• Education of Primary School Mathematics
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• v.11 no.2
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• pp.121-139
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• 2008

This study analyzed problem presenting and solving activities in elementary school mathematics class to enhance insights of teachers in class for providing real meaning of learning. Following research problems were selected to provide basic information for improving to sound student oriented lesson rather than teacher oriented lessons. Protocols were made based on video information of 5th grade elementary school 'Na' level figure and measurement area 3. Congruence of figures, 4. Symmetry of figures, and 6. Areas and weight. Protocols were analyzed with numbering, comment, coding and categorizing processes. This study is an qualitative exploratory research held toward three teachers of 5th grade for problem solving activities analysis in problem presenting method, opportunity to providing method to solve problems and teachers' behavior in problem solving activities. Following conclusions were obtained through this study. First, problem presenting method, opportunity providing method to solve problems and teachers' behavior in problem solving activities were categorized in various types. Second, Effective problem presenting methods for understanding in mathematics problem solving activities are making problem solving method questions or explaining contents of problems. Then the students clearly recognize problems to solve and they can conduct searches and exploratory to solve problems. At this point, the students understood fully what their assignments were and were also able to search for methods to solve the problem. Third, actual opportunity providing method for problem solving is to provide opportunity to present activities results. Then students can experience expressing what they have explored and understood during problem solving activities as well as communications with others. At this point, the students independently completed their assignments, expressed their findings and understandings in the process, and communicated with others. Fourth, in order to direct the teachers' changes in behaviors towards a positive direction, the teacher must be able to firmly establish himself or herself as a teaching figure in order to promote students' independent actions.

• Journal of the Korean School Mathematics Society
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• v.17 no.2
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• pp.207-234
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• 2014

There has been an increasing concern of how mathematical idea indicates and shares in a way to promote students' mathematical development. Such ideas highlighting need of the culture of mathematics classroom in mathematical education. The culture of mathematics classroom was constructed classroom social norms, sociomathematical norms, and classroom mathematical practice. This paper investigated how sociomathematical norms were constructed in two elementary mathematics classrooms by two different teachers.

• Journal for History of Mathematics
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• v.23 no.3
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• pp.141-168
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• 2010

Mathematical communication is necessary to exchange mathematical idea among participants in teaching-learning process. The promotion of mathematical communication competence is clearly stated in many parts of the 2007 revised curriculum. As a result, mathematical communication tasks are contained in 'high school Mathematics' textbook. At this point of time when increasing importance of mathematical communication is realized, we will check over mathematical communication and analyze communicative tasks corner in 'high school Mathematics' textbook in this paper And thereby we hope this study help prepare for practical communicative tasks corner suggesting a way for invigoration of mathematical communication.

• 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.

• Communications of Mathematical Education
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• v.37 no.3
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• pp.497-516
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• 2023

The purpose of this study is to explore the possibility of enhancing teachers' pedagogical design capacity using ChatGPT. For this purpose, a survey was conducted to investigate preservice teachers' perceptions of ChatGPT, and lesson plans created using ChatGPT were analyzed from the perspectives of design elements, conversations with ChatGPT, and information transforming. The results showed that pre-service teachers have a rather passive attitude toward the use of ChatGPT, and that teacher moderation and ChatGPT characteristics affect pre-service teachers' perceptions of the use of ChatGPT. In addition, pre-service teachers mainly used ChatGPT for motivational activities and play activities, and there were significant differences in the level of utilization of ChatGPT among individuals, i.e., how they interacted with ChatGPT and how they transformed information. Based on these findings, we explored the possibility of using ChatGPT for teacher professional development and teacher education.

• Education of Primary School Mathematics
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• v.22 no.4
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• pp.281-294
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• 2019

The purpose of this study is to analyze errors and treatment behavior during the course of mathematics learning of academic achievement by applying reflective activities in the second semester of the third year of elementary school. The study participants are students from two classes, 21 from the third-grade S elementary school in Seoul and 20 from the comparative class. In the case of the experiment group, the multiplication unit was reconstructed into a mathematics class that applied reflective activities. They were pre-post-test to examine the changes in students' mathematics performance, and mathematical communication was recorded and analyzed for the focus group to analyze the patterns of learners' error handling in the reflective activities. In addition, they recorded and analyzed students' activities and conversations for error type and error handling. As a result of the study, the student's mathematics achievement was increased using reflective activities. When learning double digit multiplication, the error types varied. It was also confirmed that the reflective activities helped learners reflect on the multiplication algorithm and analyze the error-ridden calculations to reflect on and deal with their errors.

• Journal of Educational Research in Mathematics
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• v.25 no.3
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• pp.323-345
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• 2015

This study examined the types of abduction appeared in the exploration activities of 'law of large numbers' in order to figure out relation between statistical reasoning and abduction. When the classroom discourse of students was analyzed by Peirce's abduction, Eco's abduction type and Toulmin's argument pattern, students used overcoded abduction the most in the discourse of abduction. However, there composed a low percent of undercoded abduction leading to various thinking, and creative abduction used to make new principles or theories. By the CAS calculators used in the process of reasoning, students were provided with empirical context to understand the concept of abstract probability, through which they actively participated in the argumentation centered on the reasoning. As a result, it was found that not only to understand the abduction, but to build statistical context with tools in the learning of statistical reasoning is important.

• School Mathematics
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• v.17 no.2
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• pp.223-239
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• 2015

This study focused on classroom dialogue for communicating spatial information which is supposed to be implemented through learning activities using building-blocks. Even though mathematics textbooks for $2^{nd}$ graders have activities which require abilities of explaining and understanding some spatial information, we know few about how mathematical communication between teacher and students or among students and which strategies are more effective. For this reason, two building-block lessons for $2^{nd}$ graders were observed. The characteristics of teachers' instruction and students' explanation were identified and the mathematical communication between teachers and students or among students was analyzed. As a result, mains factors of impeding students' explanation and understanding were induced and the types of their communication were classified. Based on these results, several teaching strategies for effective communication in buildingblock lessons were suggested.

• Journal of Elementary Mathematics Education in Korea
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• v.16 no.1
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• pp.97-124
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• 2012

The purpose of this study is to examine the effects of mathematics instruction using children's literature on students' mathematical communication and attitude. To conduct this research, a total of 59 6th grade students were selected from an elementary school in Seoul, and three different types of teaching methods using children's literature were applied to the treatment group, while a traditional teaching method was adopted to the comparison group. Children's literature was used in the actual classroom environment for about 20 minutes in the course of 10 weeks treatment, and the results were analyzed to find the effects of using children's literature during mathematics teaching on students' mathematical communication skills and attitudes toward mathematics. The results of the present study were as follows: First, with respect to mathematical communication aspects, the treatment group achieved significantly higher mathematical communication skills than that of the comparison group. That is to say, this result shows that students learning mathematics using children's literature seem to have more mathematical communication abilities than students in the textbook-based mathematics learning group. Secondly, the results of this study point out that students in the treatment group have more positive attitude toward mathematics as a result of learning that the other group of students focused on textbook-based mathematics learning. In conclusion, the current study demonstrates that mathematics teaching using children's literature made more significant impact on students' mathematical communication ability and attitudes toward mathematics than the comparative method focused on a traditional textbook-based mathematics teaching method.

• School Mathematics
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• v.16 no.1
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• pp.39-56
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• 2014

This study analysed 8 gifted students' behavior of using calculator in the 5th grade based on qualitative data of direct proportion class with the utilization of the calculator. Pretesting with questionnaire had been made to verify students' developmental stages of proportional reasoning, and the stage was categorized according to Baxter & Junker (2001). The learning contents were made of worksheet, and the researcher held the class for 60 minutes. For analysing data, record of class was gathered to make a transcript and analysed it with Guin & Trouche' behavior of using calculator type. According to the result, each type of the behavior affected students' development of proportional reasoning differently.