• Journal of Elementary Mathematics Education in Korea
• /
• v.6 no.1
• /
• pp.1-21
• /
• 2002

Teachers' teaching behavior is directly influenced by teachers' belief, and students' belief system is directly influenced by teachers' teaching behavior. There has been a question whether curriculum of teacher training university could help preservice teachers form positive belief system. The purpose of this study was to address this issue empirically. First, a questionnaire about mathematical belief was given to freshmen preservice teachers. They generally showed positive belief about mathematics to the degree that is not satisfactory and responded most positively in the sub-area of teaching mathematics from three sub-areas of mathematics itself, studying mathematics, and teaching mathematics. After studying a mathematical philosophy course, the freshmen preservice teachers were given the same questionnaire that they responded before studying the course. Belief about mathematics itself was changed very positively, and increase in the sub-area of mathematics itself was the largest. These results show that the mathematical philosophy course helped preservice teachers form positive belief system in mathematics.

• Communications of Mathematical Education
• /
• v.34 no.1
• /
• pp.17-39
• /
• 2020

The purpose of this study is to analyze the mathematical beliefs of students and teachers by Latent Class Analysis(LCA). This study surveyed 60 teachers about beliefs of 'nature of mathematics', 'mathematic teaching', 'mathematical ability' and also asked 1850 students about beliefs of 'school mathematics', 'mathematic problem solving', 'mathematic learning' and 'mathematical self-concept'. Also, this study classified each student and teacher into a class that are in a similar response, analyzed the belief systems and built a profile of the classes. As a result, teachers were classified into three types of belief classes about 'nature of mathematics' and two types of belief classes about 'teaching mathematics' and 'mathematical ability' respectively. Also, students were classfied into three types of belief classes about 'self concept' and two types of classes about 'School Mathematics', 'Mathematics Problem Solving' and 'Mathematics Learning' respectively. This study classified the mathematics belief systems in which students were categorized into 9 categories and teachers into 7 categories by LCA. The belief categories analyzed through these inductive observations were found to have statistical validity. The latent class analysis(LCA) used in this study is a new way of inductively categorizing the mathematical beliefs of teachers and students. The belief analysis method(LCA) used in this study may be the basis for statistically analyzing the relationship between teachers' and students' beliefs.

• East Asian mathematical journal
• /
• v.32 no.2
• /
• pp.175-192
• /
• 2016

This study aimed to understand the needs of changes in the teaching-learning environment in the university and to develop the liberal art subject of mathematics. The changes of mathematical belief in the university students were investigated to understand how the liberal art subject of mathematics affected them related to mathematics. Upon the study results, the significant changes were occurred from the utility factor on the subject of mathematics in mathematical belief, the importance factor of the answers in the teaching-learning belief, teaching activity factor of the teachers, and inborn capability factor in the belief on the self-concept. The meaningful learning environment and teaching method for the liberal art subject of mathematics are suggested further by these results.

• School Mathematics
• /
• v.18 no.3
• /
• pp.691-709
• /
• 2016

Understanding the belief of mathematics pre-service teachers is essential in conducting and designing the effective teacher education program. This study analyzed the mathematical belief of the elementary school pre-service teachers. The results of the study are as follows. First, persistence factor, which is the belief about solving mathematical problems, following teacher direction factor, which is the belief about mathematical studies, activity involvement factor, and interest factor, which is the belief about self-concept, showed much connection with other mathematical belief factors. Second, the stereotype factor, which is the belief about mathematics, are affecting the following teacher direction factor. The process factor, which is the belief about solving mathematical problems, are affecting the activity involvement factor. Third, as for the comparison of the mathematical beliefs according to grades, only the stereotype and usefulness factors, which are the beliefs about mathematics, and the benefit factor, which is the belief about self-concept, had statistically significant differences. Fourth, as for the comparison of the mathematical beliefs according to majors, all the mathematical beliefs except for the confidence factor and benefit factor, which is the belief about self-concept, had significant differences. Based on the results of this study, we need to establish the mathematical beliefs that the elementary school pre-service teachers should have, and prepare various measures such as education program for pre-service teachers and instruction-learning methods.

• Journal of Elementary Mathematics Education in Korea
• /
• v.23 no.4
• /
• pp.365-382
• /
• 2019

This study aimed to analyze the moderated effects of mathematics test-preparation strategies in the relation between elementary school students' epistemological beliefs about mathematics and test anxiety. The moderated effects were tested by using structural equation modeling with the Ping's two-step approach. The subjects were 810 6th graders (411 male, 399 female) from 13 elementary schools situated in G Metropolitan City. Tests for epistemological beliefs about mathematics, test anxiety, and mathematics test-preparation strategies were used as measurement scales. The results of this study were as follows. The moderated effects of mathematics test-preparation strategies in the relation between epistemological beliefs about mathematics and test anxiety were statistically significant. Higher level of epistemological belief about mathematics were linked to lower level of test anxiety, while lower level of epistemological belief about mathematics led to an increased influence of test-preparation strategies levels on test anxiety. Students who had higher levels of epistemological belief about mathematics displayed lower level of test anxiety when using high levels of test-preparation strategies. Students who scored lower in the epistemological belief about mathematics had lower level of test anxiety when employing low levels of test-preparation strategies. Therefore, to lower the level of test anxiety among elementary students, the intervention program need to consider the appropriate levels of test-preparation strategies in accordance with each student's level of epistemological belief about mathematics.

• Education of Primary School Mathematics
• /
• v.21 no.3
• /
• pp.329-349
• /
• 2018

The purpose of this study is to investigate the mathematical belief of elementary school preservice teachers and elementary school teachers and to analyze their differences in mathematical belief. The results of the analysis are as follows. First, Elementary school preservice teachers generally regard the belief in the nature of mathematics as 'rules and procedures' and emphasize the 'process of inquiry' about the beliefs of learning mathematics. When comparing the beliefs according to gender, there is a significant difference only in the category of 'teacher instruction' among the beliefs of learning mathematics. Second, elementary school teachers generally regard the nature of mathematics as a 'inquiry process' and have a 'student-led' belief about the learning mathematics. There is no significant difference of the belief about the nature of mathematics and learning mathematics between the elementary school teachers by gender and majors. However, when comparing the mathematical beliefs according to educational level, there is a difference in beliefs about the nature of mathematics. Third, comparing the mathematical beliefs of elementary school preservice teachers and elementary school teachers, there is no statistically significant difference between the two groups in the 'rules and procedures' subcategories of the nature of mathematics, but there is a significant difference in 'inquiry process'.

• Journal of Educational Research in Mathematics
• /
• v.22 no.2
• /
• pp.229-259
• /
• 2012

The purpose of the present study is to develop instrument of mathematical belief of middle school and high school students and to analysis results of test using the instrument. Based on the results of literature review, mathematical belief is the cumulative effects of self-assessment and self-concept in mathematical learning and achievement experience. Four sub-components of mathematical belief is identified belief of school mathematics, belief of mathematical problem solving, mathematical self-concept, belief of mathematical teaching and learning. The instrument was developed to investigate mathematical belief by reflecting Korean middle school and high school students' psychological characters. To develop the appropriate items for the mathematical belief, after reviewing literature thoroughly, first version of the instrument was developed and exploratory factor analysis and confirmatory factor analysis were conducted. Then, to reduce the effect of the gender difference and achievement level difference, Correlation Analysis and 1-way ANOVA was performed. Also, using multiple group confirmatory factor analysis, this instrument was investigated to see whether this can be used for both middle school and high school. The final items for middle school students is consisted 7 items of belief of school mathematics, 9 items of belief of mathematical problem solving, 11 items of mathematical self-concept, 10 items of belief of mathematical teaching and learning. Instrument of mathematical belief for high school students is consisted 9 items of belief of school mathematics, 9 items of belief of mathematical problem solving, 11 items of mathematical self-concept, 11 items of belief of mathematical teaching and learning. This study examined the differences about mathematical belief's sub-factors shown by three groups of mathematics achievement level. Students of higher achievement level showed that the degree of most factors ware the highest excepting stereotype of belief of school mathematics. Also, Male students preferred more positive in mathematics belief than female students.

• Research in Mathematical Education
• /
• v.13 no.4
• /
• pp.267-296
• /
• 2009

We used the quantitative method to compare with Chinese junior middle school students' mathematics belief systems in Chaoxian and Han nationalities, and their correlations within its own group. By comparison, the results revealed that all students in Han and Chaoxian nationalities hold multiple beliefs, and their belief systems are not stable. In addition, there were some differences and similarities between their belief systems in two nationalities, and significant correlations were founded.

• Korean Journal of Childcare and Education
• /
• v.13 no.1
• /
• pp.185-200
• /
• 2017

Objective: This study was conducted to investigate the effects of early childhood teachers' teaching beliefs, mathematics teaching efficacy, and pedagogical content knowledge of mathematics on their teaching intention of mathematics. Methods: A total of 266 early child teachers in Busan participated in this study. They completed a set of question naires which consisted of questions about teaching beliefs, mathematics teaching efficacy, pedagogical content knowledge of mathematics, and the teaching intention of mathematics. The collected data were analyzed using the SPSS program. Results: First, we observed several positive correlations among the four variables. Second, we found that early childhood teachers' constructive teaching beliefs, mathematics teaching efficacy, and pedagogical content knowledge of mathematics had effects on their teaching intention of mathematics. The knowledge about teaching-learning methods for mathematics among the subcategories of pedagogical content knowledge of mathematics was observed as the strongest predictor for the teachers' teaching intention. Conclusion: We need to take more interest in the pedagogical knowledge about teaching-learning methods of mathematics in teacher training courses in order to enhance teachers' teaching intention of mathematics. As a result, this will makea contribution to high quality math education for young children.

• Journal of Elementary Mathematics Education in Korea
• /
• v.14 no.1
• /
• pp.103-121
• /
• 2010

The University of Education trains the teachers who are experts in the education and expects them to achieve the purpose of the education in the field. The goal of this study is to apprehend the characteristics of the belief and the faith of the elementary teacher and of the university student who are preliminary elementary teachers, about the mathematics and the mathematical teaching and learning and also to figure out what differences those belief and faith shows as the year goes by. In order to find the characteristics of the belief and faith, we have set up three research-problems and have found the answers of that by analyzing the replies of several multiple choice questions and essay questions we have invested for. We also have collected several information through the interviews and inspection. As a result, we have analyzed and charted the outcome of the statistical analysis of the answers about each questions and have discussed the remarkable features of those results which showed significant changes in the belief of elementary teachers about the mathematics and mathematical teaching & learning after taking the courses of "Life & Mathematics".