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

• School Mathematics
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• v.11 no.3
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• pp.335-349
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• 2009

The purpose of this study is to explore how a mathematics teacher's beliefs about mathematics and teaching and learning and mathematics and how such beliefs are related to her knowledge manifested in her mathematics instruction. The study illustrates images of teaching practice of an American mathematics teacher in middle grades mathematics classrooms. Results suggest that the teacher seems consistent in teaching in terms of her beliefs about mathematics and learning and teaching mathematics in some degrees. In particular, the teacher's beliefs affected the ways in which mathematics teacher organized and structured her lessons.

• Communications of Mathematical Education
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• v.11
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• pp.85-105
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• 2001

본 연구는 수학 교육에 관심이 많은 초등학교 ‘초보 교사’와 ‘경력이 많은 교사’의 수학에 대한 신념과 신념 형성의 주요 요인을 조사하였다. 그리고 교사의 수학에 대한 신념이 교수 실제에 반영되는 정도가 초보 교사와 경력이 많은 교사간에는 어떻게 차이가 나는지를 알아보았다. 또한 신념이 실제에 반영되지 못하는 주요 요인을 조사함으로써 교수 실제를 변화시킬 수 있는 근거를 마련하고자 하였다. 이러한 목적을 달성하기 위하여 ‘초보 교사’와 ‘경력이 많은 교사’ 각 한 명씩을 선정하여 불변의 비교 분석에 기초한 질적 사례 연구를 실시하였다. 그 결과 ‘초보 교사’와 ‘경력이 많은 교사’ 모두 비슷한 신념을 가지고 있었으나, 그러한 신념이 형성된 주요 요인은 달랐다. 그리고 신념이 교수 실제에 반영된 정도에서도 차이를 보였으나, 반영시키지 못하는 주요 요인은 환경적인 요인보다는 교사 자신의 의지 부족이라는 공통된 의견을 보였다.

• Journal of the Korean School Mathematics Society
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• v.8 no.3
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• pp.343-356
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• 2005

The purpose of this study is to search whether mathematical beliefs have changed when new social norms are formed in math classroom through research using survey papers about mathematical beliefs and math class video photographing. In addition, it would search for social norms of mathematical classroom which affects to students' mathematical beliefs by analyzing culture of mathematical classroom. The result was that the class focusing only general social norms wasn't enough to change students' mathematical beliefs. And as we have examined sociomathematical norms of math classroom through analyzing culture of mathematics classroom, it has affected students' mathematical beliefs.

• Education of Primary School Mathematics
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• v.21 no.3
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• pp.329-349
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• 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
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• v.12 no.2
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• pp.247-264
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• 2002

본 연구의 목적은 교사들이 갖고 있는 수학 및 수학을 어떻게 가르칠 것인가에 대한 신념과 수업 관행과의 관계를 문헌적 고찰을 통하여 교사 변화를 위한 모델을 제시하는데 있다. 이를 위하여 먼 저 신념에 대한 정의, 신념과 지식의 차이점, 그리고 신념이 교사들의 수업 관행과 어떻게 관련이 있는지를 논의하였다. 신념과 수업 관행과의 상호 관계를 통하여 본 연구에서는 수업 개선 프로그램의 개발을 위한 모델을 개인적 수준, 학급 수준, 및 학교 수준의 세 시각에서 논의하였다. 이들 모델들은 결국 교사의 학습도 학생들의 학습 방법과 유사한 형태를 띄고 있다는 점에서 현재의 주요한 수학 학습 이론들에 근거를 두고 있다. 결국, 교사들의 수업 관행에 큰 영향을 끼치는 것으로 알려진 교사들의 수학적 신념은 위에 논의된 세 요소의 측면에서 수업 개선 프로그램들이 운영될 때 수업 관행과 함께 변화한다는 것을 본 이론 연구에서는 암시해 주고 있다.

• Journal of Gifted/Talented Education
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• v.23 no.6
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• pp.947-963
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• 2013

This study investigated the difference of mathematical beliefs between common children and the gifted children, and then the effect of current mathematics gifted education on gifted children's mathematical belief. Gifted children from institution for gifted education and school based gifted classroom, and common children from regular classroom from S-city office of education in Gyenggi province were studied for this study. The results of this study was as follows. First, there was positive correlation between mathematics performance and mathematical belief. Second, common children and gifted children had significant difference in the degree of mathematical belief. And also, mathematically gifted students had much stronger and positive mathematical belief than common students before starting gifted education program. Third, there was no significant difference in common children and gifted children on the mathematical belief after they receive gifted education, but there were negative changes in gifted children from institution for gifted education on the mathematical belief after receiving gifted education.

• School Mathematics
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• v.12 no.2
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• pp.97-111
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• 2010

The purpose of this study is to examine a preservice elementary mathematics teacher's beliefs and stated-actions in which she planned and implemented mathematical activities in a field experience within a mathematics methods course. Results show that the preservice teacher seemed to be dealing with conflicts and trying to resolve them in order to make sense to herself. Results also suggest that the preservice teacher's beliefs about how children learn seem to get confirmed through the field experiences so that she was able to articulate, which influence her experience of focusing on an individual child. This, in turn, induces her to elaborate her beliefs. These processes would explain her beliefs and actions as a sensible system.

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

• Communications of Mathematical Education
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• v.12
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• pp.349-361
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• 2001

최근 수학교육에서 수학교사의 신념과 교실 규범에 대한 연구가 많이 이루어지고 있다. 이러한 측면에 대한 연구가 이루어지고 있는 배경에는 수학 교수-학습의 개혁은 교사의 신념과 교실 규범의 형태가 이러한 개혁의 비젼과 일치될 때 일어날 것이라 믿기 때문이라고 보아진다. 따라서 이 글에서는 교사의 신념과 교실 규범의 연구를 위한 이론적 틀을 제공하기 위하여 문화기술 연구법 (Ethnography)에 대하여 고찰하고, 수학교육 연구에서의 타당성을 살펴보고자 한다.