• Education of Primary School Mathematics
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• v.20 no.1
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• pp.53-68
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• 2017

Although the table, as one of the representations for helping mathematics understanding, steadily has been shown in the mathematics textbooks, there have been little studies that focus on the table and analyze how the table may be used in understanding students' functional thinking. This study investigated the elementary school 5th graders' abilities to design function tables. The results showed that about 75% of the students were able to create tables for themselves, which shaped horizontal and included information only from the problem contexts. And the students had more difficulties in solving geometric growing pattern problems than story problems. Building on these results, this paper is expected to provide implications of instructional directions of how to use the table as 'function table'.

• Journal of Educational Research in Mathematics
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• v.14 no.3
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• pp.221-237
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• 2004

This research analyzed mathematical discourse of the students in an RME-based differential equations course at a university in order to investigate the social transformation of the students' conceptual model of differential equations. The analysis focused on the change in the students' use of conceptual metaphor for differential equations and pedagogical factors promoting the change. The analysis shows that discrete and quantitative conceptual model was prevalent in the beginning of the semester However, continuous and qualitative conceptual model emerged through the negotiation of mathematical meaning based on the inquiry of context problems. The participation in the project class has a positive impact on the extension of the students' conceptual model of differential equations and increases the fluency of the students' problem solving in differential equations. Moreover, this paper provides a discussion to identify the pedagogical factors Involved with the transformation of the students' conceptual model. The discussion highlights the sociocultural aspect of teaching and learning of mathematics and provides implications to improve teaching of mathematics in school.

• New Physics: Sae Mulli
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• v.68 no.12
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• pp.1364-1373
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• 2018

A recognizable form having meaning is called a sign in semiotics. The sign is transformed into a physical counter form in this work. Its internal structure is restricted on the linguistic concept structure. We borrow the concept of a mathematical function from the utility function of a rational personal in the economy. Universalizing the utility function by introducing the consistency of independency on the manner of construction, we construct the probability. We introduce a random variable for the probability and join it to a position variable. Thus, we propose a physical sign and its serial changes in the forms of stochastic equations. The equations estimate three patterns (jumping, drifting, diffusing) of possible solutions, and we find them in the one-day stock-price flow. The periods of jumping, drifting and diffusing were about 2, 3.5, and 6 minutes for the Kia stock on 11/05/2014. Also, the semiotic sign (icon, index, symbol) can be expected from the equations.

• Journal of the Korean School Mathematics Society
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• v.20 no.4
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• pp.369-385
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• 2017

This study is to figure out the activity and disposition of gifted students with face plot in exploratory data analysis at middle school mathematics class. This study has begun on the basis of the doing mathematics at multivariate analysis beyond one variable and two variables. Gifted students were developed the good learning habits theirselves. According to this result, Many gifted students have an interesting experience at data analysis with Face Plot. And they felt the useful methods of creative thinking about graphics with doing mathematics at mathematical tasks. I think that teachers need to learn the visualization methods and to make and to develop the STEAM education tasks connected real life. It should be effective enough to change their attitudes toward teaching and learning at exploratory data analysis.

• Journal of KIISE:Software and Applications
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• v.37 no.5
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• pp.386-393
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• 2010

A defect in an image is a set of pixels forming an irregular shape. Since a defect, in most cases, is not easy to be modeled mathematically, the defect detection problem still resides in a research area. If a given image, however, composed by certain patterns, a defect can be detected by the fact that a non-defect area should be explained by another patch in terms of a rotation, translation, and noise. In this paper, therefore, the defect detection method for a repeated multi-patterned image is proposed. The proposed defect detection method is composed of three steps. First step is the interest point detection step, second step is the selection step of a appropriate patch size, and the last step is the decision step. The proposed method is illustrated using SEM images of semiconductor wafer samples.

• Journal of Educational Research in Mathematics
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• v.18 no.4
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• pp.435-453
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• 2008

This study was on autobiographical traditions, in particular, autobiographies of teachers. First, autobiographical method was suggested as a kind of qualitative inquiry on the teaching mathematics. Second, as a case of autobiographical method, autobiographies of an elementary school teacher were presented. In the case, the author of autobiographies was also a researcher. It showed the struggles of elementary school teacher to know and to practice her teaching mathematical patterns. Autobiographies of teachers can be used as good sources for reflection of teachers, and also as a method for teachers education. And then, for communicating with teaching strategies among teachers in communities, they can be used. One the other hand, autobiographies of teachers can be powerful materials for researches on teaching.

• Proceedings of the Korean Society of Broadcast Engineers Conference
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• 2015.07a
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• pp.135-136
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• 2015

컴퓨터 생성 홀로그램(CGH: computer generated hologram) 기법은 기존의 광학계 장치와 변수들을 수학적으로 모델링하여 일반 범용 컴퓨터(PC: personal computer)로도 디지털 홀로그램을 생성할 수 있는 기술이다. 이 기술은 디지털 홀로그램의 해상도와 3D 물체의 광원 수에 따라 알고리즘의 연산량이 좌우되기 때문에, 실용적인 사용을 위해서 알고리즘의 연산량을 낮추거나 하드웨어의 연산 속도를 높이는 연구가 필수적이다. 본 논문에서는 초다광원 3D 물체의 디지털 홀로그램을 고속으로 생성할 수 있는 방법을 제안한다. 제안하는 방법은 한 개의 서버 PC와 다수의 클라이언트 PC들로 구성되어 있으며, 이들은 일반적으로 사용되는 범용 GPU (graphic processing unit)가 장착되어 있다. 서버에서 3D 물체의 광원을 스캔하여 데이터화 하고, 클라이언트 PC들의 연산 능력에 따라 광원 데이터를 분할하여 클라이언트들에게 각각 전송한다. 각각의 클라이언트들은 전송받은 데이터를 이용해 다중 GPU 기반의 CGH 연산을 수행하여 간섭 패턴들을 생성하고, 생성된 패턴들은 다시 서버 PC로 재전송된다. 서버 PC로 재전송 된 패턴들이 하나로 누적되면 디지털 홀로그램이 생성된다. 본 실험에서, 기존의 방법으로는 139,655개의 광원에 대해 $1,024{\times}1,024$ 해상도의 홀로그램을 생성하는데 약 2,250 ms가 걸린 반면, 제안하는 방법은 약 478 ms의 속도로 생성할 수 있음을 확인하였다.

• Proceedings of the Korean Institute of Industrial Safety Conference
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• 2001.11a
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• pp.25-30
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• 2001

엔진이나 콤프레셔 등과 같은 기기 진동의 동특성은 불규칙적으로 변동하는 성분을 갖는 랜덤 프로세스로 그것을 수학적으로 명확히 기술하는 것은 어렵다/sup 1)/. 하지만 통계학적인 입장에서 시계열 데이터를 보면 시계열 데이터가 확률변수로서 각각의 모집단에 속한다. 따라서 이 점에 주목하여 시계열의 확률적인 특징을 추출하는 것으로, 각각의 시계열 데이터를 확률공간으로 구별하는 것이 가능하다면 시계열 데이터에 의해 표현되어진 상태의 식별가능하다는 이론이 성립된다/sup 2)/.(중략)

• Proceedings of the Korean Society of Computer Information Conference
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• 2022.01a
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• pp.387-388
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• 2022

기계학습은 문제가 복잡하여 수학적으로 정의를 하는 것이 어려울 때 유용하게 쓸 수 있는 방법으로 최근 패턴 또는 영상을 인식하기 위하여 급속도록 많이 사용되고 있다. 본 논문에서는 기존의 학습 모델과는 다르게 인간의 시각정보처리과정 중 망막의 특성과 시각피질의 특성을 고려한 모델을 제시하여 학습의 첫 단계인 원시 데이터를 가공하는 과정을 개선함으로써 좀 더 효율적인 인식모델을 제안하고자 한다.

• Journal of Educational Research in Mathematics
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• v.19 no.4
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• pp.565-584
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• 2009

This study is aimed at providing the theoretical framework of characteristics of mathematical thinking processes and structuring the thinking process patterns of the mathematical gifted students through the analysis of their cognitive thinking processes. For this purpose, this study is trying to analyze characteristics of mathematical thinking processes of the mathematical gifted students in an objective and a systematic way, by using think-aloud method. For comparative study, the analysis framework with the use of the thinking characteristic code as a content-oriented method and the problem-solving processes code as a process-oriented method was developed, and the differences of thinking characteristics between the two groups chosen by the coding system which represented the subjects' thinking processes in the form of the language protocol through thinking-aloud method were compared and analyzed.