• Title/Summary/Keyword: Mathematical Analysis

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수치해석을 이용한 윤중제 흐름특성해석 적용성 (Applying the Polder Levee of the Stream Specific by Using Hydordynamic Model)

  • 최한규;김장욱;백효선
    • 산업기술연구
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    • 제28권B호
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    • pp.193-198
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    • 2008
  • When the existing polder levee was constructed, the river's numerical analysis decided the bank raise by applying the planned flood stage or by using the result from the sectional 1st dimensional numerical analysis. But, it was presented that there is a limitation in the 1st dimensional value analysis when the structure like the polder levee obstructs the special shaped running water flow. Therefore, in order to verify the numerical value applicability when the polder levee is constructed, this report compared each other through the 1st and 2nd dimensional numerical analysis and the mathematical principle model laboratory. In case of the polder levee construction through the numerical analysis and the mathematical principle model laboratory, it was decided that there was no big problem in the 1st dimensional numerical analysis applied design, considering the uncertainty of mathematical principle analysis though the first dimensional numerical analysis was calculated a little bigger than the second. But, after construction, it was found that the water level deviation of the 1st, 2nd occurred biggest at the place where the flow was divided into two. Also, as a result of comparing the 1st, 2nd dimensional numerical analysis with the mathematical principle model laboratory, it was confirmed that the 1st numerical analysis applied design decreased the modal safety largely, as the left side water level was calculated smaller more than 0.5m in case of the 1st dimensional numerical analysis.

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초등학교 6학년 학생들의 수학적 정당화의 필요성에 대한 인식과 수학적 정당화 수준 (6th grade students' awareness of why they need mathematical justification and their levels of mathematical justification)

  • 김희진;김성경;권종겸
    • 한국수학교육학회지시리즈A:수학교육
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    • 제53권4호
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    • pp.525-539
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    • 2014
  • In this study, we suggest implications for teaching mathematical justification with analysis of 6th grade students' awareness of why they needed mathematical justification and their levels of mathematics justification in Algebra and Geometry. Also how their levels of mathematical justification were related to mathematic achievement. 96% of students thought mathematical justification was needed, the reasons were limited for checking their solutions and answers. The level of mathematical justification in Algebra was higher than in Geometry. Students who had higher mathematic achievement had higher levels of mathematical justification. In conclusion, we searched the possibility of teaching mathematical justification to students, and we found some practical methods for teaching.

Assessment of Mathematical Creativity in Mathematical Modeling

  • Jang, Hong-Shick
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제15권2호
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    • pp.181-196
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    • 2011
  • In mathematical modeling tasks, where students are exposed to model-eliciting for real and open problems, students are supposed to formulate and use a variety of mathematical skills and tools at hand to achieve feasible and meaningful solutions using appropriate problem solving strategies. In contrast to problem solving activities in conventional math classes, math modeling tasks call for varieties of mathematical ability including mathematical creativity. Mathematical creativity encompasses complex and compound traits. Many researchers suggest the exhaustive list of criterions of mathematical creativity. With regard to the research considering the possibility of enhancing creativity via math modeling instruction, a quantitative scheme to scale and calibrate the creativity was investigated and the assessment of math modeling activity was suggested for practical purposes.

수학적 문제해결역량을 위한 평가 문항의 조건과 그 실제 (Analysis of Mathematical Problem Based on Mathematical Problem Solving Competency)

  • 이선영;이지수;한선영
    • 한국수학교육학회지시리즈A:수학교육
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    • 제57권2호
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    • pp.111-136
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    • 2018
  • This study suggests a framework for analyzing items based on the characteristics, and shows the relationship among the characteristics, difficulty, percentage of correct answers, academic achievement and the actual mathematical problem solving competency. Three mathematics educators' classification of 30 items of Mathematics 'Ga' type, on 2017 College Scholastic Ability Test, and the responses given by 148 high school students on the survey examining mathematical problem solving competency were statistically analyzed. The results show that there are only few items satisfying the characteristics for mathematical problem solving competency, and students feel ill-defined and non-routine items difficult, but in actual percentage of correct answers, routineness alone has an effect. For the items satisfying the characteristics, low-achieving group has difficulty in understanding problem, and low and intermediate-achieving group have difficulty in mathematical modelling. The findings can suggest criteria for mathematics teachers to use when developing mathematics questions evaluating problem solving competency.

조선시대 산법서류의 서지적 분석 (A bibliographical study on the mathematical materials that were published during Yi-Dynasty)

  • 이노국
    • 한국도서관정보학회지
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    • 제21권
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    • pp.431-457
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    • 1994
  • The aim of this thesis is to attempt a bibliographical analysis of mathematical materials that were published during Yi-Dynasty. In this study, matters that were treated concretely are the same as follows: 1. Formulation of a system about mathematical materials that were published from Three Kingdoms to Yi-Dynasty. 2. Background of each period about compilation and publication of mathematical materials. 3. Investigation to transition, block book and domain of subject of mathematical materials through analysis on each period of publication. But it was not easy to contrast materials on each catalogue with existed books one by one. In further, we must a new chance for better a n.0, ppreciation about Yi-Dynasty's mathematical materials through continuous studies to this field.

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Concept Map을 통한 수학 문제의 구조 분석 연구 (Analysis Study of Mathematical Problem Structure through Concept Map)

  • 서보억
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제32권1호
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    • pp.37-57
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    • 2018
  • 수학교육에서 Concept Map(개념그림)을 활용하기 시작한 초기에는 Concept Map이라는 그림 안에 수학적 아이디어를 어떻게 표상할 수 있느냐에 초점이 맞추어져 있었다. 하지만, 최근 연구에 따르면 Concept Map이 문제해결력과 밀접한 관련이 있다. 구체적으로 Concept Map은 학생들 사이의 협력적 문제해결의 도구, 문제를 탐구하기 위한 도구, 문제의 구조를 소개하기 위한 도구, 지식의 체계를 개발하고 체계화하는 도구 등으로 사용될 수 있다. 이에 본 연구에서는 Concept Map에 대한 선행연구 분석을 기반으로 Concept Map을 활용한 수학 문제의 구조 분석에 집중하였다. 그 결과 수학 문제 구조 분석을 위한 Concept Map의 활용 방법을 개발하였고, 개발된 자료를 적용하여 실제 수학 문제 분석에 적용함으로써 그 실현 가능성을 확인하였다. 본 연구 결과를 통해 수학 문제 구조의 파악, 수학과 교육과정 및 교과서와 일관성 있는 문제의 개발, 수학 문제의 난이도 분석 등에 효과적으로 활용될 것으로 기대된다.

Analysis of Mathematics Ability Structure in Chinese Mathematical Gifted Student

  • Li Mingzhen;Pang Kun
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제9권4호
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    • pp.329-333
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    • 2005
  • Based on author's practice of instructing Chinese gifted students to join the Chinese Mathematics Olympic (CMO), the paper adopted test analysis model of the Scholastic Aptitude Test of Mathematics (SAT-M), tested mathematics ability of 212 mathematical gifted students to join the CMO, applied correlation analysis and factor analysis and proposed the mathematics ability structure in Chinese gifted students including comprehensive operation ability, logic thinking ability, abstract generalization ability, spatial imagination ability, memory ability, transfer ability and intuition thinking ability. And it analyzed the expression form of these abilities respectively and gave some suggestion on mathematics teaching about gifted Chinese students.

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오행기질(五行氣質)의 불균형적(不均衡的) 구조(構造)에 근거(根據)한 체질론(體質論)의 수리학적(數理學的) 분석(分析) (Mathematical Analysis of Constitutional Theory Based on Imbalanced Structure of Five Energy Elements)

  • 허경구;박광석
    • 대한한의학회지
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    • 제33권3호
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    • pp.105-119
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    • 2012
  • Background: In contrast to the increased interest in constitutional medicine evidenced by clinical experiences, there has been no theoretical or mathematical analysis on the stability or number of constitutional types. Objectives: The purpose of the study was to evaluate the stability of possible constitutional types and to find stable constitutional types based on imbalanced structure of five energy elements using mathematical analysis. Methods: For the 120 constitutional types which are possible by the imbalanced combination of five energy elements, vitality, stability and continuity were evaluated mathematically based on mutual activation and suppression between the five energy elements. Results: 10 constitutional types were derived. They had the highest vitality and stability, and they had permanent continuity, never changing their order of imbalanced structure. Conclusions: 10 constitutional types are logical and most reasonable when we classify the body types based on imbalanced structure of five energy elements.

벽지의 수학적 분류 방법의 개선 및 활용 (An Improvement of Mathematical Classification Method of Wallpapers and Its Application)

  • 신현용;한인기;나준영
    • East Asian mathematical journal
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    • 제33권2호
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    • pp.123-147
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    • 2017
  • This paper discusses and searches for mathematical analysis and efficient algorithm for types of wallpapers. We study some previous classification methods, develop a systematic process, and present some examples of determining types of wallpaper through our algorithm. Through this approach, we expect to introduce a mathematical perspective on relation between real life and mathematics.

수학적 문제해결 지도에서 교사의 역할에 대한 분석 (An Analysis on Teachers′ Role in Teaching Mathematical Problem Solving)

  • 전평국;정인수
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제7권1호
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    • pp.1-14
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    • 2003
  • The purpose of this research is to explore teachers' role actions in teaching mathematical problem solving and to analyze the influences of the teachers'role actions on their students' activities and beliefs about problem solving. The results obtained in this study suggested that the teachers' role actions brought qualitative differences to students' activities, and students' beliefs about mathematical problem solving were consistent with the perspective held by their teachers. Therefore, teachers should help students build up desirable beliefs about problem solving. They should understand teaching mathematical problem solving and play proper roles in various situations of teaching mathematical problem solving.

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