• 한국수학교육학회지시리즈D:수학교육연구
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• 제26권3호
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• pp.167-202
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• 2023

A central problem of mathematics teaching worldwide is probably the insufficient adaptive handling of tasks-especially in computational practice phases and modeling tasks. All students in a classroom must often work on the same tasks. In the process, the high-achieving students are often underchallenged, and the low-achieving ones are overchallenged. This publication uses different modeling of the tennis serve as an example to show a possible solution to the problem and develops and discusses one adaptive task each for middle school, high school, and college using three mathematical models of the tennis serve each time. From model to model within the task, the complexity of the modeling increases, the mathematical or physical demands on the students increase, and the new modeling leads to more realistic results. The proposed models offer the possibility to address heterogeneous learning groups by their arrangement in the surface structure of the so-called parallel adaptive task and to stimulate adaptive mathematics teaching on the instructional topic of mathematical modeling. Models A through C are suitable for middle school instruction, models C through E for high school, and models E through G for college. The models are classified in the specific modeling cycle and its extension by a digital tool model, and individual modeling steps are explained. The advantages of the presented models regarding teaching and learning mathematical modeling are elaborated. In addition, we report our first teaching experiences with the developed parallel adaptive tasks.

• Advances in nano research
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• 제14권2호
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• pp.179-193
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• 2023

Physical activities enhance blood flow in the vessels, which may increase the quality of medicine delivery. The emergence of revolutionary technologies such as nanoscience, made it possible to treat the incurable illnesses such as cancer. This paper investigates the impact of sport and physical exercises on the quality and quantity of the drug-delivery based on the mathematical modeling of a nanomotor made by nanotubes carrying the nano-drug capsules. Accordingly, the mathematical equations of rotating nanomotor are generated by considering the both of higher-order beam model and nonlocal strain gradient model, as a comprehensive continuum theory. Next, through the generalized differential quadrature together with Newmark-beta methods, the differential relations are discretized and solved. Finally, the impact of varied parameters on the dynamical behavior of the nanomotor is examined in detail. The outcomes of this investigation can be useful to achieve an excellent design of nanomotors carrying nano-drugs.

• Advances in concrete construction
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• 제16권4호
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• pp.189-203
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• 2023

This study investigates the bending and stability properties of cylindrical constructions, with a focus on their use in the design and implementation of sporting equipment. The work focuses on a cylindrical construction resembling nanomotors, similar to components seen in sports equipment, using mathematical modeling based on high-order beam theory and nonlocal strain gradient theory. The analysis provides important insights into the dynamic behavior of these systems, revealing light on the impact of numerous factors such as rotational velocity, section change rate, and structural dimensions. The results show a relationship between angular velocity growth and section change rate, which leads to an increase in fundamental frequency values. Furthermore, the research emphasizes the effect of structural factors on dynamic deflection, giving critical information for increasing the stability and performance of sporting equipment. This study adds to the area of sports engineering by providing a more nuanced understanding of how cylindrical constructions react under diverse settings. The results will help to guide the design and manufacturing processes of sports equipment, assuring improved stability and performance for players across a wide range of sports.

• Earthquakes and Structures
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• 제23권6호
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• pp.535-547
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• 2022

Handball sport, as its name postulates, is a team sport which highly physical workout. During a handball play, several ball impacts are applied on the hands resulting vibration in the forearm, upper arm, shoulders and in general in whole body. Hand has important role in the handball's game. So, understanding about the dynamics and some issues that improve the stability of the hand is important in the sport engineering field. Ulna and radius are two parallel bones in lower arm of human hand which their ends are located in elbow and wrist joint. The type of the joint provides the capability of rotation of the lower arm. These two bones with their ends conditions in the joints constructs a 4-link frame. The ulna is slightly thinner than radius. So, understanding about hand kinematics in handball's game is an important thing in the engineering field. So, in the current work with the aid of a multi-physics simulation, dynamic stability analysis of the ulna and radius bones will be presented in detail.

• Structural Engineering and Mechanics
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• 제83권5호
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• pp.681-692
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• 2022

The vibrational response of the two bones in a Volleyball player's arm under ball impact is conducted. The two bones in hand, Ulna and Radius, are modeled as two cylindrical shells. The formulations associated with the shells' vibration are obtained using the energy method. Then, the results are extracted with the aid of the two-dimensional form of DQM in conjunction with Runge-Kutta. The results are validated by means of a published paper. Lastly, the role of parameters in determining vibrational frequency as well as deflection is explored through parametric studies. It was shown that the impactor speed and the time of the impact could be essential factors in determining the vibration behavior of the bones. This work can be used in the further investigation of the behavior of bones and physiological structures.

• 한국게임학회 논문지
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• 제10권3호
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• pp.61-71
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• 2010

본 연구에서는 사회통계학적 분류 또는 게임 장르 구분에 따른 온라인 게임의 이용특성을 분석하였다. 기존의 유사 연구 사례에서는 주로 설문에 의한 접근 방법을 사용하였으나, 본 연구에서는 실제 게임 접속 기록에 대한 객관적인 데이터 분석을 수행하였고, 일부 요인의 분석을 위해서는 모수적 모델링 및 수리적 접근 방법을 사용하였다. 본 연구에서 제시한 가설의 검정 결과, 다음과 같은 사실이 확인되었다. 온라인 게임 이용 인구는, 성별 기준으로 남자>여자, 직업분류에서는 학생>화이트칼라>주부>블루칼라>자영업>무직/기타, 학력 기준에서는 대졸>초중고생>고졸>대학(원)생, 월 소득 수준별 구분에서는 300∼500만>100∼300만>500만이상>100만(원) 미만, 그리고 결혼여부에 있어서는 미혼자>기혼자의 관계가 성립되었다. 장르 구분에서는 웹보드>RPG>시뮬레이션>(액션, 레이싱, 슈팅)>스포츠 순으로 이용자가 많았고, 최대동시접속자 측면에서는 RPG가 타 장르보다 MCR(Max Concurrent User Ratio)이 높은 것으로 확인되었다, 한편, 장르별 지속이용율의 차이에 대한 가설은 기각되었다. 온라인 게임의 이용 인구 구성에 있어서 성별${\times}$연령, 장르${\times}$성별, 장르${\times}$연령의 상호작용의 존재가 확인되었고, 이들 각 상호작용에 대하여 사후분석을 수행하여 그 결과를 제시하였다.