• Title/Summary/Keyword: 수학 불안

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Case Study on College Calculus Education for Vocational High School Graduates with Coding (직업계 고등학교 졸업생 대상 'Math & 코딩'을 활용한 대학 미분적분학 교육 사례 연구)

  • Lee, Jae Hwa;Lee, Sang-Gu;Ham, Yoonmee
    • Communications of Mathematical Education
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    • v.36 no.4
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    • pp.611-626
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    • 2022
  • In this study, we introduced the case of college calculus course for vocational high school graduates with coding. We suggest this case as an alternative to overcome mathematics anxiety. Contents, python/SageMath codes, and textbook for this course, which help students to easily and quickly review middle and high school mathematics, were newly developed by authors. Due to the use of codes and chat with classmates in learning management system, most of the students who took this course reported that they no longer felt anxious in complex mathematics problems, had a full understanding of calculus concepts, could solve almost problems in any calculus textbooks with or without codes, and could explain calculus concepts to other students in their own words. In this way if mathematics and coding is properly used in mathematics education, it helps students with weak mathematical backgrounds or mathematics anxiety to restore confidence in mathematics in college. This could be applicable in secondary mathematics education.

Investigation of Friction Noise in Ball Joint Under Edge Loading Condition (가장자리 하중조건에서의 볼 조인트 마찰소음 연구)

  • Kang, Jaeyoung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.7
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    • pp.779-784
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    • 2014
  • This study provided the analytical model describing the friction-induced noise in the ball joint system under the edge loading condition. The frictional and conformal contact kinematics between the spherical bearing and the hemispherical socket was derived and the dynamic equations of the perturbed motion were established. The numerical results revealed that the bending modes of the ball joint system can become unstable due to friction, and the axial load and contact stiffness strongly influenced the dynamic instability. In contrast, the tilting angle of the socket was not found to significantly contribute to the dynamic instability of the ball joint.

Investigation on Friction Noise in Beam Structure Under Mode-Coupling by Using Analytical Finite-Element Squeal Model (스퀼 융합모델을 이용한 모드연성에 의한 빔 구조 마찰 소음 연구)

  • Kang, Jaeyoung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.5
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    • pp.545-550
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    • 2014
  • This study provided the analytical finite element method estimating the friction-induced noise on the complex beam structure. The frictional contact model was theoretically constructed and applied to the analytical finite element squeal model. The numerical results showed that the beam structure was excited by the mode-coupling instability of the specific system modes. Also, the direction of friction was shown to influence on the dynamic instability of the modes. Besides, the unstable modal frequencies estimated from the numerical calculation were validated by the experiment of the actual beam structure.

Development and verification of an affective inventory in Mathematical Learning (수학 학습에 대한 정의적 성취 검사 도구 개발 및 검증)

  • Lee, Chong-Hee;Kim, Sun-Hee;Kim, Soo-Jin;Kim, Ki-Yeon;Kim, Bu-Mi;Yun, Soo-Cheol;Kim, Yun-Min
    • The Mathematical Education
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    • v.50 no.2
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    • pp.247-261
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    • 2011
  • In this study, the researchers developed an inventory which can measure the affective achievement in mathematical learning especially targeted to Korean students. By using EFA and CFA, the six affective factors of mathematical learning such as learning directivity, self control, anxiety, interest, cognizing value and confidence are distinguished. Also, the content validity of this inventory was examined by the experts groups, composed of mathematics education professors, high school mathematics teachers, and measurement experts. The reliability of the instrument was high enough to trust the results. Through a large scaled sampling, the reliability and validity of this inventory were verified. In addition, this inventory was developed not by a partial aspects of a certain theory but based on the recent theories. Due to these reasons, the results of this study can be respected that it plays a leading part in understanding the affective achievement of Korean students.

A Model for Constructing Learner Data in AI-based Mathematical Digital Textbooks for Individual Customized Learning (개별 맞춤형 학습을 위한 인공지능(AI) 기반 수학 디지털교과서의 학습자 데이터 구축 모델)

  • Lee, Hwayoung
    • Education of Primary School Mathematics
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    • v.26 no.4
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    • pp.333-348
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    • 2023
  • Clear analysis and diagnosis of various characteristic factors of individual students is the most important in order to realize individual customized teaching and learning, which is considered the most essential function of math artificial intelligence-based digital textbooks. In this study, analysis factors and tools for individual customized learning diagnosis and construction models for data collection and analysis were derived from mathematical AI digital textbooks. To this end, according to the Ministry of Education's recent plan to apply AI digital textbooks, the demand for AI digital textbooks in mathematics, personalized learning and prior research on data for it, and factors for learner analysis in mathematics digital platforms were reviewed. As a result of the study, the researcher summarized the factors for learning analysis as factors for learning readiness, process and performance, achievement, weakness, and propensity analysis as factors for learning duration, problem solving time, concentration, math learning habits, and emotional analysis as factors for confidence, interest, anxiety, learning motivation, value perception, and attitude analysis as factors for learning analysis. In addition, the researcher proposed noon data on the problem, learning progress rate, screen recording data on student activities, event data, eye tracking device, and self-response questionnaires as data collection tools for these factors. Finally, a data collection model was proposed that time-series these factors before, during, and after learning.

A Study of Anxiety Factor for the Learning of Mathematics (수학학습에 대한 불안요인 연구)

  • 오후진;이종배
    • Journal of the Korean School Mathematics Society
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    • v.3 no.1
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    • pp.47-57
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    • 2000
  • The purpose of this study is to investigate the degree of anxiety factors for learning mathematics and look into the reason of anxiety of mathematics and show the method of eliminating negative and anxious factors in elementary school, secondary school and high school. To have learner take an interest in learning mathematics, develop the positive attitude about learning mathematics and maximize the effect of learning of mathematics, three kinds of hypotheses are established as follows: 1. There would be difference in anxiety factor of learning mathematics according to elementary school, secondary school and high school. 2. There would be difference in anxiety factor of learning mathematics according to sex. 3. There be difference in anxiety factor of learning mathematics according to the level of achievement. The results of this study are as follows: 1. Hypotheses I was testified. The anxiety factor between mathematics learning and mathematics teacher was significant difference according to elementary school, secondary school and high school. 2. Hypotheses II was testified. The result of hypotheses II was significant difference only in high school. The anxiety factor of mathematics teacher was significant difference according to boy student and girl student. 3. Hypotheses III was testified. The anxiety factor of mathematics, teacher and test was significant difference only in elementary school and high school.

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지절 발생 시 제지공정 안정화를 위한 동적 시뮬레이션 및 공정 컨트롤

  • 이진희;이학래
    • Proceedings of the Korea Technical Association of the Pulp and Paper Industry Conference
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    • 2001.11a
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    • pp.67-68
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    • 2001
  • 제지공장은 에너지 다소비 업종이며 고도의 장치산업이기 때문에 초지 설비의 효과적 운영을 통한 생산성 극대화가 경제성과 직결되어 었다. 또한 24시간 연속생산을 하는 초지 설비로 소비자가 선호하는 품질의 종이를 생산하기 위해서는 공정의 안정성 이 매우 중요하다. 이는 공정의 불안정화는 생산제품의 품질 변화를 유발함으로써 균일 성을 저하시키는 악영향을 미치기 때문이다. 제지 공정의 안정화를 저해하는 인자에는 지절, 지종 변화, 조업중단, 조업재개 둥과 공정의 특성상 수반되는 돌발사태 등이 있을 수 있다. 이들 인자 가운데 가장 심각하게 공정의 안정성을 악화시키는 것은 지절의 발 생이라 할 수 있다. 지절이 발생되면 생산성 저하 등의 여러 문제점이 발생하기도 하지 만 다량의 파지가 발생되기 때문에 공정 안정성 면에서 볼 때에도 부득이하게 생성된 다량의 파지를 공정에 재투입하기 위해 재해리해야하므로 많은 양의 백수가 소모되며 이에 따라 예기치 않은 공정 백수의 사용으로 전체 백수계에 갑작스런 변동이 생기게 된다. 백수가 파지의 해리에 사용됨에 따라 공정 내에는 추가적인 청수가 공급되어야 하므로 전체적으로는 청수의 사용량도 늘어난다. 또한 증가된 파지의 재사용도 대부분 의 공장에서 broke chest의 용량이 한정되어 있으므로 이의 적절한 컨트롤은 중요하다. 더욱이 점차 공정이 고폐쇄화됨에 따라 공정 컨트롤에 대한 여유가 적으므로 백수와 공정의 관리는 점차 어려워지고 있다. 공정 시율레이션은 현존하는 공정을 수학적으로 모델화하여 이를 컴퓨터 하드 왜어를 이용해 실제 공장에서 일어나는 상황을 모사하는 것이다. 이러한 공정 모사는 새로운 공장을 설계하기 전에 타당성 조사와 여러 가지 사례조사를 실시할 때, 기존 공 장의 개조나 증설 또는 기존 공장의 운전조건을 실제로 변경하기 전에도 미리 모사를 함으로써 실제 시험 운전을 하는 경우 보다 많은 비용과 시간을 절약할 수 있다. 본 연 구는 백상지 생산 공정 설계도면을 참고하여 상용 시율레이터로 시율레이션 모델을 구 축하고 이를 기반으로 지절 상황을 모사하였으며, 지절 후의 공정 불안정화 상황을 파 악하였다. 또한 이러한 상황의 대책을 강구하기 위해 다양한 공정 조절 방안을 시율레이션 모댈에 적용하여 그 결과를 해석하였다.

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Prediction of Preliminary Pogo Instability on a Space Launch Vehicle (예비설계 단계 우주발사체의 공급/추진계 모델을 이용한 포고 불안정성 예측)

  • Lee, SangGu;Sim, JiSoo;Shin, SangJoon;Seo, Yongjun;Ann, Sungjun;Song, Huiseong;Kim, Youdan
    • Journal of the Korean Society of Propulsion Engineers
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    • v.21 no.6
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    • pp.64-72
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    • 2017
  • The longitudinal dynamic instability which can occur in the fueling process of a space launch vehicle is called pogo. It is caused by coupling between the fuselage and propulsion system and they would be formed as a closed-loop system. so that the amplitude of the response may increase or decrease. In this paper, a mathematical model which is applicable to the systematic pogo analysis of a general launch vehicle is developed for an example of space shuttle. The formulations are composed of the linearized second-order differential equation for the propulsion system, and of the pressure, weight displacement, and generalized displacement. Those are important parameters for pogo analysis, are derived through eigenvalue analysis. By the formulation suggested in this paper, it is expected that mathematical modeling method of the pogo system can be obtained and systematic pogo stability analysis for any launch vehicle will be enabled.

과학고등학교 학생들의 수학불안감소와 수학성취도 향상을 위한 인지/행동 훈련의 효과

  • 김보경;조성희;이군현
    • Journal of Gifted/Talented Education
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    • v.7 no.1
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    • pp.31-50
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    • 1997
  • 'I'his study investigated students' attitude toward mathematics. and how behavior/cognitive training affects level of math anxietv and level of math achievement. Subjects were all the freshmen attending Taejon Science High School, and they were given Mathematics Attitudes Scale and Attributional Style Questionnaire prior to and post training sessions. Twenty out of 84 freshmen voluntarily participated in nine sessions of training program. Participants were asked to do self-evaluation. Math achievement was measured prior to and post training. and was compared between two groups. Training program utilized behavior/cognitive approach. such as understanding one's feeling through muscle relaxation, breathing and meditation; modifying negative attributional style; imitating effective cognitive strategies for math problem solving, and so on. 'I'he result shows that students' math confidence in general was relatively low out of expectation, a nd they perceived teachers not supporting their math abilities :IS much as expected. On the other hand, students in general had strong math achievelment needs, and considered math utility very high. Sex difference was seen in the attitude toward female math abilities, to result that female students had more positive perception than male students. Female students of 'I'aejon Science High School seem free from conventional idea about female abilities including theirs. Participants' ~attitude change was compared with non-participants. and participants showed statistically significant change in their math confidence, and also in their math achievement. Participants had much higher math confidence and ~achievement than non-participants. And, they showed increased level of perceiving teachers' expectation. more realistic in needs, and more involvement in math. Math achievement was found positively related to math confidence, and participants' math achievement change was explained by their belief in math utility. Not only training program effect hut also participants' voluntary involvement and teacher\ulcorner' support of the program and participation seem to increase their math achievement. Based upon the result of study it was suggested that behavior-/cognitive training program be provided along with academic curricula for gifted students of Korea to help their emotional and psychological development enhance the efficacy of their cognitive learning.

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Study on Dynamics Modeling of Pogo Suppression Device (PSD) (포고억제장치(PSD) 동특성 모델링에 관한 연구)

  • Lee, Jun-Kyoung
    • Journal of the Korean Society of Propulsion Engineers
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    • v.11 no.5
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    • pp.23-30
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    • 2007
  • The effectiveness of a pogo suppression device (PSD) on the response of piping system simulating the propellant supply lines of the rocket engines was investigated experimentally by other researchers. In this study, the simplified analytical model was made, and the key parameters which are difficult to derive theoretically were identified in combination with the previous experimental work. In other words, the flow transient equations for a PSD system and the key parameters used to decide the instability of the system from the linearized transfer function including inertance, compliance, and resistance were derived. From the analysis, the values of key parameters could be determined from the experimental results.