• Title/Summary/Keyword: Computer Algebra System

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The Development of e-Learning System for Science and Engineering Mathematics using Computer Algebra System (컴퓨터 대수 시스템을 이용한 이공계 수학용이러닝 시스템 개발)

  • Park, Hong-Joon;Jun, Young-Cook;Jang, Moon-Suk
    • The KIPS Transactions:PartA
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    • v.14A no.6
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    • pp.383-390
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    • 2007
  • This paper describes the e-learning system for science and engineering mathematics using computer algebra system and Bayesian inference network. The best feature of this system is using one of the most recent mathematical dynamic web content authoring model which is called client independent dynamic web content authoring model and using the Bayesian inference network for diagnosing student's learning. The authoring module using computer algebra system provides teacher-user with easy way to make dynamic mathematical web contents. The diagnosis module using Bayesian inference network helps students know the weaker parts of their learning, in this way our system determines appropriate next learning sequences in order to provide supplementary learning feedback.

Free Vibration of a Thin Plate with Small Deflections by Semi-Analytical Approach (반해석적 방법에 의한 작은 변위를 가지는 얇은판의 자유진동해석)

  • 최덕기
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.8
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    • pp.1967-1973
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    • 1994
  • The free vibration of a thin plate with three different boundary conditions is discussed in this paper. A semi-analytical approach to the plate problems has been exploited using computer algebra system(CAS). The approximate solutions are assumed as algebraic polynomials that satisfy the appropriate boundary conditions. In order to solve problems, Galerkin method is used, which is known as an ineffective tool for practical engineering problems, being involved with a large number of multiple integration and differentiation. All the admissible functions used in this paper are generated automatically by CAS otherwise a tedious algebraic manipulations should be done by hand. One, six and fifteen-term solutions in terms of frequency parameters are presented and compared with exact solutions. Even using one-term solution, the comparison with existing data shows good agreement and accuracy of the present method.

Mathematics Curriculum with Computer Algebra System: The Development of the Function Curriculum Using 'Mathview' in the 10th Grade Mathematics (Mathview를 도구로한 고등학교 함수 단원 구성)

  • 류희찬;지현희;조민식
    • School Mathematics
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    • v.2 no.1
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    • pp.183-202
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    • 2000
  • The purpose of this study is to restructure the 10th grade mathematics curriculum for teaching the function area under the computer environment using ‘Mathview’, which is a computer algebra system designed for exploring algebra dynamically. The instructional sequence of the function area was redesigned to highlight the functions and properties of the computer software. And, based on the newly designed sequence, this study develops the sample ‘teaching unit’ using Mathview. The basic principle of the materials is to encourage students to investigate mathematics by manipulate various experimental tasks by themselves or through group study. And, the draft of the sequence and teaching unit was reviewed by some mathematics teachers and revised through the feedback.

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On the Education of Talented Children for the Creativity Development by Using CAS

  • Takahashi, Tadashi
    • Research in Mathematical Education
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    • v.13 no.1
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    • pp.1-4
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    • 2009
  • We are considering the discovery and the promotion of the talent from the viewpoint of education of talented children. The education that develops the talent is from "Individual needs for all children." Computer Algebra System (CAS) can be used as a new possibility in the education that develops the talent. We will need to take advantage of the research results from cognitive science. In order to fully utilize CASs in education, teaching methods that are based on cognitive science will be needed, and these are clearly different from those used in paper and pencil teaching.

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Drawing the outlines of shapes by using the graphs of functions (함수의 그래프를 이용한 형상의 윤곽 그리기)

  • Ha, Junhong
    • The Journal of Korean Institute for Practical Engineering Education
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    • v.2 no.2
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    • pp.49-54
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    • 2010
  • The functions and their graphs are very important parts in mathematical educations. But there seems be a lot of students studying the functions and their graphs without grasping the meaning of them and without interest with them. We present a learning method of how to match functions and their graphs with outlines of various shapes. That is, outlines of the shapes are assumed to be the graphs of the functions and the graphs will be plotted on the screen of a computer with help of the computer algebra system.

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ERROR ANALYSIS USING COMPUTER ALGEBRA SYSTEM

  • Song, Kee-Hong
    • East Asian mathematical journal
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    • v.19 no.1
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    • pp.17-26
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    • 2003
  • This paper demonstrates the CAS technique of analyzing the nature and the structure of the numerical error for education and research purposes. This also illustrates the CAS approach in experimenting with the numerical operations in an arbitrary computer number system and also in doing error analysis in a visual manner.

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A Case Study of Perceptions on Storytelling Mathematics Textbooks with Computer Algebra System (스토리텔링 수학 교과서에서 공학적 도구의 활용과 미분적분학 단원에 관한 개발 사례)

  • Lee, Sang-Gu;Shin, Joonkook;Kim, Kyung-Won
    • Communications of Mathematical Education
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    • v.28 no.1
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    • pp.65-79
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    • 2014
  • The present study seeks to provide an easy path to differential perceptions of students at the upper high school level by applying a story telling method and also, characteristically, to earn some time for class discussion by reducing learning time for simple calculational procedure through Computer Algebra System(CAS) tools. This study offers a clear example of storytelling textbooks through Sage. Hence, the study aims at enabling students who have practiced contents with Sage tools to deal with diverse and complicated calculation problems, if they learn to build up mathematical formulas for those problems.