• Title/Summary/Keyword: Mathematical communication

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A Study on the Understanding of Height Concept of Figures of Sixth Grade Students of Elementary Schools (초등학교 6학년 학생들의 도형의 높이 개념 이해에 대한 연구)

  • Im, Seung-Hyun;Park, Young-Hee
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.1
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    • pp.141-159
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    • 2011
  • The purpose of the present research is to suggest implications on guidance of height concept understanding of figures by investigating concept understanding how sixth grade's elementary school students understand a height concept of figures. In order to achieve this research purpose, a height concept understanding test of figures was carried out with the target of 54 sixth grade students who already learned a height concept of plane figures and three-dimensional solid figures and thus this research analyzed characteristics and errors appeared there. When analyzing its characteristics and errors interviews with students were carried out for in-depth analysis. And as a result the following implications could be obtained. First, students felt more difficulty in measuring height in a figure that its lower base is not horizontal in questions measuring height of a plane figure. Second, there were cases that students associate a height concept of figures with experience of height experienced in daily life. Third, students were feeling difficulty in linguistically expressing a concept called height that oneself has. Expressing a concept linguistically plays an important role in understanding a concept clearly. Accordingly activities for raising this mathematical communication ability are required, Fourth, the present research can suggest implications in designing classes that students can clearly understand the height concept of figures.

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A Note on Some Characteristics of Number Teaching in the Primary School of New Zealand (뉴질랜드 초등학교에서의 수지도에서 나타나는 몇 가지 특징에 관한 고찰)

  • Choi, Chang-Woo
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.3
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    • pp.843-863
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    • 2010
  • The basic purpose of 2007 revision curriculum is content of activity oriented, management of differentiated instruction, communication, introduction of story mathematics, mathematical exploration and problem solving ability and so on. In this paper, we investigate some characteristics of number teaching in the primary school of New Zealand. Especially, focused on materials and methods and so on. So we've got the following results. First, there are no fundamental differences in materials and methods in teaching number between Korea and New Zealand but in New Zealand there are no national textbook like us so there is a possibility not to teach number systematically like our Korea. On the contrary, they divide number region from one to six level and are offering achievement objects, suggestive learning experiences, sample assessment activities for each level and also they do not guide activities itself in detail like us and so have learners themselves think about the given problems. Second, there is a strategy stage in getting knowledge about number in New Zealand and so children can take advantage of this steps according to the type of problems. Third, it must be developed some materials and idea to reach the learning purpose rousing interest of children.

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A Survey Research of Mathematics Educators' and Mathematicians' Preference on Journals (수학교육학과 수학 연구자들의 학술지 선호 경향에 대한 조사 연구)

  • Park, Kyungmee
    • Journal of Educational Research in Mathematics
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    • v.23 no.4
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    • pp.423-448
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    • 2013
  • The journals provide an academic arena for researchers in specific academic field, and play a crucial role in the process of formation and development of the academic field. The main purpose of this research was to investigate the familiarity, reputation, applicability, and preference of mathematics education journals. For this purpose, a survey was conducted for mathematics educators. As a result, the three journals , , and were notably preferred by mathematics educators, and the scores of familiarity, reputation, applicability, and preference were almost synchronized. On the other hand, mutual preference of mathematics education, mathematics, and education journals is an indicator of the communication among related academic fields. However, mathematics education researchers showed little preference toward mathematics and education journals, and vice versa.

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An Analytic Model for the Optimal Number of Relay Stations in IEEE 802.16j Cooperative Networks (IEEE 802.16j 협력 전송 네트워크에서 최적의 중계국 수를 위한 분석 모델)

  • Jin, Zilong;Cho, Jin-Sung
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.36 no.9A
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    • pp.758-766
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    • 2011
  • Cooperative communications are adopted as a promising solution to achieve high data rate over large areas in the future 40 wireless system and the relay station (RS) is the key concept in cooperative communications. However, most existing works in this area focus only on optimal RS selections. In addition, there are only few works consider another crucial issue: how many relay stations we need to place. Only when the number of relay stations is defined, the relay station selection can be performed well. In this paper we derive a formula which describes the impact of varying number of RS on end-to-end link throughput assuming a clustering scheme which is based on Voronoi tessellation. In addition to mathematical analysis on the feasibility of the formula, we also examine its performance through a set of simulations under the Erceg path loss model. Simulation results verify that the link throughput gain of our proposed scheme is promising.

Fault Diagnosis Method for Automatic Machine Using Artificial Neutral Network Based on DWT Power Spectral Density (인공신경망을 이용한 DWT 전력스펙트럼 밀도 기반 자동화 기계 고장 진단 기법)

  • Kang, Kyung-Won
    • Journal of the Institute of Convergence Signal Processing
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    • v.20 no.2
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    • pp.78-83
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    • 2019
  • Sounds based machine fault diagnosis recovers all the studies that aim to detect automatically abnormal sound on machines using the acoustic emission by these machines. Conventional methods that use mathematical models have been found inaccurate because of the complexity of the industry machinery systems and the obvious existence of nonlinear factors such as noises. Therefore, any fault diagnosis issue can be treated as a pattern recognition problem. We propose here an automatic fault diagnosis method of hand drills using discrete wavelet transform(DWT) and pattern recognition techniques such as artificial neural networks(ANN). We first conduct a filtering analysis based on DWT. The power spectral density(PSD) is performed on the wavelet subband except for the highest and lowest low frequency subband. The PSD of the wavelet coefficients are extracted as our features for classifier based on ANN the pattern recognition part. The results show that the proposed method can be effectively used not only to detect defects but also to various automatic diagnosis system based on sound.

Performance Analysis of Two-Location Distance-based Registration in Mobile Communication Network (이동통신망에서 이중영역 거리기준 위치등록의 성능 분석)

  • Suh, Jae-Joon;Luo, Yong;Baek, Jang-Hyun
    • Journal of the Korea Society for Simulation
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    • v.17 no.4
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    • pp.41-50
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    • 2008
  • In this study, an improved scheme for distance-based registration (DBR) is proposed and its performance is analyzed. In the DBR, when a mobile station (MS) enters a new cell, it calculates the distance between last registered cell and current cell and registers its location if the distance reaches reference distance D. In this study, two-location DBR (TDBR) is proposed to improve the performance of the DBR. In the TDBR, an MS stores not only last registered location area (LA) but also previously registered LA, and then no registration is needed when the MS crosses two LAs stored already. However, since the TDBR may increase paging cost, trade-off is necessary between decreased registration cost and increased paging cost. In this study, the performances of two schemes are analyzed and compared using 2-dimensional random walk mobility model in hexagonal cell configuration. We show that our mathematical analysis is accurate by comparing with simulation. From the numerical results for various circumstances, it is shown that our proposed TDBR outperforms current DBR in most cases.

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Logical Modeling of Base System Model for Tank Engagement Simulation (전차 교전 시뮬레이션을 위한 기본체계모델의 논리 모델링 방법)

  • Lee, Sunju
    • Journal of the Korea Society for Simulation
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    • v.29 no.2
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    • pp.63-72
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    • 2020
  • Tank, which is a representative ground weapon system, is one of the most important weapon systems in each country. For the cost-effective acquisition of a tank based on scientific analysis, the operational concept and effectiveness should be studied based on engagement simulation technology. Besides physical capabilities including maneuver and communication, logical models including decision-making of a tank commander should be developed systematically. This paper describes a method to model a tank for engagement simulation based on Base System Model(BSM), which is the standard architecture of the weapon system model in AddSIM, an integrated engagement simulation software. In particular, a method is proposed to develop logical models by hierarchical and modular approach based on human decision-making model. The proposed method applies a mathematical formalism called DEVS(Discrete EVent system Specification) formalism. It is expected that the proposed method is widely used to study the operational concept and analyze the effectiveness of tanks in the Korean military in the future.

Resilient Routing Protocol Scheme for 6LoWPAN (6LoWPAN에서 회복력 있는 라우팅 프로토콜 기법)

  • Woo, Yeon Kyung;Park, Jong Tae
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.11
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    • pp.141-149
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    • 2013
  • IETF 6LoWPAN standard technique has been studied in IoT environment to support the IPv6 packet communication. 6LoWPAN protocol for transmission of packets mainly in the AODV routing protocol and a variety of extended techniques have been investigated. In particular, consisting of nodes with limited resources in a network error occurs when the 6LoWPAN reliable data transfer and fast routing method is needed. To this end, in this paper, we propose resilient routing protocol and extension of IETF LOAD algorithm, for optimal recovery path, More specifically, the optimal recovery path setup algorithm, signal flow, and detailed protocols for the verification of the reliability of packet transmission mathematical model is presented. The proposed protocol techniques to analyze the performance of the NS-3 performance through the simulation results that is end-to-end delay, throughput, packet delivery fraction and control packet overhead demonstrated excellence in comparison with existing LOAD.

Construction of Sequential Digital Systems over Finite Fields (유한체상의 순차디지털시스템 구성)

  • Park, Chun-Myoung
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.14 no.12
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    • pp.2724-2729
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    • 2010
  • This paper presents a method of constructing the sequential digital systems over finite fields. We assign all elements in finite fields to digit codes using mathematical properties of finite fields. Also, we discuss the operational characteristics and properties of the building block T-gate which is used to implement the sequential digital systems over finite fields. Then, we implemented sequential digital systems without feed-back. The sequential digital systems without feed-back is constructed as following steps. First, we assign the states in state-transition diagram to state digit codes, then obtain the state function and predecessor table which is explaining the relationship between present states and previous states. Next, we obtained the next-state function from state function and predecessor table. Finally we realize the circuit using T-gate and decoder. The proposed method is more efficiency and systematic than previous method.

Rotational Antenna based Clutter Imaging Algorithm in Helicopter Landing Mode (헬리콥터에 장착된 회전 안테나를 이용한 착륙지형의 이미지 생성 기법)

  • Bae, Chang-Sik;Jeon, Hyeon-Mu;Kim, Jae-Hak;Yang, Hoon-Gee
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.20 no.10
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    • pp.1860-1866
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    • 2016
  • Helicopter-related collision accidents with structures mostly occur at landing, especially in a limited visibility environment, which necessitates some secondary equipment like a radar that can generate stationary clutter image. In this paper, we propose an algorithm that makes an image of stationary ground clutter in two dimensional range and azimuth angle domain. We present a mathematical model for the received signals from each clutter patch in the iso range ring and analyze their clutter and Doppler characteristics, assuming that a helicopter-borne radar has a rotational antenna. We propose a filter structure, which suppresses side lobe signal components while extracting a main lobe signal component, and suggest a solution for a problem stemmed from the filtering process. Finally, by conducting a simulation we show the performance of the suggested imaging algorithm on a two dimensional virtual scenario of the topographic clutter.