• 제목/요약/키워드: mathematical experiment

검색결과 590건 처리시간 0.022초

실습을 통한 수축방법의 효과적인 이해 (Effective Teaching of Deflation using Computer Practice)

  • 이규봉
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제20권4호
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    • pp.575-586
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    • 2006
  • Both theory and experiment are very important parts in sciences. Especially in mathematics, theory seems to be very important, but experiment or practice doesn't. Numerical analysis of many parts in mathematics needs practice in computer. In this paper, I suggest that computer-practicing in teaching power method, inverse power method and deflation to calculate eigenvalues and eigenvectors is good in understanding the theory. It also makes students sure that mathematics is helpful.

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수학적 창의성과 태도 및 학업에 미치는 등산학습법의 적용과 효과 (The Effect of Climbing Learning Method on Mathematical Creativity and Attitude toward Mathematical Creativity)

  • 이동희;김판수
    • 한국초등수학교육학회지
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    • 제14권1호
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    • pp.23-41
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    • 2010
  • 본 연구는 일본의 제등승(齊藤昇)(Saito Noboru) 교수에 의해 실천 연구되었던 등산학습법을 초등학교 4, 6학년 학생들에게 적용하여 수학적 창의성과 수학적 창의성 태도, 수학 학업성취도에 미치는 효과를 분석함으로써 수학적 창의성을 신장시킬 수 있는 방안을 모색하는데 그 목적을 두었다. 본 논문에서는 실험집단과 비교집단을 형성하여 t-검증한 결과, 등산학습법이 수학적 창의성 및 수학적 창의성 태도에는 긍정적인 영향을 주었으나 학업성취에서는 유의미한 차이를 나타내지 못했다는 결과와 함께 이러한 결과에 대한 논의와 수업전략을 언급한다.

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문학을 활용한 수학활동에서 교사의 비계설정이 유아의 수학적 성취·흥미·수학 관련 어휘사용에 미치는 영향 (The Effects of Literature Based Mathematical Activities Using Scaffolding on Children's Mathematical Achievement, Interest, and Vocabulary)

  • 정민영;정정희
    • 아동학회지
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    • 제25권4호
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    • pp.129-145
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    • 2004
  • This study examined the effects of Literature-based Mathematical Activities using scaffolding (LMS) on the mathematical achievement, interest, and vocabulary of day care children. The experimental group of 15 boys and 15 girls was exposed to both literature and teacher's scaffolding while the comparison group of 14boys and 16 girls had traditional mathematics curriculum. The experiment was carried out for 8 weeks. ANCOVA and T-test were employed for a statistical analysis. The results revealed statistically significant differences in mathematical achievement, interest, and vocabulary between an experimental and control groups. We can conclude, therefore, that LMS is more effective in developing children's mathematical thinking abilities than a traditional mathematical curriculum.

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수학영재교육을 위한 자발적 수학 동아리 운영 사례 분석 (An Application Case Study of Inventive Mathematical Club for Mathematics Talented students)

  • 서보억
    • 한국수학교육학회:학술대회논문집
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    • 한국수학교육학회 2010년도 제44회 전국수학교육연구대회
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    • pp.77-82
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    • 2010
  • This study assumes alternative character of the operation of gifted class in middle school. The case that operated the voluntary mathematics club for one year was analyzed and the educational effect was considered. First, the examination instrument for choosing the members of mathematics club was developed and used. Second, diverse teaching and learning materials for improving creativity and mathematical ability of the members were used. Third, the difference of learning result between the experiment group and control one who joined the activities of mathematics club was analyzed.

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다구찌 기법과 요인실험의 실험 데이터의 산포 크기에 따라 결과 변화 고찰 (Study on the Result Changes with the Size of the Variance in Taguchi Method and Factor Experimental)

  • 이상복
    • 품질경영학회지
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    • 제41권1호
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    • pp.119-134
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    • 2013
  • Purpose: The purpose of this paper is to show whether the results are changed with respect to the variance of the data, by analysis of data obtained from the Taguchi experimental techniques and general experiment. Because which cannot be prove by mathematical Formula, through experimental examples will show. Methods: Taguchi experiments were carried out with paper Helicopter experiment. Experimental Data are obtained by special designed Drop Test Equipment. While Experimental value arbitrarily changed, we looked at how Significant control Factor of Taguchi Methods and Factor experiments are changed. This process cannot be expressed as a Mathematical formula, but showed as a numerical example. Results: Saw significant changes in the factors when data is outside a certain range of the experimental data. By Test of Equivalence Variance, Experiment data is verified reliability. To find the Control Factor, Taguchi Method is better than the general experiment. Conclusion: We know that a Significant Factor is changed with the range of Variance of Experiment Data. The value of this paper is verified change process with Numerical Data obtained Experiment.

구성주의자의 실험 교수 (The Constructivist Teaching Experiment)

  • 박만구
    • 대한수학교육학회지:학교수학
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    • 제1권2호
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    • pp.513-528
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    • 1999
  • The primary purpose of the constructivist teaching experiment is to experience and construct models of students' mathematical teaming and reasoning. The constraints the teacher experience in teaching experiment constitute a basis for understanding students' mathematics. The constructivist teaching experiment that includes a dynamic interaction process between teacher and students and between students and students, is the most hopeful research method in mathematics education. In this paper, I introduced the constructivist teaching experiment and showed several examples of applications that were used in the previous research.

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REMARKS ON ULRICH BUNDLES OF SMALL RANKS OVER QUARTIC FOURFOLDS

  • Yeongrak Kim
    • 대한수학회지
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    • 제61권2호
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    • pp.279-291
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    • 2024
  • In this paper, we investigate a few strategies to construct Ulrich bundles of small ranks over smooth fourfolds in ℙ5, with a focus on the case of special quartic fourfolds. First, we give a necessary condition for Ulrich bundles over a very general quartic fourfold in terms of the rank and the Chern classes. Second, we give an equivalent condition for Pfaffian fourfolds in every degree in terms of arithmetically Gorenstein surfaces therein. Finally, we design a computer-based experiment to look for Ulrich bundles of small rank over special quartic fourfolds via deformation theory. This experiment gives a construction of numerically Ulrich sheaf of rank 4 over a random quartic fourfold containing a del Pezzo surface of degree 5.

승용차 4륜 조향(4WS) 장치용 비례 압력 제어 밸브의 특성에 관한 연구 (Characteristics of the Proportional Pressure Control Valve for 4 Wheel Steering System on the Passenger Car)

  • 오인호;장지성;이일영
    • 한국자동차공학회논문집
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    • 제4권4호
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    • pp.87-96
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    • 1996
  • The proportional pressure control valve(PCV) is an essential component in the open loop controlled rear wheel steering gear of the four wheel steering(4WS) system on the passenger car. The valve should have versatile functions and higher performance. But, it is hard to find the proportional pressure control valve suitable for the 4WS system. In this paper, the determination of the valve parameters was studied by the stability discrimination and the characteristic analysis for the purpose of the development of a new PCV for the 4WS. The mathematical model of the valve was derived from the valve-cylinder system and the programme for numerical computation was developed. The transfer function of the system was obtained from the mathematical model. The characteristics of the valve were inspected through the experiment and compared to those obtained by numerical method. And then the stability discrimination of the system was done by root locus and the analysis of characteristics was done by the developed programme. From the experiment and the analysis of characteristics was done by the developed programme. From the experiment and the inspection, the appropriation of mathematical model and the usefulness of the programme were confirmed. And the parameters which might affect the performance of the valve can be determined by considering the stability discrimination, the characteristics analysis and required functions.

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Chloromethylation of Naphthalene and Mathematical Planning of Experiment for Revealing Optimal Synthetic Conditions

  • V.V. Pak;R.K. Karimov;Kh.M. Shakhidoyatov;L.M. Yun;Soh, Dea-Wha
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2004년도 SMICS 2004 International Symposium on Maritime and Communication Sciences
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    • pp.36-37
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    • 2004
  • $\alpha$-Chloromethylnaphthalene is a valuable compound for obtaining of the plant growing stimulator - $\alpha$-napthylacetic acid. Chloromethylation of naphthalene by paraformaldehyde in the presence of glacial acetic acid, phosphoric and hydrochloric acids at temperature 80-85$^{\circ}C$ and duration - 6 hours the $\alpha$-chloromethyl-naphthalene yield was 55-57%. Using Box-Wilson method for mathematical planning of experiment carried out optimization of its synthesis for purpose increasing $\alpha$-chloromethylnaphthalene yield. Preliminary, one - factor experiments were carried out for selecting independence main parameters influencing on the synthesis. A full factor experiment of 2$^3$with extended matrix of planning was used for optimization. Aiming to increase the $\alpha$-chloromethylnaphthalene yield, the obtained mathematical model was used for program of sharp raising on the reply surface. The received optimal conditions for the $\alpha$-chloromethylnaphthalene synthesis were selected as following: molar ratio of naphthalene - parapfsormaldehyde of 1 : 2; temperature -105$^{\circ}C$; duration of the reaction -3 hours. The yield of $\alpha$-chloromethylnaphthalene under these optimal conditions was 75 %.

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Exploring the Openness and Innovation of Experiment Teaching in College Mathematics

  • Dan, Qi;Shen, Xiaona;Wu, Songlin;Yang, Tinghong;Fu, Shilu
    • 한국수학교육학회:학술대회논문집
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    • 한국수학교육학회 2010년도 제44회 전국수학교육연구대회
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    • pp.281-289
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    • 2010
  • Experiment teaching is an important part for science and engineering colleges, teaching through different pilot projects: First, help students to consolidate the theory of operation; second, trail students the capacity and the ability to solve practical problems. Improve students the curriculum of learning, and promote the formation of students to discover and solve the problem. of the basic quality in training students hands-on ability and ability to innovate, while guiding them to develop the attitude of scientific truth-seeking, the style of rigorous and thorough and the spirit of unity and coordination.

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