• Title/Summary/Keyword: 수학적 형태학

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The Edge Detection of Image using the quantization FCNN with the variable template (가변 템플릿의 양자화 FCNN을 이용한 영상 에지 검출)

  • Choi, Seon-Kon;Byun, Oh-Sung;Lee, Cheul-Hee;Moon, Sung-Ryong
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.35S no.11
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    • pp.144-151
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    • 1998
  • In this paper, it is applied the analysis properties of mathematical morphology in order to process MIN/MAX operation on the basis of combination of predefined and weighted structuring element to FCNN having the structure of CNN combined with fuzzy logic between template and input/output. In this paper, as the fuzzy estimator is applied to the image including noise, thus it could be found the noise removal as well as the edge detection in the process of computer simulation. We could analyze and compare the results of edge detection using FCNN, CNN and median filter to which the erosion operation of morphology is applied. This paper could apply the static template and the variable template to FCNN using the quantization fuzzy function, in result we could confirm that the performance of FCNN got to improve in the process of computer simulation.

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A qualitative case study about mathematics pre-service teachers' motivation, ways of dealing with university mathematics knowledge and tutoring experiences (중등 수학 예비교사의 진학동기, 수학 전공공부 및 과외 경험에 관한 질적 사례 연구)

  • Jun, Youngcook
    • Journal of Educational Research in Mathematics
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    • v.23 no.2
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    • pp.269-284
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    • 2013
  • The aim of this paper is to explore and understand, using in-depth interviews, the participant's motivation for becoming a math teacher, ways of dealing with university math knowledge and private tutoring experiences. In addition a larger aim is to understand how the individual's interest in mathematics and turing are linked to his/her larger personal tendencies contrasting secondary and university math learning. In-depth interviews were conducted with 6 pre-service teachers' subjective experiences focusing on motivation and feelings on mathematical knowledge and private tutoring. The output of this research consists of 3 cases, highlighting and conceptually developing the specific aspects under study; different ways in which individuals' involvement with the math learning and tutoring that might be connected with the ways of becoming teachers. Larger aspects of pre-service teachers' subjective experiences were sketched by contrasting the inner aspects of the individuals. Several suggestions were presented at the end with the possible research directions for math education.

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A Study about Confidence with Mathematics (수학에 대한 자신감에 관한 연구)

  • Park, Ji Hyun;Kim, Yun Min;Choi, Seong Hyun
    • Journal of Educational Research in Mathematics
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    • v.24 no.2
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    • pp.145-164
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    • 2014
  • The aim of this study is exploring the confidence in Mathematics. First, we investigated the relationships among self-concept, self-efficacy, and confidence. In addition we analyzed confidence with Mathematics of Korean students based on the TIMSS 2003, 2007, 2011 data. This study was to clarify the relationship between the three concepts by using preceding studies and TIMSS/PISA questionnaire. Self concept and self-efficacy as compared with confidence is a little more subject oriented belif about personal learning ability. Compared to elementary school students, secondary school students' confidence is lower. And, this study also found that, there are six factors that effect the Korean students' confidence with mathematics. In particular, the individual study process of evaluation is more effective than classes evaluated.

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Mathematical models for population changes of two interacting species (상호작용하는 두 생물 종의 개체 수 변화에 대한 수학적 모델)

  • Shim, Seong-A
    • Journal for History of Mathematics
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    • v.25 no.1
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    • pp.45-56
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    • 2012
  • Mathematical biology has been recognized its importance recently and widely studied in the fields of mathematics, biology, medical sciences, and immunology. Mathematical ecology is an academic field that studies how populations of biological species change as times flows at specific locations in their habitats. It was the earliest form of the research field of mathematical biology and has been providing its basis. This article deals with various form of interactions between two biological species in a common habitat. Mathematical models of predator-prey type, competitive type, and simbiotic type are investigated.

Progressive Analysis of Private Education Expenses for Mathematics Subjects of Elementary School Students (초등학생의 수학 교과 사교육비에 대한 추이적 분석)

  • Kim, Somin;Lee, Jong-hak
    • Journal of the Korean School Mathematics Society
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    • v.24 no.3
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    • pp.243-259
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    • 2021
  • This study examines trends by school level, region, subject, and type centered on elementary schools when private education is perceived as a social problem due to the overheating of private education and its over-dependence. This study aims to provide a direction to ease the school mathematics education and meet the expectations of school mathematics education. As a result of this study, in mathematics subjects, the graph of private education expenses for mathematics subjects was not affected by the period and showed a somewhat consistent linear trend. In other words, we found that the private education cost of the mathematics subject was solid compared to other factors, and was not significantly affected by external variables, and was consistent. It is meaningful to examine the trends of private education costs in mathematics subjects with a comparison between the past and present and to grasp what factors and how they have changed and developed.

A Study on Teacher's Pre-Noticing and Actual Noticing in Mathematics Classroom (교사의 사전 주목하기와 수학수업에서 실제 주목하기에 대한 연구)

  • Lee, Eun Jung;Lee, Kyeong-Hwa
    • School Mathematics
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    • v.18 no.4
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    • pp.773-791
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    • 2016
  • Teacher noticing ability has been considered as one of important elements influencing a quality of teaching. Noticing is closely related to teachers' in the moment decision making in a class, and teachers notice things as they create and interact with their classroom setting. Mathematics teachers as an expert should notice students' mathematics learning during a class. The aim of this study was to analyze how mathematics teacher's pre-noticing activity that the teacher anticipated students' typical strategies and difficulties in learning targeted mathematics knowledge and prepared appropriate responses worked in practice. As a result, the teacher conducted three types of noticing in her classes: noticing shaping students' understanding by using students' misconceptions or errors; noticing creating students' learning opportunities based on their prior knowledge; noticing improving students' informal reasoning. This study concluded with discussion about the positive effect of teacher's pre-noticing activity on her actual noticing in practice, as well as implications for teacher education.

Color image segmentation using clustering based on mathematical morphology (수학적 형태학에 기반한 클러스터링을 이용한 칼라영상의 영역화)

  • 박상호;윤일동;이상욱
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.8
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    • pp.68-80
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    • 1996
  • In this paper, we propose a novel color image segmentation algorithm based on clustering in 3-dimensional color space employing the mathematical morphology. More specifically, since we take into account the topological properties such as the shape, connectivity and distribution of clusters in the clustering process, the number of clusters in the color cube, as well as their centers, can be easily obtained, without a priori knowledge on the input images. Intensive computer simulation has been performed and the results are discussed in this paper. The resutls of the simulation on the images in various color coordinates show that the segmentation is independent of the choice of color coordinates and the shape of clustes. Segmentation results of the vector quantizer are also presented for the comparison purpose.

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The Development of a Math-Friendly Activity Program for the Alleviation of Mathematics Anxiety (수학불안 감소를 위한 수학 친화적 활동 프로그램 개발)

  • Yoon, Rak-Kyeong;Jeon, In-Ho
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.3
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    • pp.583-613
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    • 2010
  • Mathematics anxiety is likely to be a drag on mathematics learning if that is left alone, and it is important to grasp the cause of mathematics anxiety and devise how to get rid of it. The purpose of this study was to examine the cause of mathematics anxiety among elementary school children, to develop a math-friendly activity program geared toward easing mathematics anxiety and to check the effect of the developed program on the alleviation of mathematics anxiety. The subjects in this study were 32 students in a fourth-grade class in I elementary school located in Dongdaemoon-gu, Seoul. A math-friendly activity program was designed to alleviate the mathematics anxiety of the five subfactors-test anxiety, time constraints, comprehension, learning motivation and parent attitude-on which the students scored higher than their pretest collective averages. The mathematics anxiety pretest data, the objectives and content system of the current 7th national mathematics curriculum and the mathematics textbooks for 4-A and 4-B were analyzed to develop the math-friendly activity program that consisted of psychological remedy (positive thinking training) and non-psychological remedy (mathematics activities). After the program was implemented, we analyze the pretest and posttest mathematics anxiety data to determine the effect of the program. As a result, the collective averages of every student on math anxiety and its subfactors were lower in the posttest than in the pretest.

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A Study on the Comparison of Classes Conducted by Modified Moore Method (변형 Moore 교수법을 적용한 수업 비교연구)

  • Kim, Seong-A
    • Communications of Mathematical Education
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    • v.24 no.4
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    • pp.865-876
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    • 2010
  • We have examined the modified Moore methods that were applied to college mathematics courses in several researches. We introduce, compare and analyze the concrete teaching methods that the researchers conducted in various modified Moore methods, and propose the appropriate form of modified Moore method most suitable for the present situations of the mathematics and related departments in Korea.

South Korean Elementary Teachers' Perception about Students' Mathematics Listening Ability (수학 청해력 유형에 관한 초등학교 교사의 인식 조사 연구)

  • Kim, Rina
    • Education of Primary School Mathematics
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    • v.25 no.4
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    • pp.343-360
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    • 2022
  • In mathematics classes, the verbal explanation may contain diverse mathematical concepts and principles in short sentences. It may also include mathematics symbols and terms that might not be used in everyday life. Therefore, students may need particular listening ability in order to understand and participate in mathematics communication. Unlike general listening, the listening ability for mathematics classes may require student to integrate their mathematical and linguistic knowledge. The aim of this study is to reveal the subdomains of listening ability for mathematics classes in a elementary school. I categorized listening ability for mathematics classes in a elementary school from the literature. The categories of listening ability for mathematics are Interpretive Listening, Evaluative Listening, Hermeneutic Listening, Selective Listening, Pretend Listening, and Ignored Listening. In order to develop a framework for understanding listening ability for mathematics classes, I investigated a hierarchy of 412 South Korean elementary teachers' perception. Through a web-based survey, the teachers were asked to rank order their beliefs about and students' listening ability. Findings show that teachers' perceptions about listening ability for mathematics classes are divergent from current research trends. South Korean elementary teachers perceived Interpretive Listening as the most important listening.