• Title/Summary/Keyword: 수학적 창의성

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간학문적 접근을 통한 영재교육프로그램 개발에 관한 연구

  • Bang, Seung-Jin;Lee, U-Sik;Kim, Heon-Nam
    • Communications of Mathematical Education
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    • v.17
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    • pp.141-158
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    • 2003
  • 영재의 특성은 다양한 분야에 대한 관심과 재능을 가지고 있으며 지적 호기심에 대한 도전의식이 강하다. 영재교육프로그램은 이러한 영재들의 지적호기심을 자극하여 영재로서 갖추어야할 제반 능력들을 균형 있게 길러 줄 수 있어야한다. 그러나 현재까지 개발된 대부분의 영재교육프로그램들은 여전히 논리와 이론을 중시하여 수리능력, 창의적 문제해결력 등 대부분 지적 능력신장에 치중하는 경향이 있다. 이러한 프로그램만으로는 교과별 학습을 통하여 얻게 되는 개념과 원리들을 생활과 관련지어 이해하거나 다양한 분야에 적용하는 능력을 길러주는데는 한계가 있다. 따라서, 영재아들의 잠재능력을 계발하고, 교과간의 연결능력을 길러 새로운 분야를 창의적으로 개척할 수 있는 능력을 신장하기 위해서는 수학분야에 집중된 주제를 다루기보다는 개방적인 주제를 다루는 간학문형 프로그램 개발이 필요하다. 본 연구에서는 수학분야나 지적영역에만 국한되는 편협성을 탈피하여 보다 창의적인 역량(creative competency)을 신장할 수 있는 수학과 관련성이 있는 간학문형(間學文型, inter-disciplinary)프로그램 개발 방안과 그 사례를 제시하고자한다.

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Exploring Student's Ability to Improve Debate Based on Mathematics Competencies (수학교과역량에 기반한 학습자의 토론 능력 향상 방안 탐색)

  • Kim, Soocheol
    • Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology
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    • v.8 no.12
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    • pp.1-10
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    • 2018
  • The purpose of this study is to analyze the mathematics competencies required in middle school Korean language class to find out ways to improve student's debate ability. The results of the analysis showed that creativity and information processing ability in research activities; problem solving ability, creativity, information processing ability in planning activities; reasoning and creativity, information processing ability in rebutting activities; problem solving and reasoning in summary activities. In cross-inquiry activities, problem solving and reasoning, information processing, and creativity are required; creativity in final focus; problem solving and reasoning ability in judgment and general review; preparation time activities require problem solving, reasoning, and information processing ability. Therefore, in order to improve the debate ability of the students, it is required that the mathematics competencies such as problem solving, reasoning, information processing, and creativity are increased.

Ability to Shift a Viewpoint and Insight into Invariance in Stage of Mathematical Problem Solving Process (수학 문제 해결 과정에서 사고(발상)의 전환과 불변성의 인식)

  • Do, Jong-Hoon
    • The Mathematical Education
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    • v.48 no.2
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    • pp.183-190
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    • 2009
  • This is a following study of the preceding study, Flexibility of mind and divergent thinking in problem solving process that was performed by Choi & Do in 2005. In this paper, we discuss the relationship between ability to shift a viewpoint and insight into invariance, another major consideration in mathematical creativity, in the process of mathematical problem solving.

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Development and Its Applications of the CAS-K in Mathematics (수학에서의 창의적 태도의 측정도구 개발과 그 적용)

  • Kim Boo-Yoon;Lee Ji-Sung
    • The Mathematical Education
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    • v.45 no.1 s.112
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    • pp.25-34
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    • 2006
  • In this paper, we focus on the creative attitude in mathematics as one aspect of mathematical creativity. To measure the creative attitude, we first introduce some prior studies and CAS (Creative Attitude Scale) designed by Noboru Saito in Japan. We develop the CAS-K (Creative Attitude Scale-Korea) including 33 items of 7 factors based on CAS which has 27 items. The factors are fluency, appropriateness, positiveness, independency, concentration, convergency, and accuracy. In CAS-K, it is important to give the information about students' creative attitude for each factor. Thereby, CAS-K can be useful sources of creative attitude to foster mathematical creativity. Rather than the total scores, we emphasize applications and results from CAS-K relating to the 7 factors.

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A Study on Learning to Creative Solve Problems using RDS (RDS를 이용한 창의적 문제해결 학습방법에 관한 연구)

  • Hong, Seong-Yong
    • Proceedings of the Korean Information Science Society Conference
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    • 2010.06a
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    • pp.154-155
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    • 2010
  • 21세기 지식정보화 시대의 정보과학기술은 중요한 교육으로 발전하고 있으며, 최근 6T를 기반으로 융합 IT는 미래사회의 중요한 과학기술로 연구 발전 시켜나가고 있다. 최근 이러한 융합적 IT기술의 근원은 창의성 계발과 아이디어를 중요시하고 있으며, 창조적 인재육성을 지향하고 있다. 창조적 인재육성은 창의적 문제해결 학습에 의한 두뇌의 발달과 창의적 설계를 가능하게 하므로 새로운 학습방법 연구가 활발히 진행 되어야 할 필요가 있다. 본 논문에서는 RDS를 이용한 창의적 문제해결 학습방법에 대하여 설명하고, 융합 IT분야에서도 미래사회에 가장 많은 영향력을 가지고 있는 지능로봇 분야의 창의적 설계와 응용을 학습할 수 있는 방법에 대하여 소개한다. RDS는 지능로봇 시뮬레이션 프로그램을 서비스 컴포넌트 기반으로 창의적 설계에 대하여 3차원 가상공간에서 학습자가 직접 프로그램으로 제작 실험이 가능하도록 지원한다. 또한 수학적, 과학적 학습의 효과를 동시에 IT에 접목할 수 있는 종합교육학습 시스템으로 발전시켜 나갈 수 있다. 시각적 시뮬레이션 환경(VSE)은 학습자의 문제해결력을 위한 경험과 실험을 동시에 실시간 제공할 수 있는 것이 큰 장점이다.

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Development of mobile, online/offline-linked math learning content to promote group creativity (집단창의성 발현을 위한 모바일, 온/오프라인 연계 수학 학습 콘텐츠 개발)

  • Kim, Bumi
    • Journal of the Korean School Mathematics Society
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    • v.25 no.1
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    • pp.39-60
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    • 2022
  • In this study, in order to support the expression of group creativity of high school students, we developed mathematics learning contents linked with mobile and online/offline that obtain the maximum and minimum values of the function within a limited range. This learning content was developed in connection with the 'environment', a cross-curricular learning topic. We explored the concept of group creativity in school mathematics. Its manifestation process, elements of group creativity expression process, and mobile and on/offline implementation functions were also explored. Then, we developed a hybrid app, 'Making the Best Box that Thinks of the Earth', which can express group creativity through mobile and online/offline-linked cooperative learning. A learning management system (LMS) and a teaching and learning guidance plan were also developed to efficiently operate mobile and online/offline-linked math learning using the app in schools. Our study found that the hybrid app, 'Creating the Best Box that Thinks of the Earth', was suitable for promoting collective fluency and collective sophistication based on complementary-metacognitive interaction.

A Study on Game Content Development Methodology for Mathematics Learning to Raise Mathematical Intuition: for Elementary Geometry Learning (수학적 직관을 키우는 게임 콘텐츠 개발 방법 연구 : 초등 기하 영역을 중심으로)

  • Kim, Yoseob;Woo, Tack;Joo, Heeyoung
    • Journal of Korea Game Society
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    • v.13 no.6
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    • pp.95-110
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    • 2013
  • Current up-to-date courses of study put emphasis on raising creative students. However, the cramming methods of teaching mathematics in the school seems far from the creativity and the number of students who feels mathematics difficult is increasing. To overcome this situation, the government proposed 'the mathematics education using storytelling', which leads to lots of developments of mathematics using serious game in many areas. However most of the current serious games couldn't do away with the deductive framework of mathematics, which makes it impossible to achieve the purpose of raising creative students. This is because existing mathematics serious games have not deeply contemplated many aspects such as the purpose and theories of teaching and teaching mathematics. Therefore, in order to overcome the limitations of cramming methods in existing mathematics educations, this research proposes the new method of developing serious game contents for elementary geometry that is useful to improve mathematical intuition, based on RME, the theory of teaching/learning mathematics.

2007개정 교육과정에 따른 서술형 평가 자료 개발

  • Kim, Tae-Hwan
    • Proceedings of the Korea Society of Elementary Mathematics Education
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    • 2010.08a
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    • pp.157-172
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    • 2010
  • 본 연구는 현행 초등학교에서 이루어지고 있는 서술형 평가의 유형과 문제점을 분석해 보고 2007개정 교육과정에 따른 수학과 서술형 예시 평가 문항을 개발해 보는데 목표가 있다. 학교에서 시행되고 있는 평가 자료의 분석은 수학교과서, 국가수준 학업성취도 평가지, 서울시 교육청 보급 2010 장학자료집, 서울시내 학교에서 시행되고 있는 평가 문항을 분석해 보았다. 그리고 예시 서술형 평가 문항개발은 2007개정 교육과정에 따른 수학과 4학년을 대상으로 하였다. 평가 문항 분석의 결과는 문항 유형이 단순하고 교과서와 장학자료집의 수준을 벗어나지 못하고 있으며 창의성 영역의 평가는 거의 이루어지고 있지 않았다. 서술형 예시평가 문항의 개발은 수학과의 내용영역과 인지적 영역뿐 아니라 교육계의 화두가 되고 있는 창의성 영역까지 평가내용으로 포함시키고자 노력하였으며 영역별 1-2 문항을 개발하였다.

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A Case Study for Creativity Assessment of Problem Solving Process of Mathematically Gifted High School Students Utilizing Construction Protocol of GeoGebra (GeoGebra의 구성단계 기능을 활용한 고등학교 수학 영재 문제해결 과정의 창의성 평가 사례 연구)

  • Yang, Seonghyun
    • Journal of Gifted/Talented Education
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    • v.24 no.6
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    • pp.897-916
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    • 2014
  • In this study, we presented a teaching-learning method that can apply process-focused assessment for mathematical creativity of problem solving process of the gifted student, By necessity of appropriate teaching-learning program development to the level and ability of students who belong to high school gifted classes and courses evaluation for students who participated in education programs for the gifted. In the construction implementation process of students utilizing a kind of teaching-learning software, GeoGebra. We analyzed process of a variety of creative constructing figures using interfaces of GeoGebra and algebraic calculation. Utilizing 'Construction Protocol' and 'Navigation Bar' of GeoGebra, We identified computer languages, construction order, run times used in construction process of individual student and found mathematical creativity of students in the process. Comparing this result with prerequisite learning degree of individual student, We verified that this teaching-learning method can apply at the high school gifted classes as well as institutes for the gifted education in the city office.

Mathematics of Imagination, and Education of Imagining Mathematics (상상의 수학, 상상하는 수학의 교육)

  • Lee, Gi Don
    • Journal of Educational Research in Mathematics
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    • v.26 no.1
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    • pp.103-119
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    • 2016
  • Fusion and consilience have been important in many aspects of our education and culture. In this flow 2015 revised National Curriculum aimed to cultivate students of abilities of imagining liberally and inventing scientifically and technically. However imagination including imagination in humanities has not been researched in mathematics education part until nowadays, so mathematics education using imagination of raising students with ingenious and harmonizing abilities is hard to discuss concretely. In this paper I studied the opinions of various scholars from ancient times to today, and discussed where imagination reveals itself in mathematics practices. With above results I discussed some possible shape of teaching and learning of mathematics using imagination. And finally we discussed that meanings in the humanities and social aspects.