• 제목/요약/키워드: Mathematical Game

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Examining the enactment of learning technologies to support learners' access, power, and achievement in elementary school mathematics

  • Drew Polly;Christie S. Martin
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제27권3호
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    • pp.317-334
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    • 2024
  • Technology has potential to support mathematics teaching and learning when technology is used in specific ways. This study examines how the use of mathematics learning technologies (MLTs) promotes students' Access, Power, and Achievement, as defined by Gutiérrez' (2009, 2012) equity-based framework. The article includes two cases that were collected during the authors' time engaging with students in mathematics classrooms through work in elementary school classrooms. The inductive qualitative analysis of data conducted during teaching episodes concluded that teachers' launch of the activities that used MLTs and their support during MLT use influenced students' Access, Power, and Achievement. Specifically, the more support that a teacher provided with direct telling was associated with decreases in Access and Power. There was also evidence of student engagement and Achievement based on teachers' actions during MLT activities. The article concludes with implications to support teachers' enactment of specific pedagogies during the use of MLTs in order to promote Access, Power, and Achievement.

초등학교 수학과 수행평가 실천에 관한 연구 - 자기평가.동료평가.관찰평가를 중심으로 - (A Study on the Practice of Performance Assessment in the Elementary School Mathematics - Focussing on Self-assessment and Peer-observation -)

  • 김송자;최창우
    • 한국초등수학교육학회지
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    • 제10권1호
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    • pp.67-87
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    • 2006
  • 본 연구는 초등학교에서 이루어지는 수행평가 실시에서의 문제점을 인식하고 자기평가, 동료평가 및 관찰평가의 실천을 통하여 평가에 따르는 시간적인 제약을 줄이고, 평가의 결과를 교수 학습계획에 반영시킴으로써 평가를 통한 초등수학과 교수 학습의 개선에 대한 시사점을 찾아보고자 이루어졌다. 이러한 목적을 달성하기 위하여 연구자는 초등학교 2학년 1개 반 학생 40명을 대상으로 자기평가, 동료평가를 실시하고 '재미있는 놀이를 하여 봅시다' 차시의 운영과정에서 관찰평가를 한 학기동안 적용하였으며 평가의 적용과정에서 얻어진 학생들의 자기평가결과물(수학일지, 자기평가지, 평가의 과정에서의 대화내용)과 관찰평가 결과물(체크리스트, 놀이 활동 결과물, 놀이의 과정에서의 대화내용)을 분석해 보았다.

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New idea about realizing automatic collision avoidance on the sea

  • Yao, Jie;Wu, Zhaolin
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2001년도 Proceeding of KIN-CIN Joint Symposium 2001 on Satellite Navigation/AIS, lntelligence , Computer Based Marine Simulation System and VDR
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    • pp.65-74
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    • 2001
  • The rapid development of computer technology and widely application of artificial intelligent provide technology support for realizing navigation automation on the sea. which has achieved great success in shipping advanced countries like japan, England, America, Germany and also in the developing country, China. However, it still remains in the studying Period up to now in aspects of collision avoidance decision-making mathematical model and reasoning mechanism. In this paper, approaches are proposed to establish the collision avoidance automation system. One of them is based on the former studies to realize automation system by make use of finite state machine theory and following the International regulations for Preventing Collision at Sea, 1972. The others are to establish the new idea about automatic collision avoidance system by taking advantage of the free flight idea, hybrid system, game theory used in air traffic management studies in recent years and the common characteristics in both air and sea traffic management.

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A Deep Learning Algorithm for Fusing Action Recognition and Psychological Characteristics of Wrestlers

  • Yuan Yuan;Yuan Yuan;Jun Liu
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제17권3호
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    • pp.754-774
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    • 2023
  • Wrestling is one of the popular events for modern sports. It is difficult to quantitatively describe a wrestling game between athletes. And deep learning can help wrestling training by human recognition techniques. Based on the characteristics of latest wrestling competition rules and human recognition technologies, a set of wrestling competition video analysis and retrieval system is proposed. This system uses a combination of literature method, observation method, interview method and mathematical statistics to conduct statistics, analysis, research and discussion on the application of technology. Combined the system application in targeted movement technology. A deep learning-based facial recognition psychological feature analysis method for the training and competition of classical wrestling after the implementation of the new rules is proposed. The experimental results of this paper showed that the proportion of natural emotions of male and female wrestlers was about 50%, indicating that the wrestler's mentality was relatively stable before the intense physical confrontation, and the test of the system also proved the stability of the system.

Problems of Teaching Pupils of Non-Specialized Classes to Program and Ways to Overcome Them: Local Study

  • Rudenko, Yuliya;Drushlyak, Marina;Osmuk, Nataliia;Shvets, Olha
    • International Journal of Computer Science & Network Security
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    • 제22권1호
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    • pp.105-112
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    • 2022
  • The development and spread of IT-technologies has raised interest in teaching programming pupils. The article deals with problems related to programming and ways to overcome them. The importance of programming skills is emphasized, as this process promotes the formation of algorithmic thinking of pupils. The authors determined the level of pupils' interest to programing learning depending on the age. The analysis has showed that the natural interest of younger pupils in programming is decreasing over the years and in the most productive period of its study is minimized. It is revealed that senior school pupils are characterized by low level of interest in the study of programming; lack of motivation; the presence of psychological blocks on their own abilities in the context of programming; law level of computer science understanding. To overcome these problems, we conducted the second stage of the experiment, which was based on a change in the approach to programing learning, which involved pupils of non-specialized classes of senior school (experimental group). During the study of programming, special attention was paid to the motivational and psychological component, as well as the use of game technologies and teamwork of pupils. The results of the pedagogical experiment on studying the effectiveness of teaching programming for pupils of nonspecialized classes are presented. Improvement of the results provided the use of social and cognitive motives; application of verbal and non-verbal, external and internal means; communicative attacks; stimulation and psychological setting; game techniques, independent work and reflection, teamwork. The positive effect of the implemented methods is shown by the results verified by the methods of mathematical statistics in the experimental and control groups of pupils.

소수(prime) 개념 발전의 역사 분석에 따른 교수학적 논의 (A pedagogical discussion based on the historical analysis of the the development of the prime concept)

  • 강정기
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제33권3호
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    • pp.255-273
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    • 2019
  • 소수의 개념적 측면에 대한 학생들의 이해 부족 현상이 목격되는바 본 연구는 학생들이 소수 개념의 본질을 바르게 이해하도록 돕고자, 소수 개념 발전 역사를 조망하고 교과서의 개념 도입 방법을 분석하였다. 고대 그리스에서 소수는 곱셈 원자였다. 당시 단위는 수가 아니었지만, 소수 표기 개발로 단위가 수로 통합되면서 1의 소수성이 문제시 되었다. 소인수분해의 유일성을 근거로 1이 소수에서 배제되었으며, 이후 발전을 거듭하여 prime 개념과 irreducible 개념이 자리 잡게 되었다. 소수 개념 발전의 역사는 소수가 곧 곱셈 원자라는 사실이 개념의 본질임을 명백히 드러낸다. 교과서 분석 결과, 교과서는 소수 개념을 결정론적 시각 혹은 게임으로 도입하여 개념 본질을 드러내지 못하는 문제, 개념 도입 후 분석적 개념 정의로 급진적 전개가 이루어지는 문제 등이 있었다. 분석 결과에 기초하여 소수의 개념적 면에 주목하도록 돕는 것과 관련하여 몇 가지 교수학적 시사점을 제공하였다.

초등학생의 수학 일기 쓰기 유형 분석 (An Analysis of the Writing Types Elementary School Students Presented in Mathematics Journal)

  • 고상숙;박만구;김정현
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제37권1호
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    • pp.85-104
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    • 2023
  • 본 연구의 목적은 초등학생들의 수학 일기 유형들을 분석하고 학년이 올라가면서 수학 일기에서 어떤 변화를 보이는지를 파악하여 수학교육에서 시사점을 얻는 것이다. 이를 위해 '수학 일기 경진대회'에 제출한 교구수학부문 222편의 자료 중 미성년자 학생과 그 학생의 학부모 동의를 모두 받은 170편의 자료를 대상으로 분석하였다. 수학 일기 유형 분석을 위한 틀은 3명의 연구자 간의 독립적인 분석을 통해 12개의 유형을 도출하였다. 연구 결과 첫째, 초등학생들이 쓴 수학 일기 쓰기의 유형으로 관찰 일기, 문제 만들기, 개념 정리 일기, 복습 일기 등 다양한 일기를 쓴 것으로 나타났다. 또한, 학습 영역으로는 수와 연산 영역과 도형 영역에서 두드러지게 일기 쓰기를 진행하는 것으로 나타났다. 둘째, 수학 일기 쓰기에서 나타난 유형은 학년이 올라갈수록 실험에 의한 관찰일기, 문제만들기, 개념정리일기 등이 눈에 띄게 증가하였고, 소수이지만 아이디어 일기와 설명 일기가 새롭게 나타났으며, 반면 게임을 통한 (승리) 전략 세우기와 같은 유형은 하락하였다. 이는 활동중심 또는 단순한 묘사를 필요로 하는 유형에서 수학적 개념을 적극적으로 적용하는 유형으로 발전하고 있음을 알 수 있다. 이처럼 수학 일기의 유형은 12개 유형으로 분류되었지만 학교 현장에서도 자유롭게 표현할 수 있는 글쓰기에 교구를 적극적으로 활용할 필요가 있겠다.

도입주체에 따른 인터넷경로의 도입효과 (The Impact of the Internet Channel Introduction Depending on the Ownership of the Internet Channel)

  • 유원상
    • 마케팅과학연구
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    • 제19권1호
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    • pp.37-46
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    • 2009
  • The Census Bureau of the Department of Commerce announced in May 2008 that U.S. retail e-commerce sales for 2006 reached $ 107 billion, up from $ 87 billion in 2005 - an increase of 22 percent. From 2001 to 2006, retail e-sales increased at an average annual growth rate of 25.4 percent. The explosive growth of E-Commerce has caused profound changes in marketing channel relationships and structures in many industries. Despite the great potential implications for both academicians and practitioners, there still exists a great deal of uncertainty about the impact of the Internet channel introduction on distribution channel management. The purpose of this study is to investigate how the ownership of the new Internet channel affects the existing channel members and consumers. To explore the above research questions, this study conducts well-controlled mathematical experiments to isolate the impact of the Internet channel by comparing before and after the Internet channel entry. The model consists of a monopolist manufacturer selling its product through a channel system including one independent physical store before the entry of an Internet store. The addition of the Internet store to this channel system results in a mixed channel comprised of two different types of channels. The new Internet store can be launched by the independent physical store such as Bestbuy. In this case, the physical retailer coordinates the two types of stores to maximize the joint profits from the two stores. The Internet store also can be introduced by an independent Internet retailer such as Amazon. In this case, a retail level competition occurs between the two types of stores. Although the manufacturer sells only one product, consumers view each product-outlet pair as a unique offering. Thus, the introduction of the Internet channel provides two product offerings for consumers. The channel structures analyzed in this study are illustrated in Fig.1. It is assumed that the manufacturer plays as a Stackelberg leader maximizing its own profits with the foresight of the independent retailer's optimal responses as typically assumed in previous analytical channel studies. As a Stackelberg follower, the independent physical retailer or independent Internet retailer maximizes its own profits, conditional on the manufacturer's wholesale price. The price competition between two the independent retailers is assumed to be a Bertrand Nash game. For simplicity, the marginal cost is set at zero, as typically assumed in this type of study. In order to explore the research questions above, this study develops a game theoretic model that possesses the following three key characteristics. First, the model explicitly captures the fact that an Internet channel and a physical store exist in two independent dimensions (one in physical space and the other in cyber space). This enables this model to demonstrate that the effect of adding an Internet store is different from that of adding another physical store. Second, the model reflects the fact that consumers are heterogeneous in their preferences for using a physical store and for using an Internet channel. Third, the model captures the vertical strategic interactions between an upstream manufacturer and a downstream retailer, making it possible to analyze the channel structure issues discussed in this paper. Although numerous previous models capture this vertical dimension of marketing channels, none simultaneously incorporates the three characteristics reflected in this model. The analysis results are summarized in Table 1. When the new Internet channel is introduced by the existing physical retailer and the retailer coordinates both types of stores to maximize the joint profits from the both stores, retail prices increase due to a combination of the coordination of the retail prices and the wider market coverage. The quantity sold does not significantly increase despite the wider market coverage, because the excessively high retail prices alleviate the market coverage effect to a degree. Interestingly, the coordinated total retail profits are lower than the combined retail profits of two competing independent retailers. This implies that when a physical retailer opens an Internet channel, the retailers could be better off managing the two channels separately rather than coordinating them, unless they have the foresight of the manufacturer's pricing behavior. It is also found that the introduction of an Internet channel affects the power balance of the channel. The retail competition is strong when an independent Internet store joins a channel with an independent physical retailer. This implies that each retailer in this structure has weak channel power. Due to intense retail competition, the manufacturer uses its channel power to increase its wholesale price to extract more profits from the total channel profit. However, the retailers cannot increase retail prices accordingly because of the intense retail level competition, leading to lower channel power. In this case, consumer welfare increases due to the wider market coverage and lower retail prices caused by the retail competition. The model employed for this study is not designed to capture all the characteristics of the Internet channel. The theoretical model in this study can also be applied for any stores that are not geographically constrained such as TV home shopping or catalog sales via mail. The reasons the model in this study is names as "Internet" are as follows: first, the most representative example of the stores that are not geographically constrained is the Internet. Second, catalog sales usually determine the target markets using the pre-specified mailing lists. In this aspect, the model used in this study is closer to the Internet than catalog sales. However, it would be a desirable future research direction to mathematically and theoretically distinguish the core differences among the stores that are not geographically constrained. The model is simplified by a set of assumptions to obtain mathematical traceability. First, this study assumes the price is the only strategic tool for competition. In the real world, however, various marketing variables can be used for competition. Therefore, a more realistic model can be designed if a model incorporates other various marketing variables such as service levels or operation costs. Second, this study assumes the market with one monopoly manufacturer. Therefore, the results from this study should be carefully interpreted considering this limitation. Future research could extend this limitation by introducing manufacturer level competition. Finally, some of the results are drawn from the assumption that the monopoly manufacturer is the Stackelberg leader. Although this is a standard assumption among game theoretic studies of this kind, we could gain deeper understanding and generalize our findings beyond this assumption if the model is analyzed by different game rules.

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디지털 스포츠 중독의 비선형 거동 해석 (Analysis of Nonlinear Behavior for Addiction in Digital Sport)

  • 배영철
    • 한국전자통신학회논문지
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    • 제12권5호
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    • pp.977-982
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    • 2017
  • 최근에 ICT(information communication technology)의 발달과 더불어 스포츠를 ICT와 융합하고자 하는 노력이 지속되고 있다. 이러한 대표적인 것이 게임을 들 수 있다. 또한 스크린 골프, 스크린 볼링과 같은 스포츠와 디지털을 혼합한 형태의 디지털 스포츠가 발달하고 있다. 일반 스포츠에도 중독 문제가 있듯이 디지털 스포츠에도 중독 문제가 존재한다. 본 논문에서는 디지털 스포츠에서의 중독 모델을 분수차수(fractional-order)로 제시하고 이 모델로부터 비선형 거동을 시계열과 위상 공간으로 나타내고, 이들 사이의 차이점을 확인한다.

Analysis of Revenue-Sharing Contracts for Service Facilities

  • Yeh, Ruey Huei;Lin, Yi-Fang
    • Industrial Engineering and Management Systems
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    • 제8권4호
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    • pp.221-227
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    • 2009
  • There are customer services jointly provided by two facilities so that each customer will complete the course made up of both facilities' sub-services. The two facilities are assumed invested respectively by an infrastructure owner and one subordinate facility owner, whose partnership is built on their capital investments. This paper presents a mathematical model of Stackelberg competition between the two facility owners to derive their optimal Nash equilibrium. In this study, each facility owner's profit is consisted of fixed revenue fractions of sold services, operating costs (including depreciation cost) and maintenance costs of her facility. The maintenance costs of one facility are incurred both by failures and deterioration due to usage. Moreover, for both facilities, failures are rectified immediately by minimal repairs and preventive maintenance is carried out at a fixed time epoch. Additional assumptions are also employed to develop the model such as customer arrivals are manipulated to follow a Poisson process, and each facility's lifetime is independently Weibull-distributed. The Stackelberg game proceeds as follows. At the first stage of decision making process, the infrastructure owner (acting as a leader) decides the allocation of revenue shares based on her self-interest. After observing the allocation of revenue shares, the subordinate facility owner determines her own optimal price of services. This paper investigates actions and reactions of the two partners in the system. Then analytical conditions are proposed to achieve a unique optimal Nash equilibrium. Finally, some suggestions for further research are discussed.