• 제목/요약/키워드: analyzing mathematics

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개인지도가 대학 교양수학 학업성취도 및 수학적 태도에 미치는 영향

  • 정미연;표용수
    • East Asian mathematical journal
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    • 제28권4호
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    • pp.435-451
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    • 2012
  • In this paper, we carry out personal lessons in order to improve the problem-solving abilities of students who have a low level of university general mathematics, and find the efficient teaching method of the personal lessons by analyzing the mathematic achievement of the participating students.

WOVEN g-FRAMES IN HILBERT C-MODULES

  • Rajput, Ekta;Sahu, Nabin Kumar;Mishra, Vishnu Narayan
    • Korean Journal of Mathematics
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    • 제29권1호
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    • pp.41-55
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    • 2021
  • Woven frames are motivated from distributed signal processing with potential applications in wireless sensor networks. g-frames provide more choices on analyzing functions from the frame expansion coefficients. The objective of this paper is to introduce woven g-frames in Hilbert C∗-modules, and to develop its fundamental properties. In this investigation, we establish sufficient conditions under which two g-frames possess the weaving properties. We also investigate the sufficient conditions under which a family of g-frames possess weaving properties.

수학과 평가틀 비교 연구 (A Comparison Study on Mathematics Assessment Frameworks)

  • 황우형;구자형
    • 한국학교수학회논문집
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    • 제9권4호
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    • pp.497-520
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    • 2006
  • 본 연구의 목적은 현재 국내외의 대규모 평가에서 사용하고 있는 평가틀을 비교 분석하여 앞으로 평가틀 연구의 기초를 구축하는데 초점을 두고 있으며, 이를 위해서 6가지의 평가틀을 서로 비교분석하였다. TIMSS, PISA, NAEP, NECAP의 평가틀에서 볼 수 있는 특징들을 기술하였으며, 우리나라, 미국, 그리고 국제연구의 평가틀을 비교 분석하였다.

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중학교 2학년용 수학 수행평가문항 개발 및 적용에 관한 연구 -서술형과 실험.실습형을 중심으로- (The Development of Mathematical Performance Assessment for the 7th Graders)

  • 박미숙;류희찬
    • 대한수학교육학회지:학교수학
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    • 제1권1호
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    • pp.187-216
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    • 1999
  • The purpose of this study is to develop mathematics performance assessment items for the 8th graders and to analyze their performance ability. First, five-themes were selected : 'Calculator', 'Cut and Paste', 'Rule finding', 'Place Assignment', 'My thinking'. Then, the assistance of Mathematics education specialists and Teachers, 10 P. A. items consisting of two subtasks and their evaluation rubric were developed. Then, items were revised by the results of pilot test. And, final version of items were administrated to the 8th graders of three regions(Seoul, Chongiu, Chungp$\acute{y}$ong). Through analyzing the performance ability of the subjects assessment items, the following conclusion were obtained: They were very insufficient in the ability to find some patterns in the given problem situation and to describe logically the patterns in terms of mathematical terminology. It is believed because they were familiar with the objective test to take one or short answer.

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초등학교 통계 영역에서 NIE를 통한 학습이 학업성취에 미치는 효과 (The Effects of NIE on Statistics Learning of Elementary School)

  • 서지영;표용수
    • 한국학교수학회논문집
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    • 제13권4호
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    • pp.499-524
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    • 2010
  • 본 본문에서는 학생 스스로 활동을 통해 통계적 개념, 자료 분석력, 문제해결력 등을 기를 수 있는 NIE(Newspaper in Education)을 통한 학습을 초등수학 학습지도에 적용하여, NIE를 활용한 학습이 초등학생의 통계 영역 학업성취에 미치는 효과를 살펴보고, 보다 효율적인 초등수학 학습지도 방안을 찾아보고자 한다.

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ON STABILITY AND BIFURCATION OF PERIODIC SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS

  • EL-SHEIKH M. M. A.;EL-MAHROUF S. A. A.
    • Journal of applied mathematics & informatics
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    • 제19권1_2호
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    • pp.281-295
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    • 2005
  • The purpose of this paper is to study a class of delay differential equations with two delays. First, we consider the existence of periodic solutions for some delay differential equations. Second, we investigate the local stability of the zero solution of the equation by analyzing the corresponding characteristic equation of the linearized equation. The exponential stability of a perturbed delay differential system with a bounded lag is studied. Finally, by choosing one of the delays as a bifurcation parameter, we show that the equation exhibits Hopf and saddle-node bifurcations.

A Stage-Structured Predator-Prey System with Time Delay and Beddington-DeAngelis Functional Response

  • Wang, Lingshu;Xu, Rui;Feng, Guanghui
    • Kyungpook Mathematical Journal
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    • 제49권4호
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    • pp.605-618
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    • 2009
  • A stage-structured predator-prey system with time delay and Beddington-DeAngelis functional response is considered. By analyzing the corresponding characteristic equation, the local stability of a positive equilibrium is investigated. The existence of Hopf bifurcations is established. Formulae are derived to determine the direction of bifurcations and the stability of bifurcating periodic solutions by using the normal form theory and center manifold theorem. Numerical simulations are carried out to illustrate the theoretical results.

초등 수학 수업에서의 소프트웨어(Graphers) 활용 (Using an educational software Graphers in elementary school mathematics)

  • 황혜정
    • 대한수학교육학회지:학교수학
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    • 제1권2호
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    • pp.555-569
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    • 1999
  • The graph unit(chapter) is a good example of a topic in elementary school mathematics for which computer use can be incorporated as part of the instruction. Teaching graph can be facilitated by using the graphing utilities of computers, which make it possible to observe the property of many types of graphs. This study was concerned with utilizing an educational software Graphers as an instructional tool in teaching to help young students gain a better understanding of graph concepts. For this purpose, three types of instructional activities using Graphers were shown in the paper. Graphers is a data-gathering tool for creating pictorial data chosen from several data sets. They can represent their data on a table or with six types of graphs such as Pictograph, Bar Graph, Line Graph, Circle Graph, Grid Plot and Loops. They help students to select the graph(s) which are the most appropriate for the purpose of analyzing data while comparing various types of graphs. They also let them modify or change graphs, such as adding grid lines, changing the axis scale, or adding title and labels. Eventually, students have a chance to interpret graphs meaningfully and in their own way.

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각뿔과 각뿔대의 부피에 대하여 산학서("산학정의(算學正義)(상편(上編))", "구장술해(九章術解)")와 한국.중국수학교과서와의 내용 비교연구

  • 박영식;최길남
    • East Asian mathematical journal
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    • 제26권4호
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    • pp.535-551
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    • 2010
  • In this paper, we investigate the methodology to calculate the volume of the pyramid and frustum of the pyramid that is found in Gu Jang Sel Hae and San Hak Jeong Ui(The first volume)text. Comparing and analyzing content in Korean and Chinese mathematics education textbooks that uses as a foundation the aforementioned methodology, it is proposed that in future development of mathematics education curriculum the area of solid geometry be taught in greater depth in basic study guides.

과제분담 협동학습을 응용수학에 적용한 사례 연구 (A Study of Applying Jigsaw Model to Applied Mathematics)

  • 남혜원
    • 공학교육연구
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    • 제22권5호
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    • pp.13-19
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    • 2019
  • It is important to encourage students who are having difficulty learning mathematics and majors due to lack of basic knowledge, and encourage them to improve their academic performance by focusing on and participating in class. The purpose of this study is to confirm the applicability of the Jigsaw Method by analyzing the change of the learner's academic achievement and the attitude of the learner's mathematics by applying the Jigsaw Model. During the four weeks, the Jigsaw Model was applied to 30 experimental students and the instructor-led lectures were given to 36 students in the comparative group. As a result of the study, it was confirmed that the average of the experimental groups applying the Jigsaw model was higher than the average of the comparative group in the lecture class. The results of the survey showed that the Jigsaw Model increased class concentration and participation, helped self - directed learning, and had high learning satisfaction.