• School Mathematics
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• v.11 no.4
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• pp.583-605
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• 2009

This research aims to examine the characteristics and main subjects of the mathematics class-criticism by elementary' teachers. In this aim, we analyzed the mathematics class-criticism by the 11 elementary teachers. As the results of this research, the elementary teachers criticized the mathematics class while understanding and describing the class as it is. And mathematics class-criticism by elementary teachers showed contextual and situational characteristics. Furthermore, the main subjects of mathematics class-criticism by elementary teachers were identified as mathematical communication, teacher's question to foster the students' mathematical thinking, appropriateness of task, motivation for students, concrete operational activity, appropriateness on teacher's mathematical behavior and teacher's use of mathematical term, experience of inductive reasoning. While, we identified the significance of mathematics class-criticism for elementary teachers. The elementary teachers pointed out the necessity and importance of the mathematics class-criticism on the mathematics class in usual context.

• School Mathematics
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• v.15 no.2
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• pp.369-387
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• 2013

This research intends to give a practice of mathematics lesson-critique and some perspectives on a mathematics lesson in the elementary school level. We carried out a mathematics lesson-critique on a lesson chosen as a good lesson by a local educational district in Korea. The main themes of mathematics lesson-critique were the reconstruction of lesson models, the pursuit of relational understanding, the activation of mathematical communication, and the didactical transformation by a in-service teacher. Meanwhile we confirmed that we need to discuss the properness and adequateness of contents about division of natural numbers given in the elementary mathematics textbook and teachers' guide according to the revised 2007 mathematics curriculum.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.4
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• pp.625-647
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• 2015

How a pre-service teacher understands and comments on mathematics instruction can serve as the foundation of her teaching expertise. Given that prospective teachers observe demonstrative mathematics teaching implemented by an in-service teacher and make a comment on it during their practicum period, this paper specified the levels of their ability in commenting on mathematics instruction and explored the characteristics of such levels. It is significant that this paper provides a systematic and comprehensive analysis of such levels in terms of topic, agent, stance, evidence, and alternative perspective. The results of this study showed that the commenting levels may be classified by Level 1 (fragmentary), Level 2 (inspective), and Level 3 (analytical), and that the most frequent level of this study was at Level 2. Multiple regression analysis demonstrated that stance is the most influential in determining the levels of comments among their analytic components. An analysis of the participants' anecdotes showed that the experience of observing demonstrative teaching during the practicum may have impact on the belief of mathematics instruction and self-image as a teacher. Building on these results, this paper provides implications of teacher preparation programs to enhance prospective teachers' ability to analyze elementary mathematics lessons.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.3
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• pp.399-424
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• 2014

Although teacher preparation programs are important for prospective teachers to build a foundation of teaching expertise, there has been lack of research in this area. This paper analyzed in what ways prospective teachers' ability in describing and commenting on elementary mathematics instruction has been changed while they were taking in the course of teaching elementary school mathematics. The results of this study showed that in late description the teachers tended to notice the core flow of a lesson and the use of instructional strategies appropriate to the mathematical content to be taught. They also tended to comment on instructional strategies and mathematical discourse from the teacher's perspective and evaluated them without alternative approaches. A noticeable change occurred in late comments wherein prospective teachers considered both the teacher and students, supported their comments by theories they had learned through the course, and interpreted the classroom events they had noticed. Building on these results, this paper closes with implications of teacher education programs to enhance prospective teachers' ability to analyze elementary mathematics lessons.

• Education of Primary School Mathematics
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• v.21 no.3
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• pp.309-327
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• 2018

This study is a case study of an elementary school teacher's reflection and practice in the process of planning, executing and criticizing his lesson on division with decimals. The purpose of this study was to clarify what kinds of problems an elementary school teacher was thinking about and how his focus was changing in the process of planning and executing a lesson and criticizing his lesson with his peers. The teacher was set in three periods: a teacher planning a lesson, a teacher executing a lesson, and a teacher criticizing his or her own lesson. Each period was analyzed in eight aspects: Establishing the goals for mathematics, implementing tasks, connecting mathematical representations, facilitating mathematical discourse, posing questions, building procedural fluency from conceptual understanding, supporting productive struggles, and using evidences of students' thinking.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.2
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• pp.259-281
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• 2016

Teaching practicum plays a significant role in teacher education program because it provides pre-service teachers with an opportunity to apply what they have learned to the actual teaching contexts. As such, it needs to be conducted in terms of close collaboration between university and school. Given that, in a mathematics methods course the prospective teachers in this study had an opportunity to discuss mathematics lessons they had implemented during their teaching practicum. This paper analyzed in what ways prospective teachers' comments on elementary mathematics instruction were changed through this experience. The results of this study showed that in late comment the teachers tended to focus more on mathematical discourse, consider not only the teacher of the lesson but also students, and suggest alternative approaches on the classroom events they had noticed. It is noticeable that the results analyzed by researchers were consistent with prospective teachers' self-assessment. Building on these results, this paper provides implications of teacher preparation programs to enhance prospective teachers' ability to analyze elementary mathematics lessons.

• The Mathematical Education
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• v.54 no.1
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• pp.1-11
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• 2015

The purpose of this study was to provide fundamental data and implication for forming desirable viewpoint of mathematics lesson critique and for improvement of expertise in lesson by compare and analyze the viewpoint of mathematics lesson critique of pre-service and in-service teachers. For the achievement of the purpose, The lesson critique materials of each 25 pre-service and in-service mathematics teachers were collected and arranged, and compare and analyze the viewpoint of mathematics lesson critique of pre-service and in-service teachers by using the standard for analyzing viewpoint of lesson critique composed of two categories, five main codes and 18 sub codes. The results of this study, both pre-service and in-service teachers have tendency for criticising lesson focusing on the practice rather than plan of lesson and both pre-service and in-service teachers showed evaluative reaction in most of critical statements and used positive ones rather than negative ones. The only pre-service teachers, though minor of them, showed non-evaluative reaction in criticising class and most of the statements were just description and explanation without any their own judgement for the scenes and activities of lessons and most of pre-service teachers have tendency to include reflection and introspection for their own class in lesson critique.

• Journal of the Korean School Mathematics Society
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• v.24 no.1
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• pp.127-150
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• 2021

Recently, in the field of mathematics education, mathematical noticing has been considered as an important element of teacher expertise. The meaning of mathematical noticing is the ability of teachers to notice and interpret significant events among various events that occur in mathematics class. This study attempts to analyze the differences of pre-service secondary teachers' mathematical noticing and confirm the factors that cause the differences between them. To accomplish this, the items on class critiques were established to identify pre-service secondary school teachers' mathematical noticing, and each of 18 pre-service secondary mathematics teachers were required to write a class critique by watching a video in which their micro-teaching was recorded. It was that the teachers' mathematical noticing can be identified by analyzing their critiques in three dimensions such as actor, topic, and stance. As a result, there were differences in mathematical noticing between pre-service secondary mathematical teachers in terms of topic and stance dimensions. The result suggests that teachers' mathematicl noticing can be differentiated by subject matter knowledge, pedagogical content knowledge, curricular knowledge, beliefs, experiences, goals, and practical knowledge.

• Communications of Mathematical Education
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• v.18 no.1 s.18
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• pp.61-72
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• 2004

본 연구는 예비 초등학교 교사들이 수학과에서의 ICT활용 교육을 이해하고 수업설계 부분을 강화한 ICT활용 교수 ${\cdot}$ 학습 과정안을 개발하는 능력을 키우기 위한 목적을 지닌다. 구체적으로, 예비 초등학교 교사들의 필수과목인 초등수학교육방법에 관한 강좌에서 수학과 수업 모형을 공부하고 ICT의 적극적인 활용 사례를 분석하며 기존의 과정안에 관한 비평 능력을 바탕으로 한 학기 프로젝트로써 초등수학 5학년과 6학년의 과정안을 개발한 사례를 논의한다. 교육과정 운영 및 과정안 개발 측면, 예비교사들의 ICT활용 교육에 관한 인식 등의 측면에서 연구${\cdot}$개발의 결과를 서술하고 본 연구로부터 얻을 수 있는 시사점에 대해서 논의한다.

• Education of Primary School Mathematics
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• v.20 no.4
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• pp.267-286
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• 2017

This study analyzed the processes of lesson plan, implementation, and reflection by a professional learning community with five teachers who were teaching second grade students in the same elementary school. The results of the study showed that the learning community helped the teachers prepare for a lesson effectively, enhance their teaching practices, and reflect on their teaching methods. However, the teachers had difficulties in re-designing and implementing the collaborative lesson plan in their classrooms and had a tendency to talk about their feelings about lessons rather than meaningful comments for subsequent lessons. The successes and difficulties revealed through this study are expected to provide us with directions of learning communities for improving teachers' professional development.