• 제목/요약/키워드: use of mathematical material

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이차곡선 수업에서 공학도구 사용과 수작업 교구 활동에 대한 예비 수학교사들의 인식 (Prospective Mathematics Teachers' Perceptions of the Use of Hands-On Manipulatives and Technological Tools in Teaching Quadratic Curves)

  • 김소민
    • 한국학교수학회논문집
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    • 제24권1호
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    • pp.151-172
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    • 2021
  • 본 연구에서는 이차곡선 지도 방안으로써 수작업 교구인 Wax-paper를 이용한 활동과 공학도구인 GeoGebra를 이용한 활동에 대한 예비 수학교사들의 인식을 조사하였다. 수도권 소재의 한 사범대학 수학교육과 학부생 20명을 대상으로 이차곡선에 대한 교구와 공학도구 활용 수업을 진행한 후, 두 가지 수업 방법에 대한 인식 설문조사를 시행하였다. 본 연구 결과에 따르면, 예비 수학교사들은 이차곡선 학습 및 지도에서 전반적으로 공학도구의 활용을 선호했으며, 공학도구의 활용이 시각화를 통해 직관적 사고에 도움이 되며, 다양한 수학적 성질 탐구를 가능하게 함으로써 개념 이해와 흥미 유발에 도움을 준다고 생각하였다. 그러나 학생 또는 교사의 미숙한 공학도구 사용에 대한 우려를 지속적으로 나타냈으며, 예비 수학교사들이 인식한 교구와 공학도구 활용의 장단점은 상호보완적이었다. 이와 같은 연구 결과를 토대로 수학수업에서 각 교구와 공학도구가 가진 특성에 맞게 상호보완적으로 활용하길 제안하며, 학생 또는 교사의 공학도구 사용 능력에 영향을 받지 않는 수업자료의 개발 및 보급이 필요하다는 시사점을 제시한다.

'수학 과제 탐구' 과목의 수업을 위한 교수·학습 자료 개발 연구 (A Study on Development of Teaching and Learning Materials for 'Mathematics Project Inquiry Subject')

  • 천선빈;이종학;김원경
    • 한국수학교육학회지시리즈A:수학교육
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    • 제56권3호
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    • pp.319-340
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    • 2017
  • The purpose of this study is to develop teaching and learning materials for the mathematics project inquiry subject. Since this subject is newly opened in the 2015 revised mathematics curriculum, there are no textbooks and materials. Hence it is required to help teachers plan lessons of the mathematics project inquiry subject. For this study, developing directions and objectives are established. Ten hours of lesson plan and teaching and learning materials are also developed for the two themes of 'big data' and 'industrial mathematics'. Suitability and validity of the developed material are verified positively from a survey of 8 teachers and 2 professionals. The detailed result findings are as follows. First, teaching and learning notes are suggested for each lesson plan. They are comprised of building inquiry plan, doing inquiry, summarizing results, and presentation. Second, driving questions of each theme are developed as "What is the big data and where is it used for ?" and "How various is the use of the industrial mathematics ?" respectively. Third, poster-types of each project product are developed. Fourth, three inquiry activity sheets and examples which are theme selection, inquiry plan, and group activity are developed. Fifth, 4 assessment sheets of self, peer, group, and teacher-use are developed.

학교수학에서 '피타고라스 정리' 관련 내용의 재구조화 연구 (A Study on Reorganization of 'Pythagorean Theorem' in School Mathematics)

  • 서보억
    • 한국수학교육학회지시리즈A:수학교육
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    • 제57권2호
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    • pp.93-110
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    • 2018
  • One of the biggest changes in the 2015 revised mathematics curriculum is shifting to the second year of middle school in Pythagorean theorem. In this study, the following subjects were studied. First, Pythagoras theorem analyzed the expected problems caused by the shift to the second year middle school. Secondly, we have researched the reconstruction method to solve these problems. The results of this study are as follows. First, there are many different ways to deal with Pythagorean theorem in many countries around the world. In most countries, it was dealt with in 7th grade, but Japan was dealing with 9th grade, and the United States was dealing with 7th, 8th and 9th grade. Second, we derived meaningful implications for the curriculum of Korea from various cases of various countries. The first implication is that the Pythagorean theorem is a content element that can be learned anywhere in the 7th, 8th, and 9th grade. Second, there is one prerequisite before learning Pythagorean theorem, which is learning about the square root. Third, the square roots must be learned before learning Pythagorean theorem. Optimal positions are to be placed in the eighth grade 'rational and cyclic minority' unit. Third, Pythagorean theorem itself is important, but its use is more important. The achievement criteria for the use of Pythagorean theorem should not be erased. In the 9th grade 'Numbers and Calculations' unit, after learning arithmetic calculations including square roots, we propose to reconstruct the square root and the utilization subfields of Pythagorean theorem.

휨 하중을 받는 재생 PET 폴리머 콘크리트의 인장크리프 모델 (Tension Creep Model of Recycled PET Polymer Concrete with Flexural Loading)

  • 채영석;태기호
    • 한국안전학회지
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    • 제27권5호
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    • pp.117-125
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    • 2012
  • In recent years, polymer concrete based on polyester resin have been widely generalized and the research of polymer concrete have been actively pursued by the technical innovations. Polymer concrete is a composite consisting of aggregates and an organic resin binder that hardens by polymerization. Polymer concrete are stronger by a factor of three or more in compression, a factor of four to six in tension and flexural and a factor of two in impact when compared with portland cement concrete. In view of the growing use of polymer concrete, it is important to study the physical characteristics of the material, emphasizing the short term properties as well as long term mechanical behavior. If polymer concrete is to be used in flexural load-bearing application such as in beam, it is imperative to understand the deformation of the material under sustained loading conditions. This study is proposed to empirical and mechanical model of polymer concrete tension creep using long-term experimental results and mathematical development. The test results showed that proposed model has been used successfully to predict creep deformations at a stress level that was 20 percent of the ultimate strength and viscoelastic behavior of recycled-PET polymer concrete is linear of stress level up to 30 percent. It is expected that the present model allows more realistic evaluation of varying stresses in polymer concrete structures with a constant loading.

하이드로포밍 응용을 위한 벤딩튜브의 스프링백 특성 (Springback Characteristics of Bent Tubes for Hydroforming Applications)

  • 이호국;박성호
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2006년도 제5회 박판성형 SYMPOSIUM
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    • pp.45-48
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    • 2006
  • Recently, the use of tubular hydroforming technology has seen increased usage and increased consideration for wide range of tubular automotive applications. In manufacturing hydroformed parts, bending and pre-forming operations are often required prior to the hydroforming process. Higher bending quality of bent tubes is crucial for the successful hydroforming operation because most of plastic strains and wall thinning at the extrados of bend area occur in the bending operation. Springback is also observed due to elastic recovery of tube material after bending. Proper correction of springback is required not only to well place the bent tube into a hydroforming die cavity but also to avoid pinching when the upper die is brought down to closing position. Therefore, prediction of springback at early development stage is one of the key factors to produce high quality hydroformed parts. In this study, a variety of bending experiments has been carried out to investigate springback amount under change in bending angle and material boosting. Throughout the experimental approach, springback characteristics of bent tubes are quantified according to the change in various bending parameters, and a mathematical model to predict correction amount of springback to a given bend angle is found.

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CAPD기법을 이용한 부분방전 현상 해석에 관한 연구 (Analysis of Partial Discharge Phenomena by means of CAPD)

  • 김성홍
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2002년도 하계학술대회 논문집 Vol.3 No.2
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    • pp.939-944
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    • 2002
  • PD phenomena can be regarded as a deterministic dynamical process where PD should be occurred if the local electric field be reached to be sufficiently high. And thus, its mathematical model can be described by either difference equations or differential equations using several state variables obtained from the time sequential measured data of PD signals. These variables can provide rich and complex behavior of detectable time series, for which Chaos theory can be employed. In this respect, a new PD pattern recognition method is proposed and named as 'Chaotic Analysis of Partial Discharges (CAPD)' for this work. For this purpose, six types of specimen are designed and made as the models of the possible defects that may cause sudden failures of the underground power transmission cables under service, and partial discharge signals, generated from those samples, are detected and then analyzed by means of CAPD. Throughout the work, qualitative and quantitative properties related to the PD signals from different defects are analyzed by use of attractor in phase space, information dimensions ($D_0$ and D2), Lyapunov exponents and K-S entropy as well. Based on these results, it could be pointed out that the nature of defect seems to be identified more distinctively when the CAPD is combined with traditional statistical method such as PRPDA. Furthermore, the relationship between PD magnitude and the occurrence timing is investigated with a view to simulating PD phenomena.

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집중질량 모형화에 의한 점탄성재료의 복소 탄성계수 산출을 위한 시편 크기 의 절정 (Determination of Specimen Geomery for Estimation of the Complex Modulus of Viscoelas the Materials by the Lumped Mass Model)

  • 강기호;심송;김광준
    • 소음진동
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    • 제1권2호
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    • pp.121-128
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    • 1991
  • In order to use viscoelastic materials efficiently for noise and vibration control, or th qualify newly developed materials, knowledge of the Young' s modulus and loss factor is essemtial. These material properties, the so-called complex Young' s modulus, are frequently treated as dynamic charicteristics because of their dependence upon the frequency. Many techniques have been developed and verified for measuring complex Young' s modulus of viscoelastic materials. Among them, the impedance method is preferable in order to obtain the frequency information in detail. In this method, a cylindrical or prismatic specimen is excited into longitudinal harmonic vibration at one end, the other being fixed, and the resulting force is measured at the driving or fixed end. The amplitude ratio of the two signals and phase angle between them are then used to compute the material properties using various mathematical models. In this paper, the impedance method is investigated theoretically and experimentally. A way to determine the specimen geometry which is most appropriate for the identification of complex Young' s modulus using the lumped mass model is presented and discussed. Then experimental results supporting the theoretical predictions are presented.

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Developed and implementation of a knowledge acquisition methodology for seed material processing expert systems

  • Arkhipova, Paper I.
    • 한국농업기계학회:학술대회논문집
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    • 한국농업기계학회 1996년도 International Conference on Agricultural Machinery Engineering Proceedings
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    • pp.679-684
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    • 1996
  • The work was aimed at realize the problem of seed processing . Solving this problem it was ascertained that the existing mathematical methods are reliable enough, but they are used practically very seldom. The work offers to use the expert system technology which allows to solve problems connected with practical knowledge of experts in the region of investigation effectively. The method of knowledge structuring and analizing as well as technique of knowledge acquisition which is necessary for realization of this technology are worked-out in the work. As the result applying the worked-out method the prototypes of the expert system (ES) are created : -ES " Sieves " ; research prototype for the sieve choice for the seed sorting machines -ES " Diagnostics " ; displaying prototype for the technological determination of action disrepair of seed sorting machines.

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Using Hierarchical Performance Modeling to Determine Bottleneck in Pattern Recognition in a Radar System

  • Alsheikhy, Ahmed;Almutiry, Muhannad
    • International Journal of Computer Science & Network Security
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    • 제22권3호
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    • pp.292-302
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    • 2022
  • The radar tomographic imaging is based on the Radar Cross-Section "RCS" of the materials of a shape under examination and investigation. The RCS varies as the conductivity and permittivity of a target, where the target has a different material profile than other background objects in a scene. In this research paper, we use Hierarchical Performance Modeling "HPM" and a framework developed earlier to determine/spot bottleneck(s) for pattern recognition of materials using a combination of the Single Layer Perceptron (SLP) technique and tomographic images in radar systems. HPM provides mathematical equations which create Objective Functions "OFs" to find an average performance metric such as throughput or response time. Herein, response time is used as the performance metric and during the estimation of it, bottlenecks are found with the help of OFs. The obtained results indicate that processing images consumes around 90% of the execution time.

다구찌 방법을 이용한 폴리아세탈 수지 절삭조건 결정 (An Optimal Parameter Design of Polyacetal Resin Cutting Experiment Using Taguchi Method)

  • 조용욱;박명규;김희남
    • 대한안전경영과학회지
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    • 제3권1호
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    • pp.117-125
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    • 2001
  • Polyacetal resin is usually used to make molds, but it is difficult to achieve dimension accuracy during molding. Therefore it is usually necessary to cut the polyacetal resin after a molding process. Polyacetal resin is easily machining by standard machine tool. Acetal is also a thermal stable material which can be totted without coolant Another concern about the use of polyacetal resin is that it absorbs water easily, which also results in problems with dimension accuracy Therefore, in this study, the cutting resistance of water-absorbed polyacetal resin and its surface roughness after cutting in order to achieve the highest degree of accuracy in the cutting of polyacetal resin were investigated. Also, The Robust Design method uses a mathematical tool called orthogonal arrays to study a large number of decision variables with a small number of experiments. It also uses a new measure of quality, called signal-to-noise (S/N) ratio, to predict the quality from the customer's perspective. Thus, we have taken Taguchi's parameter design approach, specifically orthogonal array, and determined the optimal levels of the selected variables through analysis of the experimental results using S/N ratio.

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