• Title/Summary/Keyword: 수학교육과 교육과정

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A Case Study about Influence of Primary Mathematic Concepts on the Composition of Mathematic Concepts in 3rd grade Prodigies of Elementary Schools - Focusing on Addition and Multiplication of Fractions - (수학의 1차적 개념이 초등학교 3학년 영재아의 수학적 개념구성과정에 미치는 영향에 대한 사례연구 - 분수의 덧셈과 곱셈을 중심으로 -)

  • Kim, Hwa Soo
    • Journal of Gifted/Talented Education
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    • v.24 no.1
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    • pp.17-43
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    • 2014
  • On the subjects of elementary 3rd grade three child prodigies who had learned the four fundamental arithmetic operations and primary concepts of fraction, this study conducted a qualitative case research to examine how they composed schema of addition and multiplication of fractions and transformed schema through recognition of precise concepts and linking of concepts with addition and multiplication of fractions as the contents. That is to say, this study investigates what schema and transformed schema child prodigies form through composition of primary mathematic concepts to succeed in relational understanding of addition and multiplication of fractions, how they use their own formed schema and transformed schema for themselves to approach solutions to problems with addition and multiplication of fractions, and how the subjects' concept formation and schema in their problem solving competence proceed to carry out transformations. As a result, we can tell that precise recognition of primary concepts, schema, and transformed schema work as crucial factors when addition of fractions is associated with multiplication of fractions, and then that the schema and transformed schema that result from the connection among primary mathematic concepts and the precise recognition of the primary concepts play more important roles than any other factors in creative problem solving with respect to addition and multiplication of fractions.

IA Relation between Social Status Type and Academic Achievement in the Upper Grade Students of the Elementary School (초등학교 고학년 학생의 사회적지위 유형과 학업성취도간의 관계)

  • Ahn, Ie-Hwan;Lee, Chang-Wo
    • The Korean Journal of Elementary Counseling
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    • v.11 no.1
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    • pp.21-33
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    • 2012
  • This study examined the differences of academic achievement by social status types through sociometry. This study analyzed 201 students in grade 6 in S elementary school. The social status is classified by 7 (popular, average, rejected, aggressive-rejected, submissive-rejected, neglected, controversial) with academic achievement of each type as dependent variables to figure out the relation between social status types and academic achievement. To classify 5 social status types, a sociometry program developed by Ahn, Ie-Hwan (2007) was used, 2 social status types was classified with experimental condition, and its dependent variable was the score by subjects in the mid-term exam of the 1st semester in 2011. The average values of humanities courses (Korean and social studies) and natural science courses (math and science) were compared by both sexes and 7 social status types. The reference group was average group. As a result, as to male students, N type had the highest score both in humanities courses and natural science courses while C type had the lowest score in both groups. As to female students, P, N, C types had the highest score in both groups with similar range while R type had the lowest score in both groups. This result demonstrates that the academic achievement of students had relatively high relevance with social status. and also, suggestion that how teachers can do to enhance the academic achievement of elementary school students.

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Analyzing Studies on Teacher Professional Vision: A Literature Review ('수업을 보는 눈'으로서 교사의 전문적 시각에 대한 기존 연구의 특징과 쟁점 분석)

  • Yoon, Hye-Gyoung;Park, Jisun;Song, Youngjin;Kim, Mijung;Joung, Yong Jae
    • Journal of The Korean Association For Science Education
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    • v.38 no.6
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    • pp.765-780
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    • 2018
  • The purpose of this study is to synthesize the theoretical perspectives, research methods, and research results of teachers' professional vision by reviewing and analyzing previous research papers and to suggest implications for science teacher education and research. Three databases were used to search peer reviewed journal articles published between 1997-2017, which include 'teachers' and 'professional vision' explicitly in abstracts and empirical studies only. 21 articles in total were analyzed and review results are as follows. First, researchers regarded professional vision as a new concept of teacher professionalism. Previous research viewed professional vision as integrated structure of teachers' knowledge or ability activated at specific moment. Second, the analytical framework of professional vision included two aspects; 'selective attention' and 'reasoning'. Several aspects of lessons or the desirable teaching and learning factors are suggested as the subcategories of selective attention. Hierarchical levels or independent reasoning ability factors are suggested as the subcategories of reasoning process. Third, research on teachers' professional vision focused more on middle school teachers than elementary teachers and on various subject areas. Most studies used video clips and more cases of using videos of non-participants were found. In case of measurement of professional vision, most quantitative scoring methods were whether the responses of experts and teachers on video clips were consistent. Last, most studies examined or assessed teachers' professional vision. It is reported that in-service teachers' professional vision was evaluated higher than novice teachers' and using video clips were effective to examine and improve teachers' professional vision.

수학적 모폴로지의 경계치 변화에 의한 도시환경 지형지물 추출 및 분리응용

  • O, Se-Gyeong;Lee, Gi-Won
    • 한국공간정보시스템학회:학술대회논문집
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    • 2004.12a
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    • pp.139-143
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    • 2004
  • 최근 고 해상도 위성영상정보의 민간 활용에 대한 수요가 증가하면서 기존의 공간 정보를 다루는 여러 응용분야에서 이에 관련된 많은 연구를 하고 있다. 도시교통 환경 분석을 위하여 위성영상정보를 처리하는 과정에 있어서 도로, 건물, 기타 선 구조와 같은 지형지물을 분석하는 과정은 사용자에 따라 주관적일 수 있다. 이러한 배경에서 수학적 그레이 레벨 모폴로지는 하나의 효과적인 접근으로 간주된다. 본 연구에서 지형지물 추출을 위해 윈도우 운영체제에서 실행되는 실질적인 응용 프로그램을 구현하였다. 이 프로그램에서 주요한 지형지물은 그레이 레벨 영상을 이용하여 개방(opening), 폐쇄(closing), 침식(erosion), 팽창(dilation)의 순차적 처리를 통하여 자동적으로 추출된다. 결과적으로, GDPA, 허프 변환 또는 다른 알고리듬들과 비교시 하나의 이점이 된다. 모폴로지 처리와 같이 본 프로그램은 그레이 레벨 값의 범위에 기반하여 지형지물을 추출을 위한 density slicing 기능 또는 주어진 경계치 보다 작은 화소 군집을 제거하는 처리인 'sieve filtering'을 제공한다. 이러한 기능들은 형태학적으로 처리된 결과를 증대하고 지형지물 종류들을 분리하는데 유용하다. 또한 배경의 제거, 잡음 탐지, 도시 환경 원격 탐사에서의 지형지물 특성화에 기여한다. 본 프로그램을 이용하는데 있어서 IKONOS 위성영상을 이용하여 시험 구현하였다. 결과, 다중 경계치 또는 steve filtering을 이용한 그레이 레벨 모폴로지 처리는 복잡한 지형지물과 많은 데이터로 구성된 고해상도 영상 내의 주어진 대상에서 자동적인 처리와 사용자 정의 sieve filtering으로 인한 효과적인 지형지물 추출 방법으로 간주 된다. 시안을 작성 표준화를 위한 첫 단계 시도를 소개하였다.분석 결과는 문장, 그림 및 도표, 장 끝의 질문, 학생의 학습 활동 수 등이 $0.4{\sim}1.5$ 사이의 값으로 학생 참여를 적절히 유도하는 발견 지향적 인 것으로 조사되었다. 그러나 장의 요약은 본문 내용을 반복하는 내용으로 구성되었다. 이와 같이 공통과학 과목은 새로운 현대 사회에 부응하는 교과 목표와 체계를 지향하고 있지만 아직도 통합과학으로서의 내용과 체계를 완전히 갖추고 있지 못할 뿐만 아니라 현재 사용되고 있는 7종의 교과서가 교육 목표를 충분히 반영하지 못하고 있다. 따라서 교사의 역할이 더욱더 중요하게 되었다.괴리가 작아진다. 이 결과에 따르면 위탁증거금의 징수는 그 제도의 취지에 부합되고 있다. 다만 제도운용상의 이유이거나 혹은 우리나라 주식시장의 투자자들이 비합리적인 투자형태를 보임에 따라 그 정책적 효과는 때로 역기능적인 결과로 초래하였다. 그럼에도 불구하고 이 연구결과를 통하여 최소한 주식시장(株式市場)에서 위탁증거금제도는 그 제도적 의의가 여전히 있다는 사실이 확인되었다. 또한 우리나라 주식시장에서 통상 과열투기 행위가 빈번히 일어나 주식시장을 교란시킴으로써 건전한 투자풍토조성에 저해된다는 저간의 우려가 매우 커왔으나 표본 기간동안에 대하여 실증분석을 한 결과 주식시장 전체적으로 볼 때 주가변동율(株價變動率), 특히 초과주가변동율(超過株價變動率)에 미치는 영향이 그다지 심각한 정도는 아니었으며 오히려 우리나라의 주식시장은 미국시장에 비해 주가가 비교적 안정적인 수준을 유지해 왔다고 볼 수 있다.36.4%)와 외식을 선호(29.1%)${\lrcorner}$ 하기 때문에 패스트푸드를 이용하게 된 것으로 응답 하였으며,

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Calculation of optimal design flood using cost-benefit analysis with uncertainty (불확실성이 고려된 비용-편익분석 기법을 도입한 최적설계홍수량 산정)

  • Kim, Sang Ug;Choi, Kwang Bae
    • Journal of Korea Water Resources Association
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    • v.55 no.6
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    • pp.405-419
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    • 2022
  • Flood frequency analysis commonly used to design the hydraulic structures to minimize flood damage includes uncertainty. Therefore, the most appropriate design flood within a uncertainty should be selected in the final stage of a hydraulic structure, but related studies were rarely carried out. The total expected cost function introduced into the flood frequency analysis is a new approach for determining the optimal design flood. This procedure has been used as UNCODE (UNcertainty COmpliant DEsign), but the application has not yet been introduced in South Korea. This study introduced the mathematical procedure of UNCODE and calculated the optimal design flood using the annual maximum inflow of hydroelectric dams located in the Bukhan River system and results were compared with that of the existing flood frequency. The parameter uncertainty was considered in the total expected cost function using the Gumbel and the GEV distribution, and the Metropolis-Hastings algorithm was used to sample the parameters. In this study, cost function and damage function were assumed to be a first-order linear function. It was found that the medians of the optimal design flood for 4 Hydroelectric dams, 2 probability distributions, and 2 return periods were calculated to be somewhat larger than the design flood by the existing flood frequency analysis. In the future, it is needed to develop the practical approximated procedure to UNCODE.

An Analysis on the Error Types of Elementary Students and Pre-service Teachers in Mixed Calculations of Natural Number (자연수의 혼합계산에 대한 초등학생들과 예비교사들의 오류 분석)

  • Lee, Daehyun
    • Journal of the Korean School Mathematics Society
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    • v.20 no.2
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    • pp.141-161
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    • 2017
  • As it's important to understand the order of operation in the mixed calculation of natural number and perform it, mathematics curriculums and textbooks focused that students can calculate with understanding the order of operation and its principles. For attaining the implications of teaching about the mixed calculations, this study analyzed the problem solving abilities and error types of 67 elementary students and 57 pre-service teachers using questionnaire which was developed in this study and composed of numeric expressions and word problems. The conclusions drawn from this study were as follows: Students were revealed the correct rates(86.2% and 73.5%) in numeric expressions and word problems, but they were showed the paradigmatic error types-the errors of the order of operation and the composition of numeric expression from word problems. Even though the correct rates of the preservice teachers were extremely high, the result of problem solving processes required that it's needed to be interested in teaching the principles of the order of operation in the mixed calculations. In addition, subjects were revealed the problems about using parentheses and equal sign.

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Effect of the Integrated STEM Project Learning Themed 'Lighting of Quantum Dot Solution' on Science High-School Small-Group Students' Problem Solving and Scientific Attitude ('양자점 용액의 발광'을 주제로 한 융합형 STEM 프로젝트 학습이 과학고등학교 소집단 학생들의 문제해결력과 과학적 태도에 미치는 효과)

  • Yi, Seung-Woo;Kim, Youngmin
    • New Physics: Sae Mulli
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    • v.68 no.12
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    • pp.1356-1363
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    • 2018
  • The purpose of this study was to investigate science high-school students' creativity and scientific attitude when an integrated science, technology, engineering and mathematics (STEM) project themed 'lighting of quantum dot solution' was applied to them. The subjects were a one team composed of 3 students in the 11th grade desiring to participate in the Korea Science Exhibition. They began with a scientific inquiry related to the physical properties of the QD solution and then gradually showed the process of expansion of their ideas into the integration of engineering, technology, and mathematics. Also, during the process, they showed problem solving ability and scientific attitudes, such as cooperation, endurance, and satisfaction of accomplishment.

Extracting characteristics of underachievers learning using artificial intelligence and researching a prediction model (인공지능을 이용한 학습부진 특성 추출 및 예측 모델 연구)

  • Yang, Ja-Young;Moon, Kyong-Hi;Park, Seong-Ho
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.26 no.4
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    • pp.510-518
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    • 2022
  • The diagnostic evaluation conducted at the national level is very important to detect underachievers in school early. This study used an artificial intelligence method to find the characteristics of underachievers that affect learning development for middle school students. In this study an artificial intelligence model was constructed and analyzed to determine whether the Busan Education Longitudinal Data in 2020 by entering data from the first year of middle school in 2019. A predictive model was developed to predict basic middle school Korean, English, and mathematics education with machine learning algorithms, and it was confirmed that the accuracy was 78%, 82%, and 83%, respectively, in the prediction for the next school year. In addition, by drawing an achievement prediction decision tree for each middle school subject we are analyzing the process of prediction. Finally, we examined what characteristics affect achievement prediction.

A Study on the Definition of a Circumcenter and an Incenter of Triangle (삼각형의 외심, 내심의 정의에 관한 고찰)

  • Jun, Young-Bae;Kang, Jeong-Gi;Roh, Eun-Hwan
    • Journal of the Korean School Mathematics Society
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    • v.14 no.3
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    • pp.355-375
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    • 2011
  • This paper was designed for the purpose of helping the functional comprehension on the concept of a circumcenter and an incenter of triangle and offering the help for teaching-learning process on their definitions. We analysed the characteristic of the definition on a circumcenter and an incenter of triangle and studied the context, mean and purpose on the definition. The definition focusing on the construction is the definition stressed on the consistency of the concept through the fact that it is possible to draw figure of the concept. And this definition is the thing that consider the extend of the concept from triangle to polygon. Meanwhile this definition can be confused because the concept is not connected with the terminology. The definition focusing on the meaning is easy to memorize the concept because the concept is connected with the terminology but is difficult to search for the concept truth. And this definition is the thing that has the grounds on the occurrence but is taught in a made-knowledge. The definition focusing on both the construction and meaning is the definition that the starting point is vague in the logical proof process. We hope that the results are used to improve the understanding the concept of a circumcenter and an incenter of triangle in the field of mathematical education.

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An Analysis on the Elementary Students' Problem Solving about Equal Sharing Problem and Fraction Order (균등 분배 문제와 분수의 크기 비교에 대한 초등학생들의 문제해결 분석)

  • Lee, Daehyun
    • Journal of the Korean School Mathematics Society
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    • v.21 no.4
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    • pp.303-326
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    • 2018
  • Fraction has difficulties in learning because of the diversity of meanings, the ways of presenting contents and teaching methods in elementary school mathematics. Therefore, the various strategies of teaching of fraction concept is proposed as an alternative. The problem of equal sharing problem is that children can experience the concept of fractions naturally in the context of everyday distribution. Even before learning formal fractions, children can solve them in various ways based on their own experiences. The purpose of this study is to investigate the degree of problem solving and problem solving strategies for children in 2nd, 4th, and 6th grades in elementary school. As a result of the research, the percentage of correct answers increased as the grade increased, but the grade levels showed a difference depending on the numbers given to the problems. Also, there were differences in the problem solving strategies according to the grade levels. Also, according to the numbers presented in the problem, the percentage of correct answers was high in items that were easy to divide, and the percentage of correct answers was low in items that were difficult to divide. When children solved the problems, they were affected by the strategies they could use immediately according to the number presented in the problem, and their learning experiences were also affected.