• Title/Summary/Keyword: 수와연산

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Student Understanding of Scale: From Additive to Multiplicative Reasoning in the Constriction of Scale Representation by Ordering Objects in a Number Line (척도개념의 이해: 수학적 구조 조사로 과학교과에 나오는 물질의 크기를 표현하는 학생들의 이해도 분석)

  • Park, Eun-Jung
    • Journal of The Korean Association For Science Education
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    • v.34 no.4
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    • pp.335-347
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    • 2014
  • Size/scale is a central idea in the science curriculum, providing explanations for various phenomena. However, few studies have been conducted to explore student understanding of this concept and to suggest instructional approaches in scientific contexts. In contrast, there have been more studies in mathematics, regarding the use of number lines to relate the nature of numbers to operation and representation of magnitude. In order to better understand variations in student conceptions of size/scale in scientific contexts and explain learning difficulties including alternative conceptions, this study suggests an approach that links mathematics with the analysis of student conceptions of size/scale, i.e. the analysis of mathematical structure and reasoning for a number line. In addition, data ranging from high school to college students facilitate the interpretation of conceptual complexity in terms of mathematical development of a number line. In this sense, findings from this study better explain the following by mathematical reasoning: (1) varied student conceptions, (2) key aspects of each conception, and (3) potential cognitive dimensions interpreting the size/scale concepts. Results of this study help us to understand the troublesomeness of learning size/scale and provide a direction for developing curriculum and instruction for better understanding.

Program development according to the Mathematically Gifted- Creative Problem Solving (MG-CPS) model (창의적 문제해결 학습 모형에 따른 초등학교 수학영재 프로그램 개발)

  • Nam, Heung Sook;Park, Moon Hwan
    • Journal of Elementary Mathematics Education in Korea
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    • v.16 no.2
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    • pp.203-225
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    • 2012
  • The purpose of this study is to suggest a program for improvement of the mathematical creativity of mathematical gifted children in the elementary gifted class and to examine the effect of developed program. Gifted education program is developed through analyzing relevant literatures and materials. This program is based on the operation bingo game related to the area of number and operation, which accounts for the largest portion in the elementary mathematics. According to this direction, the mathematically gifted educational program has been developed. According to the results which examine the effectiveness of the creative problem solving by the developed program, students' performance ability has been gradually improved by feeding back and monitoring their problem solving process continuously.

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Development of Game-type Learning Program for Multi-level Learning in Number and Operation Field (수.연산 영역의 수준별 학습을 위한 게임형 학습 프로그램 개발)

  • Lee, Jae-Mu;Jin, Young-Seok
    • Journal of Korea Game Society
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    • v.6 no.3
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    • pp.43-50
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    • 2006
  • This study is to develop a learning program supporting how to teach multi-level of students in number and operating field in the elementary school. Mathematics requires different teaching ways for various standards of student in the school. However, in most of elementary school teachers are having hard time giving the proper lesson for each student due to the lack of supplementary classes and the excessive numbers of students in a class. Thus this research provides "Game-type learning Program" and supports individual learning lessons to give each student an opportunity to form a correct concept of number and operation. This system sets up suitable steps for each student by checking their leaning progress and accomplishment. When a student has a trouble, can give a help or show specific things which could be related with the matter. As a result, students have got more interests in studying math, furthermore, actually, the help and giving a clue helped students a lot in settling the problems.

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A Low Power Resource Allocation Algorithm based on Minimizing Switching Activity (스위칭 동작 최소화를 통한 저 전력 자원할당 알고리즘)

  • Lin, Chi-Ho
    • Journal of IKEEE
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    • v.10 no.2 s.19
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    • pp.103-108
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    • 2006
  • This paper proposed a low power resource allocation algorithm for the minimum switching activity of operators in high level synthesis. In this paper, the proposed method finds switching activity in circuit each functional unit exchange for binary sequence length and value bit are logic one value. To use the switching activity was found the allocation with minimal power consumption, the proposed method visits all control steps one by one and determines the allocation with minimal power consumption at each control step. As the existing method, the execution time can be fast according to use the number of operator and maximal control step. And it is the reduction effect from 8.5% to 9.3%.

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A New High speed, Low Power TFT-LCD Driving Method (새로운 고속, 저전력 TFT-LCD 구동 방법)

  • Park, Soo-Yang;Son, Sang-Hee;Chung, Won-Sup
    • Journal of IKEEE
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    • v.10 no.2 s.19
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    • pp.134-140
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    • 2006
  • This paper proposed a low power resource allocation algorithm for the minimum switching activity of operators in high level synthesis. In this paper, the proposed method finds switching activity in circuit each functional unit exchange for binary sequence length and value bit are logic one value. To use the switching activity was found the allocation with minimal power consumption, the proposed method visits all control steps one by one and determines the allocation with minimal power consumption at each control step. As the existing method, the execution time can be fast according to use the number of operator and maximal control step. And it is the reduction effect from 8.5% to 9.3%.

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A Degree of Difficulty in Operations Area in Elementary Mathematics (초등수학에서 연산영역의 곤란도 분석)

  • Ahn, Byoung-Gon
    • Journal of Elementary Mathematics Education in Korea
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    • v.13 no.1
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    • pp.17-30
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    • 2009
  • This paper is about the basic skills of four operations in numbers and operations areas from step 1 to step 3 in elementary mathematics. Here are the results of the evaluation. First, addition and subtraction take the largest time. The average difficulty rate in operations area is 91.2%. Most students understand the contents of textbook well. Specifically, students easily understand the step 1. However, subtraction has lower difficulty rate than addition. Also, three mixed computation, calculation in horizontal, and rounding(rounding down) are difficult areas for students. The contents of step 2 are fully understood. However, lots of mistakes are found in the process of rounding(rounding down), and sentence problems are thought as difficult. Second, the multiplication is first starting in the step 2-Ga. The unit 'Multiplication 99' takes 13 hours, the longest. The difficulty rate in this unit is 89.4%, students understand well. However, students are influenced by addition and subtraction errors in the process of multiplication, and have difficulty in changing the sentence problem to multiplication expression. Third, the division, which starts in step 3-Ga, has 89.9% of difficulty rate. Students well understand. Result of this paper: most of students understand well four operations, but accurate concept, the relationship between multiplication and division, specific instructions in teaching principles of division calculation and sentence problems are in need. Setting the amount of the contents and difficulty rate in understanding are depends on every school's situation, so suggesting universal standard is really hard. However, studying more objects broadly and specific study will be helpful to suggest proper contents and effective teaching.

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A technique to increase the performance in movement detecting systems by processing the cells in a virtual zone (가상 공간의 셀 단위 처리를 이용한 움직임 감지 시스템 성능 향상 기법)

  • 홍석용;박영환
    • Proceedings of the Korean Information Science Society Conference
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    • 2004.10b
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    • pp.775-777
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    • 2004
  • 영상 내에 존재하는 사물에 대해서 변화를 감지하는 것은 일반적으로 카메라 영상에서 입력되는 두 개의 순차적인 영상에 대한 연산으로 구현된다. 그런데 카메라 영상을 이용하여 사물을 감지하는 경우 보통 이미지 전체가 아니라 일부에 대해서 관심을 갖게 된다. 따라서 전체 이미지에 대해서 움직임 감지 방법을 적용하는 것은 메모리 낭비와 처리 시간의 증가라는 비효율성을 야기 시킨다. 또, 영상 내에서 여러 개의 움직인 물체를 발견하는 것은 임의적인 물체의 수와 모양 때문에 처리 방법이 복잡하다. 따라서 본 논문에서는 전체 이미지에서 일부분에 대하여 움직임을 감지할 수 있도록 사용자가 처리 구역을 작은 셀 들로 나누어 가상 공간을 설정하고, 나누어진 셀 당 한 물체의 움직임을 감지하는 기법으로 기존 움직임 감지 시스템에 효율성을 제고하고자 한다.

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Design of Efficient FFT Processor for MIMO-OFDM Based SDR Systems (MIMO-OFDM 기반 SDR 시스템을 위한 효율적인 FFT 프로세서 설계)

  • Yang, Gi-Jung;Jung, Yun-Ho
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.46 no.12
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    • pp.87-95
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    • 2009
  • In this paper, an area-efficient FFT processor is proposed for MIMO-OFDM based SDR systems. The proposed scalable FFT processor can support the variable length of 64, 128, 512, 1024 and 2048. By reducing the required number of non-trivial multipliers with mixed-radix (MR) and multi-path delay commutator (MDC) architecture, the complexity of the proposed FFT processor is dramatically decreased without sacrificing system throughput The proposed FFT processor was designed in hardware description language (HDL) and synthesized to gate4eve1 circuits using 0.18um CMOS standard cell library. With the proposed architecture, the gate count for the processor is 46K and the size of memory is 64Kbits, which are reduced by 59% and 39%, respectively, compared with those of the 4-channel radix-2 single-path delay feedback (R2SDF) FFT processor. Also, compared with 4-channel radix-2 MDC (R2MDC) FFT processor, it is confirmed that the gate count and memory size are reduced by 16.4% and 26.8, respectively.

A study on the mathematical disposition and communication level in process of applying mathematical journal writing to the 3rd graders in a mathematics classroom (수학일지 쓰기 활동이 초등학생의 수학적 성향과 수학적 의사소통 수준에 미치는 영향: 3학년 수와연산 영역을 중심으로)

  • Yang, Hyeonsu;Kim, Min Kyeong
    • The Mathematical Education
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    • v.57 no.3
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    • pp.247-270
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    • 2018
  • The purpose of this study is to investigate the mathematical disposition and mathematical communication level of elementary school students in the process of applying mathematical journal writing activities. For this study, 21 third grade students in elementary school were observed when they participated in mathematical journal writing activities while studying number and operation area. According to the Mathematical disposition pre-test and post-test results, mathematical confidence, mathematical flexibility, mathematical will, and mathematical reflection increased and it was statistically proved. Expression and explanation level of the mathematical communication writing area also increased as the mathematical journal writing activity continued. Thus, mathematical journal writing activities can help to enhance the core competencies of the 2015 revised mathematics curriculum while make students 'to develop and transform mathematical expressions' and 'to express oneself'. Also, it provides implications of including active writing activities such as mathematical journal writing activities into mathematics classroom. Furthermore, the change in mathematical communication level according to mathematical disposition level was not statistically significant. Therefore, when providing active writing activities including mathematical journal writing activities into classroom, it is necessary to understand students' individual characteristics and to encourage communication to be active rather than giving feedback based on one's mathematical disposition level.

Seeking a Way for the Connection of Curriculum of Infants and Children Based on the Area of Inquiry in Daily Life -Centered on the Early Learning Standards in America- (미국의 조기학습기준의 분석으로 살펴본 시사점을 통하여 자연탐구영역의 영아와 유아의 교육과정의 연계 방향 모색)

  • Kim, Eun Jung;Yoo, Yung Eui;Shin, Eun Soo
    • Korean Journal of Childcare and Education
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    • v.10 no.6
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    • pp.223-241
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    • 2014
  • The objective of this study was to plan a direction for the connection of the area of inquiry in daily life between infants and young children in Korea based on the analysis of the early learning standards for infants aged 0~2, and young children aged 3~4/5 in 17 different states in America. The problem of the study is as follows: What is the content area of cognitive development, science and mathematics of early learning standards regarding age? The data used in this study was collected from a total of 17 states in America in which 12 states classify infants and young children as aged 0~2 and 3~4/5 respectively and 5 states do not classify the age groups. The results obtained from the analysis of the given issues are as follows. First, in the case of the five states that showed the group aged 0~4/5, the contents related to the area of inquiry in daily life of the early learning standards were included in the mathematics and science and a part of these contents were also included in cognitive developments. In the case of the 12 states that classified the groups aged 0~2 and 3~4/5 respectively, the group aged 0~2 included cognitive developments and the group aged 3~4/5 includes mathematics and science. Second, the contents related to the area of inquiry in daily life of the early learning standards in the five states that showed the single group aged 0~4/5 include the contents in order of scientific idea, biology, physics, and the earth and space. In the 12 states that classify different age groups. Third, in the case of the states that separate age groups, the group aged 0~2 include the contents of number and operation, geometry and space while the group aged 3~4/5 include the contents of number and operations, geometry and space, and measurement. The implications of this study was that it is necessary to take into account the linking between development and characteristics of the subjects.