• 제목/요약/키워드: Mathematical tendency

검색결과 120건 처리시간 0.023초

공작기계 시스템의 모델링과 동적 특성 분석 (Modelling and dynamic analysis of electro-mechanical system in machine tools)

  • 박용환;신흥철;문희성;최종률
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1995년도 추계학술대회 논문집
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    • pp.991-994
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    • 1995
  • Recent trend in machine tools is pursuing the high precision and high speed facility and its architecture is being more complicated. With this tendency, it is required the more precise dynamic analysis of electro-mechanical system in machine tools. In this paper, the exact mathematical model of feed and spindle system of a typical machine tools was induced. The feed system is modeled as 7-mass system including the workpiece and the spindle system as 4-mass system. The simulation results show that the induced model depicts the characteristics of real system very well. The effects of each mechanical element to dynamic motion of a machine are analyzed by simulation with the induced model. It ia anticipated that the induced model can be used in the analysis of various machine architectures and in the design stage of new machine tools.

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문제 해결 과정에서 규칙을 찾는 초등학생들의 사고 과정 분석

  • 신수진;강정기;노은환
    • East Asian mathematical journal
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    • 제28권2호
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    • pp.173-195
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    • 2012
  • The purpose of this study is to help for an in-depth understanding of their thinking process by observing and analyzing the response found by two elementary school students, Through this study, the following findings could be obtained. First, two students have a tendency trying to solve the complex situation at first. Second, we could know that it is an important factor in discovering the pattern to predict it. Third, we could know that the activity of reconstructing the data meaningfully is an important factor in discovering the pattern. Fourth, it is an important factor in finding the pattern to work organically the activity of predicting it with the activity of reconstructing the data meaningfully. We hope that this study offers the help for an in-depth understanding of students's thinking process.

가법성에 대한 예비 초등교사의 반응 연구 (A Study on the Pre-service Elementary Teachers' Reaction for the Additive Property)

  • 정영우;김부윤
    • East Asian mathematical journal
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    • 제29권2호
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    • pp.189-205
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    • 2013
  • Addition problems can be divided into the 'problem of quantity' which does not have the concept of object or unit, and the 'problem of number' which have the concept of object or unit. 'Additive property' is the factor which has to be considered in the former case. On the other hand, 'additive property' is not considered and meaningless in the latter case. However, this additive property is not emphasized in the elementary curriculum that mostly deals with quantitative problems, so related errors are occurred in actual life. In this study, we will investigate to the pre-service elementary teachers through the problems of deciding the additive property. The result shows that the pre-service elementary teachers' cognition of additive problems is insufficient. This study will provide focal points in the teacher education and the elementary education, and the clues for the operating programs through the information about the tendency of errors.

An Analysis of Fraction Operation Sense to Enhance Early Algebraic Thinking

  • Lee, Jiyoung;Pang, Jeongsuk
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제16권4호
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    • pp.217-232
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    • 2012
  • While many studies on early algebra have been conducted, there have been only a few studies on the operation sense as the fundamental element of algebraic thinking, especially the fraction operation sense. This study explored the dimensions of fraction operation sense and then investigated students' fraction operation sense. A total of 183 of sixth graders were surveyed and 5 students who showed high operation sense were clinically interviewed in order to analyze their algebraic thinking in detail. The results showed that students had a tendency to use direct calculation or employ inappropriate operation sense rather than to use the structure of operation or the relation between operations on the basis of algebraic thinking. This study implies that explicit instruction on early algebra is necessary from the elementary school years.

기하 증명 구성에 나타나는 학생들의 사고과정 탐색 (Exploring students' thinking in proof production in geometry)

  • 안선영;김구연
    • 한국수학교육학회지시리즈A:수학교육
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    • 제53권3호
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    • pp.383-397
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    • 2014
  • This study aims to explore secondary students' thinking while doing proof in geometry. Two secondary students were interviewed and the interview data were analyzed. The results of the analysis suggest that the two students similarly showed as follows: a) tendencies to use the rules of congruent and similar triangles to solve a given problem, b) being confused about the rules of similar and congruent triangles, and c) being confused about the definitions, partition and hierarchical classification of quadrilaterals. Also, the results revealed that a relatively low achieving student has tendency to rely on intuitive information such as visual representations.

초등학교 교사들의 수학 수업에 대한 불안 요인과 수학에 대한 태도 조사

  • 배민옥;김상룡
    • East Asian mathematical journal
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    • 제28권4호
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    • pp.363-381
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    • 2012
  • The purpose of this study to analyze correlation for the tendency of mathematics anxiety, traits according to the factors of mathematics anxiety and mathematics attitude depending on the teacher variable through a survey of mathematics anxiety and attitude toward mathematics on teaching mathematics of elementary school teachers. To solve the questions above, sampled 250 elementary school teachers in Daegu province. As a result of the study, mathematics anxiety on teaching is not actually formed a lot. However, the more training experience with mathematics, previous academic career, education career were, the lower mathematics anxiety was. The results showed that mathematics anxiety is affected by previous academic career, training experience with mathematics in particular. In addition, we found that mathematics anxiety is affected by mathematics anxiety in their school, recognition of the ability to explain mathematics contents and attitudes toward mathematics.

RESEARCH ON SENTIMENT ANALYSIS METHOD BASED ON WEIBO COMMENTS

  • Li, Zhong-Shi;He, Lin;Guo, Wei-Jie;Jin, Zhe-Zhi
    • East Asian mathematical journal
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    • 제37권5호
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    • pp.599-612
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    • 2021
  • In China, Weibo is one of the social platforms with more users. It has the characteristics of fast information transmission and wide coverage. People can comment on a certain event on Weibo to express their emotions and attitudes. Judging the emotional tendency of users' comments is not only beneficial to the monitoring of the management department, but also has very high application value for rumor suppression, public opinion guidance, and marketing. This paper proposes a two-input Adaboost model based on TextCNN and BiLSTM. Use the TextCNN model that can perform local feature extraction and the BiLSTM model that can perform global feature extraction to process comment data in parallel. Finally, the classification results of the two models are fused through the improved Adaboost algorithm to improve the accuracy of text classification.

초기의 교과서검정제도와 수학교과서 (The Early Textbook Authorization System and the Textbooks of Mathematics)

  • 국침태랑
    • 한국수학교육학회지시리즈A:수학교육
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    • 제24권2호
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    • pp.27-34
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    • 1986
  • At present, Japanese textbooks of mathematics for elementary and secondary schools are thorized by the Ministry of Education. In former days, this system was also in effect for mentary schools until 1905 and for secondary schools until 1944. this article we discuss the start and the change of this system until 1905 and its influences the textbooks of mathematics. The main interest of the system was originally to prevent the textbooks from having the pressions which have the fear of breaking laws, disturbing the public morals or mistaking real facts. The interest changed to assure that the textbooks might comply with the ional standards of teaching syllabuses. And the standards such as the ones of the sizes of ers in the textbooks were made public one after another. The comments attached to the textbooks which applied for the authorization often pointed out use of unsuitable concrete numbers. The comments were often concerned with the difficulty words or sentenses for elementary schools and with the incorrectness of mathematical contents secondary schools. We conclude that the system encouraged the rapid modernization and regularization of Japanese tbooks during this period. We may note that there was a tendency not to adopt an extremely usual trial into the textbooks.

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Modelling of chloride diffusion in saturated concrete

  • Tsao, Wen-Hu;Huang, Nai-Ming;Liang, Ming-Te
    • Computers and Concrete
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    • 제15권1호
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    • pp.127-140
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    • 2015
  • The process of chloride ingress in saturated concrete was presented by a previous study that used a mathematical model for the same as that concrete. This model is to be studied chloride ion diffusion which is considered as a chemical phenomenon and is to be represented the chloride diffusion process to be a nonlinear partial differential equation (PDE). In this paper, this nonlinear PDE is solved by the Kirchhoff transformation to render into a linear PDE. This linear PDE associated with initial and boundary conditions is also solved by the Laplace transformation to obtain an analytical solution. To verify the serviceability and reliability of this proposed method, the practical application should be supplied. The input parameters were cited from the previous study. The free chloride concentration profiles obtained by the analytical solution of mathematical model for saturated concretes after 24 and 120 hrs of exposure were compared with the previous study. The predicted results obtained from proposed method have a tendency with experimental results obtained by the previous study and trend toward numerical results approximated by finite difference technique.

중등 수학 예비교사의 미분계수 과제 변형 (Pre-Service Secondary Mathematics Teachers' Modification of Derivative Tasks)

  • 김하림;이경화
    • 대한수학교육학회지:학교수학
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    • 제18권3호
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    • pp.711-731
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    • 2016
  • 본 연구에서는 중등 수학 예비교사가 교과서의 수학 과제(Mathematical task)를 어떻게 변형하는지 그리고 그 과정에서 예비교사들이 어떤 학습 기회를 가지는지 조사하였다. 이를 위하여 교과서의 미분계수 단원에서 과제를 선정하고 5명의 예비교사를 대상으로 과제 변형 활동을 실시하여 분석한 결과, 다음과 같은 결론을 얻을 수 있었다. 첫째, 과제는 인지적 노력 수준을 유지하거나 높이는 방향으로 이루어졌으며 이러한 경향은 예비교사들이 미분계수의 개념적 이해를 추구하는 가운데 나타났다. 둘째, 과제 변형 활동은 예비교사들에게 다양한 학습기회를 제공하였다. 예비교사들은 교육과정과 교과서의 의도를 파악하기 위해 노력하였고, 학생의 반응을 예측하는 것의 중요성을 알게 되었으며, 협업과 반성적 사고의 기회를 가졌다.