• Title/Summary/Keyword: 정적분의 활용

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A Case Study on the Relationship between Indefinite Integral and Definite Integral according to the AiC Perspective (AiC 관점에 따른 부정적분과 정적분 관계 학습사례 연구)

  • Park, Minkyu;Lee, Kyeong-Hwa
    • Communications of Mathematical Education
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    • v.36 no.1
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    • pp.39-57
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    • 2022
  • This study aims to design an integral instruction method that follows the Abstraction in Context (AiC) framework proposed by Hershkowitz, Schwarz, and Dreyfus to help students in acquiring in-depth understanding of the relationship between indefinite integrals and definite integrals and to analyze how the students' understanding improved as a result. To this end, we implemented lessons according to the integral instruction method designed for eight 11th grade students in a science high school. We recorded and analyzed data from graded student worksheets and transcripts of classroom recordings. Results show that students comprehend three knowledge elements regarding relationship between indefinite integral and definite integral: the instantaneous rate of change of accumulation function, the calculation of a definite integral through an indefinite integral, and The determination of indefinite integral by the accumulation function. The findings suggest that the AiC framework is useful for designing didactical activities for conceptual learning, and the accumulation function can serve as a basis for teaching the three knowledge elements regarding relationship between indefinite integral and definite integral.

Teachers' Opinions on Differences of Detail Learning Content According to High School Textbooks - Focused on Utilizing of Definite Integral - (고등학교 교과서 내용 영역별 세부 학습내용 차이에 대한 교사 의견 조사: 정적분의 활용을 중심으로)

  • Yang, Seong Hyun
    • School Mathematics
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    • v.17 no.4
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    • pp.555-570
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    • 2015
  • General and subject guideline for new curriculum are confirmed and plan to announced on September 2015. The development of instructional materials according to them will proceed. Because textbooks have the role and function to determine and control the direction and scope of teaching and learning, Textbook plays a very important role in the situation where teachers and students meet. Thus we get a significant effect depending on the structure of textbook. In this study, we analyzed differences of detail learning content according to high school textbooks focused on utilizing of definite integral. After creating the questionnaire based on it, The survey was conducted targeting for 369 high school mathematics teachers belong to 14 education offices of cities and provinces are polled out by accidental sampling method. Analyzing the results of the survey, We searched various teaching and learning method that arise due to differences of detail learning content according to high school textbooks and thereby it explored the impact on students' mathematics learning. Through this, Our intention is to offer implication about the structure of textbook detail learning contents and to derive the improvements about textbook compilation system.

A study for Build the Concept Image about Natural Logarithm under GeoGebra Environment (GeoGebra 환경에서 정적분을 이용한 자연로그의 개념이미지 형성 학습 개선방안)

  • Lee, Jeong-Gon
    • Journal for History of Mathematics
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    • v.25 no.1
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    • pp.71-88
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    • 2012
  • The purpose of this study is to find the way to build the concept image about natural logarithm and the method is using definite integral in calculus under GeoGebra environment. When the students approach to natural logarithm, need to use dynamic program about the definite integral in calculus. Visible reasoning process through using dynamic program(GeoGebra) is the most important part that make the concept image to students. Also, for understand mathematical concept to students, using GeoGebra environment in dynamic program is not only useful but helpful method of teaching and studying. In this article, about graph of natural logarithm using the definite integral, to explore process of understand and to find special feature under GeoGebra environment. And it was obtained from a survey of undergraduate students of mathmatics. Also, relate to this process, examine an aspect of students, how understand about connection between natural logarithm and the definite integral, definition of natural logarithm and mathematical link of e. As a result, we found that undergraduate students of mathmatics can understand clearly more about the graph of natural logarithm using the definite integral when using GeoGebra environment. Futhermore, in process of handling the dynamic program that provide opportunity that to observe and analysis about process for problem solving and real concept of mathematics.

A Study of 3D World Reconstruction and Dynamic Object Detection using Stereo Images (스테레오 영상을 활용한 3차원 지도 복원과 동적 물체 검출에 관한 연구)

  • Seo, Bo-Gil;Yoon, Young Ho;Kim, Kyu Young
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.20 no.10
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    • pp.326-331
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    • 2019
  • In the real world, there are both dynamic objects and static objects, but an autonomous vehicle or mobile robot cannot distinguish between them, even though a human can distinguish them easily. It is important to distinguish static objects from dynamic objects clearly to perform autonomous driving successfully and stably for an autonomous vehicle or mobile robot. To do this, various sensor systems can be used, like cameras and LiDAR. Stereo camera images are used often for autonomous driving. The stereo camera images can be used in object recognition areas like object segmentation, classification, and tracking, as well as navigation areas like 3D world reconstruction. This study suggests a method to distinguish static/dynamic objects using stereo vision for an online autonomous vehicle and mobile robot. The method was applied to a 3D world map reconstructed from stereo vision for navigation and had 99.81% accuracy.

An analysis of the introduction and application of definite integral in textbook developed under the 2015-Revised Curriculum (2015 개정 교육과정에 따른 <수학II> 교과서의 정적분의 도입 및 활용 분석)

  • Park, Jin Hee;Park, Mi Sun;Kwon, Oh Nam
    • The Mathematical Education
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    • v.57 no.2
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    • pp.157-177
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    • 2018
  • The students in secondary schools have been taught calculus as an important subject in mathematics. The order of chapters-the limit of a sequence followed by limit of a function, and differentiation and integration- is because the limit of a function and the limit of a sequence are required as prerequisites of differentiation and integration. Specifically, the limit of a sequence is used to define definite integral as the limit of the Riemann Sum. However, many researchers identified that students had difficulty in understanding the concept of definite integral defined as the limit of the Riemann Sum. Consequently, they suggested alternative ways to introduce definite integral. Based on these researches, the definition of definite integral in the 2015-Revised Curriculum is not a concept of the limit of the Riemann Sum, which was the definition of definite integral in the previous curriculum, but "F(b)-F(a)" for an indefinite integral F(x) of a function f(x) and real numbers a and b. This change gives rise to differences among ways of introducing definite integral and explaining the relationship between definite integral and area in each textbook. As a result of this study, we have identified that there are a variety of ways of introducing definite integral in each textbook and that ways of explaining the relationship between definite integral and area are affected by ways of introducing definite integral. We expect that this change can reduce the difficulties students face when learning the concept of definite integral.

적분교육을 위한 비쥬얼베이직 프로그램 설계

  • Lee, Seon-Gu;Lee, Gyu-Bong
    • Communications of Mathematical Education
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    • v.12
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    • pp.281-301
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    • 2001
  • 본 논문은 고등학교 제7차 교육과정 중 수학 I 과 미분적분학에서 나오는 적분 단원의 교수 학습을 위해 Visual Basic을 사용하여 제작한 프로그램의 설계과정과 그 기능을 기술하였다. 먼저, 적분의 개념을 이끌어 내기 위한 도구인 “구분구적법”의 설명을 위해 원을 포함하는 사각형과 원에 포함된 사각형들의 개수와 면적에 대해 원을 나누는 사각형의 한 변의 길이를 조절해감으로서 원의 실제 면적에 접근해 가는 과정을 보여줄 수 있으며, 또한 “정적분”, “넓이”, “두 곡선 사이의 넓이”를 구하는 프로그램을 이용하여 학생들이 각각의 개념을 프로그램을 실행하며 시각적으로 확인할 수 있도록 설계하였다. 이 프로그램은 일선 학교에서 구분구적법과 적분, 넓이의 개념을 시각적으로 이해할 수 있는 자료로 활용될 수 있을 것이다.

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A Storage Model for XML-based government document to RDB (XML기반 행정기관 전자문서의 관계 데이터베이스로의 저장 모델)

  • 안만선;이언배
    • Proceedings of the Korean Information Science Society Conference
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    • 2004.04b
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    • pp.166-168
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    • 2004
  • 행정기관의 전자문서는 정부의 공문서 표준 DTD 및 XML 문법에 따라 작성되고 있으나. 일반 문서와 동일하게 정부의 디렉토리시스템에 문서 단위로 저장 관리되고 있다 그러나 구조 정보를 포함하고 있는 XML 문서를 보다 효과적으로 활용하기 위해서는 논리구조 단위로 정보를 저장 관리할 필요가 있다. 본 논문은 행정기관 전자문서의 특성을 파악하여 데이터베이스로 저장할 때 적합한 모델을 제안한다. 대부분의 행정기관이 사용하고 있는 관계 데이터베이스시스템(RDBMS)을 사용하였고. 데이터 중심과 문서내용 중심의 성격을 동시에 가지는 행정기관 전자문서의 특성을 고려하였다. 제안하는 저장 모델은 메타데이터를 표현하는 부분은 정적인 테이블을 사용하여 구조정보와 내용을 항께 저장하고, 문서 내용 중심의 본문 부분은 분할하지 않고 저장하는 변형된 분할 저장 방식이다. 제안하는 저장 모델을 활용하면 기존 RDBMS로 개발된 여러 응용 시스템과의 연동이 가능하고, XML 데이터 저장/검색을 위한 새로운 데이터베이스시스템의 구입 없이 행정기관에서 XML 전자문서를 효율적으로 관리할 수 있는 장정이 있다.

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A RDB storage model for XML-based public documents (XML기반 공문서의 관계 데이터베이스 저장 모델)

  • An, Man-Sun;Lee, Eun-Bae
    • Proceedings of the Korea Information Processing Society Conference
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    • 2004.05a
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    • pp.53-56
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    • 2004
  • 공문서는 정부가 제정한 공문서 표준 DTD 및 XML 문법에 따라 작성되고 있으나, 일반 문서와 동일하게 정부의 디렉토리시스템에 문서 단위로 저장 관리되고 있다. 그러나 구조 정보를 포함하고 있는 XML 문서를 보다 효과적으로 활용하기 위해서는 논리구조 단위로 정보를 저장 관리할 필요가 있다. 본 논문은 XML로 작성되는 공문서의 특성을 파악하여 데이터베이스로 저장할 때 적합한 모델을 제안한다. 대부분의 공공기관이 사용하고 있는 관계 데이터베이스시스템(RDBMS)을 사용하였고, 데이터 중심과 문서내용 중심의 성격을 동시에 가지는 공문서의 특성을 고려하였다. 제안하는 저장 모델은 메타데이터를 표현하는 부분은 정적인 테이블을 사용하여 구조정보와 내용을 함께 저장하고, 문서 내용 중심의 본문 부분은 분할하지 않고 저장하는 변형된 분할 저장 방식이다. 제안하는 저장 모델을 활용하면 기존 RDBMS로 개발된 여러 응용 시스템과의 연동이 가능하고, XML 데이터 저장/검색을 위한 새로운 데이터베이스시스템의 구입 없이 XML 전자문서를 효율적으로 관리할 수 있다는 장점이 있다.

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Effects of 60 Minutes Cardiopulmonary Resuscitation on Blood Lactic Acid Concentration, Heart Rate, and Rating of Perceived Exertion in Rescuers

  • Han, Seung-Eun;Ahn, Hee-Jeong;Shim, Gyu-Sik;Bang, Sung-Hwan;Song, Hyo-Suk
    • Journal of the Korea Society of Computer and Information
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    • v.27 no.8
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    • pp.195-202
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    • 2022
  • In this study, when cardiopulmonary resuscitation continued for a long time, the rescuer's blood lactic acid concentration, heart rate, and rating of perceived exertion were measured to identify the change in the rescuer's fatigue. Data collection was conducted from July 5 to July 9, 2021, with a total of 24 students, 12 students department of special warfare medical non-commissioned officer, and 12 students department of emergency medical technology at D University, undergoing a two-person alternative chest compression resuscitation for 60 minutes. As a result of the study, the rescuer's blood lactic acid concentration, heart rate, rating of perceived exertion, and chest compression speed were significantly changed according to the duration of CPR (p<.001, p<.001, p<.001, p<.001). blood lactic acid concentrations at every measurement cycle (30 minutes, 40 minutes, 50 minutes, 60 minutes) showed a significant positive correlation with heart rate (r=.696, p<.001, r=.672, p<.001, r=.709, p<.001, r=.782, p<.001), there was also a significant positive correlation with the rating of perceived exertion (r=.476, p<).05, r=.426, p<.05, r=.470, p<.05, r=.470, p<.05). Therefore, monitoring the fatigue of rescuers using heart rate and rating of perceived exertion will be useful for maintaining high-quality chest compression in situations where cardiopulmonary resuscitation is required for a long time.

Using Mathematics Education(Integration Method) through Computer (컴퓨터를 이용한 수학 교육(적분 방법)에 대한 연구)

  • Jun, Sang-Pyo
    • Journal of the Korea Society of Computer and Information
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    • v.13 no.1
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    • pp.213-218
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    • 2008
  • Through the development of computer and multimedia, many different kinds of theories about instructional method are presented. Especially, many lectures in associated with E-learning are done. In mathematics teaching, mathematica-algebra system lecturing, computer and Maple Matlab lecturing etc, are accomplished. There are many controversies among educators in problems originated by computer teaching. In this paper, we going to make a research about problems which are caused by mathematics computer-based education and present a desirable way of computer based education through studying comprehension rate and application ability among learner who uses omputer learning and other learner who uses exiting blackboard-based learning with statistical analysis after sampling test

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