• Communications of Mathematical Education
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• v.12
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• pp.1-19
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• 2001

유치원과 초등학교 1학년 아동은 그들의 발달특성과 학습의 효율성 측면을 고려할 때, 일상생활 경험과 놀이 활동 등을 이용한 활동중심 교육방법으로 상호 연계성있게 수학을 학습하는 것이 바람직하다. 이러한 필요성에서, 본 연구는 현행 교육과정 상에 제시된 수학교육의 성격과 목표, 내용, 교수방법, 평가 면에서 유치원과 초등학교 1학년 간에 얼마나 연계되어 있는 지를 분석해 보았다. 분석 결과, 유치원과 초등학교 1학년 수학 교육과정 간에는 수학교육의 방향 및 목표, 내용 영역, 교수학습 방법, 평가 면에서 대체로 높은 연계성을 보였다. 그러나 교과 편제나 명칭, 세부적인 내용 구성에서 차이가 있었으므로 이를 해결하기 위한 교육과정 상에서의 연계 실천 방안을 제시해 보았다. 그리고 실제 수학 교육 활동측면에서의 실천 방안으로서 활동중심 교수학습 자료의 개발, 수학 영역 설치를 통한 개별화 교육의 실천, 가정과의 협력 방안 등을 제시해 보았다.

• Journal of Educational Research in Mathematics
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• v.26 no.3
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• pp.467-488
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• 2016

The main purpose of this study was to introduce a self-study as one way to enhance instructional expertise in mathematics. This paper summarized the concept, characteristics, and methods of self-study in order to inform teachers of the usefulness of a self-study for their professional development. This paper then presented a self-study practice manuals for teachers to follow the self-study step by step. It described a case in which an elementary school teacher applied the self-study practice manuals to her mathematics teaching. This paper closes with implications for teachers to employ a self-study.

• Journal of Elementary Mathematics Education in Korea
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• v.1 no.1
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• pp.87-98
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• 1997

A practice is classified into the practice as a content and the practice as a method. The former means that the practical nature of mathematical knowledge itself should be a content of mathematics and the latter means that one should teach the mathematical knowledge in such a way as the practical nature is not damaged. The practical nature of mathematics means mathematician's activity as it is actually done. Activities of the mathematician are not only discovering strict proofs or building axiomatic system but informal thinking activities such as generalization, analogy, abstraction, induction etc. In this study, it is found that the most instructive ones for the future users of mathematics are such practice as content. For the practice as a method, students might learn, by becoming apprentice mathematicians, to do what master mathematicians do in their everyday practice. Classrooms are cultural milieux and microsoms of mathematical culture in which there are sets of beliefs and values that are perpetuated by the day-to-day practices and rituals of the cultures. Therefore, the students' sense of ‘what mathematics is really about’ is shaped by the culture of school mathematics. In turn, the sense of what mathematics is really all about determines how the students use the mathematics they have learned. In this sense, the practice on which classroom instruction might be modelled is that of mathematicians at work. To learn mathematics is to enter into an ongoing conversation conducted between practitioners who share common language. So students should experience mathematics in a way similar to the way mathematicians live it. It implies a view of mathematics classrooms as a places in which classroom activity is directed not simply toward the acquisition of the content of mathematics in the form of concepts and procedures but rather toward the individual and collaborative practice of mathematical thinking.

• School Mathematics
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• v.17 no.1
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• pp.1-18
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• 2015

The mathematical processes are strongly emphasized in 2009 revised national curriculum for mathematics and are expected to be complemented and extended in 2015 revised one. This study aims to investigate how much the processes are being implemented in mathematics classroom and select some elements which need complementation. To do this, we selected the mathematical practices of CCSSM as a reference, because it plays the corresponding role in the United States to the mathematical processes in Korea. We recognized common elements and different elements between the two and analyzed. Considering those, we searched the possibility of newer mathematical process and analyzed the 4th grade mathematics textbooks in relation to questions for mathematical practices. We provided the results of analyses and several suggestions for revising mathematics curriculum and textbooks.

• Journal of the Korean School Mathematics Society
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• v.16 no.2
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• pp.319-335
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• 2013

Chinese mathematical curriculum is divided 4 areas(number and algebra, space and figure, statistics and probability, practice and synthetic application). The purpose of this paper is to analyze the contents of the practice and synthetic application in yanbian elementary textbook. For this, 12-textbook which was published in yeonbeon a publishing company is analyze by topic, mathematical process, area of content and mathematical activity. mathematical process The following results have been drawn from this study. First, contextual backgrounds of practice are restricted in classroom. The contents of synthetic application are limited in connection of mathematical areas. Mathematical problem solving is a main in mathematical process, whereas reasoning activity is a few. Mathematical experience activity is a main in mathematical process, whereas synthetic activity is a few. We can use the suggestions of this paper for development of textbook and the contents of mathematical process.

• The Mathematical Education
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• v.63 no.1
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• pp.63-83
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• 2024

The purpose of this study is to analyze the mathematical connection components of the tasks included in the trigonometric ratio unit of 3rd grade middle school textbook based on the 2015 revised mathematics curriculum and investigate teachers' perceptions and practical measures regarding these components. To this end, we analyzed the characteristics of mathematical connection tasks included in the trigonometric ratio units in nine types of 3rd grade middle school mathematics textbooks, and we conducted a questionnaire survey and interviews with one in-service math teachers in pre interview and with two in-service math teachers in this interview to investigate their perceptions and practical measures. As a result of the study, the number of tasks with external connection in the trigonometric ratio unit were less than those of internal connection. In addition, in terms of teachers' perceptions and practical measures, the perspective of analyzing tasks with mathematical connections varied depending on the teacher's perspective, and the practical measures varied accordingly. These findings are significant in that they reveal the relationship between mathematical tasks, teacher perceptions and measures to foster effectively students' mathematical connections.

• Journal of Educational Research in Mathematics
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• v.22 no.4
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• pp.557-580
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• 2012

Common Core State Standards for Mathematics(CCSSM) is a blueprint for school mathematics in 2010s of the United States. CCSSM can be divided into two major parts, the standards for mathematical content and the standards for mathematical practice. This study focused on the latter. Mathematical practice comes from the mathematical process in 'Principles and standards for school mathematics(NCTM, 2000)' as well as the mathematical proficiency in 'Adding it up(NRC, 2001)'. It is composed of eight standards which mathematically proficient students are expected to do. From Korean perspective, it can also be comparable with the mathematical process which contains mathematical problem solving, mathematical reasoning, and mathematical communication and was provided by the 2009 revised national curriculum for mathematics in Korea. However, few focused the standards for mathematical practice among the studies related to CCSSM in Korea. Moreover, there is a study that even ignores the existence of the standards for mathematical practice itself. This study aims to understand the standards for mathematical practice through analysing the document of CCSSM and its successive materials for implementing the CCSSM. This understanding will help effective implementation of the mathematical process in Korea.

• School Mathematics
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• v.16 no.3
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• pp.471-489
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• 2014

In this study, we carried out mathematics teacher-training course. The topic of this training course is the understanding of content area reading in school mathematics. The teacher-training course is planned to guide mathematics teachers can perform effectively the teaching of content area reading. In particular, we illustrated the pre-service mathematics teacher education practice. Mathematics teachers investigated various teaching strategies that can lead their students read reading materials related to mathematics effectively. In this training courses, teachers reflects on their own experience and they have an opportunity to learn the new strategies that improve their teaching methods. Teacher educator and in-service teachers share and discuss their practices, they have a meaningful learning experiences. In this study, we presented the processes of the teacher-training course and the results of practice. Furthermore, on the basis of the limitations of this study, we suggested recommendations for the future teacher training program.

• Communications of Mathematical Education
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• v.34 no.4
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• pp.507-523
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• 2020

This study is to establish the items on instructional evaluation based on the teacher's practical knowledge in mathematics educations. Namely, this study deals with the items on how pre-service or in-service teachers reflect and revise their own or peer's class. To accomplish this, first of all the items on instructional evaluation was developed by researchers of this study on the basis of the results of two previous study. One is the literature of Elbaz(1981) and the other is the literature of Hwang(2013). Elbaz(1981) defined the definition of practical knowledge and five sub-domains of the practical knowledge. On the other hand, Hwang(2013) defined the teacher knowledge in mathematics education and four sub-domains of the teacher knowledge. According to these four domains, Hwang(2013) developed the items on the instructional evaluation in mathematics class. From now on, based on these two study, this study was to develop the items on the instructional evaluation involving the practical knowledge. Futhermore, the final and ideal items on the instruction would be established through the reflection and comments of professionals such as mathematics teachers, professors, and researchers.

• Communications of Mathematical Education
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• v.38 no.1
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• pp.1-26
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• 2024

As the limitations of professional development programs and individual attempts to improve teaching expertise have been reported, mathematics teachers have operated various types of teacher learning communities as alternative teacher professional programs. A teacher learning community can be considered a Community of Practice(CoP) in that it satisfies three factors of Cop, which are common purpose, mutual participation, and shared repertoire, so the 'learning' of a teacher community can be interpreted based on the theory of CoP. The purpose of this study is to investigate the process of identity development of five mathematics teachers who have been continuously involved in teacher communities. For this, the researcher collected data on the entire process of community activities through participant observation and conducted individual follow-up interviews to explore mathematics teachers' narratives and personal experiences. Results indicated that mathematics teachers experienced the development of practical knowledge related to mathematics teaching and learning, improvement of teaching practice through continuous reflection and introspection, and recognization the shared value of togethering through community immersion. Based on these experiences, implications for the effective operation of learning communities such as national support of teacher learning communities and horizontal and cooperative teacher norms were discussed, and follow-up research was proposed.