional materials(especially activities in textbooks for elementary school mathematics), and teacher's questioning styles are discussed as ones influenced on students' immersion in leaner-centered instruction. This discussion is based on the author's two implementations of the kind of two instructions. About the first theme, constructivists assert that even children who are in elementary school can have reflective abstracting ability. Teachers' asking questions with the belief differ from ones with traditional perspective of children, which is relevant the third factor. They value and respect learners' thinking outcomes, even though they are not sometimes wrong and have errors. Also, they have them opportunities to think different from others and to ask how they get their answers. To do these, they frequently ask open-ended questions, not closed. All of them is possible through the activities provided in textbooks. Some characteristics which can prompt such teacher's questions using activities in elementary mathematics textbooks are discussed.

• Journal of The Korean Association For Science Education
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• v.40 no.4
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• pp.359-374
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• 2020

This study is a complex type consisting of survey study and self-study. The former investigated elementary teachers' epistemological beliefs on convergence knowledge and teaching. As a representative of the result of survey study I, as a teacher as well as a researcher, was the participant of the self-study, which investigated my epistemological belief on convergence knowledge and teaching and my execution of convergent science teaching based on family resemblance of mathematics, science, and physical education. A set of open-ended written questionnaires was administered to 28 elementary teachers. Participating teachers considered convergent teaching as discipline-using or multi-disciplinary teaching. They also have epistemological beliefs in which they conceived convergence knowledge as aggregation of diverse disciplinary knowledge and students could get it through their own problem solving processes. As a teacher and researcher I have similar epistemological belief as the other teachers. During the self-study, I tried to apply convergence knowledge system based on the family resemblance analysis among math, science, and PE to my teaching. Inter-disciplinary approach to convergence teaching was not easy for me to conduct. Mathematical units, ratio and rate were linked to science concept of velocity so that it was effective to converge two disciplines. Moreover PE offered specific context where the concepts of math and science were connected convergently so that PE facilitated inter-disciplinary convergent teaching. The gaps between my epistemological belief and inter-disciplinary convergence knowledge based on family resemblance and the cases of how to bridge the gap by my experience were discussed.

• Journal of the Korean School Mathematics Society
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• v.14 no.4
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• pp.423-442
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• 2011

The purpose of this study was to examine the effects of tasks setting for mathematical modelling in the complex real situations. The tasks setting(MMa, MeA) in mathematical modelling was so important that we can't ignore its effects to develop meaning and integrate mathematical ideas. The experimental setting were two groups ($N_1=103$, $N_2=103$) at public high school and non-experimental setting was one group($N_3=103$). In mathematical achievement, we found meaningful improvement for MeA group on modelling tasks, but no meaningful effect on information processing tasks. The statistical method used was ACONOVA analysis. Beside their achievement, we were much concerned about their modelling approach that TSG21 had suggested in Category "Educational & cognitive Midelling". Subjects who involved in experimental works showed very interesting approach as Exploration, analysis in some situation ${\Rightarrow}$ Math. questions ${\Rightarrow}$ Setting models ${\Rightarrow}$ Problem solution ${\Rightarrow}$ Extension, generalization, but MeA group spent a lot of time on step: Exploration, analysis and MMa group on step, Setting models. Both groups integrated actively many heuristics that schoenfeld defined. Specially, Drawing and Modified Simple Strategy were the most powerful on approach step 1,2,3. It was very encouraging that those experimental setting was improved positively more than the non-experimental setting on mathematical belief and interest. In our school system, teaching math. modelling could be a answer about what kind of educational action or environment we should provide for them. That is, mathematical learning.