• 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.

• Communications of Mathematical Education
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• v.19 no.2 s.22
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• pp.453-469
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• 2005

기하는 수학의 기초를 이루는 중요한 영역이다. 그러나 기하교육을 위한 프로그램 설계와 교수전략에 대한 연구가 부족한 실정이다. 그러므로 현장의 수학교사들에 의한 프로그램개발과 동시에 프로그램과 지도방법을 통합하는 수학교사들의 지속적인 연구가 절실히 요구된다. 이에 본 연구는 영재의 특성들을 고려하고 교사 중심의 강의식 수업보다는 토론, 발표, 세미나에 적합한 프로그램을 구안해 보았다. 프로그램 설계의 내용적 면에서는 기하학의 한 방법인 해석기하학과 현재 고등학교에서 다루는 Euclid 초등기하의 한계를 넘어 공선(共線), 공점(共點)의 비계량적 개념의 사영기하학을 도입하였다. 그리고 프로그램을 운영하는 방법적인 면에서는 문제제시단계, 문제해결단계, 수학적 개념추출단계, 수학화 단계, 확장단계의 단계별 절차를 두었다. 이와 같은 수학영재교육 프로그램의 설계 및 교수전략의 목적은 수학영재들을 새로운 문제와 지식을 제안하고 생산하는 수학 창조자를 만들고자 하는데 있다.

• Education of Primary School Mathematics
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• v.14 no.3
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• pp.277-291
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• 2011

It is necessary for the teacher to understand why teach mathematics in order to implement the visions and expectations of the national mathematics curriculum in her actual classroom. This study conducted a survey of examining how elementary school teachers might understand the purpose of teaching mathematics. The results of this study showed that teachers' conceptions of the purpose of teaching mathematics were related mainly to the development of logical thinking, practical use of mathematics in everyday life, and a tool for studying other subjects or disciplines. However, teachers did not perceive much other purposes of mathematics education such as understanding the world, appreciating aesthetic value of mathematics, and developing communicative ability as well as sociality. Whereas teachers did not think of the significance of mathematics as an intellectual field when asked to write down how they would explain students why they had to learn mathematics, they tended to strongly agree it in the Likert-scale responses. Teachers' conceptions were not different according to their gender but teachers with less than five years' teaching experience were relatively negative than others with more experience. Given these results, this study provided issues and implications of teachers' conceptions of the purpose of teaching mathematics.

• The Mathematical Education
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• v.58 no.3
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• pp.443-458
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• 2019

Mathematical modeling has been a crucial topic in mathematics education as students' problem solving competency are regarded as a core skill for future society. Despite of the importance of mathematical modeling in school mathematics, there have been very limited studies relating pre-service teachers' knowledge and perceptions on mathematical modeling. In this vein, this study aimed to investigate pe-service mathematics teachers' perceptions on mathematical model, mathematical modeling and educational use of mathematical modeling, and their relationships. The current study utilized a survey consisted of 18 items. The responses of 210 pre-service mathematics teachers to the survey items were quantitatively analyzed using descriptive statistics, analysis of variance, exploratory and confirmatory factor analysis, the structural equation model, and multi group analysis. The results of analysis of variance revealed that pre-service teachers in difference groups (majors, grades, and experiences with mathematical modeling) showed statistically significant differences in mean values. Moreover, according to the results from the structural equation modeling analysis, pre-service mathematics teachers' perceptions on mathematical model and modeling affected their perceptions on educational use of mathematical modeling. In addition, depending on their pre-experiences with mathematical modeling, pre-service teachers represented a different relationship between perceptions on mathematical modeling and educational use of mathematical modeling. Implications for future studies and mathematics classrooms were discussed.

• Communications of Mathematical Education
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• v.27 no.3
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• pp.283-299
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• 2013

Mathematics textbooks based on storytelling in elementary schools started to apply a new method of teaching math to the first and second grade students from this year. By surveying the actual responses of both in-service and pre-service teachers, this study aimed to find out critical opinions to assist future math teachers. The survey was conducted among 124 in-service teachers and 112 pre-service teachers, asking what they needed for the understanding of the storytelling theory and for the preparation of actual lessons. After analyzing data, we concluded that in-service teachers have more positive opinion about the efficiency of teaching and learning mathematics based on storytelling, but more negative opinion about the appropriateness of storytelling as a means for teaching and learning mathematics than the pre-service teachers in elementary school. The in-service elementary teachers also want to have well-organized teaching resources for storytelling and development. Through a lot of training, more and more creative ways of applying the storytelling method can be learned and concrete presentations of real lessons need to be shared. Approximately 87% of pre-service teachers believe the storytelling method is a necessity in teaching math.

• Communications of Mathematical Education
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• v.34 no.3
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• pp.277-297
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• 2020

The purpose of this study was to identify and compare the mathematics educational values of pre-service and in-service elementary school teachers. For this purpose, we implemented a questionnaire investigating mathematics educational values and used principal component analysis which resulted in six components. These components were named as fun, problem-solving, representation, computation, ability, and explanation through systematic labeling processes. Both pre-service and in-service elementary school teachers considered problem-solving the most important and there was no statistical difference between the teacher groups. They also considered fun the least important and in-service elementary school teachers regarded it more important than pre-service counterparts did. All value components except explanation were regarded as important by in-service elementary school teachers, fourth-year pre-service teachers, and first-year pre-service teachers in order. The result of noticeable differences between pre-service and in-service elementary school teachers implies that actual teaching experience may affect teachers' mathematics educational values more than teacher preparation programs. Based on these findings, we need to discuss what should be regarded as important and worthwhile in teacher preparation programs to establish mathematics educational values for pre-service teachers. We also need to confirm whether the mathematics educational values by in-service elementary school teachers may be in line with what has been pursued in the national mathematics curriculum.

• Journal of Educational Research in Mathematics
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• v.10 no.1
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• pp.1-10
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• 2000

본 논문의 목적은 두 가지이다: 첫째, 구성주의와 사회문화주의의 통합적인 이해를 통해 수학 교사 교육에서 사용할 수 있는 이론적인 잠재성을 토의한다. 둘째, 비고츠키의 사회문화주의에 대한 토의가 그리 많지 않은 상황에서 사회문화주의자들의 주장을 교사교육적 관점에서 설명한다. 학습을 개인적 타원에서 설명하는 구성주의와 학습을 사회적 차원에서 설명하는 사회문화주의는 그 발생 원리상 큰 차이점을 갖는다. 본 논문에서는 이러한 차이점에 대한 논란보다는 어떻게 이 두 가지 이론이 학생들의 수학 학습에서 교사의 역할에 대한 재조명과 이론적 지지 기반을 제공할 수 있는 가능성을 갖는지 다루고 있다.

• School Mathematics
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• v.17 no.2
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• pp.331-353
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• 2015

The purpose of this study is to investigate expertise of mathematic teachers in development of designing assessment items, derived from development of assessing tools, which is a part of assessing competence of mathematic teachers. Analysis was made upon the difference between Pre-service and In-service teachers in terms of self-perception on assessment items. The assessing references of self-perception on developing in designing assessment items consist of followings: one's Beliefs and Self-Rating in designing assessment items. This investigation on self-perception was carried out by both pre-service teachers who are currently enrolled students in college and in-service teachers who are currently incumbent in secondary schools. This analysis based on 310 teachers' answers on self-perception of designing assessment items, both in- and preservice.

• Journal of the Korean School Mathematics Society
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• v.9 no.4
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• pp.481-495
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• 2006

In this paper we analyze creative mathematical competition for Russian mathematics teachers, and try to find out some suggestions for developing mathematics teacher's professional abilities. For these purposes we analyze problems and result data on the creative mathematical competition(for example, mean, distribution, reliability, discrimination, difficulty), and extract some meanings related with expanding teacher's professional abilities and activating studies related with mathematical pedagogy.

• Journal of Educational Research in Mathematics
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• v.22 no.3
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• pp.401-427
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• 2012

The recent Korean mathematics curriculum stresses to teach mathematics focusing on mathematical process composed of problem solving, reasoning and communication. To be successful in applying the rationale of the process-focused mathematics education, the assessment practice in classrooms should be also centered on mathematical process. In this study we conducted a large-scale survey on teachers' perspectives about the process-focused mathematics assessment. First, we surveyed teachers' opinion on current assessment practices in school mathematics related to regular school exams and performance assessments. Second, we investigated teachers' perception on mathematical process components such as problem solving, reasoning, and communication regarding how they should be assessed. Finally, we examined the difference of teachers' opinion according to their teaching experience, city size, and the type of school. Based on the results, we discussed implications for mathematics assessment and process-focused mathematical assessment.