• Education of Primary School Mathematics
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• v.17 no.3
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• pp.189-203
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• 2014

The purpose of this study was to analyze the strengths and weaknesses resulting from a study of elementary mathematics lessons among in-service teachers and to discuss implications for the direction of improvement of the study on elementary mathematics lessons based on teacher learning community. The results of this study showed that the study on elementary mathematics lessons based on teacher learning community improved teacher knowledge related to teaching mathematics, enhanced teacher's accomplishment and self-esteem, made it possible for participant teachers to teach one another, created atmosphere in which teachers investigated instruction via sustainable and systematic lesson study. However, some limitations were noticed such as regulations by the social norms of the teacher learning community, the influence of an expert teacher, teachers' unprofessional decision making, and lack of systematic evaluation and reflection on lessons. Based on these results, this paper closes with critical implications to enhance teacher learning community.

• Proceedings of the Korea Society of Elementary Mathematics Education
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• 2010.08a
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• pp.219-235
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• 2010

학습자들이 미래 사회에 능동적으로 대처하기 위해서는 기존의 지식을 축적, 활용하는 것뿐만 아니라, 새로운 행동 양식을 개발하고 환경의 변화에 적절히 대응해 나갈 수 있는 능동적인 자세와 상응하는 창의적인 힘을 키우기 위해 '창의성 신장'이 강조되고 있다. 선행연구에 따르면 교사의 발문이 학생의 수학 학업성취도, 수학적 사고력향상, 수학에 대한 관심과 흥미에 긍정적인 영향을 주고 있음을 시사하고 있지만, 수학교육에서 창의성 신장을 위한 교사의 발문에 관련한 구체적인 연구는 미흡한 실정이다. 따라서 2007 개정 교육과정에서 강조하는 수학적 의사소통능력과 창의성, 수학적 사고력 신장에 기여하고 학생들의 수학과 학업성취도 뿐만 아니라 정의적 영역(흥미, 태도, 호기심 등)의 향상을 도모할 수 있는 교사 발문의 특성 연구가 필요하다. 본 연구는 도형영역 수업에서 교사의 발문 특성을 분석하고, 수업에서 사용되는 자료와 수업에서 학생들의 수학적 창의성 신장을 효과적으로 도울 수 있는 교사 발문의 특성을 연구하는 것을 목적으로 하였다. 본 연구를 위하여 우리나라 2007개정 교육과정 수학과 4학년 1학기 도형 영역 관련 단원인 삼각형을 주제로 교과서에서 제시한 발문 내용을 분석하고, 실제 교수-학습 과정에서의 교사 발문의 실태를 알아보고자 제주교육인터넷방송국에 탑재되어 있는 7차 교육과정 4학년 1학기, 2학기 도형 관련 3개의 수업을 관찰 및 분석하였다. 이를 통해 수학적 창의성 신장을 위한 교사 발문의 특성을 수학적 창의성의 하위요소별로 나누어 분석하였다. 학생의 창의성 신장을 위해서 교사는 학생들이 다양하게 사고할 수 있도록 자극할 수 있는 발문을 준비하고, 수업 진행시 하나의 발문에 대해 다수의 반응을 유도하고, 학생의 응답에 대해 단순한 '맞다, 틀리다'의 판단을 내리기 보다는 그 근거를 설명할 수 있는 기회를 마련해 주어 학생이 수학 수업에 흥미를 갖고 스스로 참여할 수 있도록 유도해야 함을 제안하였다.

• Communications of Mathematical Education
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• v.19 no.2 s.22
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• pp.417-434
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• 2005

본 연구에서 문제제기 수업이 수학학습에 미치는 효과를 알아보기 위하여 문제제기 수업과 기존의 교사 주도식 수업방식에서 문제해결력과 수학적 창의력에 대한 효과를 분석하였다. 중학교 3학년 학생을 대상으로 28주 동안 문제제기 수업을 실시하여 수업을 한 후, 문제해결력 검사지와 수학적 창의력 검사지를 평가한 결과는 다음과 같다. 첫째, 문제제기 수업을 활용한 수업방식이 기존의 교사 주도식 수업방식에 비해 문제해결력 신장에 효과가 있는 것으로 나타났다. 둘째, 문제제기 수업이 교사 주도식 수업에 비해 수학적 창의력 신장에 효과가 있는 것으로 나타났고, 특히 수학적 창의력 하위 요소 중 유창성과 융통성 신장에 효과가 있었다. 따라서 문제해결력 신장과 수학적 창의력 신장을 위해서 학교수업에서 문제제기 수업 활동의 도입을 제언한다.

• Communications of Mathematical Education
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• v.36 no.3
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• pp.397-415
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• 2022

The purpose of this study is to analyze the discourse structure of teachers that can help students participate in class by using mathematical metaphors that can arouse students' interest and motivation. In order to achieve this goal, we observed a semester class of a career teacher who practiced pedagogy that connects students' experiences with mathematical concepts to motivate students to learn and promote participation. Among the metaphors that the study target teachers used in a variety of mathematical concepts and problem-solving processes during the semester, we extracted the two class examples that can help develop teaching methods using metaphors. Representatively selected two classes are one class example using metaphors and, the other class example using metaphors and expanding and applying problems. As a result of analysis, the structure of teacher discourse that uses metaphors and expands and applies problems by linking students' experiences with mathematical content was found to help solve a given problem and elaborate mathematical concepts. As a result of the analysis, the discourse structure of teachers using mathematical metaphors based on communication with students could provide implications for the development of teaching methods for the recovery of mathematics education.

• School Mathematics
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• v.11 no.3
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• pp.369-387
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• 2009

Recently there has been a high request for support for teachers' professional development and quality control to meet the demand of educational policy to introduce teacher evaluation, master teacher status, incentives for teacher competency, etc. It has been suggested that reeducation and support for professional development would be more effective to beginning teachers with a high developmental potential than to experienced teachers with routinized instruction. Since 2005, KICE-TLC has conducted research on the development of teacher supporting programs such as teaching consultation and pedagogical content knowledge(PCK) in school subjects. In line with the current education policy and previous research by KICE, this research has been conducted to meet the need for novice teacher induction by developing consulting program focused on PCK. The goal of this research was to (1) explore the in-depth meaning of PCK in light of teaching consultation, (2) conduct a preliminary study on how to develop teaching consulting programs for secondary beginning teachers, (3) develop teaching consulting programs focused on pedagogical content knowledge (PCK), and (4) suggest implications for educational policy regarding pre-service and in-service teachers' continuing professional development and support.

• Journal of the Korean School Mathematics Society
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• v.14 no.1
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• pp.31-42
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• 2011

The purpose of this study is to explore how elementary mathematics teachers' adaptations of a reform-oriented mathematics curriculum material in the USA, Everyday Mathematics, influence elementary students' opportunities to learn mathematics. I illustrate how elementary mathematics teachers alter the curriculum material and how such alterations influence their students' opportunities to learn mathematics in their mathematics classrooms. Results suggest that the teachers with Everyday Mathematics did not appear to maintain the cognitive demand of mathematical tasks as appeared in the curriculum material, as set up by the teacher, and as enacted in the classrooms. The results also show that the teachers seemed to omit components including important tasks and suggestions in the curriculum material. As a consequence, the students did not have an opportunity to think and understand mathematics conceptually and meaningfully; they were exposed and encouraged to learn mathematics procedurally.

• Education of Primary School Mathematics
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• v.23 no.1
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• pp.1-26
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• 2020

The purpose of this study was to analyze the process of reading and understanding mathematics lesson plan through eye-tracking to suggest implications of pre-service teacher education. As a result of the analysis, the pre-service teachers felt that the mathematics lesson plans were more difficult than the experienced teacher, they read and understood the mathematics lesson plan in sequential order. Experienced teachers, on the other hand, used a hypertext reading strategy to find key topics and make connections in order to grasp the flow of instruction in mathematics lesson plan. Based on these results, several suggestions were drawn for pre-service teachers when teaching their ability to read and understand mathematics lesson plan.

• The Mathematical Education
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• v.61 no.1
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• pp.63-82
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• 2022

The aim of this study was to analyze the changing process in a middle school teacher's discourse capability through reflection to lessons, thereby providing the implications for activities to improve the quality of lessons. To that end, this study explored the characteristics of change in the teacher's discourse capability of promoting students' participation while the teacher repeated instruction implementation and meeting for reflecting the implementation. Through the reflection, the teacher noticed his own matters about dealing with the students' responses and presentations. By attempting to address the matters in the instructions and reflecting the attempt, the teacher was able to accelerate the students' participation in the lesson discourse through enhancing productivity and openness of the discourse. The result of this study demonstrated that lesson reflection beneficially influenced development of teaching profession related to discourse capability.

• Education of Primary School Mathematics
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• v.16 no.3
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• pp.211-227
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• 2013

This study is designed to help pre-service teachers to improve their teaching skills in elementary math class. For this, the consulting program with 5-steps was planned and applied to three elementary pre-service teachers. Each class the teachers performed was analyzed by both Flanders's Interaction Analysis Category System and participant observation. As results of consulting, the common characteristics of three pre-service teachers are shown. Firstly their teaching style is non directive, but they fail to induce their students spontaneously respond. They often ignore or don't use their students' respond they think incorrect to develop the next ideas. Simply saying, their classes are typically teacher-oriented but they are not authoritative. It is proved that consulting program is effective for improving developing non directive teaching skills, but is not much effective decreasing teachers' comment and increasing students' rolls in a math class.

• 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.