• The Mathematical Education
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• v.62 no.3
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• pp.363-380
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• 2023

This study analyzed the difficulties and mathematical modeling knowledge improvement that an elementary school teacher experienced in modifying a mathematics textbook task to a mathematical modeling task. To this end, an elementary school teacher with 10 years of experience participated in teacher-researcher community's repeated discussions and modified the average task in the data and pattern domain of the 5th grade. The results are as followings. First, in the process of task modification, the teacher had difficulties in reflecting reality, setting the appropriate cognitive level of mathematical modeling tasks, and presenting detailed tasks according to the mathematical modeling process. Second, through repeated task modifications, the teacher was able to develop realistic tasks considering the mathematical content knowledge and students' cognitive level, set the cognitive level of the task by adjusting the complexity and openness of the task, and present detailed tasks through thought experiments on students' task-solving process, which shows that teachers' mathematical modeling knowledge, including the concept of mathematical modeling and the characteristics of the mathematical modeling task, has improved. The findings of this study suggest that, in terms of the mathematical modeling teacher education, it is necessary to provide teachers with opportunities to improve their mathematical modeling task development competency through textbook task modification rather than direct provision of mathematical modeling tasks, experience mathematical modeling theory and practice together, and participate in teacher-researcher communities.

• Education of Primary School Mathematics
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• v.22 no.1
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• pp.95-111
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• 2019

This study searched for the possibility of tangram activities through modifying the tasks of elementary school mathematics textbooks into content based open tasks. As a result of analyzing previous researches, it was confirmed the educational effect of the mathematical tasks transformation and the educational value of tangram activities. The analysis of the textbooks revealed that the tangram activities presented in the textbooks are likely to be at the level of play. It was tried to modify 2015 revised curriculum textbook-tasks into content based open tasks. Based on this study, it could be expected advantages of task modification such as improvement of teachers' expertise and expectation of diverse reactions of students.

• Communications of Mathematical Education
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• v.12
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• pp.125-139
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• 2001

올해부터 7차 수학 교과과정에서 중학 1학년 학생을 대상으로 7단계 수학이 시작되었다. 7차 수학교육은 단계형, 수준별 학습을 명시적으로 도입하였다. 교육과정은 수학교사의 교수학적 전문 능력을 요구하고 있다. 따라서 각 학교와 수학교사들은 7차 수학 교과과정을 수행하기 위하여 적절한 교수 방법 및 운용 계획 등을 찾고 있다. 수학 교과과정이 성공적인 모든 교실 수업으로 실현되기 위하여 교육과정, 교육 상황, 과제들을 살펴보았다. 중등수학 교육과정의 유연성 및 교수학적 측면을 이해하기 위한 배경과 과제를 소개한다.

• The Mathematical Education
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• v.60 no.1
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• pp.61-76
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• 2021

The purpose of this study is to analyze the errors and difficulties which pre-service secondary teachers shows during the task modification in consideration of the cognitive demand and to provide significant implications to the pre-service teacher education program related to the modification of the mathematical tasks. In the pursuit of this purpose, tasks were selected from perpendicular bisector units and 24 pre-service teachers were asked to modify the tasks to higher and lower level tasks. After the modification activities, opportunities for reflection and modification were provided. The findings from analysis are as follows. Pre-service teachers had a difficulty to distinguish between PNC tasks and PWC tasks. Also, We identified the interference phenomena that pre-service teachers depended on the apparent elements of the task. Pre-service teachers showed a tendency to overlook the learning objectives and learning hierarchy during the task modification, and to focus on some types of task modification. However, pre-service teachers were able to have meaningful learning opportunities and extend the category of tools to technology including Geogebra through self-reflection and correction activities on task modification. The above results were summed up and we presented the implications to the task modification program in the pre-service secondary teacher education.

• Journal of Educational Research in Mathematics
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• v.25 no.4
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• pp.675-690
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• 2015

This study explore the features of mathematical tasks as an effective means to foster pre-service primary teachers' mathematical knowledge for teaching and develop mathematical task for pre-service primary teachers. As a result, prospective teachers have while solving a mathematical task, converting a given situation to a mathematical problem, and solve problems through connections with existing knowledge, and experience seeing the existing mathematical concepts from a new perspective. Finally, we discussed the conditions for a suitable mathematical task in teacher education.

• Communications of Mathematical Education
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• v.33 no.2
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• pp.123-139
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• 2019

This study analyzed how problem-posing tasks included in Korean middle school mathematics textbooks were distributed in terms of content area, task type, and context of task to investigate that the mathematics textbooks are giving students ample opportunities for problem-posing activities. The analysis of 10 mathematics textbooks for first grade in middle school according to the revised mathematics curriculum in 2015 found that the problem-posing tasks contained in the textbooks are insufficient in quantity and not evenly distributed in terms of content areas. There were also more problem-posing tasks with relatively moderate constraints than those with strong or weak constraints in terms of mathematical constraints. In addition, there were more problem-posing tasks that were not requiring students to make a new context, and more often camouflage contexts were used. Based on this, implications for improving mathematics problem-posing tasks in mathematics textbook were suggested.

• The Mathematical Education
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• v.62 no.2
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• pp.257-268
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• 2023

The purpose of the study is to analyze the characteristics of open-ended tasks in terms of cognitive demands. For this purpose, we analyzed characteristics of open-ended tasks presented in the sequence units of three high school mathematics textbooks. The results of the study have revealed that low cognitive demand levels of open-ended tasks had characteristics including procedures within previous tasks or within those tasks. On the other hand, high cognitive demand levels of open-ended tasks had characteristics of actively exploring new conditions to gain access to what is being sought, requesting a basis for judgement, linking various representations to the concepts of sequences, or requiring a variety of answers. These results are significant in that they not only specified the characteristics of open-ended tasks with high cognitive demands in terms of the intended curriculum, but also provided a direction for the development of open-ended taks with high congitive demands.

• Proceedings of the Korean Society of Computer Information Conference
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• 2013.07a
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• pp.203-206
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• 2013

본 논문에서는 컴퓨팅 집약적인 현대와 미래 사회를 대비하기 위한 컴퓨터 교육의 목표를 계산적 사고 및 이를 바탕으로 한 협력적 문제 해결 능력의 향상으로 보고 이를 실현하기 위한 컴퓨터 교육의 전망과 과제를 제시하였다. 계산적 사고 향상을 위한 컴퓨터 교육은 컴퓨터과학을 전공하는 학습자 뿐 아니라 모든 학습자를 대상으로 이루어져야 하며 이를 위해 초 중등학교 컴퓨터 교육과정의 체계적인 개선 및 계산적 사고를 바탕으로 한 간학문적 융합 학습 활동의 설계 및 평가 전략의 개발이 요구된다. 또한 여학생, 특수교육대상 학생과 같은 정보 소외 계층 학습자들의 컴퓨터과학에 대한 관심과 참여를 조장하고 협력적 문제 해결 활동을 지원하기 위한 학습 환경을 제시하여야 한다. 따라서 이러한 과제를 해결하기 위한 새로운 접근으로 예술과 컴퓨터과학의 융합 교육 활동인 E-Textiles 프로젝트의 특성과 연구 동향, 국내 적용 방안을 제시하였다.

• Journal of The Korean Association of Information Education
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• v.12 no.2
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• pp.183-194
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• 2008

This research was conducted from the perspective of student management focusing on such central topic as realization of research ethics on the basis of research ethics case study model. In this study, improvement method for research ethics education through means of application of DEVAC System, which is a paper plagiarism detection system, and survey on current status of research ethics in college education and degree of consciousness thereof were explored. Through these investigations, a topic relating to establishment of the foundation in order to foster consciousness of research ethics in the college education was established as the primary purpose of this study. To accomplish the purpose of this study, firstly, actual situation of paper plagiarism committed by the college students and their consciousness were surveyed. Secondly, the research ethics education was examined through means of applying DEVAC paper plagiarism detection system. The results from investigations revealed the followings: First, 424 students (65.43%) who participated in this research and survey on the fact of paper plagiarism had experience of report plagiarism, and the result of investigation showed that 49.3% of students among those who had experience of paper plagiarism committed report plagiarism more than three times in a semester. And, 34.1% of participants showed a positive response to the use of a paper plagiarism detection system in the college, and results from the investigation displayed that the creative education (39.0%) marked the highest scores as in the educational method to reinforce the research ethics. Second, the results from examination of paper plagiarism having applied DEVAC system indicated that use of this system can be an alternative to prevent paper plagiarism from students. It is realized through this study that there is a necessity in various respects to build up the foundation which will enable individual students to improve their consciousness to such a degree so as to make them clearly recognize the fact that plagiarism is criminal act.

• Proceedings of the Korea Society of Mathematical Education Conference
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• 2010.04a
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• pp.223-223
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• 2010

이 보고서는 수학교사가 교과교육자료를 수업에 적용할 때, 각 과제(task)의 cognitive demand의 수준이 어떻게 변화하는 지 분석하고 그 변화의 요인을 추정한 연구의 일부분이다. Mathematical Tasks Framework과 cognitive demand의 수준 (Stein & Henningsen, 1996)의 이론적 틀을 토대로, 미국 초등 수학교사의 수업을 관찰하고 인터뷰 자료를 수집, 분석하였다. 또한, 교사용 지도서와 교과서 등의 교과교육자료를 분석하였다. 연구 결과, 교사의 수업과제의 cognitive demand 수준이 교과교육자료에서 제시한 수준과 다르게 나타났다.