• 제목/요약/키워드: Computer Aided Mathematics Education

검색결과 21건 처리시간 0.02초

저작도구를 이용한 수학 학습시스템 개발 (A Development of Learning System with Authoring Tool for Mathematics Education)

  • 신우창;김갑수
    • 정보교육학회논문지
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    • 제11권2호
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    • pp.221-230
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    • 2007
  • 우리는 현재 정보화 시대에 살고 있다. 컴퓨터 테크놀로지의 도움으로 사회의 생산성과 효율성 그리고 편리성이 증진되었다. 교육에 있어서도 이러한 정보기술의 도움을 받고 있으나, 아직까지 학교 교육에서 가장 널리 사용되는 도구가 여전히 칠판과 교과서인 점을 생각해 볼 때 정보공학이 교육 분야에서 제대로 활용되지 못한 점을 느낄 수 있다. 본 논문에서는 수학교육을 위한 학습시스템을 제안한다. 제안된 학습시스템은 저작도구를 이용하여 수학교육 콘텐츠를 초 중고등학교 교사들이 손쉽게 작성할 수 있으며, 이를 수업에 활용할 수 있다. 작성된 수학교육 콘텐츠를 데이터베이스로 축척하여 그 활용성을 높인다.

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Maple을 이용한 삼각함수의 이해 (Understanding of the trigonometric function using Maple)

  • 한동승;유흥상
    • 한국학교수학회논문집
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    • 제4권2호
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    • pp.1-9
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    • 2001
  • Since the computer is becoming more and more indispensible tool in every fields of the modern society, it is needed and desirable to utilize the computer as a basic tool from the very early stage of the education process. Recently Maple is gaining its popularity as a comprehensive mathematical software with its power of symbolic calculations and graphics as well as its great numerical computational ability. We demonstrate the suitability of this software as a tool for the mathematical education and presents several examples of the applications of Maple. For the middle and the high school mathematics courses, we give the application examples for the quadratic functions and their graphs, statistics, the three dimensional shapes, algebraic problems. Through the examples, we confirm that mathematical education can be much more effective and simple by using Maple. If we establish computer-assisted mathematical classes, we can draw more attention and excitement from the attendants than traditional classes and eventually improve more rapidly their problem-solving ability On the other hand, the excess of the computer-aided education give to obstacle of psychological, not to be passing over the fact.

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F-TRACELESS COMPONENT OF THE CONFORMAL CURVATURE TENSOR ON KÄHLER MANIFOLD

  • Funabashi, Shoichi;Kim, Hang-Sook;Kim, Young-Mi;Pak, Jin-Suk
    • 대한수학회보
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    • 제44권4호
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    • pp.795-806
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    • 2007
  • We investigate F-traceless component of the conformal curvature tensor defined by (3.6) in $K\ddot{a}hler$ manifolds of dimension ${\geq}4$, and show that the F-traceless component is invariant under concircular change. In particular, we determine $K\ddot{a}hler$ manifolds with parallel F-traceless component and improve some theorems, provided in the previous paper([2]), which are concerned with the traceless component of the conformal curvature tensor and the spectrum of the Laplacian acting on $p(0{\leq}p{\leq}2)$-forms on the manifold by using the F-traceless component.

REAL n-DIMENSIONAL QR-SUBMANIFOLDS OF MAXIMAL QR-DIMENSION IMMERSED IN QP(n+p)/4

  • Kim, Hyang-Sook;Kwon, Jung-Hwan;Pak, Jin-Suk
    • 대한수학회논문집
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    • 제24권1호
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    • pp.111-125
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    • 2009
  • The purpose of this paper is to study n-dimensional QR-submanifolds of (p-1) QR-dimension immersed in a quaternionic projective space $QP^{(n+p)/4}$ of constant Q-sectional curvature 4 and especially to determine such submanifolds under the additional condition concerning with shape operator.

SCALAR CURVATURE OF CONTACT CR-SUBMANIFOLDS IN AN ODD-DIMENSIONAL UNIT SPHERE

  • Kim, Hyang-Sook;Pak, Jin-Suk
    • 대한수학회보
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    • 제47권3호
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    • pp.541-549
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    • 2010
  • In this paper we derive an integral formula on an (n + 1)-dimensional, compact, minimal contact CR-submanifold M of (n - 1) contact CR-dimension immersed in a unit (2m+1)-sphere $S^{2m+1}$. Using this integral formula, we give a sufficient condition concerning with the scalar curvature of M in order that such a submanifold M is to be a generalized Clifford torus.

수학교육의 변화와 인공지능과의 연관성 탐색 (A study on the relationship between artificial intelligence and change in mathematics education)

  • 이지혜;허난
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제32권1호
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    • pp.23-36
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    • 2018
  • 인공지능(Artificial Intelligence)의 잠재력에 대한 기대로 여러 분야에서 이를 활용하고자 노력하고 있으며 교육 분야에서의 적용에 대한 관심 역시 높다. 교육에 있어서 인공지능 기술에 활용되는 기계학습(machine learning)과 딥러닝(deep learning)으로 스스로 학습하는 방법에 대한 관심을 가지게 되었으며 이러한 방식이 교육에 어떻게 활용될 수 있을 지와 인공지능을 어떻게 수학교육에 적용할 수 있을지에 대한 관심이 대두되고 있다. 이에 정보통신기술의 발달에 따른 수학교육의 변화를 고찰해 봄으로써 수학교육의 변화가 인공지능과 어떠한 연과성이 있는지를 살펴보는데 의의가 있다고 할 수 있다.

Teaching and Learning Models for Mathematics using Mathematica (I)

  • Kim, Hyang-Sook
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제7권2호
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    • pp.101-117
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    • 2003
  • In this paper, we give examples of models we have created for use in university mathematics courses. We explain the concept of linear transformation, investigate the roles of each component of 2 ${\times}$ 2 and 3 ${\times}$ 3 transformation matrices, consider the relation between sound and trigonometry, visualize the Riemann sum, the volume of surfaces of revolution and the area of unit circle. This paper illustrates how one can use Mathematica to visualize abstract mathematical concepts, thus enabling students to understand mathematics problems effectively in class. Development of these kinds of teaching and learning models can stimulate the students' curiosity about mathematics and increase their interest.

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공과대학 신입생의 자기주도학습준비도와 수학기초학력평가성적 및 대학수학학업성취도 관계 연구 (A Study of Relationship between SDLR, the Score of Mathematics Diagnostic Assesment and Achievement in College Mathematics of Engineering Students)

  • 이경희;권혁홍
    • 공학교육연구
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    • 제16권1호
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    • pp.54-63
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    • 2013
  • This study aims to investigate relationships among self-directed learning readiness [SDLR], prerequisite mathematics test score and achievement level in college mathematics. For this purpose, the adjusted SDLRS (self-directed learning readiness scale) of Guglielmino's model, the score of mathematics diagnostic assesment and first semester college mathematics score among 424 freshmen students of engineering department of D university in 2011 were used and analyzed. Research results are as follows: Firstly, freshmen of engineering department had average level of SDLR, though they showed relative low level of self-direction, passion and time control ability. Secondly, considering SDLR with the mathematics diagnostic assesment score (3 groups: high, middle, low), there were no statistically significant differences. Thirdly, concerning SDLR according to the achievement level in college mathematics, a group which acquired good achievement showed higher level of SDLR compared with middle or lowachievement group. Differences among three groups were statistically significant. Lastly, there were affirmative relationships between SDLR, mathematics diagnostic assesment score and achievement in college mathematics. Furthermore, mathematics diagnostic assesment score and achievement level in college mathematics were found to be the most closely related. Based on the results, we suggest strategies to elevate SDLR of engineering department students and improve their achievement in college mathematics.

GSP를 활용한 기하교육 사례 연구 (A case study of Geometry Education using the GSP)

  • 한동숭;조지연
    • 한국학교수학회논문집
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    • 제6권1호
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    • pp.87-100
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    • 2003
  • In this paper we have studied the efficiency of GSP which is widely used in the school. In order to study the efficiency of the computer aided education we divided the students into two groups in the Namwon Middle School : One group called "A" is the classes using GSP, the other called "B" is the classes not using GSP. In the three times examination group A got good marks better than group B. In the questionnaires about the interest in geometry group A is higher than group B. By the results of this study the effort on education with using various multi media can come into the utmost educational effect. Therefore it is necessary for the teachers at school to have self training continuously in order to carry a higher educational quality.

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