• Communications of Mathematical Education
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• v.36 no.4
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• pp.535-558
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• 2022

In the current society, where statistical literacy is recognized as an important ability, statistical education utilizing the statistical problem solving, a series of processes for performing statistics, is required. The result interpretation stage is especially important because many forms of statistics we encounter in our daily lives are the information from the analysis results. In this study, data on private education were provided to pre-service mathematics teachers, and a project was carried out in which they could experience a statistical problem solving process using the population mean estimation. Therefore, this study analyzed the characteristics shown by pre-service mathematics teachers during the result interpretation stage. First, many pre-service mathematics teachers interpreted results based on the data, but the inference was found to be a level of 2 which is not reasonable. Second, pre-service mathematics teachers in this study made various kinds of decisions related to public education, such as improving classes and after-school classes. In addition, the pre-service mathematics teachers in this study seem to have made decisions based on statistical analysis results, but they made general decisions that teachers could make, rather than specifically. Third, the pre-service mathematics teachers of this study were reflective about the question formulation stage, organizing & reducing data stage, and the result interpretation stage, but no one was reflective about the result interpretation stage.

• Education of Primary School Mathematics
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• v.17 no.2
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• pp.95-111
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• 2014

The purpose of this study is to determine the relationship between metacognition and math creative problem solving ability. Specific research questions set up according to the purpose of this study are as follows. First, what relation does metacognition has with creative math problem-solving ability of mathematically gifted elementary students? Second, how does each component of metacognition (i.e. metacognitive knowledge, metacognitive regulation, metacognitive experiences) influences the math creative problem solving ability of mathematically gifted elementary students? The present study was conducted with a total of 80 fifth grade mathematically gifted elementary students. For assessment tools, the study used the Math Creative Problem Solving Ability Test and the Metacognition Test. Analyses of collected data involved descriptive statistics, computation of Pearson's product moment correlation coefficient, and multiple regression analysis by using the SPSS Statistics 20. The findings from the study were as follows. First, a great deal of variability between individuals was found in math creative problem solving ability and metacognition even within the group of mathematically gifted elementary students. Second, significant correlation was found between math creative problem solving ability and metacognition. Third, according to multiple regression analysis of math creative problem solving ability by component of metacognition, it was found that metacognitive knowledge is the metacognitive component that relatively has the greatest effect on overall math creative problem-solving ability. Fourth, results indicated that metacognitive knowledge has the greatest effect on fluency and originality among subelements of math creative problem solving ability, while metacognitive regulation has the greatest effect on flexibility. It was found that metacognitive experiences relatively has little effect on math creative problem solving ability. This findings suggests the possibility of metacognitive approach in math gifted curricula and programs for cultivating mathematically gifted students' math creative problem-solving ability.

• Proceedings of the Korean Information Science Society Conference
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• 2010.06a
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• pp.154-155
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• 2010

21세기 지식정보화 시대의 정보과학기술은 중요한 교육으로 발전하고 있으며, 최근 6T를 기반으로 융합 IT는 미래사회의 중요한 과학기술로 연구 발전 시켜나가고 있다. 최근 이러한 융합적 IT기술의 근원은 창의성 계발과 아이디어를 중요시하고 있으며, 창조적 인재육성을 지향하고 있다. 창조적 인재육성은 창의적 문제해결 학습에 의한 두뇌의 발달과 창의적 설계를 가능하게 하므로 새로운 학습방법 연구가 활발히 진행 되어야 할 필요가 있다. 본 논문에서는 RDS를 이용한 창의적 문제해결 학습방법에 대하여 설명하고, 융합 IT분야에서도 미래사회에 가장 많은 영향력을 가지고 있는 지능로봇 분야의 창의적 설계와 응용을 학습할 수 있는 방법에 대하여 소개한다. RDS는 지능로봇 시뮬레이션 프로그램을 서비스 컴포넌트 기반으로 창의적 설계에 대하여 3차원 가상공간에서 학습자가 직접 프로그램으로 제작 실험이 가능하도록 지원한다. 또한 수학적, 과학적 학습의 효과를 동시에 IT에 접목할 수 있는 종합교육학습 시스템으로 발전시켜 나갈 수 있다. 시각적 시뮬레이션 환경(VSE)은 학습자의 문제해결력을 위한 경험과 실험을 동시에 실시간 제공할 수 있는 것이 큰 장점이다.

• The Bulletin of The Korean Astronomical Society
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• v.36 no.2
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• pp.129.2-129.2
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• 2011

망원경을 사용하여 천체를 관측할 때, 망원경은 기계적인 오차, 구동제어 오차 등의 영향을 받는다. 제어를 위하여 천체영상을 획득하는 부분은 시간 지연, 상의 왜곡 등의 영향을 받는다. 더우기, 바람이나 진동 등 예기치 않은 외부적인 요인에 의한 오차가 유발되기도 한다. 이러한 다양한 요인들은 망원경이 천체를 정확히 찾아가고 추적하는 것을 어렵게 만든다. 우리는 추적오차에 주는 영향들을 정량적으로 분석하고 제어에 반영하여 가장 최적의 제어를 할 수 있도록 하고자 한다. 이전 연구에서 김해천문대 독일식 적도의 방식 200mm 망원경과 PLC 기반의 망원경 제어 장치 및 AP8 CCD 카메라를 사용하여, 지향 및 추적 관측 실험을 하였고, 그 결과를 분석하여 경험적 제어 모형을 만들었다(강용우 외, 2010). 이전 연구를 기반으로 이번 연구에서는 제어 전달을 해석적 함수로 시스템의 수학적 모델을 세워, 각 요인들의 영향을 분석하여, 그 내용을 소개하고자 한다.

• Journal of Educational Research in Mathematics
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• v.19 no.4
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• pp.493-511
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• 2009

The purpose of this thesis is to discuss the characteristic methods of Mathematics Education. However, it is not simple to find the proper research method of Mathematics Education since Mathematics Education deals with the practice of teaching and learning mathematics, as well as the topics of scholarly research on the practice. Issues on Mathematics Education might vary with the epidemical aspects, which are basic attitudes toward the knowledge and understanding about Mathematics. Thus, this thesis will discuss two questions: First, What are the distinguishing characteristics of Mathematics Education as a field of study, when compared with ones of mathematics? Second, What are the characteristic methods of Mathematics Education, when compared with ones of other academic fields? For solving those questions, this thesis starts from meanings of science and education. And it also classifies Mathematics as formal science whereas Mathematics Education as social science by showing differences between Mathematics and Mathematics Education: research subject of Mathematics targets on mathematics itself and it uses the deductive method. On the other hand, Mathematics Education research handles the practice of mathematics of students and uses plausible reasoning. Also, it will also show why Mathematics Education shares lots of aspects with social science, not with natural science, which has many different characteristics from those of social science. Many researchers have agreed that Education should be categorized into the social science but misplaced Mathematics Education and Science Education into the natural science. It is true that physics and chemistry are natural science. And also it should be said that pure science is formal science. But it should be considered that just like Education, Mathematics Education and Science Education are in the category of social science.

• Journal of Gifted/Talented Education
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• v.11 no.3
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• pp.45-68
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• 2001

The Gifted need the constructivist loaming environments that reflect his or her cognitive and affective characteristics and needs to exert their potential fully. 'Structural Communication'was designed to encourage creative thinking in learners, allowing them to create an understanding of a topic, not simply memorize facts. It is considered in line with constructivist philosophy and cognitive paradigms. The major purpose of this study is to explore 'Web-Based Structural Communication'program to embody the collaborative loaming based on constructivism. It was applied on high school $2\times2$ matrix teaming for the gifted students. Recently developed computer technology, emerging network facilities, and internet enable us to extend the usefulness and efficiency of 'Structural Communication’Especially web provides not only the discussion environment that is free from space and time constraints and characteristics of leasers, but also the experiences of knowledge construction through the collaborative learning. Through the 'Web-based Structural Communication', the gifted will be able to argue, persuade and share their unique ideas and gradually elaborated ill-structured ideas. The gifted will escape from the tunnel vision of the early time and have multiple perspectives that are more objective and logical. As the result, the gifted are expected to acquire the effect of 'the Zone of Proximal Development'that Vygotsky advocated.

• Education of Primary School Mathematics
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• v.26 no.1
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• pp.65-82
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• 2023

The purpose of this study is to examine how pre-service teachers' digital capabilities and content knowledge for teaching pi appear and are strengthened in the process of developing digital-based teaching and learning materials of pi, and to derive implications for pre-service teacher education. To this end, the researchers analyzed the process of two pre-service teachers developing exploratory activity materials for teaching pi using block coding of AlgeoMath program. Through the analysis results, it was confirmed that AlgeoMath' block coding activities provided an experience of expressing and expanding the digital capabilities of pre-service teachers, an opportunity to deepen the content knowledge of pi, and to recognize the problems and limitations of the digital learning environment. It was also suggested that the development of digital materials using block coding needs to be used to strengthen digital capabilities of pre-service teachers, and that the curriculum knowledge needs to be emphasized as knowledge necessary for the development of digital teaching and learning materials in pre-service teacher education.

• Communications of Mathematical Education
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• v.28 no.3
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• pp.353-366
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• 2014

Recently, the widespread usage of 3D-Printing has grown rapidly in popularity and development of a high level technology for 3D-Printing has become more necessary. Given these circumstances, effectively using mathematical knowledge is required. So, we have developed free web tools for 3D-Printing with Sage, for mathematical 3D modeling and have utilized them in college education, and everybody may access and utilize online anywhere at any time. In this paper, we introduce the development of our innovative 3D-Printing environment based on Calculus, Linear Algebra, which form the basis for mathematical modeling, and various 3D objects representing mathematical concept. By this process, our tools show the potential of solving real world problems using what students learn in university mathematics courses.

• Journal of The Korean Association of Information Education
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• v.12 no.2
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• pp.195-202
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• 2008

The programming learning by using a robot may be one of the most appropriate learning methods for enabling students to experience the creative learning of future society by avoiding the existing stereotyped style educational environment, and understand and improve algorithm which is the basic fundamental of mathematics and science. This study proposed four types of items of errors which may occur during robot programming by elementary school students, and made elementary school students in the fifth and sixth grades learn robot programming after developing the curriculum for the robot programming. Then, the study collected and classified errors that had occurred during the process of learning, and conducted a comparative analysis of computer-based programming language which had been previously studied. This study identified that robot programming in elementary school was shown superior to existing computer-based programming language as a creative learning method and tool through the field experience.

• Journal of Gifted/Talented Education
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• v.26 no.3
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• pp.515-539
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• 2016

The purpose of this study is to develop the integrated curriculum for gifted elementary students based on ICM (Integrated Curriculum Model) and to apply it for analysis of the relationship between creativity and creative problem solving skills. An integrated curriculum for gifted students attending a university-affiliated institute was developed and applied to twenty mathematically gifted 5th and 6th grade students. TTCT language test and CAT test for students' products from activities were conducted. In addition, tape-recorded group discussions and activities during instruction, and interview with students and teacher, activity sheets were analyzed. As results, their language abilities shown TTCT test have been improved. Furthermore, the correlation between the test results of automata and language creativity, the average of two projects and language creativity, and future problem solving and the average of TTCT showed significant correlations. Results showed the gifted students' understanding of high level concepts and cooperation among groups were needed in order to improve creative problem solving. It suggested a further study research the integrated curriculum applying creativity and giftedness to real-life problem situations for gifted students to make them grow into essential competent persons in the future.