• 제목/요약/키워드: First Korean mathematical science journal

검색결과 327건 처리시간 0.026초

수학교과 중심의 STEAM 수업이 중학생들의 STEM 분야 진로 흥미도 및 융합적 문제해결력에 미치는 영향 (The Effects of Mathematics-Centered STEAM Program on Middle School Students' Interest in STEM Career and Integrated Problem Solving Ability)

  • 한혜숙
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제31권1호
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    • pp.125-147
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    • 2017
  • 본 연구에서는 중학교 1학년 자유학기제 시간을 활용하여 수학교과 중심의 STEAM 수업을 실시한 후 STEAM 교육이 중학교 1학년 학생들의 STEM 분야에 대한 진로 흥미도와 융합적 문제해결력에 미치는 영향에 대해서 살펴보았다. 본 연구는 2016년도에 한국과학창의재단/교육부의 지원을 받아 개발된 자유학기제용 수학교과 중심의 STEAM 프로그램을 활용하여 총 12주 동안 중학교 1학년 학생 40명을 대상으로 수행되었다. STEM 분야 진로 흥미도 검사결과에 의하면, STEAM 수업이 중학생들의 과학, 수학 및 기술/공학 분야의 진로에 대한 흥미를 높이는데 효과가 있는 것으로 나타났다. 융합적 문제해결력 검사에서도 STEAM 수업은 학생들의 융합적 문제해결력을 향상시키는데 효과가 있는 것으로 나타났는데, 특히 '사고력' 과 '설계 및 실행' 능력을 향상시키는데 효과가 있었다.

Mathematical Models to Describe the Kinetic Behavior of Staphylococcus aureus in Jerky

  • Ha, Jimyeong;Lee, Jeeyeon;Lee, Soomin;Kim, Sejeong;Choi, Yukyung;Oh, Hyemin;Kim, Yujin;Lee, Yewon;Seo, Yeongeun;Yoon, Yohan
    • 한국축산식품학회지
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    • 제39권3호
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    • pp.371-378
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    • 2019
  • The objective of this study was to develop mathematical models for describing the kinetic behavior of Staphylococcus aureus (S. aureus) in seasoned beef jerky. Seasoned beef jerky was cut into 10-g pieces. Next, 0.1 mL of S. aureus ATCC13565 was inoculated into the samples to obtain 3 Log CFU/g, and the samples were stored aerobically at $10^{\circ}C$, $20^{\circ}C$, $25^{\circ}C$, $30^{\circ}C$, and $35^{\circ}C$ for 600 h. S. aureus cell counts were enumerated on Baird Parker agar during storage. To develop a primary model, the Weibull model was fitted to the cell count data to calculate Delta (required time for the first decimal reduction) and ${\rho}$ (shape of curves). For secondary modeling, a polynomial model was fitted to the Delta values as a function of storage temperature. To evaluate the accuracy of the model prediction, the root mean square error (RMSE) was calculated by comparing the predicted data with the observed data. The surviving S. aureus cell counts were decreased at all storage temperatures. The Delta values were longer at $10^{\circ}C$, $20^{\circ}C$, and $25^{\circ}C$ than at $30^{\circ}C$ and $35^{\circ}C$. The secondary model well-described the temperature effect on Delta with an $R^2$ value of 0.920. In validation analysis, RMSE values of 0.325 suggested that the model performance was appropriate. S. aureus in beef jerky survives for a long period at low storage temperatures and that the model developed in this study is useful for describing the kinetic behavior of S. aureus in seasoned beef jerky.

수학영재아들의 행동 특성: 사례연구 (The Behavioral Characteristics of Gifted Children at Mathematics: A Case Study)

  • 박성옥;강윤수
    • 한국학교수학회논문집
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    • 제8권4호
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    • pp.459-480
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    • 2005
  • 이 연구의 목적은 수학영재아들의 행동 특성을 이해하는데 있다. 이를 위해, 대학 부설 영재교육원 수학분야에서 교육받고 있는 네 명의 수학영재아들을 관찰하여 관련 자료를 수집하였다. 수집된 자료를 분석하여, 우리는 다음을 확인하였다: 첫째, 수학영재아들은 자신의 수학적 재능에 자부심을 느끼면서도 스스로 영재성을 인정하려 하지 않는다. 둘째, 수학영재아들은 다양한 분야에 흥미를 갖는다. 특히, 그들은 독서량이 매우 많다. 셋째, 그들은 외재적 요인보다는 스스로 동기부여가 되며 고도의 도덕적 판단력을 지닌다.

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Permanent Magnet Synchronous Motor Control Algorithm Based on Stability Margin and Lyapunov Stability Analysis

  • Jie, Hongyu;Xu, Hongbing;Zheng, Yanbing;Xin, Xiaoshuai;Zheng, Gang
    • Journal of Power Electronics
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    • 제19권6호
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    • pp.1505-1514
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    • 2019
  • The permanent magnet synchronous motor (PMSM) is widely used in various fields and the proportional-integral (PI) controller is popular in PMSM control systems. However, the motor parameters are usually unknown, which can lead to a complicated PI controller design and poor performance. In order to design a PI controller with good performance when the motor parameters are unknown, a control algorithm based on stability margin is proposed in this paper. First of all, based on the mathematical model of the PMSM and the least squares (LS) method, motor parameters are estimated offline. Then based on the estimation values of the motor parameters, natural angular frequency and phase margin, a PI controller is designed. Performance indices including the natural angular frequency and the phase margin are used directly to design the PI controller in this paper. Scalar functions of the d-loop and the q-loop are selected. It can be seen that the designed controller parameters satisfy Lyapunov large scale asymptotic stability theory if the natural angular frequencies of the d-loop and the q-loop are large than 0. Experimental results show that the parameter estimation method has good accuracy and the designed PI controller proposed in this paper has good static and dynamic performances.

Decoding Brain States during Auditory Perception by Supervising Unsupervised Learning

  • Porbadnigk, Anne K.;Gornitz, Nico;Kloft, Marius;Muller, Klaus-Robert
    • Journal of Computing Science and Engineering
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    • 제7권2호
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    • pp.112-121
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    • 2013
  • The last years have seen a rise of interest in using electroencephalography-based brain computer interfacing methodology for investigating non-medical questions, beyond the purpose of communication and control. One of these novel applications is to examine how signal quality is being processed neurally, which is of particular interest for industry, besides providing neuroscientific insights. As for most behavioral experiments in the neurosciences, the assessment of a given stimulus by a subject is required. Based on an EEG study on speech quality of phonemes, we will first discuss the information contained in the neural correlate of this judgement. Typically, this is done by analyzing the data along behavioral responses/labels. However, participants in such complex experiments often guess at the threshold of perception. This leads to labels that are only partly correct, and oftentimes random, which is a problematic scenario for using supervised learning. Therefore, we propose a novel supervised-unsupervised learning scheme, which aims to differentiate true labels from random ones in a data-driven way. We show that this approach provides a more crisp view of the brain states that experimenters are looking for, besides discovering additional brain states to which the classical analysis is blind.

Optimal Design of Nonlinear Hydraulic Engine Mount

  • Ahn Young Kong;Song Jin Dae;Yang Bo-Suk;Ahn Kyoung Kwan;Morishita Shin
    • Journal of Mechanical Science and Technology
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    • 제19권3호
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    • pp.768-777
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    • 2005
  • This paper shows that the performance of a nonlinear fluid engine mount can be improved by an optimal design process. The property of a hydraulic mount with inertia track and decoupler differs according to the disturbance frequency range. Since the excitation amplitude is large at low excitation frequency range and is small at high excitation frequency range, mathematical model of the mount can be divided into two linear models. One is a low frequency model and the other is a high frequency model. The combination of the two models is very useful in the analysis of the mount and is used for the first time in the optimization of an engine mount in this paper. Normally, the design of a fluid mount is based on a trial and error approach in industry because there are many design parameters. In this study, a nonlinear mount was optimized to minimize the transmissibilities of the mount at the notch and the resonance frequencies for low and high-frequency models by a popular optimization technique of sequential quadratic programming (SQP) supported by $MATLAB^{(R)}$subroutine. The results show that the performance of the mount can be greatly improved for the low and high frequencies ranges by the optimization method.

Effects of the Polarization Resistance on Cyclic Voltammograms for an Electrochemical-Chemical Reaction

  • Chang, Byoung-Yong
    • Journal of Electrochemical Science and Technology
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    • 제6권4호
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    • pp.146-151
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    • 2015
  • Here I report an electrochemical simulation work that compares voltammetric current and resistance of a complex electrochemical reaction over a potential scan. For this work, the finite element method is employed which are frequently used for voltammetry but rarely for impedance spectroscopy. Specifically, this method is used for simulation of a complex reaction where a heterogeneous faradaic reaction is followed by a homogeneous chemical reaction. By tracing the current and its polarization resistance, I learn that their relationship can be explained in terms of rate constants of charge transfer and chemical change. An unexpected observation is that even though the resistance is increased by the rate of the following chemical reaction, the current can be increased due to the potential shift of the resistance made by the proceeding faradaic reaction. This report envisions a possibility of the FEM-based resistance simulation to be applied to understand a complex electrochemical reaction. Until now, resistance simulations are mostly based on equivalent circuits or complete mathematical equations and have limitations to find proper models. However, this method is based on the first-principles, and is expected to be complementary to the other simulation methods.

Analytical solution of the Cattaneo - Vernotte equation (non-Fourier heat conduction)

  • Choi, Jae Hyuk;Yoon, Seok-Hun;Park, Seung Gyu;Choi, Soon-Ho
    • Journal of Advanced Marine Engineering and Technology
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    • 제40권5호
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    • pp.389-396
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    • 2016
  • The theory of Fourier heat conduction predicts accurately the temperature profiles of a system in a non-equilibrium steady state. However, in the case of transient states at the nanoscale, its applicability is significantly limited. The limitation of the classical Fourier's theory was overcome by C. Cattaneo and P. Vernotte who developed the theory of non-Fourier heat conduction in 1958. Although this new theory has been used in various thermal science areas, it requires considerable mathematical skills for calculating analytical solutions. The aim of this study was the identification of a newer and a simpler type of solution for the hyperbolic partial differential equations of the non-Fourier heat conduction. This constitutes the first trial in a series of planned studies. By inspecting each term included in the proposed solution, the theoretical feasibility of the solution was achieved. The new analytical solution for the non-Fourier heat conduction is a simple exponential function that is compared to the existing data for justification. Although the proposed solution partially satisfies the Cattaneo-Vernotte equation, it cannot simulate a thermal wave behavior. However, the results of this study indicate that it is possible to obtain the theoretical solution of the Cattaneo-Vernotte equation by improving the form of the proposed solution.

Bourbaki와 수학사 (Bourbaki and the HistorT of Mathematics)

  • 이승온;김태수
    • 한국수학사학회지
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    • 제18권3호
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    • pp.79-90
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    • 2005
  • 일차대전 전의 프랑스 수학사는 괄목할 만 하였으나 일차대전 후 프랑스는 독일과 영국에 비하여 완전히 진공 상태였다. 이에 젊은 프랑스 수학자들은 독일로부터 크게 자극을 받아 Bourbaki학파를 생성하고 때마침 사회적으로나 정치적으로 생성된 구조주의(structuralism)와 발맞추어 수학의 구조적 접근을 시도하였다. 우리는 Bourbaki의 생성 과정과 발전 단계를 알아보고 그 구성원들과 그들이 심혈을 기울여 집필한 책들, 그리고 업적에 대하여 조사한 후 Bourbaki학파의 쇠퇴 과정을 살펴 본다.

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순환여과식 해산 어류 양식장의 수처리 공정 최적화 연구 1. 회전원판법에 의한 해수 중의 암모니아 제거 동력학 (Optimization Studies on Water Treatment Process of Seawater Recirculation Fish Culture Systems 1. Ammonia Removal Kinetics in Seawater Using Rotating Biological Contactor Process)

  • 조영개;이재관;이헌모;양병수
    • 한국양식학회지
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    • 제6권4호
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    • pp.311-321
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    • 1993
  • Ammonia accumulation is regarded as the limiting factor of the first priority in water qualities of aquatic culture systems. Nitrification efficiency and characteristics in seawater were evaluated using Rotating Biological Contactor (RBC) process as a part of the recycling water treatment facilities for marine fish culture system. Ammonia removal efficiency regarded 99.7 to $83.7\%$ at the ammonia surface loading rates of 48 to $393 mg/m^2$ -day. RBC process was able to withstand to the fluctuation of influent ammonia concentrations and loading and produced the stable effluent. The mathematical model on the fixed-film biological reactor developed by Kornegay seemed to be suitable to RBC process kinetic evaluation for the recycling water treatment of the marine fish culture system. Area capacity constant (P) and half-velocity constant (Ks) in the model were 0.188g/m^2$-day and 1.25mg/l, respectively.

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