• Journal of Elementary Mathematics Education in Korea
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• v.15 no.2
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• pp.463-485
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• 2011

This study was to investigate the effects of mathematical history-based mathematics teaching on mathematical communication and attitudes of elementary students, through selecting mathematical history content to apply to elementary mathematics and devising an instruction model to use effectively. For this purpose, while the experimental group received instruction using mathematical history and the comparative group lecture-based instruction using the common textbook, both quantitative and qualitative methods were employed to analyze gathered data. To conclusion, first, instructions using mathematical history were helpful for increasing the student's participation in communication, and secondly helped the students justify their opinions to others with mathematical logic.

• Journal of Educational Research in Mathematics
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• v.27 no.4
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• pp.639-661
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• 2017

This article reviews several classroom observational frameworks and introduces one of them, Teaching for Robust Understanding of Mathematics (TRU Math) framework, in more detail. The TRU Math framework has unique features, especially of which it helps researchers and practitioners analyze lessons with a focus on opportunities to learn and on how students access to the learning opportunities in mathematics classrooms rather than focusing on teacher behaviors. In this article, using this TRU Math framework, a Korean high school mathematics lesson was analyzed. The analysis illustrates the aspects of good mathematics teaching according to the five dimensions that we theorized. It provides implications on how to better use the tool for both research and practice in Korean school culture and teacher professional development contexts.

• The Mathematical Education
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• v.61 no.2
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• pp.339-357
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• 2022

This study explores pre-service secondary mathematics teachers (PSTs)' noticing competency. 17 PSTs participated in this study as a part of the mathematics teaching method class. Individual PST's essays regarding the question 'what effective mathematics teaching would be?' that they discussed and wrote at the beginning of the course were collected as the first data. PSTs' written analysis of an expert teacher's teaching video, colleague PSTs' demo-teaching video, and own demo-teaching video were also collected and analyzed. Findings showed that most PSTs' noticing level improved as the class progressed and showed a pattern of focusing on each key aspect in terms of the Teaching for Robust Understanding of Mathematics (TRU Math) framework, but their reasoning strategies were somewhat varied. This suggests that the TRU Math framework can support PSTs to improve the competency of 'what to attend' among the noticing components. In addition, the instructional reasoning strategies imply that PSTs' noticing reasoning strategy was mostly related to their interpretation of noticing components, which should be also emphasized in the teacher education program.

• Education of Primary School Mathematics
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• v.19 no.2
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• pp.143-160
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• 2016

Despite the recent increasing interest in classroom expertise of teachers for gifted there has been lack of research on exploring or analyzing the components of classes for gifted tailored to the characteristics of each subject matter Given this, this study looked for the components of performance domain of classes for gifted in mathematics and then analyzed one teacher's 12 lessons in terms of the components. The features of the lessons included the establishment of classroom atmosphere by considering the characteristics of mathematically gifted students, the introduction of or expansion to mathematically enriched tasks, promotion to mathematically higher thinking, and emphasis of mathematical pattern, connections, and utility. This study is expected for researchers to provide a practical case on how to analyze elementary classes for gifted in mathematics. It also helps teachers who teach gifted students to develop professional vision of mathematics instruction and to increase their classroom expertise.

• The Mathematical Education
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• v.61 no.1
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• pp.179-198
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• 2022

Teaching is delicate, complicated, and demanding work, and especially beginning teachers set forth their difficulties in preparing and implementing mathematics instruction. It is important to ensure the quality of beginning mathematics teachers' instruction above a consistent level because such affirmation justifies the national policy on teacher education as well as the individual efforts of preservice teachers in South Korea. The current study collected mathematics lessons of the two beginning teachers who graduated from the same teacher training institute and worked at the same high school. The findings reported what features their lessons have with regard to the learning environment, engaging students in learning, deepening student learning, and using representations of the edTPA in order to identify what can or cannot be expected in their mathematics instruction. The instruction of the one teacher was assessed middle or more than middle scores throughout the rubrics, but the other one had lower scores. Based on these findings, this study suggested the implications for teacher education in ways of improving the quality of instruction of beginning mathematics teachers.

• Communications of Mathematical Education
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• v.8
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• pp.257-264
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• 1999

대학수학 수업을 효율적으로 진행하면서 수업 성취도를 높일 수 있는 방법을 찾기 위해 3년간의 현장 연구 결과: 1996 학년도 "대학수학 수업 실태의 조사 분석", 1997 학년도 "흥미 및 동기유발을 위한 대학수학 수업 자료와 평가", 1998 학년도 "대학수학 학업성취도에 영향을 미치는 요인 분석" 에 근거하여 새로운 대학수학 교재(1999. 2월 출판)와 실습교재 미분적분학을 위한 Mathematica 연습(1999. 2월 출판)을 만들고, 수업 진행을 협동학습과 수준별 학습에 바탕을 두어 한 학과 40명의 학생들을 5명씩 8개의 그룹으로 나누어 역할을 분담하도록 하여 수준에 맞는 수업을 진행하고 그에 따른 평가방법을 개발하여 시도해보고 이 수업 모델이 학생들에게 효과가 있었는지, 호응을 얻었는지에 대한 비교를 1999학년도 1학기 말에 SPSS/PC+프로그램을 이용하여 조사하려고 한다.

• Journal of Gifted/Talented Education
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• v.20 no.3
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• pp.655-679
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• 2010

This study was created with the intent of improving the teaching quality of the teachers responsible for instructing higher level math programs. Additionally, this research study was designed to analyze the instruction of mathematically gifted students by using "The Flanders Category System" and "TIMSS video analysis". The results of this study will provide opportunities for a deeper understanding of ways to improve the quality of gifted instruction in mathematics and furthermore will increase the expertise of teachers in the realm of gifted education in mathematics.

• Communications of Mathematical Education
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• v.11
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• pp.159-170
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• 2001

본 연구의 목적은 개방형 교수법에 의한 수업이 수학적 문제해결력과 신념 형성에 미치는 효과를 분석함으로써 수학 교수방법의 개선에 도움을 주는 데 있다. 본 연구를 통하여 얻은 연구 결과는 첫째, 개방형 수업 집단과 일반적 수업 집단간에 문제해결력에 있어서 유의미한 차이가 있었으며, 둘째, 개방형 수업 집단과 일반적 수업 집단간에 수학적 신념에 있어서도 유의미한 차이가 있었다. 본 연구의 결과를 통하여, 개방형 교수법에 의한 수업은 일반적 수업보다 문제해결력 및 수학적 신념 수준을 향상시킬 수 있는 교수법임을 시사한다.

• The Mathematical Education
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• v.59 no.3
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• pp.237-254
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• 2020

The current study investigated the relationships between mathematical knowledge for teaching and the mathematical quality in instruction in order to gain insight about teacher education for secondary teachers in South Korea. We collected and analyzed twelve high school teachers' scores of the multiple-choice assessment for mathematical knowledge for teaching developed by the Measures of Effective Teaching project. Their instruction was video recorded and analyzed with the mathematical quality in instruction developed by the Learning Mathematics for Teaching project. We also interviewed the teachers about how they planned and assessed their instruction by themselves in order to gain information about their intention and interpretation about instruction. There was a statistically significant and positive association between the levels of mathematical knowledge for teaching and the mathematical quality in instruction. Among three dimensions of the mathematical quality in instruction, mathematical richness seemed most relevant to mathematical knowledge for teaching because subject matter knowledge plays an important role in mathematical knowledge for teaching. Furthermore, working with students and mathematics as well as students participation were critical to decide the quality of instruction. Based on these findings, the current study discussed offering opportunities to learn mathematical knowledge for teaching and philosophy about how teachers need to consider students in high schools particularly in terms of constructivism.

• Communications of Mathematical Education
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• v.19 no.1 s.21
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• pp.191-213
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• 2005

이 연구는 수학교사가 자기수업 관찰을 바탕으로 수업반성의 과정에서 발문을 어떻게 반성하는지, 반성을 통해 수업에서 발문을 어떻게 변화시키며, 교사와 학생 사이의 상호작용에 어떤 변화가 나타나는지를 분석하기 위한 것이다. 두 중학교 수학 교사를 대상으로 일주일에 1회씩 총 5회의 수업관찰과 수업반성의 순환과정을 통해 얻어진 관찰자료, 녹화자료, 면담자료로 분석한 결과는 다음과 같다. 첫째, 교사의 수업반성 결과 학생들로 하여금 수업에 더 많이 참여하고 학생 자신의 생각을 표현할 수 있도록 유도하기위한 효과적인 발문을 고안하였고, 교사 자신의 수업을 자발적으로 평가하는 경향을 보였다. 둘째, 발문의 변화 면에서 반성 초기의 수업보다 반성 후기의 수업에서 설명을 요구하는 발문유형의 빈도가 높게 나타났으며, 판단을 요구하는 발문을 하고 나서 그 판단에 대하여 설명하도록 요구하는 발문을 함으로써 학생들로 하여금 자신의 생각과 아이디어를 표현할 수 있도록 하는 것으로 나타났다. 그리고, 문제해결과정에 학생들의 참여의 기회가 늘어나도록 발문을 하는 것으로 나타났다. 셋째, 상호작용 측면에서 교사와 학생간의 상호작용이 학생과 학생들 간의 상호작용 패턴으로 변화하였고, 교사의 판서가 의사소통을 단절시키던 것에서 교사와 학생의 의사소통의 방향을 안내하는 역할을 하는 것으로 나타났다.