• Journal of Educational Research in Mathematics
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• v.23 no.4
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• pp.449-466
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• 2013

Mathematical discussion has been highlighted so that what students do actually guides their learning of mathematics and mathematical practice. However, the work of leading mathematical discussions has not yet been specified in such a way that it can be adequately studied and taught to teachers. This study analyzes a teacher's lessons that show full engagement in leading discussions, and examines the work of leading mathematical discussions in elementary classrooms. It identifies and illustrates the central tasks of leading mathematical discussions with single case questions with five steps. This article argues several key issues in leading mathematical discussions: helping students engage in struggling with important mathematical ideas, treating mathematical connections in an explicit and public way to have coherent and structured discussions, and parsing the work of teaching at a grain size that is usable in educating teachers.

• Communications of Mathematical Education
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• v.14
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• pp.405-425
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• 2001

수학적으로 생각하고 배우는 과정에서 의사소통의 역할은 지나치게 간과되었다(Greenes, & Schulman, 1996). NCTM에서 수학적 의사소통을 강조하고 있으나, 교실 수업 여건상 충분한 의사소통 경험을 가지기 어렵다. 그리고, 정보화 시대를 맞아, 교육에서도 ICT활용 교육이 일정 수준이상으로 의무화되었다. 또한, 인터넷을 활용한 웹기반교육이 확산됨에 따라, 효과적인 수학적 의사소통 방법이 요구된다. 따라서, ICT활용 수업 활동의 한 유형으로 웹토론을 고찰하고, 실시간 채팅 중심의 웹토론이 학생들의 수학 학습 과정에 관련된 태도에 영향을 주는지를 살펴보아야 한다. 그 결과, 즉각적인 상호작용이 이루어지는 실시간 웹토론이 학생들의 인터넷을 활용한 수학에 대한 태도 영역 중 학습동기 요인에 가장 효과적이었다. 또한, 실시간 토론을 경험한 학생들의 만족도는 매우 긍정적임을 실험을 통하여 확인할 수 있었다.

• School Mathematics
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• v.5 no.1
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• pp.77-95
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• 2003

We have web-based online discussion to implement active interaction and a variety of communicative activities. I have gathered the following research questions to study about the meaning of web-based online discussion as a mathematical communication teaching method. First, what changes are there in students mathematical communication ability in web-based online discussion\ulcorner Second, how do students evaluate the web-based online discussion experience\ulcorner In this web-based online discussion, groups of middle school first grade 34 students and each group had chatting at 8 times for 10 weeks. I analyzed what they had discussed by the prints that they had sent me by e-mail. I also surveyed what they had experienced and analyzed them. In this research, the online web based discussion has given positive influence on students' competence of speaking, writing, reading and listening which are crucial to mathematical communication. Students' mathematic thinking power improved and attitudes to mathematics have become more positive.

• Journal of Gifted/Talented Education
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• v.24 no.4
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• pp.657-677
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• 2014

Considering the expansion of gifted education and the quantitative increase the Gifted Science Academy, it is important to seek the appropriate methods of mathematics teaching for gifted high school students. In particular, to reflect current trends in mathematics education that the mathematical creativity is being presented as an important educational goal, Now is the time we need student-centered discussion model for regular mathematics classes, not teacher-centered instruction in the way of knowledge transfer. In this study, class model of preparation-based discussion was designed and applied to the regular mathematics classes for the Science Academy. Students participating in this research had a lot of pressure in preparation activities for discussion, but they said that the discussion compared to traditional lecture was mathematically meaningful experience. These findings suggest the implication that class model of preparation-based discussion can be meaningfully applied to the regular mathematics class.

• Education of Primary School Mathematics
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• v.20 no.2
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• pp.131-142
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• 2017

The purpose of the study is to examine the effect of debate and discussion instruction in mathematics class on mathematics study achievements and attitudes in elementary school. To conduct the research, two classes were verified as the homogeneous groups by a preliminary examination on the fourth grade of J elementary school. After mathematics class, the subjects were conducted the same mathematics study achievement and attitude tests in two groups and were analyzed with descriptive statistics, independent t-test, t-test. Accordingly, debate and discussion instruction in mathematics class is more effective than regular lecture method instruction. debate and discussion instruction in mathematics classes are believed students will participate in the question and understand the mathematical principles and concepts themselves through action to solve the problem and influenced I have a positive attitude towards mathematics.

• Journal of Educational Research in Mathematics
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• v.24 no.2
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• pp.125-143
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• 2014

In this study, we analyzed a mathematical discussion in the Calculus II course of the Gifted Science Academy and individual interviews to determine the relationship between cognitive conflicts and commognitive conflicts. The mathematical discussion began with a question from a student who seemed to have a cognitive conflict about the osculating plane of a space curve. The results indicated that the commognitive conflicts were resolved by ritualizing and using the socially constructed knowledge, but cognitive conflicts were not resolved. Furthermore, we found that the cause of the cognitive conflict resulted from the student's imperfect analogical reasoning and the reflective discourse about it could be a learning opportunity for overcoming the conflict. These findings imply that cognitive conflicts can trigger the appearance of commognitive conflicts, but the elimination of commognitive conflicts does not imply that cognitive conflicts are resolved.

• Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology
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• v.8 no.12
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• pp.1-10
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• 2018

The purpose of this study is to analyze the mathematics competencies required in middle school Korean language class to find out ways to improve student's debate ability. The results of the analysis showed that creativity and information processing ability in research activities; problem solving ability, creativity, information processing ability in planning activities; reasoning and creativity, information processing ability in rebutting activities; problem solving and reasoning in summary activities. In cross-inquiry activities, problem solving and reasoning, information processing, and creativity are required; creativity in final focus; problem solving and reasoning ability in judgment and general review; preparation time activities require problem solving, reasoning, and information processing ability. Therefore, in order to improve the debate ability of the students, it is required that the mathematics competencies such as problem solving, reasoning, information processing, and creativity are increased.

• Proceedings of the Korea Society of Mathematical Education Conference
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• 2006.04a
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• pp.159-172
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• 2006

효율적인 수학 영재 교육 프로그램은 수학 영재의 심리적 특성에 적절한 내용과 과정을 선정하고 포함시킨 것으로 시의적절한 것이어야 한다. 수학영재를 판별하는 일은 마련된 수학영재 프로그램에 맞는 수학영재를 선발하는 작업이다.

• School Mathematics
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• v.7 no.3
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• pp.237-252
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• 2005

This study aims to present a model of mathematics classroom for gifted students by applying the social constructivism. An important function of good materials is promoting students' conjectures and discussions actively, and the model is appropriate to these kinds of materials. This model includes four stages, i. e. forming the subjective knowledge, objectifying, forming the objective knowledge, individual re-forming. And the four stages form a cycle working continuously on more progressive materials. This study presents an example of the classroom for fifteen students of grade 6 on the properties of multiples. Students performed so active investigations, and structured the con-tents learned effectively.

• Proceedings of the Korea Society of Mathematical Education Conference
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• 2006.10a
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• pp.63-78
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• 2006

미국에서 학교 수학 수업에서의 개방적 접근은 일본과 미국 연구자들의 공동연구의 결과물이다. 우리는 그것에 대한 세 가지의 측면을 실례로 살펴보면 접근을 시도하겠다. : 1) 개방된 과정(open process)(문제의 해답에 이르는 방법이 여러 가지이다: 2) 개방형 문제(open-ended problems)(문제에 대한 정답이 여러 가지가 될 수 있는 문제), 3) 일본에서 '문제로부터 문제(from problem to problem)'라고 불리는 것 혹은 문제고안(problem formulating)하기(학생들이 새로운 문제를 명확하게 나타내기 위해 자신의 생각을 써 내려 가는 것)수학 지도에서 일본의 개방적 접근에 대한 우리의 이해를 바탕으로, 우리는 미국에서 보다 효과적인 수학 지도를 위한 몇 가지 방법을 선택 적용해 보았다. 이러한 접근의 대부분은 학습 계획안을 만들 때 여러 교사가 함께 참여하고 일련의 토론과 수정과정을 거친 뒤, 많은 부분이 개선되고 효과적인 계획안을 만들어 낸다는 점에서 미국의 수학교사들에게 새로운 것이다. 또한 이 접근법에서는 교사가 문제를 해결하는 과정에서 학생 개개인이나 그룹을 활동적으로 관찰하여 그들의 활동을 비교하고 토론한다.