• Journal of Educational Research in Mathematics
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• v.22 no.2
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• pp.229-259
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• 2012

The purpose of the present study is to develop instrument of mathematical belief of middle school and high school students and to analysis results of test using the instrument. Based on the results of literature review, mathematical belief is the cumulative effects of self-assessment and self-concept in mathematical learning and achievement experience. Four sub-components of mathematical belief is identified belief of school mathematics, belief of mathematical problem solving, mathematical self-concept, belief of mathematical teaching and learning. The instrument was developed to investigate mathematical belief by reflecting Korean middle school and high school students' psychological characters. To develop the appropriate items for the mathematical belief, after reviewing literature thoroughly, first version of the instrument was developed and exploratory factor analysis and confirmatory factor analysis were conducted. Then, to reduce the effect of the gender difference and achievement level difference, Correlation Analysis and 1-way ANOVA was performed. Also, using multiple group confirmatory factor analysis, this instrument was investigated to see whether this can be used for both middle school and high school. The final items for middle school students is consisted 7 items of belief of school mathematics, 9 items of belief of mathematical problem solving, 11 items of mathematical self-concept, 10 items of belief of mathematical teaching and learning. Instrument of mathematical belief for high school students is consisted 9 items of belief of school mathematics, 9 items of belief of mathematical problem solving, 11 items of mathematical self-concept, 11 items of belief of mathematical teaching and learning. This study examined the differences about mathematical belief's sub-factors shown by three groups of mathematics achievement level. Students of higher achievement level showed that the degree of most factors ware the highest excepting stereotype of belief of school mathematics. Also, Male students preferred more positive in mathematics belief than female students.

• School Mathematics
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• v.15 no.1
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• pp.121-136
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• 2013

The purpose of study was to develop distance education programs that combine the characteristics of the programs for the math gifted students. To this end, the first is to establish the standards for the development of distance programs for the math gifted students. The second is to develop the distance education programs for the elementary school math gifted students according to the program procedure models for distance education. The third is to apply the programs developed to actual distance education field and analyze the results to verify the validity of the programs. This program can increase high-level mathematical thinking power even though it is the distance education, not the face-to-face education. Second, this program make contributions to active mathematical communication through newsgroup or reflective journals. Third, the use of Diffy Game facilitates the selection of in-depth contents, which will in turn enable the development of intensive programs.

• Education of Primary School Mathematics
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• v.21 no.3
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• pp.309-327
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• 2018

This study is a case study of an elementary school teacher's reflection and practice in the process of planning, executing and criticizing his lesson on division with decimals. The purpose of this study was to clarify what kinds of problems an elementary school teacher was thinking about and how his focus was changing in the process of planning and executing a lesson and criticizing his lesson with his peers. The teacher was set in three periods: a teacher planning a lesson, a teacher executing a lesson, and a teacher criticizing his or her own lesson. Each period was analyzed in eight aspects: Establishing the goals for mathematics, implementing tasks, connecting mathematical representations, facilitating mathematical discourse, posing questions, building procedural fluency from conceptual understanding, supporting productive struggles, and using evidences of students' thinking.

• The KIPS Transactions:PartA
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• v.12A no.5 s.95
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• pp.385-390
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• 2005

Set constraints logic language is a language that adopts `set theory` in programming. In this paper, we introduce the procedure for solving set constraints proposed by A. Dovier and show how the procedure can be implemented in logic language Prolog. The procedure is represented in `rewriting rules` and this representation is characterized by having nondeterministic rule applicationsand mathematical variables that is difficult to be implemented in general programming languages. In this paper, we show that the representation can be easily implemented by using nondeterministic control, logical variables and data structure `list` provided in Prolog. Our implementation has following advantages.First we have implemented the full features of the language. Second we have described the implementation detail in thisresearch. Third other used the commercial Prolog called SICStus, but we are using CIAO Prolog with GNU GPL(General Public License) and anyone can use it freely. Forth the software of our implementation is open source so anyone can use, modify, and distribute it freely.

• Journal of Gifted/Talented Education
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• v.11 no.2
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• pp.107-126
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• 2001

This study is focused on the selection program of mathematical gifted children on the middle school. To fulfill this purpose, I consider the testing program using cyber system. If we use the cyber system, we can survey mathematical play(for example, puzzle) and several mathematical activity of gifted children. Cyber system will be help as a subsidiary selection tool.

• Journal of The Korean Association of Information Education
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• v.9 no.1
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• pp.69-76
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• 2005

The researcher conducts the following research to correctly identify the gifted children of science information. First, the researcher makes sufficient theoretic research on gifted children for the sake of definition and identification of the gifted children of information science, and reconstructed the identification principles, factors and procedures of the gifted children of information science on the basis of those of the gifted children of math and science the theories of a number of scholars and presented new methods of identifying new gifted children of information science. Second, the researcher set the identification procedures of the gifted children of information science and the relevant content and conducted the identification of gifted children through the observation and evaluation of sixth graders through three stages. Third, the researcher compares and analyzed the selected gifted children based on the identification procedures and ordinary groups of students excellent in math and science in terms of task achievement and looked into validity.

• Journal of Elementary Mathematics Education in Korea
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• v.1 no.1
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• pp.87-98
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• 1997

A practice is classified into the practice as a content and the practice as a method. The former means that the practical nature of mathematical knowledge itself should be a content of mathematics and the latter means that one should teach the mathematical knowledge in such a way as the practical nature is not damaged. The practical nature of mathematics means mathematician's activity as it is actually done. Activities of the mathematician are not only discovering strict proofs or building axiomatic system but informal thinking activities such as generalization, analogy, abstraction, induction etc. In this study, it is found that the most instructive ones for the future users of mathematics are such practice as content. For the practice as a method, students might learn, by becoming apprentice mathematicians, to do what master mathematicians do in their everyday practice. Classrooms are cultural milieux and microsoms of mathematical culture in which there are sets of beliefs and values that are perpetuated by the day-to-day practices and rituals of the cultures. Therefore, the students' sense of ‘what mathematics is really about’ is shaped by the culture of school mathematics. In turn, the sense of what mathematics is really all about determines how the students use the mathematics they have learned. In this sense, the practice on which classroom instruction might be modelled is that of mathematicians at work. To learn mathematics is to enter into an ongoing conversation conducted between practitioners who share common language. So students should experience mathematics in a way similar to the way mathematicians live it. It implies a view of mathematics classrooms as a places in which classroom activity is directed not simply toward the acquisition of the content of mathematics in the form of concepts and procedures but rather toward the individual and collaborative practice of mathematical thinking.

• Proceedings of the KIPE Conference
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• 2007.11a
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• pp.18-20
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• 2007

3상 계통 연계 형 인버터 시스템은 낮은 THD를 가지는 계통 전류를 공급해주기 위해 LCL 필터를 사용한다. LCL 필터를 사용하는 가장 큰 장점은 낮은 스위칭 주파수에서도 만족할 만한 수준의 THD를 가지는 계통 전류를 생성시킬 수 있다는 점이다. 반면에, 단점은 LCL필터를 포함하는 계통 연계 형 인버터 시스템의 전달함수에 하나의 공진 극점이 존재한다는 점이다. 이것은 계통 전류 제어 loop에서, 안정성 문제에 영향을 미친다. 정확한 제어를 위해서 시스템의 전달함수는 필수적이다. 여기서 중요한 점은 많은 저자들이 시뮬레이션과 실험을 할 때, 중성점이 없는 회로에서 행하지만 회로 해석을 할 때에는 중성점이 있는 회로에서 해석을 한다는 점이다. 그래서 우리는 등가 델타회로에서 LCL 필터를 포함한 전체 시스템의 수학적인 모델을 제안한다. 이 모델은 모든 인덕터와 커패시터의 기생 저항을 고려한다. 또한 이 논문은 계통 전류를 제어하기 위한 제어기의 해석적인 설계 절차를 포함한다. 제안한 수학적인 모델을 입증하기 위해, PSIM을 통한 시뮬레이션과 Simulink를 통한 시뮬레이션 결과를 비교하였다.

• Journal of Educational Research in Mathematics
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• v.25 no.1
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• pp.21-58
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• 2015

The aim of this study is to look into the didactical background for teaching proportional reasoning in elementary school mathematics and offer suggestions to improve teaching proportional reasoning in the future. In order to attain these purposes, this study extracted and examined key ideas with respect to the didactical background on teaching proportional reasoning through a theoretical consideration regarding various studies on proportional reasoning. Based on such examination, this study compared and analyzed textbooks used in the United States, the United Kingdom, and South Korea. In the light of such theoretical consideration and analytical results, this study provided suggestions for improving teaching proportional reasoning in elementary schools in Korea as follows: giving much weight on proportional reasoning, emphasizing multiplicative comparison and discerning between additive comparison and multiplicative comparison, underlining the ratio concept as an equivalent relation, balancing between comparisons tasks and missing value tasks inclusive of quantitative and qualitative, algebraic and geometrical aspects, emphasizing informal strategies of students before teaching cross-product method, and utilizing informal and pre-formal models actively.

• Communications of Mathematical Education
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• v.37 no.2
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• pp.233-256
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• 2023

This study conducted foundational research to derive ways to use ChatGPT in mathematics education by analyzing ChatGPT's responses to questions from the National Assessment of Educational Achievement (NAEA) and the College Scholastic Ability Test (CSAT). ChatGPT, a generative artificial intelligence model, has gained attention in various fields, and there is a growing demand for its use in education as the number of users rapidly increases. To the best of our knowledge, there are very few reported cases of educational studies utilizing ChatGPT. In this study, we analyzed ChatGPT 3.5 responses to questions from the three-year National Assessment of Educational Achievement and the College Scholastic Ability Test, categorizing them based on the percentage of correct answers, the accuracy of the solution process, and types of errors. The correct answer rates for ChatGPT in the National Assessment of Educational Achievement and the College Scholastic Ability Test questions were 37.1% and 15.97%, respectively. The accuracy of ChatGPT's solution process was calculated as 3.44 for the National Assessment of Educational Achievement and 2.49 for the College Scholastic Ability Test. Errors in solving math problems with ChatGPT were classified into procedural and functional errors. Procedural errors referred to mistakes in connecting expressions to the next step or in calculations, while functional errors were related to how ChatGPT recognized, judged, and outputted text. This analysis suggests that relying solely on the percentage of correct answers should not be the criterion for assessing ChatGPT's mathematical performance, but rather a combination of the accuracy of the solution process and types of errors should be considered.