• Title/Summary/Keyword: Mathematical interest

Search Result 501, Processing Time 0.022 seconds

A qualitative case study about mathematics pre-service teachers' motivation, ways of dealing with university mathematics knowledge and tutoring experiences (중등 수학 예비교사의 진학동기, 수학 전공공부 및 과외 경험에 관한 질적 사례 연구)

  • Jun, Youngcook
    • Journal of Educational Research in Mathematics
    • /
    • v.23 no.2
    • /
    • pp.269-284
    • /
    • 2013
  • The aim of this paper is to explore and understand, using in-depth interviews, the participant's motivation for becoming a math teacher, ways of dealing with university math knowledge and private tutoring experiences. In addition a larger aim is to understand how the individual's interest in mathematics and turing are linked to his/her larger personal tendencies contrasting secondary and university math learning. In-depth interviews were conducted with 6 pre-service teachers' subjective experiences focusing on motivation and feelings on mathematical knowledge and private tutoring. The output of this research consists of 3 cases, highlighting and conceptually developing the specific aspects under study; different ways in which individuals' involvement with the math learning and tutoring that might be connected with the ways of becoming teachers. Larger aspects of pre-service teachers' subjective experiences were sketched by contrasting the inner aspects of the individuals. Several suggestions were presented at the end with the possible research directions for math education.

  • PDF

A Study on the Characteristics of Organic Design of Alvar Aalto (알바 알토(Alvar Aalto)의 유기적 디자인 특성에 관한 연구)

  • 이종선
    • Korean Institute of Interior Design Journal
    • /
    • no.12
    • /
    • pp.91-99
    • /
    • 1997
  • Alvar Aalto has pursued National Romanticism, cultural art movement in scandinavian peninsula, organic concepts of growth and suitability, comprehensive view of nature including a possibility of coexistance of human-being and the nature well harmonized. For instance, his design expressed local features of the nature, human emotions instead of geometical arts and mathematical principles. It is noteworthy today that he built up the identity with satrical architecture vocabularies, different from modern arch-itechtural idiology. The characte-ristics of his design related to interior architecture are collectively as follows; The first, Space discontinuity of the interior and exterior, gradual process by joints which are inclined to collage with many shapes in plan and section of the space and such joints are adjusted by sensual ways and stressed with inner collectivity in his works. The second, He pursued the architectural orderfor modern irreqularity, various changes and sensual harmonies. As result, free curved line, fan shape and irregular modeling were individually expressed by technics of natural features and national characteristics of Finland. The third, Organic synthesis. A harmony through med-ums in its space, materials and space effectiveness relations are made and expressed for mixed design especially harmonized of all the materials he planned, entire harmony with total design, itemized details, materials and furnitures in entire space. The fourth, The interest of the nature based on his sense harmonized with nature made him mainly use native materials, lumbers and red bricks masonry and showed and arranged various interior sky light and grazed in to let natural light in, harmony with garden to sensually cohere to the nature and courtyard, etcetera. His major subject are to direct architectural developments through the nature and human-being in his works. At this point, it is considered that his direction of the locality and independence as a human-being made the concepts of organic space structure possible.

  • PDF

The Generalization of the Area of Internal Triangles for the GSP Use of Mathematically Gifted Students (중등 영재학생들의 GSP를 활용한 내분삼각형 넓이의 일반화)

  • Lee, Heon-Soo;Lee, Kwang-Ho
    • Journal of the Korean School Mathematics Society
    • /
    • v.15 no.3
    • /
    • pp.565-584
    • /
    • 2012
  • This study investigates how the GSP helps gifted and talented students understand geometric principles and concepts during the inquiry process in the generalization of the internal triangle, and how the students logically proceeded to visualize the content during the process of generalization. Four mathematically gifted students were chosen for the study. They investigated the pattern between the area of the original triangle and the area of the internal triangle with the ratio of each sides on m:n respectively. Digital audio, video and written data were collected and analyzed. From the analysis the researcher found four results. First, the visualization used the GSP helps the students to understand the geometric principles and concepts intuitively. Second, the GSP helps the students to develop their inductive reasoning skills by proving the various cases. Third, the lessons used GSP increases interest in apathetic students and improves their mathematical communication and self-efficiency.

  • PDF

Optimal Design of Interior Permanent Magnet Synchronous Machines Consideration of Magnet BH Characteristic with Different Rotor Type using Response Surface Methodology (반응표면분석법을 이용한 영구자석의 형상 및 특성에 따른 매입형 영구자석 동기기의 최적 설계)

  • Im, Young-Hun;Jang, Seok-Myoung
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.62 no.8
    • /
    • pp.1080-1089
    • /
    • 2013
  • Interior Permanent Magnet Synchronous Machines (IPMSMs) with rare earth magnet are widely used in electric vehicles and hybrid electric vehicles. IPMSMs having high efficiency, high torque, and a wide speed range are employed in propulsion system. And the rotor in an IPMSM is generally made of a rare earth magnet to achieve a large energy product and high torque. This paper discusses issues regarding design and performance of IPMSMs using different factors of BH magnetic characteristic. It is necessary to choose factors of magnetic material according to permanent magnet shape in rotor for high performance. Response Surface Methodology (RSM) is selected to obtain factors of magnetic material according to variety of rotor shapes. The RSM is a collection of mathematical and statistical techniques useful for the analysis of problems in which a response of interest in influenced by several variables and the objective is to optimize response. Therefore, it is necessary to analyze the torque characteristics of an IPMSM having magnet BH hysteresis curve with different rotor shape. Factors of residual flux density (Br) factor and intrinsic coercive force (Hc) are important parameters in RSM for rotor shape. The rotor shapes for IPMSMs having magnet BH characteristic were investigated using the RSM, and three shapes were analyzed in detail using FEA. The results lead to design consequence of IPMSMs in the various rare earth magnet materials.

Development and Application of Meta-cognition-based App for Students with Learning Disabilities (학습장애학생을 위한 메타인지기반 앱 개발 및 적용)

  • Kwak, Sungtae;Jun, Woochun
    • Journal of the Korea Institute of Information and Communication Engineering
    • /
    • v.19 no.3
    • /
    • pp.689-696
    • /
    • 2015
  • In this study, a learning system based on smart learning is proposed so that students with learning disabilities can learn the effective use of meta-cognitive to solve problems arising during the learning process. The features of the proposed system are as follow. First, it is possible to achieve students' individualized learning by use of smart devices and smart education system. Second, it is possible to provide the constant repetition learning for students. Third, students can improve their achievement using the proposed app. The proposed smart education system using meta-cognition was applied to some learning disabilities students. The following results were obtained. First, the disabled students could have an interest in learning math and improve confidence. Second, the student's mathematical problem-solving skills have improved. Third, students' individualized and self-directed learning was achieved.

Generalized BER Performance Analysis for Uniform M-PSK with I/Q Phase Unbalance (I/Q 위상 불균형을 고려한 Uniform M-PSK의 일반화된 BER 성능 분석)

  • Lee Jae-Yoon;Yoon Dong-Weon;Hyun Kwang-Min;Park Sang-Kyu
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.31 no.3C
    • /
    • pp.237-244
    • /
    • 2006
  • I/Q phase unbalance caused by non-ideal circuit components is inevitable physical phenomenons and leads to performance degradation when we implement a practical coherent M-ary phase shift keying(M-PSK) demodulator. In this paper, we present an exact and general expression involving two-dimensional Gaussian Q-functions for the bit error rate(BER) of uniform M-PSK with I/Q phase unbalance over an additive white Gaussian noise(AWGN) channel. First we derive a BER expression for the k-th bit of 8, 16-PSK signal constellations when Gray code bit mapping is employed. Then, from the derived k-th bit BER expression, we present the exact and general average BER expression for M-PSK with I/Q phase unbalance. This result can readily be applied to numerical evaluation for various cases of practical interest in an I/Q unbalanced M-PSK system, because the one- and two-dimensional Gaussian Q-functions can be easily and directly computed using commonly available mathematical software tools.

Performance Prediction Model of Solid Oxide Fuel Cell Stack Using Deep Neural Network Technique (심층 신경망 기법을 이용한 고체 산화물 연료전지 스택의 성능 예측 모델)

  • LEE, JAEYOON;PINEDA, ISRAEL TORRES;GIAP, VAN-TIEN;LEE, DONGKEUN;KIM, YOUNG SANG;AHN, KOOK YOUNG;LEE, YOUNG DUK
    • Transactions of the Korean hydrogen and new energy society
    • /
    • v.31 no.5
    • /
    • pp.436-443
    • /
    • 2020
  • The performance prediction model of a solid oxide fuel cell stack has been developed using deep neural network technique, one of the machine learning methods. The machine learning has been received much interest in various fields, including energy system mo- deling. Using machine learning technique can save time and cost requried in developing an energy system model being compared to the conventional method, that is a combination of a mathematical modeling and an experimental validation. Results reveal that the mean average percent error, root mean square error, and coefficient of determination (R2) range 1.7515, 0.1342, 0.8597, repectively, in maximum. To improve the predictability of the model, the pre-processing is effective and interpolative machine learning and application is more accurate than the extrapolative cases.

An Investigationi into the Dynamic Characteristics of Turbine and Gear Motor Type Flowmeters (터빈형과 기어모터형 유량계의 동특성 검토)

  • 예용택
    • Journal of the Korean Society of Manufacturing Technology Engineers
    • /
    • v.9 no.3
    • /
    • pp.83-89
    • /
    • 2000
  • In hydraulic control system turbine and gear motor type flowmeters are widely used to measure the flow rate under steady flow conditions. With the recent growth of interest in the measurement of instantaneous values of unsteady flow rate the test of the transient response of these flowmeters are in some significance. however an unsteady flow rate mea-surment and its calibration method with a fast response and a high accuracy have not beendeveloped. In this research particularly the dynamic characteristics of turbine and gear motor type flowmeters are investigated experimentally and simple mathematical models are proposed. The measured flow rate waveforms are compared with those by remote instan-taneous flow rate measurement method(RIFM) which has been developed by author and used for calibration As the result of frequency response test gain and phase between the measured flow rate waveforms by turbine type flowmeter and those estimated by RIFM are in good agreement up to 70Hz For the gear motor type flowmeter th simulated results by a math-ematical model proposed here agree well with the experiment nearly up to 100Hz. Also it if sound that the pressure drop across the flowmeter is increased in proportion to the frequency of the flow rate variation in a high frequency region of more than 100Hz. It can be explained that the dealy of gear motor type flowmeter in high frequency regionis mainly attributed to a first order delay consisting of the inertia of gears and internal leakage of the gear motor.

  • PDF

Additive Properties of Crude, Age Specific and Age Adjusted Rates for Cancer Incidence and Mortality

  • Takiar, Ramnath;Shrivastava, Atul
    • Asian Pacific Journal of Cancer Prevention
    • /
    • v.15 no.13
    • /
    • pp.5407-5409
    • /
    • 2014
  • Background: In National Cancer Registry Programme (NCRP) reports, various rates are routinely provided for 50 cancer sites of males and 54 cancer sites of females. Very often, depending on our interest, we wish to see these rates for group of cancers like head and neck cancers, oral cancers, and reproductive cancers. In such a situation, the desired rates are calculated independently from the actual data and reported. The question is can we derive the rates for groups of cancers from the published reports when the data is provided only for the individual sites? Objective: In the present paper, an attempt is made to explore the mathematical properties of various rates to derive them directly for the group of cancer sites from the published data when the rates are provided only for the individual sites. Source of data: The cancer incidence data collected by two urban Population Based Cancer Registries (PBCRs), under the network of NCRP for the period of 2006-08 was considered for the study purposes. The Registries included were: Bangalore and Bhopal. Results: In the present communication, we have shown that the crude rate (CR), age specific rates and age-adjuste rates (AAR) all possess additive properties. This means, given the above rates for individual sites, the above rates can be calculated for groups of sites by simply adding them. In terms of formula it can be stated that CR(Site1+Site2+++ SiteN) = CR(Site1)+CR(Site2) +++ CR(SiteN). This formula holds good for age specific rates as well as for AAR. This property facilitates the calculation of various rates for defined groups of cancers by simply adding the above rates for individual sites from which they are made up.

Applications of New Differential Dynamic Programming to the Control of Real-time Reservoir (새로운 미분동적 계획법에 의한 저수지군의 최적제어)

  • Sonu, Jung Ho;Lee, Jae Hyoung
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.4 no.3
    • /
    • pp.27-42
    • /
    • 1984
  • The complexity and expensiveness of water resources projects have made optimum operation and design by computer-based techniques of increasing interest in recent years. Water resources problems in real world need many decisions under numerous constraints. In addition there are nonlinearities in the state and return function. This mathematical and technical troublesome must be overcome so that the optimum operation polices are determined. Then traditional dynamic optimization method encountered two major-cruxes: variable discretization and appearance of constraints. Even several recent methods which based on the Differential Dynamic Programming(DDP) have some difficulties in handling of constraints. This paper has presented New DDP which is applicable to multi-reservoir control. It is intended that the method suggested here is superior to abailable alternatives. This belief is supported by analysis and experiments(New DDT does not suffer course of dimensionality and requires no discretization and is able to handle easily all constraints nonlinearity).

  • PDF