• Title/Summary/Keyword: 공학수학

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공학교육에서의 수학에 관하여

  • Lee, Chun-Ho
    • Communications of Mathematical Education
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    • v.15
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    • pp.223-234
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    • 2003
  • 공학에서의 수학의 역할은 매우 크다고 할 수 있다. 그러나 학부제의 도입으로 말미암아 점차 많은 대학의 공과대학에서는 수학없이 공학교육을 하려하고 있다. 외국의 시장개방 압력에 따라 공학인증제의 준비를 서둘러야 하는 이때에 공학인증제에 따른 공학에서의 수학교육에 대한 현재의 문제점을 조사하고 새로운 대안을 제시하였다.

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수학 문제해결에서 아르키메데스의 공학적 방법에 관한 연구

  • Han, In-Gi
    • Communications of Mathematical Education
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    • v.17
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    • pp.115-126
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    • 2003
  • 수학사는 수학적 사실이나 수학자에 대한 연대기적 나열만을 의미하는 것은 아니다. 수학사에서는 수학적 개념들, 정리들, 연구 방법의 발생, 축적, 그리고 발전에 대한 폭넓은 견해를 접할 수 있다. 특히, 수학사에서 접할 수 있는 수학 문제해결의 다양한 방법은 수학 교수-학습 과정에서 교사의 올바른 교수학적 선택을 위한 중요한 기초 자료가 될 수 있다. 본 연구에서는 그리스의 수학자 아르키메데스가 구의 부피를 구하기 위해 사용했던 공학적 문제해결 방법을 살펴보고, 공학적 방법의 활용에 관련된 수학적 기초를 살펴보고, 공학적 문제해결 방법을 중등학교 수학 영재교육에 활용할 수 있는 가능성을 모색할 것이다.

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공학전공자를 위한 대학수학교육과정과 교수

  • Kim, Seong-Ok
    • Communications of Mathematical Education
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    • v.19 no.2 s.22
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    • pp.409-416
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    • 2005
  • 여러 대학의 공학전공자를 위한 수학교육의 현황을 살펴보며 '공학 전공자를 위한 대학 수학교육과정'의 구체화의 필요성과 교육과정의 내용 및 교수에 관해 살펴본다.

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Interactive Engineering Mathematics Laboratory (SageMath를 활용한 '대화형 공학수학 실습실'의 개발과 활용)

  • Lee, Sang-Gu;Lee, Jae Hwa;Park, Jun H.;Kim, Eung-Ki
    • Communications of Mathematical Education
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    • v.30 no.3
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    • pp.281-294
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    • 2016
  • This study deals with the content that was developed by the authors and the utilization of the 'Interactive Engineering Math Laboratory (IEmath Lab).' IEmath Lab provides online review lectures as well as a wide range of examples and exercises from the curriculum of engineering mathematics courses. The lectures come with pre-coded Python-based SageMath cells through which students can run and modify the code directly from this free laboratory. IEmath Lab is accessible via mobile devices so that the students can use it anywhere, anytime for maximum learning effectiveness and achievement. IEmath Lab would be an ideal tool for the effective learning and teaching of engineering mathematics, which combines theory and practice.

A study for the development of curriculum and courses of mathematics for engineering majors (공학전공자를 위한 대학수학교육과정 및 교과목 개발 연구)

  • Kim, Sung-Ock;Ahn, Kyung-Mo;Lee, Jong-Won
    • Communications of Mathematical Education
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    • v.23 no.4
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    • pp.961-976
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    • 2009
  • The purpose of this study is to revise the curriculum of mathematics, which is the basic for the engineering studies, especially for the disciplines of the electronic engineering, computer science, computer engineering, mechanical engineering, environmental engineering, civil engineering and architecture. Another goal of this research was to integrate a computer software, MATLAB into a mathematics course so that the mathematical concepts and theories in the course can be visualized to help students understand some difficult subjects and enhance their interest in mathematics.

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On the design of instruments for integrating general educational technology course and educational technology in mathematics education course (교육공학 관련 교직과목과 교과교육 과목의 연계를 위한 도구)

  • Cho, Han-Hyuk;Song, Min-Ho
    • Communications of Mathematical Education
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    • v.24 no.4
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    • pp.843-864
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    • 2010
  • To get an undergraduate degree from mathematics education department, a student not only take a general educational technology course from education department, but also take an educational technology in mathematics education course from mathematics education department. We believe that these two courses can be integrated for preparing better mathematics teachers. For this purpose, we design an educational technology tool called JavaMAL microworld, and study strategy to integrate two courses harmoniously. This kind of approach is good for internationalization of researches on mathematics education by Korean researchers since most SSCI journal prefer an integrated approach in the educational technology related papers. In short, integrating general educational technology course and educational technology in mathematics education course is not only good to student but to professors. But just integrating two courses is not enough. Students must understand the needs and the usefulness of educational technology tool in the learning and teaching of mathematics, and must have such experience from their mathematics courses.

A Study on the Use of Technology in Teaching-learning School Mathematics (학교수학 교수.학습에서 기술공학의 활용 연구)

  • Lee, Jung-Rye
    • Communications of Mathematical Education
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    • v.24 no.1
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    • pp.29-48
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    • 2010
  • The purpose of this paper is to discuss about the use of technology in teaching-learning school mathematics. In this paper, we study the theoretical background of teaching-learning school mathematics by the use of technology. For the purpose of successful use of technology in teaching-learning school mathematics, we research the present states of it appeared in textbooks of high school mathematics And we give suggestions for the effective use of technology in teaching-learning school mathematics. Furthermore, we introduce models for teaching-learning school mathematics in areas of mathematics by the use of computer programs such as GSP, Maple, and GrafEq.

컴퓨터 대수학 알고리즘의 개념 및 변화를 이용한 응용모듈 설계모형 작성

  • Park, Yong-Beom;Kim, Bu-Yun;Heo, Man-Seong
    • Communications of Mathematical Education
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    • v.12
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    • pp.249-264
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    • 2001
  • 학교수학을 가르치고 배우는 과정에서 교사의 역할은 기술 공학의 활용으로 변화하고 있다. 기술공학의 역할은 학생들로 하여금 수학에 대한 태도를 변하게 하여, 탐구적이며 창의적인 방법으로 수학을 공부하는데 열의를 갖도록 한다. 반면에 현재의 수학교수는 여전히 보수적이며 환경의 변화에 더디게 적응하고 있으나, 세상이 상당히 빨리 변하고 있으므로 기술공학을 활용하여 현재의 교수를 개선해 나가야 하겠다. 변화에 대한 인식과 갈망은 학습자료, 재정 상태, 그리고 기타 여러 가지 요인보다도 훨씬 중요하며 가장 중요한 것은 교수관점 및 교수견해의 변화에 대한 의지이다. 교사가 기호연산 실행 조작이 가능한 수학 학습용 컴퓨터 응용 소프트웨어와 이들을 탑재한 휴대용 수학학습 전용기를 중등학교수학에 적용할 경우, 수학교육에서 신중히 고려해야 할 것은, 첫째 모든 수준의 학생들을 격려하며, 둘째 대상 영역의 수학학습 내용을 이해하도록 기술공학을 활용한 새로운 교수 기법에 접근할 수 있어야 한다는 점이다.

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An analysis of the use of technology tools in high school mathematics textbooks based (고등학교 수학 교과서의 공학 도구 활용 현황 분석)

  • Oh, Se Jun
    • Communications of Mathematical Education
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    • v.38 no.2
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    • pp.263-286
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    • 2024
  • With the introduction of AI digital textbooks, interest in the use of technology tools in mathematics education is increasing. Technology tools have the advantage of visualizing mathematical concepts and discovering mathematical principles through experimentation and inquiry. The 2015 revised mathematics curriculum in Korea already mentions the use of technology tools, and accordingly, various teaching and learning activities using technology tools are presented in mathematics textbooks. However, there is still a lack of systematic analysis on the types and utilization methods of technology tools presented in textbooks. Therefore, this study analyzed the current status of the use of technology tools presented in high school mathematics textbooks based on the 2015 revised curriculum. To this end, the types of technology tools presented in mathematics textbooks were categorized, and the utilization ratio of each category was investigated. In addition, the utilization patterns of technology tools were analyzed by subject and content area, and the utilization ratio of technology tools according to the type of teaching and learning activities was examined. The results showed that technology tools were used in various types and ratios according to the subject and content area. In particular, technology tools in the symbol-manipulation graphing software category accounted for 58% of the total usage cases, showing the highest proportion. By subject, the use of symbol-manipulation graphing software was prominent in subjects dealing with the analysis area, while the use of dynamic geometry software was relatively high in the geometry area. In terms of teaching and learning activity types, the utilization ratio of auxiliary tool type (49%) and intended inquiry induction type (37%) was high. The results of this study show that technology tools play various roles in mathematics textbooks and provide useful implications for improving mathematics teaching and learning methods using technology tools in the future. Furthermore, it can contribute to the establishment of educational policies related to AI digital textbooks and the development of teacher training programs.

A Study on Teaching of Convolution in Engineering Mathematics and Artificial Intelligence (인공지능에 활용되는 공학수학 합성곱(convolution) 교수·학습자료 연구)

  • Lee, Sang-Gu;Nam, Yun;Lee, Jae Hwa;Kim, Eung-Ki
    • Communications of Mathematical Education
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    • v.37 no.2
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    • pp.277-297
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    • 2023
  • In mathematics, the concept of convolution is widely used. The convolution operation is required for understanding computer vision and deep learning in artificial intelligence. Therefore, it is vital for this concept to be explained in college mathematics education. In this paper, we present our new teaching and learning materials on convolution available for engineering mathematics. We provide the knowledge and applications on convolution with Python-based code, and introduce Convolutional Neural Network (CNN) used for image classification as an example. These materials can be utilized in class for the teaching of convolution and help students have a good understanding of the related knowledge in artificial intelligence.