• Journal of Educational Research in Mathematics
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• v.23 no.3
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• pp.313-333
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• 2013

In this research, the researchers constructed a survey questionnaire for measuring the multicultural competence of Korean mathematics teachers and administered the survey to 309 mathematics teachers. The analysis indicates that Korean mathematics teachers' level of multicultural competence is rather low (the mean is 2.636 and the standard deviation .290). In particular, the mean of the multicultural competence related to mathematics was lower than the mean of the multicultural competence in general. Moreover, there was no significant difference between the groups according to the length of teaching experience, the participation into the course in multicultural teacher education, and the experience of indirect exposure to people of different cultural background. On the contrary, the experience of direct exposure to people of different cultural background and teachers' major led to a significant difference in the within group comparison. Moreover, the analysis showed that mathematics teachers' level of competence in subject matter had significant impact on their teaching practice responsive to students' backgrounds. Based on the results, the researchers presented implications for the development of multicultural mathematics teacher education to enhance mathematics teachers' competence required for their teaching in culturally diverse school.

• Journal of Educational Research in Mathematics
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• v.25 no.2
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• pp.139-155
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• 2015

This study aimed to investigate teacher learning in the context of a community. For the purpose of this study, two research questions about the kinds of teacher noticing in a community and the role of partnership were addressed. To build a learning community, a professional development project, PRIME, established partnerships with 11 high schools and one of the cluster meetings were investigated in this study. Three mentor teachers, three preservice teachers, and one university supervisor participated in the cluster meeting. For this study, the multiple data such as audio tapes of cluster meetings, observation notes, and interviews were analyzed using the analysis of narratives. The results showed that the participants engaged in different kinds of noticing of their own beliefs about teaching and learning, teacher practices, and teacher identities including noticing of students' understanding in classroom situations. The partnership played the crucial role of reinforcing relationships among teachers, assigning tasks, and creating various communities.

• Journal of the Korean School Mathematics Society
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• v.9 no.1
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• pp.105-120
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• 2006

The Seventh Curriculum makes sure that those students who don't have a proper understanding of contents required at a certain stage take a remedial course. But a trend contrary to the intention is formed since there is no systematic education for such a course and thus more students get to fall into the group of low achievement. In particular, solving a simultaneous equation in a rote way without understanding influences negatively students' achievement. Schoenfeld introduced the basic elements of one's own mathematical problem solving process and behavior, referred to Polya's. Employing Schoenfeld's strategy, this study aimed to induce students' active participation in math classes, as well as to focus on a mathematical problem solving process during the study. Two students were selected from a remedial course at 00 Middle School and administered with a qualitative case study method over 17 lessons, each of which lasted for 30 minutes. In the beginning, they used such knowledge as facts and definitions a lot. There was a tendency of their resorting to intuitive knowledge more when they lacked basic knowledge or met with a difficult question. As the lessons were given, however, they improved their ability to implement algorithm procedures and used more familiar ones with the developed common procedures in the area of resources.

• Communications of Mathematical Education
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• v.27 no.1
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• pp.63-80
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• 2013

Reflecting the recent trends and needs of gifted education, this study set out to compare and analyze mathematically gifted elementary students and common students in self-efficacy and career attitude maturity, understand the characteristics of the former, and provide assistance for career education for both the groups. The subjects include 237 mathematically gifted elementary students and 221 common students in D Metropolitan City. The research findings were as follows: First, mathematically gifted elementary students turned out to have higher self-efficacy than common students at the significance level of .01 in the three self-efficacy subfactors, namely confidence, self-regulated efficacy, and task difficulty preference. The findings indicate that mathematically gifted elementary students have much confidence in themselves and strong faith in themselves, thus forming a habit of preferring a relatively high-level task by taking self-management and task difficulty into proper consideration. Second, mathematically gifted elementary students showed higher overall career attitude maturity than common students. There was significant difference at the significance level of .01 in decisiveness and preparedness between the two groups and significant difference at the significance level of .05 in assertiveness. However, there was no statistically significant difference in purposefulness and independence between the two groups. Finally, there were positive correlations at the significance level of .01 between all the subfactors of self-efficacy and those of career attitude maturity in all the subjects except for self-regulated efficacy and purposefulness, between which there were positive correlations at the significance level of .05. The mathematically gifted elementary students showed positive correlations between more subfactors of self-efficacy and career attitude maturity than common students. Given those findings, it is necessary to take differences in self-efficacy and career attitude maturity between mathematically gifted elementary students and common students into account when organizing and running a curriculum. The findings confirm the importance of providing students with various experiences fit for them and point to a need for helping mathematically gifted elementary students maintain a high level of self-efficacy and guiding them through career education with more appropriate career attitude maturity improvement programs.

• Korean Journal of Childcare and Education
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• v.14 no.1
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• pp.269-286
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• 2018

Objective: The purpose of this study was to clarify the influences of constructivist educational beliefs and eco-friendly teaching attitudes on early childhood teachers' mathematics teaching efficacy. This study also examined the mediating effect of eco-friendly attitudes on the relationship between the other two variables. Methods: A total of 399 teachers teaching 3,4 and 5-year-olds in Seoul, Gyeonggi and Incheon participated in this study. The data were analyzed using the SPSS Win 21.0 program and the Sobel test. Results: First, mathematical teaching efficacy of early childhood teachers was significantly correlated with constructivist educational beliefs and eco-friendly teaching attitudes. Second, with teacher's career as the control variable, constructivist educational beliefs have more influence in mathematical teaching efficacy than the other variable. Third, eco-friendly teaching attitude partially mediated between the other two variables. Conclusion/Implications: The results of this study imply that constructivist educational beliefs and eco-friendly teaching attitudes are important factors on mathematics teaching efficacy. It is expected that it will be used as basic data for various programs that increase constructivist educational beliefs and eco-friendly teaching attitudes.

• The Mathematical Education
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• v.31 no.2
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• pp.109-119
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• 1992

The primary purpose of the present study is to provide the sources to improve the mathematical problem solving performance by analyzing the effects of the belief systems and the misconceptions of the middle school students in solving the problems. To attain the purpose of this study, the reserch is designed to find out the belief systems of the middle school students in solving the mathematical problems, to analyze the effects of the belief systems and the attitude on the process of the problem solving, and to identify the misconceptions which are observed in the problem solving. The sample of 295 students (boys 145, girls 150) was drawn out of 9th grade students from three middle schools selected in the Kangdong district of Seoul. Three kinds of tests were administered in the present study: the tests to investigate (1) the belief systems, (2) the mathematical problem solving performance, and (3) the attitude in solving mathematical problems. The frequencies of each of the test items on belief systems and attitude, and the scores on the problem solving performance test were collected for statistical analyses. The protocals written by all subjects on the paper sheets to investigate the misconceptions were analyzed. The statistical analysis has been tabulated on the scale of 100. On the analysis of written protocals, misconception patterns has been identified. The conclusions drawn from the results obtained in the present study are as follows; First, the belief systems in solving problems is splited almost equally, 52.95% students with the belief vs 47.05% students with lack of the belief in their efforts to tackle the problems. Almost half of them lose their belief in solving the problems as soon as they given. Therefore, it is suggested that they should be motivated with the mathematical problems derived from the daily life which drew their interests, and the individual difference should be taken into account in teaching mathematical problem solving. Second. the students who readily approach the problems are full of confidence. About 56% students of all subjects told that they enjoyed them and studied hard, while about 26% students answered that they studied bard because of the importance of the mathematics. In total, 81.5% students built their confidence by studying hard. Meanwhile, the students who are poor in mathematics are lack of belief. Among are the students accounting for 59.4% who didn't remember how to solve the problems and 21.4% lost their interest in mathematics because of lack of belief. Consequently, the internal factor accounts for 80.8%. Thus, this suggests both of the cognitive and the affective objectives should be emphasized to help them build the belief on mathematical problem solving. Third, the effects of the belief systems in problem solving ability show that the students with high belief demonstrate higher ability despite the lack of the memory of the problem solving than the students who depend upon their memory. This suggests that we develop the mathematical problems which require the diverse problem solving strategies rather than depend upon the simple memory. Fourth, the analysis of the misconceptions shows that the students tend to depend upon the formula or technical computation rather than to approach the problems with efforts to fully understand them This tendency was generally observed in the processes of the problem solving. In conclusion, the students should be taught to clearly understand the mathematical concepts and the problems requiring the diverse strategies should be developed to improve the mathematical abilities.

• Education of Primary School Mathematics
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• v.16 no.2
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• pp.123-145
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• 2013

This study was expected to yield the meaningful conclusions from the experimental group who took lessons based on inductive activities using GeoGebra at the beginning of proof learning and the comparison one who took traditional expository lessons based on deductive activities. The purpose of this study is to give some helpful suggestions for teaching proof to mathematically gifted elementary students. To attain the purpose, two research questions are established as follows. 1. Is there a significant difference in proof abilities between the experimental group who took inductive lessons using GeoGebra and comparison one who took traditional expository lessons? 2. Is there a significant difference in proof attitudes between the experimental group who took inductive lessons using GeoGebra and comparison one who took traditional expository lessons? To solve the above two research questions, they were divided into two groups, an experimental group of 10 students and a comparison group of 10 students, considering the results of gift and aptitude test, and the computer literacy among 20 elementary students that took lessons at some education institute for the gifted students located in K province after being selected in the mathematics. Special lesson based on the researcher's own lesson plan was treated to the experimental group while explanation-centered class based on the usual 8th grader's textbook was put into the comparison one. Four kinds of tests were used such as previous proof ability test, previous proof attitude test, subsequent proof ability test, and subsequent proof attitude test. One questionnaire survey was used only for experimental group. In the case of attitude toward proof test, the score of questions was calculated by 5-point Likert scale, and in the case of proof ability test was calculated by proper rating standard. The analysis of materials were performed with t-test using the SPSS V.18 statistical program. The following results have been drawn. First, experimental group who took proof lessons of inductive activities using GeoGebra as precedent activity before proving had better achievement in proof ability than the comparison group who took traditional proof lessons. Second, experimental group who took proof lessons of inductive activities using GeoGebra as precedent activity before proving had better achievement in the belief and attitude toward proof than the comparison group who took traditional proof lessons. Third, the survey about 'the effect of inductive activities using GeoGebra on the proof' shows that 100% of the students said that the activities were helpful for proof learning and that 60% of the reasons were 'because GeoGebra can help verify processes visually'. That means it gives positive effects on proof learning that students research constant character and make proposition by themselves justifying assumption and conclusion by changing figures through the function of estimation and drag in investigative software GeoGebra. In conclusion, this study may provide helpful suggestions in improving geometry education, through leading students to learn positive and active proof, connecting the learning processes such as induction based on activity using GeoGebra, simple deduction from induction(i.e. creating a proposition to distinguish between assumptions and conclusions), and formal deduction(i.e. proving).

• Korean Journal of Logic
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• v.14 no.2
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• pp.1-38
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• 2011

Bernays has not drawn scholarly attention that he deserves. Only quite recently, the reevaluation of his philosophy, including the projects of editing, translating, and reissuing his writings, has just started. As a part of this renaissance of Bernays studies, this article tries to distinguish carefully between Hilbert's and Bernays' views regarding the axiomatic method. We shall highlight the fact that Hilbert was so proud of his own axiomatic method on textual evidence. Bernays' estimation of the place of Hilbert's achievements in the history of the axiomatic method will be scrutinized. Encouraged by the fact that there are big differences between the early middle Bernays and the later Bernays in this matter, we shall contrast them vividly. The most salient difference between Hilbert and Bernays will shown to be found in the problem of the uniformity of the axiomatic method. In the same vein, we will discuss the later Bernays' criticism of Carnap, for Carnap's project of philosophy of science in the late 1950's seems to be a continuation and an extension of Hilbert's faith in the uniformity of the axiomatic method.

• Journal of Korean Home Economics Education Association
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• v.25 no.1
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• pp.55-66
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• 2013

The purposes of this study were to examine major satisfaction and career decision level of Home Economics Education major college students, to investigate factors influencing on major satisfaction and career decision level, and to provide basic informations for career counseling. A survey was conducted to students majoring Home Economics Education at four universities, and students majoring Korean Language Education and Mathematics Education at one same university in Seoul from October to November, 2011. General satisfaction in major of Home Economics Edu. students was above average, but social perception satisfaction was low. The social perception satisfaction was lower for Home Economics edu. students than Korean Language edu. and Mathematics edu. students. There were significant differences in major satisfaction by university and class standing, but no significant difference by gender. Students showed the lowest value in Home Economics teacher as considering job, and most of students considered teacher and major unconcerned job. Students considering major concerned job showed higher major satisfaction compared to students considering major unconcerned job. Career decision level was medium and there were not significant differences in career decision level by major, university, class standing, gender, considering job. Career decision level was affected positively by only general satisfaction in major.