• Communications of Mathematical Education
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• v.14
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• pp.371-394
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• 2001

교사 교육기관에서 교육을 받고 있는 예비 수학교사들의 교수-학습에 대한 신념은 주로 초, 중, 고등학교를 다니면서 수학 교사와의 상호작용과 긍정적 혹은 부정적인 경험에 의해서 형성되어져 있다. 이러한 신념은 결국 사범대학에서의 교육을 받으면서 지식의 습득 과정에 영향을 미치게 된다. 따라서 예비수학교사들이 가지고 있는 수학의 교수-학습에 대한 신념을 조사하는 것은 이들이 기존에 가지고 있는 신념에 대한 반성의 기회를 제공하게 되어 바람직한 신념형성 및 장차 교사가 되었을 때 수학교실에서의 교수-학습의 새로운 전환에 도움이 될 것이다. 그리고 이들의 신념을 조사, 연구하는 것은 현재 수학과 교사 교육기관에서 이루어지고 있는 교수와 학습에 대한 질을 개선하는데 도움이 될 것이다.

• 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.

• Communications of Mathematical Education
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• v.34 no.4
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• pp.485-506
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• 2020

The purpose of this study is to analyze of the effect in Mathematics Teachers beliefs on their students beliefs by Latent Class Regression Model (LCRM). For this analysis, the study used the findings and surveys of Kang, Hong (2020) who developed a belief profile by analyzing the mathematical beliefs of 60 high school teachers and 1,850 second-year high school students learning from them through the Latent Class Analysis (LCA). As a result It was observed that 'Nature of Mathematics', 'Mathematic Teaching' and 'Mathematical Ability' of mathematics teachers beliefs influence the mathematical beliefs of students. The teacher's belief of 'Nature of Mathematics' statistically significant effects on students' beliefs in 'School Mathematics', 'Problem Solving', 'Mathematics Learning'. The teacher's belief of 'Teaching Mathematics', 'Mathematical Ability' statistically significant effects on students' beliefs in 'School Mathematics', 'Problem Solving', 'Self-Concept'. The results of this study can give a preview of the phenomenon in which teacher's mathematical beliefs are reproduced into student's mathematical beliefs. In addition, the results of observation of this study can be used to the contents that can achieve the purpose of reorientation for mathematics teachers.

• Communications of Mathematical Education
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• v.35 no.4
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• pp.377-411
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• 2021

This study aims to explore central and peripheral beliefs of mathematics teachers in the context of teaching and learning. For this purpose, this study analyzed teacher noticing of 8 mathematics teachers who are in-service in terms of mathematical beliefs using video-clips of math lessons. When the teachers in the video-clips seemed to have a teaching and learning problem, teachers who adopt noticing critized the classroom situation by reflecting his or her own mathematical beliefs and suggested alternatives. In addition, through noticing analysis, teachers' mathematical beliefs reflected in specific topics such as student participation in teaching and learning were compared to reveal their individual central and peripheral beliefs. Through these research results, this study proposed a model that extracts the central and peripheral beliefs of math teachers from the constraints of the teaching and learning context using noticing analysis. Additionally, it was possible to observe the teacher decision-making and expertise of mathematics teachers.

• 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.

• Journal of Elementary Mathematics Education in Korea
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• v.5 no.1
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• pp.121-142
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• 2001

The purpose of this study is to investigate elementary teacher's beliefs and attitudes about mathematics and how those reflect their teaching practices. For this goal : (1) Designing questionnaire to measure elementary teachers' beliefs and attitudes about mathematics (2) Inquiring into character of elementary teacher's beliefs and attitudes about mathematics after analyzing questionnaire (3) Analyzing two teachers' mathematics teaching practices to understand how teacher's beliefs and attitudes affect mathematics teaching practices.

• 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.

• 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.

• Journal of Educational Research in Mathematics
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• v.25 no.4
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• pp.599-615
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• 2015

Teachers' philosophies have not been emphasized enough in the current teacher education curriculum even though teacher's philosophy palys a critical role in schools and classrooms. The examination on pre-service teachers' teaching philosophies is necessary to improve teacher education curriculum so that teaching philosophies are often discussed in the courses of 'pedagogical content knowledge' as well as 'general education.' Therefore, the current study investigated 44 pre-service teachers' teaching philosophies, their sub domains, and relationships among the sub domains. The previous studies regarding mathematics teacher's teaching philosophy were more about 'teacher's belief' and employed deductive inference approach using surveys or questionnaires. These studies commonly pointed out that there were three major domains of 'belief on mathematics itself,' 'belief on teaching mathematics,' and 'belief on learning mathematics.' As these three domains of teacher's philosophy has been strengthened, there were very few studies examining the other potential domains of teacher's teaching philosophy. According to the findings of the present study, which employed inductive inference approach and pre-service teachers' free essay writing assignment, 'belief on teacher's role in mathematics classroom,' 'belief on the purpose of mathematics education,' and 'motivation to be a mathematics teacher' were additionally illuminated as sub domains of teacher's teaching philosophy. Moreover, the interrelationship among the sub-areas of teacher's teaching philosophy was disclosed. Specifically, 'belief on the purpose of mathematics education' and 'motivation to be a mathematics teacher' influenced the other sub domains. This implies that the relationships among the sub domains of teacher's teaching philosophy were more likely to be causal and vertical relationships rather than independent and parallel relationships. Finally, the findings from the current study provide implications indicating how pre-service teachers' teaching philosophies might be established in mathematics education courses for future research and education.

• 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'.