• Title/Summary/Keyword: 수학적 창의성

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Mathematics, Art and 3D-Printing in STEAM Education (수학과 예술을 3D 프린팅으로 연결하는 융합인재교육)

  • Lee, Sang-Gu;Lee, Jae-Yoon;Park, Kyung-Eun;Lee, Jae Hwa;Ahn, Seung-Chul
    • Communications of Mathematical Education
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    • v.29 no.1
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    • pp.35-49
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    • 2015
  • 3D-Printing is one of the most innovative technologies that will be widely used in the 21st century. 3D-Printing also serves as an indispensable tool in STEAM education. In this article, we introduce what we have done in our mathematical modeling class in Uni. and recent R&E project under the support of Korean Foundation for the Advancement of Science and Creativity. We planned a model of STEAM education originating from our wish to make tangible models that use mathematical formulas to express the natural beauty of an object. We used a free, open-source software, Sage, to simulate these models online. Then, we created a program that generates a .STL file from these 3D images. This model can help students understand the natural beauty inherent in mathematics and use formulas and technology tools to simulate models in 3D. Finally, we were able to help students to create their own. STL files through a website we developed by adding Sage code into a Sage notebook. Then students can make and hold a 3D object of their very own. This process shows the possibility that mathematics, art and 3D-Printing can be effectively used to achieve the goals of STEAM education.

Analysis of the Characteristics of the Gifted Elementary School in Computers (초등정보영계들의 특성 분석)

  • Choi, Young-Seon;Lee, Soon-Young;Kim, Kap-Su
    • 한국정보교육학회:학술대회논문집
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    • 2004.08a
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    • pp.289-297
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    • 2004
  • 정보들을 잘 다루는 소수의 인재들만으로도 국가의 경제적 부가가치가 크게 높아지고 있는 지금, 이러한 변화에 맞추어 고급 두뇌인력을 배출하는 영재교육에 대한 관심이 높아지고 있다. 특히 수학, 과학영재에 관한 연구는 무수히 많이 이루어져 있으나 정작 21세기 정보화 사회를 이끌어갈 정보영재에 관한 연구는 미흡한 실정이다. 그러므로 현재 우리나라 정보영재교육에서 무엇보다 시급한 것은 정보영재들의 인지적 정의적 특성에 대한 실증적인 자료의 분석과 이에 대한 연구이다. 그렇다면 정보영재들의 특성은 실제로 어떠할까 라는 의문이 제기된다. 영재관련 연구 중 많이 인용되며 정의적 요소가 포함된 Renzulli(1978)의 삼원모델(Three-ring model)을 보면 영재의 특성을 극단적으로 높을 필요는 없는 '평균 이상의 능력', '높은 창의성', '높은 과제 집착력'으로 보고 있다. 본 고에서는 정보영재들의 특성을 Renzulli(1978)의 삼원모델(Three-ring model)에 의거하여 두 가지 관점에서 분석해 보았다. 첫째, 정보영재집단의 특성은 일반학생집단과 비교해 보았을 때 어떠한 점이 다른가? 둘째, 일반영재집단과 정보영재집단을 비교해 보았을 때 어떠한 차이점이 있는가? 본 고에서 분석 제시되는 연구결과들은 정보영재성을 정의하고, 그에 따른 판별도구 및 정보영재교육프로그램 개발을 위한 실증적 자료가 되어 우리나라 실정에 부합하는 정보영재교육을 수립해 나가는 데에 주춧돌이 될 것이다.

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Scientific Qualifications Reflected in the Exploration of Space Geometry Utilizing 4D Frame (4D 프레임을 활용한 공간도형탐구 담화에 나타난 과학적 소양)

  • Kim, Hwa-Soo
    • Journal of the Korean School Mathematics Society
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    • v.13 no.4
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    • pp.595-618
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    • 2010
  • To grow as talents with future oriented knowledge and creativity, students need imaginative power and creativeness, and to that end, mathematics and science subjects may help. Students need activities that help gain explorative mind for new things, concentrating ability, researching ability and creativeness, and such attributes can be improved through the activities of making various shapes utilizing space geometry in 4D-frame. Such activities not only contribute to defining ability in mathematics but also cherish the qualifications required as architects and space scientists.

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A Programming Language Teaching-Loaming System for the Information-Gifted In Elementary Schools (초등 정보영재를 위한 프로그래밍 언어 교육시스템)

  • Lee, Young-Hwa;Jun, Woo-Chun
    • 한국정보교육학회:학술대회논문집
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    • 2004.01a
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    • pp.304-314
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    • 2004
  • 국가적 차원에서 추진하는 영재교육의 목적은 개인의 자아실현과 더불어 국가와 사회에서 필요로 하는 고급 인재를 양성하는 데 있다. 특히, 정보화 시대를 이끌어 갈 정보영재의 발굴과 교육은 더욱 중요하다. 컴퓨터 교육 중 프로그래밍 교육은 컴퓨터 소양, 창의적 사고와 문제 해결력, 수학적 사고력, 추론 능력을 신장시키는 정보 교육의 중요한 분야임에도 불구하고 정보영재를 위한 체계적인 교육 내용이 확립되어 있지 않은 상태이다. 이에 본 논문에서는 초등정보영재를 위한 프로그레밍 언어교육의 필요성을 살펴보고 프로그래밍 교육을 위한 교육내용을 구성하였으며 논리력 향상 및 문제 해결력 중심의 비주얼 베이직 교육 시스템을 제안하였다. 본 연구의 특징은 첫째, 학습자에게 실제 프로그램을 작성할 수 있는 기회를 제공한다. 둘째, 학습한 이론을 실제 프로그램 작성에 응용할 수 있도록 한다. 셋째, 프로그램상의 오류 수정 활동과 제시된 예제의 다양한 해결 방법을 통해 문제 해결력과 논리적 사고력을 향상시킬 수 있는 프로그래밍 학습 시스템을 제공한다.

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STEAM Training Program for Constellation Space Composition Using Laser Cutter and LED Light Source

  • Heo, Min;Yoo, Geoyung Han;Kim, Yonggi;KIM, HyoungBum
    • The Bulletin of The Korean Astronomical Society
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    • v.46 no.2
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    • pp.54.2-54.2
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    • 2021
  • 지구과학 분야에서 가장 어렵게 느껴지는 내용인 천문분야는 다른 과학 분야와 달리 탐구 대상이 천체들이 먼거리에 있고, 쉽게 관측하기 어려우며, 실험실에서 동일실험과 반복 실험이 불가능하여, 추상적이고 직접 관측하기 어려운 개념에 관한 연구들이 많다. 따라서 이 연구에서는 레이저 커팅기를 사용해 지구과학교과 중 별자리를 구성하는 별들의 상대적 거리를 수학적으로 계산하는 과정과 고등학교 물리교과 중 LED 광원의 원리를 알고 LED 모듈을 제작하여 최종적으로 아름답고 과학적으로 가치가 있는 입체 별자리 교구를 제작하는 형태의 STEAM 교육 프로그램을 개발하고 시범학교 적용을 하였다. 이에 지능정보화 사회에 발맞춰 천문학 지식을 창의 교육의 형태로 교육하는 새로운 교육법을 실현한 연구결과들을 발표하고자 한다. 또한 개발한 프로그램의 효과성을 검증하기 위해 STEAM 관련 태도 검사와 논리적 사고력 검사 및 만족도 검사를 실시하였다. 연구결과 개발된 프로그램이 STEAM 태도 검사와 논리적 사고력에 효과가 있는 것으로 나타났으며, 천문수업에 대한 학생들의 인식은 긍정적이었다. 따라서 후속 연구에서는 다양한 학년 및 위계에 맞는 프로그램의 개발과 다양한 지역 등의 현장 적용을 통한 연구가 진행되어야 할 것으로 판단된다.

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A Study on Solving Triangle Construction Problems Given by a Midpoint of Side and Other Two Points (한 변의 중점과 다른 두 점이 주어진 삼각형 작도문제의 해결에 대한 연구)

  • Han, In-Ki;Lee, Jeong-Soon
    • Journal of the Korean School Mathematics Society
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    • v.12 no.4
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    • pp.365-388
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    • 2009
  • In this paper we solve various triangle construction problems given by three points(a midpoint of side and other two points). We investigate relation between these construction problems, draw out a base problem, and make hierarchy of solved construction problems. In detail we describe analysis for searching solving method, and construction procedure of required triangle.

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Development and evaluation of distance learning for the gifted students in science and mathematics (수학 ${\cdot}$ 과학 연재 원격 교육 프로그램 개발과 평가)

  • Jeong, Young-Kun;Koh, Yeong-Koo;Park, Jong-won;Yim, Jae-Hoon
    • Journal of Gifted/Talented Education
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    • v.13 no.3
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    • pp.1-17
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    • 2003
  • Development and evaluation of distance learning for the gifted students in science and mathematics In this study, we developed and administrated the distance learning for the gifted students in science and mathematics, and analysed their responses. To do this, four types of teaching programs - lectures using program for distance learning, practice activities using simulation program, tasks solving programs based on discussions, and problem solving activities - were developed and students responses were analysed in eight area - stimulus, difficulties, structure, learning circumstances, involvement, interaction, learning outcomes, comparison with other learning -. As results, it was found that many students responded positively and thought programs helped their creativity, logical thinking, intelligent ability, and information searching ability. Students preferred practice activities based on appropriate guidances to lectures providing detailed explanations. And interaction could be stimulated by inducing discussion.

Estimation of the Effectiveness of Basic Engineering Design Education Through Student Survey (학생 설문을 통한 기초설계 교육효과 평가)

  • Won, Yun-jae
    • Journal of Practical Engineering Education
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    • v.11 no.2
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    • pp.159-165
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    • 2019
  • Engineering design education has been established and implemented as three stages of basic design, element design, and capstone design with the introduction of engineering education accreditation system. In the basic design, the concept and procedure of design is introduced to the beginners of engineering, and the creativity and teamwork is practiced rather than mathematical detailed design for the purpose of being connected to and used effectively in the capstone design. In this study, the opinions of the students performing capstone design after taking basic design were surveyed through questionnaire. Overall, students recognize the importance of basic design education and experienced that it is useful. The results indicate that effective basic engineering design education is being carried out, and are considerably agree to those at the professors in the former survey.

Assessment Study on Educational Programs for the Gifted Students in Mathematics (영재학급에서의 수학영재프로그램 평가에 관한 연구)

  • Kim, Jung-Hyun;Whang, Woo-Hyung
    • Communications of Mathematical Education
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    • v.24 no.1
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    • pp.235-257
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    • 2010
  • Contemporary belief is that the creative talented can create new knowledge and lead national development, so lots of countries in the world have interest in Gifted Education. As we well know, U.S.A., England, Russia, Germany, Australia, Israel, and Singapore enforce related laws in Gifted Education to offer Gifted Classes, and our government has also created an Improvement Act in January, 2000 and Enforcement Ordinance for Gifted Improvement Act was also announced in April, 2002. Through this initiation Gifted Education can be possible. Enforcement Ordinance was revised in October, 2008. The main purpose of this revision was to expand the opportunity of Gifted Education to students with special education needs. One of these programs is, the opportunity of Gifted Education to be offered to lots of the Gifted by establishing Special Classes at each school. Also, it is important that the quality of Gifted Education should be combined with the expansion of opportunity for the Gifted. Social opinion is that it will be reckless only to expand the opportunity for the Gifted Education, therefore, assessment on the Teaching and Learning Program for the Gifted is indispensible. In this study, 3 middle schools were selected for the Teaching and Learning Programs in mathematics. Each 1st Grade was reviewed and analyzed through comparative tables between Regular and Gifted Education Programs. Also reviewed was the content of what should be taught, and programs were evaluated on assessment standards which were revised and modified from the present teaching and learning programs in mathematics. Below, research issues were set up to assess the formation of content areas and appropriateness for Teaching and Learning Programs for the Gifted in mathematics. A. Is the formation of special class content areas complying with the 7th national curriculum? 1. Which content areas of regular curriculum is applied in this program? 2. Among Enrichment and Selection in Curriculum for the Gifted, which one is applied in this programs? 3. Are the content areas organized and performed properly? B. Are the Programs for the Gifted appropriate? 1. Are the Educational goals of the Programs aligned with that of Gifted Education in mathematics? 2. Does the content of each program reflect characteristics of mathematical Gifted students and express their mathematical talents? 3. Are Teaching and Learning models and methods diverse enough to express their talents? 4. Can the assessment on each program reflect the Learning goals and content, and enhance Gifted students' thinking ability? The conclusions are as follows: First, the best contents to be taught to the mathematical Gifted were found to be the Numeration, Arithmetic, Geometry, Measurement, Probability, Statistics, Letter and Expression. Also, Enrichment area and Selection area within the curriculum for the Gifted were offered in many ways so that their Giftedness could be fully enhanced. Second, the educational goals of Teaching and Learning Programs for the mathematical Gifted students were in accordance with the directions of mathematical education and philosophy. Also, it reflected that their research ability was successful in reaching the educational goals of improving creativity, thinking ability, problem-solving ability, all of which are required in the set curriculum. In order to accomplish the goals, visualization, symbolization, phasing and exploring strategies were used effectively. Many different of lecturing types, cooperative learning, discovery learning were applied to accomplish the Teaching and Learning model goals. For Teaching and Learning activities, various strategies and models were used to express the students' talents. These activities included experiments, exploration, application, estimation, guess, discussion (conjecture and refutation) reconsideration and so on. There were no mention to the students about evaluation and paper exams. While the program activities were being performed, educational goals and assessment methods were reflected, that is, products, performance assessment, and portfolio were mainly used rather than just paper assessment.

A Study on the Development of a Test for the Identification Gifted Children, based on the Characters of the Creativity and the Information Science (창의성 및 정보과학적 특성을 기반으로 한 정보영재 판별도구 개발연구)

  • Shin, Seung-Yong;Shin, Soo-Bum;Bae, Young-Kwon;Lee, Tae-Wuk
    • The Journal of Korean Association of Computer Education
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    • v.7 no.4
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    • pp.7-14
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    • 2004
  • Since the science of information is appearing no less important than mathematics and natural science as our society is rapidly becoming information-oriented, the necessity to distinguish prodigies of this field and to educate them as early as possible is also being emphasized. Unfortunately, however, the pertinent study is still in its beginning stage. In this study, I have reviewed the character, definition and method to distinguish prodigies and the procedure of developing a test, as well as researching and analyzing the proper process of distinguishing prodigies, through theoretical contemplation on the method of distinguishing the gifted children. Also, I have characterized and defined the information prodigies after clarifying the character of 'Discrete Mathematics' which becomes the basis of the science of information, paving the way to make a test method that can distinguish those information prodigies. As a result of our applying the system by using the distinction test, it turned out that the distinction test was pretty reliable. Accordingly, it can be utilized as a significant distinction test for information prodigies in the forthcoming future.

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