• Title/Summary/Keyword: 수학적 창의성

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초등수학경시대회 문항분석을 통한 초등수학 영재교육 활성화 방안에 관한 연구

  • Kim, Hae-Gyu;Kim, Seung-Jin
    • Communications of Mathematical Education
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    • v.16
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    • pp.345-365
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    • 2003
  • 우리 나라 수학경시대회의 운영은 선발에 초점이 맞추어져 있어, 지속적인 교육 및 피드백이 결여되어 있고 단순히 경시대회성 기출문제만을 반복하여 출제하고 있는 실정이다. 그러므로 영재의 특성을 고려하고, 영재성을 키워주기 위해서는 무엇보다도 수학 창의적 문제해결력을 신장시켜줄 수 있는 학습 자료의 개발이 시급하다. 따라서 본 논문에서는 초등수학경시대회 기출문제와 시중에 출판되어 있는 경시대회 준비를 위한 학습자료를 분석하여, 일선 초등학교 현장에서 실시되고 있는 영재교육을 활성화시킬 수 있는 방안을 연구하는 데 목적이 있다.

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A Paper on the Pedagogy Focused in the Mathematical Thinking Mathematicians used (수학자가 수학을 탐구하듯이 학습자도 수학을 탐구할 수 있는 방안 모색)

  • Kim, Jin-Ho
    • The Mathematical Education
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    • v.44 no.1 s.108
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    • pp.87-101
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    • 2005
  • The purpose of this paper is to propose a teaching method which is focused on the mathematical thinking skills such as the use of induction, counter example, analogy, and so on mathematicians use when they explore their research fields. Many have indicated that students have learned mathematics exploring to use very different methods mathematicians have done and suggested students explore as they do. In the first part of the paper, the plausible whole processes from the beginning time they get a rough idea to a refined mathematical truth. In the second part, an example with Euler characteristic of 1. In the third, explaining the same processes with ${\pi}$, a model modified from the processes is designed. It is hoped that the suggested model, focused on a variety of mathematical thinking, helps students learn mathematics with understanding and with the association of exploring entertainment.

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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.

A Study on Development of Program connecting with math-story books and web 2.0map(Google map) (수학교양도서와 웹 2.0지도(구글맵) 매쉬업을 통한 수학 이야기 지도 만들기 프로그램 개발)

  • Kim, Sang-Mi;Kwon, Oh-Nam
    • Journal of the Korean School Mathematics Society
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    • v.14 no.4
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    • pp.443-458
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    • 2011
  • There has been a lively discussion on improving Korean students' academic achievement and the imbalance in their recognition of the value of mathematics. In this context, there is a need for a program that enables the majority students who regards mathematics as a subject for the entrance examination to recognize the practicality and historicity of mathematics. Educational books on mathematics in everyday life or the history of mathematics are also expected to serve as an effective tool. In addition, Web 2.0 Map is another means of representing mathematics in everyday life and the history of mathematics in connection with the practical context. The active storytelling process in which mathematics in the practical context in mathematical educational books is represented in Web 2.0 Map is expected to help to understand in depth the practicality and historicity of mathematics. Nevertheless, mathematical educational books and Web 2.0 Map may lead to a considerable variety of outcomes and speeds if carrying out tasks depending on the student's competence and may have practical difficulties in being operated in class. These concerns, however, can be resolved through the creative activity programs adopted in conformance with the 2009 revised curriculum. Therefore, this study intends to develop a program for creating mathematical story maps through mathematical educational books and the Mashup of Web 2.0 Map in accordance with the process of developing activity programs. This study also intends to determine its effectiveness in enabling students to recognize the practical and historical values of mathematics.

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A Comparative Analysis on the Mathematical Problem Posing according to the Tasks with Different Degrees of Structure by the Gifted and Non-gifted Elementary Students (과제 구조화 정도에 따른 초등 영재학생과 일반학생의 수학 문제제기 비교분석)

  • Lee, Hyeyoung;Park, Mangoo
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.3
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    • pp.309-330
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    • 2018
  • The purpose of this study is to identify possibility of a mathematical problem posing ability by presenting problem posing tasks with different degrees of structure according to the study of Stoyanova and Ellerton(1996). Also, the results of this study suggest the direction of gifted elementary mathematics education to increase mathematical creativity. The research results showed that mathematical problem posing ability is likely to be a factor in identification of gifted students, and suggested directions for problem posing activities in education for mathematically gifted by investigating the characteristics of original problems. Although there are many criteria that distinguish between gifted and ordinary students, it is most desirable to utilize the measurement of fluency through the well-structured problem posing tasks in terms of efficiency, which is consistent with the findings of Jo Seokhee et al. (2007). It is possible to obtain fairly good reliability and validity in the measurement of fluency. On the other hand, the fact that the problem with depth of solving steps of 3 or more is likely to be a unique problem suggests that students should be encouraged to create multi-steps problems when teaching creative problem posing activities for the gifted. This implies that using multi-steps problems is an alternative method to identify gifted elementary students.

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Achievement Standards of Geometry According to the 2011 Revision of the National Mathematics Curriculum (2009 개정 교육과정에 따른 중학교 수학과 교육과정의 기하 성취기준에 대한 논의)

  • Lee, Hwan Cheal;Kim, Sun Hee;Ko, Ho Kyoung
    • Journal of Educational Research in Mathematics
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    • v.22 no.4
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    • pp.603-617
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    • 2012
  • The 2011 Revision of the National Mathematics Curriculum, amended based on the 2009 Curriculum version, focuses on three important issues: 1) 20% reduction of the previous curriculum contents; 2) improvement of students' creativity through mathematical processes; 3) flexible management of curriculum. Despite the importance in applications, it has not provided a manual for textbook authors and teachers. Consequently, they are likely to encounter difficulties in interpreting goals of learning achievements. This paper identifies the purposes and contents of achievement standards, and discusses how to implement it at school.

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A Mathematical Approach to Measure Attractiveness of a Local Park (도시공단 매력도 측정의 수학적 접근: Ewing and kulka의 모델응용)

  • Hong, Sung Kwon
    • Journal of the Korean Institute of Landscape Architecture
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    • v.16 no.3
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    • pp.39-45
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    • 1989
  • 기존의 많은 연구가 도시공원의 중요성을 밝히고 있지만, 보다 만족스런 공원조성을 위한 기본 자료의 부족으로 전통적인 설계방법은 경침이나 설계기준(standard)에 크게 의존하는 것이 현실이다. 그러나 전통적인 설계방법은 시간적, 사회적으로 변화하는 이용자의 욕구 충족과 창의성의 제고에는 문제점이 있다. 이러한 현상의 부분적인 이유는 객관적이고 보편성이 있는 공원 매력도 측정 방법의 결여로, 각 공원에서의 이용자 만족도의 그 이유를 체계적으로 분석하여 실제상황에의 적용이 어렵기 때문이다. 이에 본 연구는 공원의 매력도가 같다면 가장 가까운 공원을 이용할 것이라는 가정하에서 가장 논리적인 수학적 방법을 통해 기존 도시공원내의 매력도를 산출할 수 있는 모델을 제시하였다. 제시된 모델은 두개 이상의 공원이 존재해야 하며, 응답자의 거주지가 확인되어야 측정이 가능하다.

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Elementary School Computer Education with the Focus on Case Study Using LOGO Programming Language and Fractal Geometry Theory (로고 프로그래밍 언어와 프랙탈 기하이론을 이용한 초등학교 컴퓨터교육 활용 연구)

  • Ko, Yeong-Hae;An, Jae-Ho;Park, Nam-Je
    • Proceedings of the Korea Information Processing Society Conference
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    • 2011.04a
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    • pp.1441-1444
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    • 2011
  • 본 논문에서는 초등학교 교육과정에서 교육목표로 다루고 있는 창의성이라는 주제와 학교현장에서 초등학생들에게 쉽게 접목시킬 수 있는 교육용 프로그래밍 언어인 LOGO 프로그래밍과 프랙탈 기하이론을 초등학교 컴퓨터교육에 활용하기 위한 방안을 제시한다. 향후 컴퓨터교육과정은 알고리즘과 프로그래밍 영역이 포함될 예정이며, 이러한 알고리즘과 프로그래밍 교육에는 교육용 프로그래밍 언어 사용이 필수적이며 이의 활용에 대한 연구가 시급한 상황이다. LOGO 프로그래밍과 프랙탈을 함께 지도함으로서 규칙성, 반복성, 유사성, 닮음 등 수학적 개념을 쉽게 이해하는 것이 가능하므로, 이를 활용하여 초등학교 수학과 교육과정에서 반드시 학습해야 할 도형, 측정, 규칙성과 문제 해결 영역과 연계하여 지도하면 좋은 효과를 얻을 수 있을 것으로 기대된다.

Viewpoints of Mathematics gifted students, parents, teachers about Gifted Education (수학영재아, 부모, 교사가 본 영재교육)

  • Kang, Yun-Soo;Song, Se-Eun
    • Communications of Mathematical Education
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    • v.21 no.1 s.29
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    • pp.33-50
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    • 2007
  • In this study, we made a survey for gifted students of science education center for gifted youth in a university to find their viewpoints about giftedness, need of gifted education, attribution. Using the results of the survey, we interviewed mathematical gifted student, parents, teachers to find their viewpoints about giftedness, need of gifted education, attribution. From this, we found the followings: First, Parents and teachers selected intellectual ability as a most important factor of giftedness. On the other hand, gifted students selected creativity as it. Second, gifted students show different communication ability depending on the education place. Third, mathematical gifted students attributed their problem solving ability to interior cause. On the other hand, parents and teachers of gifted students attributed students' problem solving ability to exterior cause.

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Convergence Education in Mathematics: Issues and Tasks (수학교과와 융복합교육: 담론과 과제)

  • Ju, Mi-Kyung;Moon, Jong-Eun;Song, Ryoon-Jin
    • School Mathematics
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    • v.14 no.1
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    • pp.165-190
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    • 2012
  • Recently, the Korean government develops a variety of policies for the improvement of school education. Among the policies, convergence education is considered as essential. Moreover, as the policies declare that mathematics is expected to play a central role in the convergence education, mathematics educators are required to seek for ways of how to approach convergence education in mathematics. In this context, this paper reviewed diverse viewpoints on what kind of contribution convergence education make to the improvement of school mathematics. While the argument constructed around the issue of national competitiveness is the most prevalent in the political discourse, this paper recommends to introduce the epistemological norms raised by the knowledge integration through history. In addition, this paper presents both domestic and international programs to discuss how to develop educational program for convergence education in mathematics.

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