• School Mathematics
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• v.12 no.4
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• pp.507-530
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• 2010

The purpose of this study was to help teachers for their teaching practice by analyzing the excellent lesson videos. To analyze the lesson videos between teacher and students, the researchers classified excellent lesson classes into four types as 'Discourse type', 'Representation type', 'Operation type' and 'Complex type' by mathematical communication pattern and kept close watch each lesson videos. Mathematical communication of the best discourse type classroom was analyzed in terms of questioning, explaining, and the sources of mathematical ideas. As a result, the number of Discourse type classes was 6. Operation type classes were 16 owing to characteristic of elementary class. Representation type class was 1 and Complex type class was 1. The Classes excluding Operation type was more planned by teachers. Teachers need to know about mathematical communication accurately because they designed just 5 lesson plan considering mathematical communication of students and only one of the lessons has the intellectual purpose of communication. Furthermore teachers should reflect questioning for student-to-student in their lesson plan.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.17 no.3
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• pp.373-379
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• 2016

This study examined the level-differentiated mathematic classes to offer basic data for effective college mathematics curriculum. Using the Kolb Learning Style, this study surveyed 213 college engineering students in 6 level-differentiated classes in one university and analyzed the significant consequence. The results showed that the ranking of the Learning Style in a superior mathematic class is Diverger, Accommodator, Assimilator, and Converger. Second, the ranking of the Learning Style in the inferior mathematics class was Accommodator, Diverger, Assimilator, and Converger. Third, for effective class of superior mathematics class, professors need to give sufficient time to analyze mathematics problems by the students themselves. Fourth, for an effective class of inferior mathematic class, professors need to use experimental and diverse teaching method to enhance the students' concentration and learning achievement. Based on this study, professors should develop teaching methods that fit the students' Learning Style and the properties of college mathematics curriculum.

• Journal of Science Education
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• v.38 no.1
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• pp.78-95
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• 2014

Students' interest and motivation of a lesson can be deeply influenced by how their teacher starts his or her lesson. So the introduction part of math classes should be very carefully and thoughtfully designed. The goal of this study is to serve the foundation for developing the practical types of introduction part of math classes and to draw the implications for planning and teaching math classes. For these, 19 lesson plans titled by 'volume of cylinders' composed by elementary teachers and 2 lesson videos on the internet are analyzed. Finally, seven types of introduction parts of math class are probed and several implications are suggested.

• 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.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.2
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• pp.385-415
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• 2011

To investigate the more effective mathematical communication process, a recommended teacher and a selected class as an exemplary model was analyzed with Flanders system. The mathematical communicative level was examined to measure content level using the framework analysing the mathematical communicative level(Park & Pang) based on describing levels of math-talk learning community(Hufferd-Ackles). The purposes of this paper are to describe the verbal flow pattern between teacher and students in the elementary school class for mathematically gifted students, and to propose the effective communication model of math-talk with analysis of verbal teaching behavior in the active class. In addition the whole and the parts of the exemplary class sample is respectively analysed to be used practically by elementary school teachers. The results show the active communication process with higher level presents a pattern 'Ask Question${\rightarrow}$Activity (Silence, Confusion or work)${\rightarrow}$Student-Initiated Talk${\rightarrow}$Activity (Silence, Confusion or work), and the teacher's verbal behavior promoting math communication actively is exhibited by indirect influence especially accepting or using ideas.

• The Mathematical Education
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• v.62 no.2
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• pp.195-209
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• 2023

This study examined the effect and structural relationship of math teachers' teaching ability and class activity types on learners' value perception, confidence, and interest of mathematics at the student level and teacher level. To this end, data from 2nd graders of korea middle school in TIMSS 2019 were applied to the multilevel structural equation model. As a result of the analysis, the teaching ability of math teachers had a positive effect on value perception, confidence, and interest of mathematics at the student level and teacher level. Also, math value perception and math confidence had a positive effect on math interest. and it was confirmed that the teaching ability of math teachers indirectly had a positive effect on math interest by mediating math value perception and math confidence. In addition, the math class activity of applying what was learned to problems had a positive effect on math value perception, but it had a negative effect on math interest. and the class activity of the same ability group had a positive effect on math confidence and math interest. This study presents meaningful implications for math classes in the school field through a multilevel analysis of the student level and the teacher level.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.3
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• pp.435-455
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• 2015

This study is aimed at analyzing the level change and features of mathematical communication in elementary students' expository writing. 20 students of 5th graders of elementary school in Seoul were given expository writing activity for 14 lessons and their worksheets was analyzed through four categories; the accuracy of the mathematical language, logicality of process and results, specificity of content, achieving the reader-oriented. This study reached the following results. First, The level of expository writing about concepts and principles was gradually improved. But the level of expository writing about problem solving process is not same. Middle class level was lower than early class, and showed a high variation in end class again. Second, features of mathematical communication in expository writing were solidity of knowledge through a mathematical language, elaboration of logic based on the writing, value of the thinking process to reach a result, the clarification of the content to deliver himself and the reader. Therefore, this study has obtained the conclusion that expository writing is worth keeping the students' thinking process and can improve the mathematical communication skills.

• 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.

• Journal of Educational Research in Mathematics
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• v.20 no.3
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• pp.357-371
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• 2010

This study aimed to investigate how two eighth-grade mathematics teachers' pedagogical content knowledge is manifested in their classroom instruction. A case study was conducted for the study. The results revealed similarities and differences in the teachers' knowledge manifested in their mathematics classrooms and that the two teachers had slightly different structures of pedagogical content knowledge. One teacher is more dependent on his knowledge of mathematics and knowledge of students' understanding and the other teacher on her knowledge of instructional process and, to a lesser extent, knowledge of mathematics.

• School Mathematics
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• v.15 no.1
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• pp.15-35
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• 2013

The purpose of the research is to categorize math learners into pattern through those tools that distinguish math learning style for middle school students. On the ground of survey for 976 middle school students, the fact that there are 16 different math learning style at the result of cluster analysis is confirmed and the results are compared and analyzed previous research. Also according to the each constituent of math learning style, dissimilarity of distribution about learner of different sexes and grades are analyzed. It's helpful to understanding the whole characteristics of learners regarding math learning to figure out their cognitive and affective learning styles through the tools to distinguish their math learning styles.