• Title/Summary/Keyword: Mathematical concept

Search Result 1,406, Processing Time 0.03 seconds

A WDM Based Multichannel All-Optical Ring Network (파장 분할 다중화에 의한 다 채널 광 링 통신망의 성능 분석)

  • 박병석;강철신;신종덕;정제명
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.19 no.1
    • /
    • pp.159-169
    • /
    • 1994
  • A multichannel optical slotted ring network is designed using a wavelength division multiplexing(WDM) technique and photonic packet switching devices. The electronics speed bottleneck is removed out of the ring, which allows utilization of the full bandwidth for the optical fiber transmission medium. The ring channel adopts a slotted ring concept with a destination cell remove strategy for the eing access mechanism. The slot size in the ring is selected as the same as that of ATM based cell in order to be used as B-ISDN Access Networks. In this paper, we devised a mathematical method to measure the average transfer delay characteristics of the network. The analytical method turned out to yield accurate results over a broad range of parameters in comparison to simulation results. From the study, we observed the average transfer delay of the network as the network parameters vary.

  • PDF

An Analysis of the Vector and Inner Product Concepts in Geometry and Vector Curriculum ('기하와 벡터' 교육과정의 벡터와 내적 개념 분석)

  • Shin, BoMi
    • Journal of the Korean School Mathematics Society
    • /
    • v.16 no.4
    • /
    • pp.841-862
    • /
    • 2013
  • This study analyzed issues in the mathematics curriculum concerning the cognitive development of the vector and inner product concepts in the light of Tall's and Watson's research(Tall, 2004a; Tall, 2004b; Watson et al., 2003; Watson, 2002). Some suggestions in teaching the vector and inner product concepts were elaborated in the terms of these analyses. First, the position vector needs to be represented by an arrow on the coordinate system in order to introduce the component form of a vector represented by a directed line segment. Second, proofs of the vector operation law should be carried out by symbolic manipulations based on the algebraic concept of a vector in the symbolic world. Third, it is appropriate that the inner product is defined as $\vec{a}{\cdot}\vec{b}=a_1b_1+a_2b_2$ (when, $\vec{a}=(a_1,a_2)$, $\vec{b}=(b_1,b_2)$) when it comes to considering the meaning of the inner product relevant to vector space in the formal world. Cognitive growth of concepts of the vector and inner product can be properly induced through revising explanation methods about the concepts in the curriculum in the basis of the above suggestions.

  • PDF

Children's Proportional Reasoning on Problem Type of Proportion according to Ill-Structured Degree (비(非)구조화된 정도에 따른 비례 문제 유형에서 나타난 초등학생의 비례추론에 관한 연구)

  • Kim, Min Kyeong;Park, Eun Jeung
    • Journal of the Korean School Mathematics Society
    • /
    • v.16 no.4
    • /
    • pp.719-743
    • /
    • 2013
  • Proportional reasoning is considered as a difficult concept to most elementary school students and might be connect to functional thinking, algebraic thinking, and mathematical thinking later. The purpose of this study is to analyze the sixth graders' development level of proportional reasoning so that children's problem solving processes on different proportional problem items were investigated in a way how the problem type of proportion and the degree of ill-structured affect to their levels. Results showed that the greater part of participants solved problems on the level of proportional reasoning and various development levels according to type of problem. In addition, they showed highly the level of transition and proportional reasoning on missing value problems rather than numerical comparison problems.

  • PDF

Development of Meta Problem Types to Improve Problem-solving Power (문제 해결력 신장을 위한 베타 문제 유형 개발)

  • 현종익
    • Education of Primary School Mathematics
    • /
    • v.2 no.1
    • /
    • pp.3-13
    • /
    • 1998
  • In mathematics education we have focused on how to improve the problem-solving ability, which makes its way to the new direction with the introduction of meta-cognition. As meta-cognition is based on cognitive activity of learners and concerned about internal properties, we may find a more effective way to generate learners problem-solving power. Its means that learners can regulate cognitive process according to their gorls of learning by themselves. Moreover, they are expected to make active participation through this process. If specific meta problems designed to develop meta-cognition are offered, learners are able to work alone by means of their own cognition and regulation while solving problems. They can transfer meta-cognition to the other subjects as well as mathematics. The studies on meta-cognition conducted so far may be divided into these three types. First in Flavell([3]) meta-cognition is defined as the matter of being conscious of one's own cognition, that is, recognizing cognition. He conducted an experiment with presschoolers and children who just entered primary school and concluded that their cognition may be described as general stage that can not link to specific situation in line with Piaget. Second, Brown([1], [2]) and others argued that meta-cognition means control and regulation of one's own cognition and tried to apply such concept to classrooms. He tried to fined out the strategies used by intelligent students and teach such types of activity to other students. Third, Merleary-Ponty (1962) claimed that meta-cognition is children's way of understanding phenomena or objects. They worked on what would come out in children's cognition responding to their surrounding world. In this paper following the model of meta-cognition produced by Lester ([7]) based on such ideas, we develop types of meta-cognition. In the process of meta-cognition, the meta-cognition working for it is to be intentionally developed and to help unskilled students conduct meta-cognition. When meta-cognition is disciplined through meta problems, their problem-solving power will provide more refined methods for the given problems through autonomous meta-cognitive activity without any further meta problems.

  • PDF

The Study of Three-wheel with Active Tilt Control(ATC) Systems in Design - Concentrated on Three Wheel Motor Bike (틸팅시스템을 적용한 삼륜차량 디자인 연구 - 삼륜 스쿠터를 중심으로 -)

  • 곽용민;안철홍
    • Archives of design research
    • /
    • v.16 no.1
    • /
    • pp.15-24
    • /
    • 2003
  • In the latest date, vehicles are offered to the drivers, not only the skill for shifting but the pleasure for driving vehicles that are existing today can be a social problem because the amount of vehicles that are increasing give difficulty for the traffic facilities and parking expansion. these day 80% of four wheeled vehicle carriers single or double person the reducing car scale is an important thing about the financial good use resources of energy and the storage of environment. A solution for these problem is a new general idea vehicle development for one or two person to ride. For the sake of these reasons, first, the information is collected and analyzed about existing foreign countries production. Car external design is intended by mathematical modeling, simulation and model testing about frame system of new concept specially we would like to show three wheeled vehicle that has active tilt control(ATC) system. This car tilts actively by the center rotation wheel and frame when the vehicle turns.

  • PDF

Analysis of Pre-service Elementary School Teachers' Responses to MKT Applying Task - Focused on Kite (MKT 적용과제에 나타난 초등예비교사의 반응 고찰 - 연꼴을 중심으로)

  • Kwon, Sung-Yong
    • School Mathematics
    • /
    • v.14 no.2
    • /
    • pp.255-274
    • /
    • 2012
  • The purpose of this study was to investigate the responses of pre-service elementary school teachers to the task that require to apply mathematics knowledge for teaching and from this investigation to draw some conclusions about teacher education. To do the study, task was to develop teaching materials and devise lesson plan for introducing the concept of plain figure 'kite'. For gathering data, 77 pre-service elementary school teachers were selected from the University of Education located in G city. Several conclusions were drawn as follow: first, task for applying MKT is needed to check whether pre-service teachers can apply. Second, assessment is needed to check what kind of MKT do pre-service elementary school teachers have.

  • PDF

Instruction of Statistical Independence Based on Intuitions Classified by Fischbein (Fischbein의 직관에 기초한 독립성에 관한 확률지도)

  • Cho, Cha-Mi
    • School Mathematics
    • /
    • v.10 no.3
    • /
    • pp.319-337
    • /
    • 2008
  • Intuitions in independence formed by common language help and also hinder the establishment of new conceptual system about independence as a mathematical term. Intuitions which entail such conflicts can be a driving force in explaining independence but at the same time, it is the impedimental factor causing a misconception. The goal of this paper is to help students use the intuitions properly by distinguishing helpful intuitions and impedimental intuitions. This paper suggests that we need to reveal in teaching the misconception resulting not from mathematic but from linguistic interpretation of independence. This paper points out the need for the clear distinction of independence of trials and independence of events and gives an counterexample of the case that sampling with and without replacement shouldn't be specified as a representative example of independence and dependence of events. The analysis of intuition in this parer is based on intuitions classified by Fischbein and this paper analyzed institutions applied to the concept of independence corresponding intuitions classified by Fischbein.

  • PDF

Performance and Thermal Design Validation for FM STEP Cube Lab. (큐브위성 STEP Cube Lab. 비행 모델의 열진공시험을 통한 성능 및 열제어계 설계 검증)

  • Kang, Soo-Jin;Jung, Hyun-Mo;Seo, Joung-Ki;Oh, Hyun-Ung
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.43 no.9
    • /
    • pp.814-821
    • /
    • 2015
  • The STEP Cube Lab. classified as a pico-class satellite has been successfully developed as a flight model(FM) to be launched in 2015. Its mission objective is to perform the on-orbit verification of fundamental space core-technologies. In this study, a thermal design concept based on the passive method to achieve the mission objective is introduced. The effectiveness of the thermal design and performance of the satellite has been verified through the acceptance level thermal vacuum test. In addition, to improve the reliability of thermal mathematical model, correlation was performed using the results of thermal balance test. This paper describes a series of process for the thermal vacuum test on the STEP Cube Lab. FM.

A Study on Mathematizing Teaching and Learning in Highschool Calculus (고등학교 미적분에서의 수학화 교수.학습에 관한 연구)

  • Cho, Wan-Young
    • School Mathematics
    • /
    • v.8 no.4
    • /
    • pp.417-439
    • /
    • 2006
  • Many studies indicate the emerging crisis of education of calculus even though the emphasis of calculus have been widely recognized. In our classrooms, the education of calculus also has been faced with its bounds. Most instructions of calculus is too much emphasis on the algebraic approach, thus students solve mathematical problems without truly understanding the underlying concept. The purpose of this study is to develop mathematization teaching and learning materials and methods in caculus based on the mathematization teaching and learning theories by Freudenthal and the variability principles of conceptual learning by Dienes, In order to this purpose, first, we analyzed the high school mathematics II textbook of 7th curriculum in Korea. Second, we developed mathematization teaching and learning materials and methods in highschool calculus. Consequently, the following conclusions have been drawn: we have reorganized and reconstructed the context problem in calculus based on concepts of tangent line and instantaneous rate of change.

  • PDF

An Analysis about the Features of Mathematical Learning of Middle School Students through the Distribution Graphs of the Responses Percentages in National Assessment of Educational Achievement (학업성취도 평가에서 답지 반응률 분포 그래프를 활용한 중학생의 수학과 학업 특성 분석)

  • Jo, Yun Dong;Lee, Kwang Sang
    • Journal of Educational Research in Mathematics
    • /
    • v.25 no.1
    • /
    • pp.1-19
    • /
    • 2015
  • This paper aims to explore what we can improve in the curriculum, teaching-learning, and evaluation on the bases of the analyses of multiple-choice items set in National Assessment of Educational Achievement. For this goal, by using the distribution curves of the responses percentages, we will grasp the features of educational achievement which appear to students through an in-depth analysis about not only item itself but also the contents included in particular distracters. These analyses provide more information than the descriptive statistical values such as the mean of correct answer percentage and the discrimination of whole group and the mean of responses percentages of replies of subgroups. Because the distribution curves of the responses percentages reveal the transition from the lowest to the highest educational achievement very well. From these analyses we acquire the implications about the concept of prime factor or prime factorization, ratio(proportion) such as velocity, linear function, volume of cone, properties of solid figure, and probabilities of empty event and total event.