• East Asian mathematical journal
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• v.32 no.4
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• pp.519-543
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• 2016

Today the high school mathematics lesson has an effect on the scholastic achievement internationally, but fails to lead to the interest in the mathematics which stimulates the intellectual curiosity. Due to this, 2015 revised curriculum includes the effort to improve the emotional aspect of mathematics positively. It is needed that the teaching method through discussion and debate must be introduced to accomplish the objective of the mathematics in 2015 revised curriculum focused on the improvement of the ability and attitude to solve the problems creatively by increasing the mathematical communication skill of the students. The purpose of this study is to investigate the effect of mathematical essay-typed lesson focused on discussion and debate on the mathematical disposition and attitude of high school student. The findings from this study provided that the essay-typed lessons focused on discussion and debate improved the subject students' mathematical achievement and disposition and attitude, but it is not significant change.

• 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.

• The Mathematical Education
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• v.53 no.2
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• pp.239-261
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• 2014

The purpose of this study is to analyze the influences of discussion-based learning of mathematics using smart phone application on the middle school students' mathematics learning. For this purpose, we selected 6 open problems suitable for learning mathematical reasoning and five 3rd grade middle school students as participants who expected to participate in 6 lessons of discussion-based learning of mathematics using smart phone application. From the analysis of 6 lessons, we found the following results. First, attending the lessons of discussion-based learning of mathematics using smart phone application makes students more interested in mathematics and change their mathematics learning attitudes more positively. Second, the lessons of discussion-based learning of mathematics using smart phone application facilitate students' mathematical communication with the help of various communication methods using many functions of smart phone applications. Third, the lessons of discussion-based learning of mathematics using smart phone application provide teachers with teaching-learning environment where teachers can easily give their students consultation about mathematics learning or daily life.

• East Asian mathematical journal
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• v.32 no.2
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• pp.291-300
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• 2016

The integration of mathematics education is required Fundamentally discussion about the nature and purpose of mathematics education. After the theoretical discussion of that, Practical approach of that can be correctly realized. However, It is the impression that theoretical discussions and practical action about the current discourse about integration in mathematics education are the wrong order. To understand the practical action for the integrated approach in mathematics education, theoretical discussion of the integrated approach of mathematical education is properly required.

• The Mathematical Education
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• v.41 no.2
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• pp.189-202
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• 2002

Problem-centered learning reflects learning strategy based on constructivism. In this learning, students should find the solution in a small group discussion, and share their solutions with classmates in whole class discussion. So students participate in mathematics instruction actively and interact with other students about the strategies. We expect students would change their attitudes on mathematics and mathematical learning in these processes. In this study, we analyzed students' attitudes on mathematics and mathematical learning when they participated the problem-centered learning program. We found the change of students' attitudes to mathematics via problem-centered learning.

• Education of Primary School Mathematics
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• v.11 no.1
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• pp.59-74
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• 2008

Mathematical knowledge is not exact definition but the supposition. Considering the nature of mathematics, realization of mathematics teaching which pursues critical thinking and rationality would be our problems. Accordingly, I set the subject of this study whether learning of constructivist discussion, which induces reflective thinking through communicating with others by expression with language of mathematical thinking in discussion, is effective against attitude on Mathematics and Mathematics achievement and study themes are as follows; A. Is learning of constructivist discussion effective against attitude on Mathematics? A-1. Is there any difference of self-conception on the subject between experimental group applied to learning of constructivist discussion and comparative group? A-2. Is there any difference of attitude on the subject between experimental group applied to learning of constructivist discussion and comparative group? A-3. Is there any difference of learning habits on the subject between experimental group applied to learning of constructivist discussion and comparative group? B. Is learning of constructivist discussion effective against mathematics achievement? The objects of study are 30 children of one class in the third grade of elementary school in Seoul for experimental group, and another one class with 30 children is comparative group. Study results and conclusion based on those results are as follows; First, students make reflective thinking through communication each other, therefore, instructor should create discussion environment for communication to express and form their mathematical thinking. Next, adaptability in student's mathematics activities and mathematical ideas should be permissible, and those should become divergent thinking. However, this study analyzed comparative results from only two each class having enrollment of thirty in the third grade. Accordingly, results from students in various grades and environment that are required to get more significant conclusion statistically.

• Research in Mathematical Education
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• v.18 no.4
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• pp.307-319
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• 2014

This research is a survey study on students' attitude toward a class employing small group discussion and presentation by the method of free-listing. Participants in this study were students who registered in the course of Mathematical Logics and Writing during 2011 and 2014. Senior students who took the course of theory of mathematics education previously usually registered the course. The class for this course used to be designed as a class adopting group discussion and presentation. Main theme of this research is not to demonstrate some theories or hypothesis on teaching and learning, but rather to inquire students' attitude toward a class employing the constituents first and then through analyzing the results of this study to find practical ideas and strategy for design and implementation of a class which brings cultivation of students' understanding, communication and moreover writing in mathematics. Since the survey was given in the $8^{th}$ week of this class, participants of this research could be expected to have more concrete idea for positive or negative aspects of the classes employing these constituents. We compared both research results of 2011 and 2014 to view any changes in students' attitude. Research results are follows. Students began to think that group discussions and presentation bring out better learning to them. Not to give students psychological burden of discussion and presentation, instructors need to provide comfortable atmosphere through arranging suitable grouping and enough time for discussion. Moreover, simple evaluations criteria for group discussions and presentation should be well structured and more concrete guides for them are required to make students to feel comfortable and to concentrate on the given subject for discussion.

• Journal of Educational Research in Mathematics
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• v.12 no.1
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• pp.109-124
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• 2002

This study investigated various effects of WBD(web-based discussion) on mathematical communication, interaction and problem solving in the classroom. We developed a web site including BBS and chat room in order to encourage students' mathematical curiosities and self-studies. The web site had been operated for 6 months. Five classes of 1st grade students were selected from an middle school in Daejon. Moreover, we analyzed several cases for interactional behavior and effect. WBD promote dialogue between a teacher and students. Analysis of feed-back from BBS revealed that student's negative attitudes could be changed to positive ones by step-by-step discussions. Moreover, collaborative learning is enhanced by on-line discussion. But the effects of WBD are affected by the character and ability of a student.

• Korean Journal of Mathematics
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• v.22 no.1
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• pp.45-56
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• 2014

Modern society demands leaders who are trained with competence to not only approach knowledge but also create new knowledge by comprehensively understanding and applying it, and a leader with character and commitment to share one's ideas with others and be able to accept criticisms. In response to these societal changes, universities are increasingly adopting 'small group discussion-based classes with an attempt to develop and strengthen communication skills through reading, writing and speaking. This paper seeks to introduce a case of a math lecture, where discussion-based class was applied to mathematical education, requiring practical problem-solving through an argumentative thought process.

• 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.