• 제목/요약/키워드: research on mathematical creativity education

검색결과 88건 처리시간 0.023초

설계 수업에서 균형적인 팀 편성을 위한 수리적 모형 (A Mathematical Model for Balanced Team Formation in Capstone Design Class)

  • 김종환
    • 공학교육연구
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    • 제21권4호
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    • pp.28-34
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    • 2018
  • Design class through team activities is increasing in engineering education. Team-based education has been known to improve students' creativity, problem solving ability, cooperative ability, self-directed learning ability, and communication ability. How to organize a team is an important issue that affects the performance of team activities as well as student satisfaction. However, previous studies have focused on the causal relationship between team formation and the team's performance. This paper deals with how to organize a balanced team in a real class. When the basic characteristic values of students are givens, the aim is to make the sum of the characteristic values as fair as possible for each team. We propose a mathematical team formation model and show how to apply it through case studies.

토픽모델링을 활용한 국내외 수학교육 연구 동향 비교 연구 (A comparative study of domestic and international research trends of mathematics education through topic modeling)

  • 신동조
    • 한국수학교육학회지시리즈A:수학교육
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    • 제59권1호
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    • pp.63-80
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    • 2020
  • 본 연구는 2000년부터 2019년까지 7종의 KCI 등재지에 게재된 3,114편의 수학교육 논문와 5종의 SSCI 등재지에 게재된 1,636편의 수학교육 논문의 연구 동향을 텍스트 마이닝 기술의 하나인 토픽모델링을 사용하여 비교·분석하였다. 연구 결과, 국내외 수학교육 연구는 16개의 유사한 주제와 7개의 상이한 주제로 분류할 수 있었다. 연구 결과, 예비교사와 관련된 주제는 국내와 해외 수학교육 연구에서 모두 높은 비중을 차지하고 있는 연구주제였다. 현직교사 재교육에 관한 연구주제는 국내 연구에서는 하나의 독립된 주제로 나타나지 않았지만, 해외 연구에서 많은 관심을 받는 주제로 나타났다. 해외 수학교육 연구에 비해 국내에서는 수학적 역량에 관한 연구의 관심이 높았지만, 이는 문제해결역량과 창의·융합역량에 치중되는 경향이 있었다. 반면, 해외 수학교육에서는 정체성과 공정성에 관한 연구가 강조되었다.

영재교육을 위한 수학적 모델링 프로그램의 개발 및 적용 :보로노이 다이어그램과 들로네 삼각분할을 중심으로 (Development and application of program for mathematically gifted students based on mathematical modeling : focused on Voronoi diagram and Delaunay triangulation)

  • 유홍규;윤종국
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제31권3호
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    • pp.257-277
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    • 2017
  • 본 연구의 주된 목적은 크게 두 가지로 나눌 수 있다. 첫째, 최근 수학적 모델링이 강조되는 상황에서 보로노이 다이어그램과 들로네 삼각분할을 주제로 영재교육을 위한 수학적 모델링 프로그램을 개발하는 것이다. 둘째, 본 연구에서 개발한 수학적 모델링 프로그램을 실제 영재교육 수업에 적용한 결과를 분석하여 수학적 모델링 수업을 설계하는 현직교사와 융합형 영재프로그램을 개발하는 영재교사에게 도움을 주고자 한다.

On the Design of Logo-based Educational Microworld Environment

  • Cho, Han-Hyuk;Song, Min-Ho;Lee, Ji-Yoon;Kim, Hwa-Kyung
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제15권1호
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    • pp.15-30
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    • 2011
  • We study to design educational Logo-based microworld environment equipped with 3D construction capability, 3D manipulation, and web-based communication. Extending the turtle metaphor of 2D Logo, we design simple and intuitive symbolic representation system that can create several turtle objects and operations. We also present various mathematization activities applying the turtle objects and suggest the way to make good use of them in mathematics education. In our microworld environment, the symbolic representations constructing the turtle objects can be used for web-based collaborative learning, communication, and assessments.

정규수업과 연계된 수학과의 웹 기반 가정학습에 대한 연구 (On a Web-Based Home Study in the Regular Lessons of Mathematics Education)

  • 류시규;김재욱
    • 한국수학교육학회지시리즈A:수학교육
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    • 제41권1호
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    • pp.59-78
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    • 2002
  • In a globalization and information society in the 21st century, the emphasis of education is on producing people who can create intellectual value. To meet the purpose in mathematics education, students should be taught to be able to understand basic logics and principles and exchange mathematical information each other. Also they had better be guided to study on their own at home in an effective way. In reality, however, most of the home study does not go beyond confirming the same homework. It is very difficult for students to plan systematic preparation and review of their lessons and study on their own. Moreover there seems to be no integration between the lessons students receive at school and in private classes. Therefore the need for more systematic home study in relation to school lessons is high to maximize the teaming effect. Studying through Web has little restriction in terms of time and space. Students can collect useful information inexpensively and share their learning assignment with each other. But mathematics education through Web has not yet been developed in such a way as to see a positive result from it. This research intends to develop a web site where students can study mathematics systematically in a self-guided way. The research methods applied included survey, student discussion and online home study. The questionnaires were designed to figure out students'and parents'changes in their concept of mathematics home study. The research also tried to look for ways to cut down the burden of expensive private lessons in mathematics. The student discussions were made up of problem-making and problem-solving. The discussion procedure was analysed so as to check if students used their creativity while they were working. As stated above, the research aims to develop a web site to support effective home study, enhance students' mathematical ability and reduce the burden of private lessons.

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수학적 은유의 사회 문화적 분석 (Analysis of Mathematical Metaphor from a Sociocultural Perspective)

  • 주미경
    • 대한수학교육학회지:수학교육학연구
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    • 제11권2호
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    • pp.239-256
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    • 2001
  • The notion of metaphor has been increasingly popular in research of mathematics education. In particular, metaphor becomes a useful unit for analysis to provide a profound insight into mathematical reasoning and problem solving. In this context, this paper takes metaphor as an analytic unit to examine the relationship between objectivity and subjectivity in mathematical reasoning. Specifically, the discourse analysis focuses on the code switching between literal language and metaphor in mathematical discourse. It is shown that the linguistic code switching is parallel with the switching between two different kinds of mathematical knowledge, that is, factual knowledge and mathematical imagination, which constitute objectivity and subjectivity in mathematical reasoning. Furthermore, the pattern of the linguistic code switching reveals the dialectical relationship between the two poles of mathematical reasoning. Based on the understanding of the dialectical relationship, this paper provides some educational implications. First, the code-switching highlights diverse aspects of mathematics learning. Learning mathematics is concerned with developing not only technicality but also mathematical creativity. Second, the dialectical relationship between objectivity and subjectivity suggests that teaching and teaming mathematics is socioculturally constructed. Indeed, it is shown that not all metaphors are mathematically appropriated. They should be consistent with the cultural model of a mathematical concept under discussion. In general, this sociocultural perspective on mathematical metaphor highlights the sociocultural organization of teaching and loaming mathematics and provides a theoretical viewpoint to understand epistemological diversities in mathematics classroom.

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우리나라 수학교육의 문제점 진단을 위한 조사 연구 (A Survey Research to Diagnose the Problems of Mathematics Education ID Korea)

  • 박경미;김동원
    • 한국수학교육학회지시리즈A:수학교육
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    • 제50권1호
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    • pp.89-102
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    • 2011
  • The purpose of this study is to diagnose the problems of mathematics education in Korea by conducting an in-depth analysis of international comparative studies, a Delphi method, and a survey. Further analysis of TIMSS and PISA results also reveals several negative aspects of mathematics education practice in Korea. The mathematics education experts' opinions collected by Delphi method were classified into 12 categories: private education and test-driven education, curriculum and textbooks, lessons, evaluation, teacher, learner, teaching aid and facilities. affective aspects of mathematics, discrepancy between a theory and a practice, preservice/inservice teacher education and teacher employment test, education policy, and overall. Another survey was conducted to focus more on the development of curriculum which is a pending issue. Considering the fact that mathematics education should contribute to improve practical aspect as well as elaborate theoretical aspect, this study lays a foundation of improvement of mathematics education in Korea.

Abacus Numerals for Rapid and Sufficient Mathematics Learning for Enhancing Creativity

  • Hayakawa Yoshinori
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제9권3호
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    • pp.243-256
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    • 2005
  • Abacus numerals were developed using the concept of the binary system to form decimal numerals. This would allow addition, subtraction, multiplication, and division to be performed based solely on the knowledge of the 14 forms of the numerals and three simple rules. These numerals were taught to 260 elementary school pupils of 3rd and 4th grade. After 90 minutes of instruction, they, nearly all, were able to understand principles to add, and to subtract, and partly to multiply using Abacus Numerals. Protected Abacus Numerals are proposed against forgery. An International Numeration System is proposed based on the form of Abacus Numerals to facilitate international communication. A new type of abacus is proposed.

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과학 중심 융합인재교육(S-STEAM) 프로그램이 유아의 창의성 및 다중지능에 미치는 영향 (The effects of S-STEAM program on creativity and multiple intelligences of young children)

  • 송민서;김형재
    • 한국산학기술학회논문지
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    • 제17권4호
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    • pp.361-372
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    • 2016
  • 본 연구는 S-STEAM 프로그램을 개발하고, 본 프로그램이 유아의 창의성 및 다중지능에 미치는 영향을 검증하는데 그 목적이 있다. 이를 위해 유아과학교육과 융합인재교육에 대한 문헌과 선행연구 분석을 토대로 S-STEAM 프로그램을 개발하였다. 효과 검증을 위해 S시에 소재한 어린이집 만 4세 유아 29명(실험집단 14명, 비교집단 15명)을 대상으로 실험집단에게 S-STEAM 프로그램을 비교집단에게 누리과정에 기초한 과학활동을 실시하였다. 연구도구는 창의성 측정도구 TTCT(도형A, B형)를 실시하였고, 교사에게 교사평가 유아 다중지능 검사도구를 실시하였다. 자료 분석은 본 프로그램이 창의성 및 다중지능에 미치는 영향을 분석하기 위해 공분산분석을 실시하였다. 연구결과, 첫째, 본 S-STEAM 프로그램은 전체 창의성과 창의성 하위요인 유창성, 독창성, 추상성, 정교성 및 개방성 모두에 긍정적인 영향을 미치는 것으로 나타났다. 둘째, 본 S-STEAM 프로그램은 전체 다중지능과 다중지능 하위영역 중 개인이해지능을 제외한 언어, 음악, 공간, 논리 수학, 신체 운동, 대인관계, 자연친화 지능에 긍정적인 영향을 미치는 것으로 나타났다.

마인드맵을 이용한 수학학습이 학생들에게 미치는 영향 (Impacts of Mind-map on Students' Learning Mathematics)

  • 정인철
    • 한국수학교육학회지시리즈A:수학교육
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    • 제43권2호
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    • pp.139-149
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    • 2004
  • This study was initiated by the idea to help students to be more ideally educated following the 7th curriculum that seeks the proactive students along with creativity for the 21st century. Mind-map was the main tool throughout the study and this was performed to find answers for the following questions : 1) to examine how students' drawing a mind-map affects their mathematical tendency or emotional aspects (motivation for study, interest, etc); 2) to investigate the types and characteristics of mind-maps that students draw; 3) to analyze advantages and obstacles that they experience during the process of drawing a mind-map and provide some suggestions for overcoming them. The research shows that students were highly motivated by the drawing a mind-map. There are types of mind-maps: tree shape and radial shape, and each shape has its own advantages. But the more important factor for being a good mind-map is where and how each concept is located and connected. Although it is true that drawing a mind-map helped students to see the bigger structure of what they learned, but there are several hardships taken care of. The study suggests to extend the experiment to various levels of students and diverse contents.

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